id sid tid token lemma pos eajbcs-826 1 1 admasu admasu NOUN eajbcs-826 1 2 tadesse tadesse PROPN eajbcs-826 1 3 * * SYM eajbcs-826 1 4 1 1 NUM eajbcs-826 1 5 , , PUNCT eajbcs-826 1 6 sirkumar sirkumar NOUN eajbcs-826 1 7 acharya acharya PROPN eajbcs-826 1 8 2 2 NUM eajbcs-826 1 9 , , PUNCT eajbcs-826 1 10 berhanu berhanu NOUN eajbcs-826 1 11 belay3 belay3 NOUN eajbcs-826 1 12 1 1 NUM eajbcs-826 1 13 department department NOUN eajbcs-826 1 14 of of ADP eajbcs-826 1 15 mathematics mathematic NOUN eajbcs-826 1 16 , , PUNCT eajbcs-826 1 17 hawassa hawassa PROPN eajbcs-826 1 18 university university PROPN eajbcs-826 1 19 , , PUNCT eajbcs-826 1 20 ethiopia ethiopia PROPN eajbcs-826 1 21 2 2 NUM eajbcs-826 1 22 department department NOUN eajbcs-826 1 23 of of ADP eajbcs-826 1 24 mathematics mathematic NOUN eajbcs-826 1 25 , , PUNCT eajbcs-826 1 26 kiit kiit PROPN eajbcs-826 1 27 university university PROPN eajbcs-826 1 28 , , PUNCT eajbcs-826 1 29 bhubaneswar bhubaneswar NOUN eajbcs-826 1 30 , , PUNCT eajbcs-826 1 31 india india PROPN eajbcs-826 1 32 3department 3department PROPN eajbcs-826 1 33 of of ADP eajbcs-826 1 34 mathematics mathematic NOUN eajbcs-826 1 35 , , PUNCT eajbcs-826 1 36 debretabor debretabor PROPN eajbcs-826 1 37 university university PROPN eajbcs-826 1 38 , , PUNCT eajbcs-826 1 39 ethiopia ethiopia PROPN eajbcs-826 1 40 keywords keyword VERB eajbcs-826 1 41 : : PUNCT eajbcs-826 1 42 multi multi ADJ eajbcs-826 1 43 - - ADJ eajbcs-826 1 44 objective objective ADJ eajbcs-826 1 45 programming programming NOUN eajbcs-826 1 46 ; ; PUNCT eajbcs-826 1 47 triangular triangular NOUN eajbcs-826 1 48 fuzzy fuzzy ADJ eajbcs-826 1 49 number number NOUN eajbcs-826 1 50 ; ; PUNCT eajbcs-826 1 51 fuzzy fuzzy ADJ eajbcs-826 1 52 transportation transportation NOUN eajbcs-826 1 53 problem problem NOUN eajbcs-826 1 54 ; ; PUNCT eajbcs-826 1 55 fuzzy fuzzy ADJ eajbcs-826 1 56 decision decision NOUN eajbcs-826 1 57 variables variable NOUN eajbcs-826 1 58 ; ; PUNCT eajbcs-826 1 59 ranking rank VERB eajbcs-826 1 60 function function NOUN eajbcs-826 1 61 ; ; PUNCT eajbcs-826 1 62 fuzzy fuzzy ADJ eajbcs-826 1 63 programming programming NOUN eajbcs-826 1 64 method method NOUN eajbcs-826 1 65 . . PUNCT eajbcs-826 2 1 abstract abstract ADJ eajbcs-826 2 2 the the DET eajbcs-826 2 3 aim aim NOUN eajbcs-826 2 4 this this DET eajbcs-826 2 5 study study NOUN eajbcs-826 2 6 is be AUX eajbcs-826 2 7 presenting present VERB eajbcs-826 2 8 the the DET eajbcs-826 2 9 solution solution NOUN eajbcs-826 2 10 methodology methodology NOUN eajbcs-826 2 11 of of ADP eajbcs-826 2 12 multiobjective multiobjective ADJ eajbcs-826 2 13 fuzzy fuzzy ADJ eajbcs-826 2 14 transportation transportation NOUN eajbcs-826 2 15 problem problem NOUN eajbcs-826 2 16 with with ADP eajbcs-826 2 17 fuzzy fuzzy ADJ eajbcs-826 2 18 decision decision NOUN eajbcs-826 2 19 variables variable NOUN eajbcs-826 2 20 , , PUNCT eajbcs-826 2 21 where where SCONJ eajbcs-826 2 22 all all DET eajbcs-826 2 23 the the DET eajbcs-826 2 24 input input NOUN eajbcs-826 2 25 parameters parameter NOUN eajbcs-826 2 26 and and CCONJ eajbcs-826 2 27 decisions decision NOUN eajbcs-826 2 28 variables variable NOUN eajbcs-826 2 29 of of ADP eajbcs-826 2 30 the the DET eajbcs-826 2 31 programming programming NOUN eajbcs-826 2 32 problems problem NOUN eajbcs-826 2 33 are be AUX eajbcs-826 2 34 assumed assume VERB eajbcs-826 2 35 to to PART eajbcs-826 2 36 be be AUX eajbcs-826 2 37 triangular triangular VERB eajbcs-826 2 38 fuzzy fuzzy ADJ eajbcs-826 2 39 number number NOUN eajbcs-826 2 40 and and CCONJ eajbcs-826 2 41 triangular triangular NOUN eajbcs-826 2 42 fuzzy fuzzy ADJ eajbcs-826 2 43 decision decision NOUN eajbcs-826 2 44 variables variable NOUN eajbcs-826 2 45 respectively respectively ADV eajbcs-826 2 46 . . PUNCT eajbcs-826 3 1 moreover moreover ADV eajbcs-826 3 2 the the DET eajbcs-826 3 3 objectives objective NOUN eajbcs-826 3 4 under under ADP eajbcs-826 3 5 considerations consideration NOUN eajbcs-826 3 6 are be AUX eajbcs-826 3 7 minimization minimization NOUN eajbcs-826 3 8 of of ADP eajbcs-826 3 9 cost cost NOUN eajbcs-826 3 10 of of ADP eajbcs-826 3 11 transportation transportation NOUN eajbcs-826 3 12 and and CCONJ eajbcs-826 3 13 minimization minimization NOUN eajbcs-826 3 14 of of ADP eajbcs-826 3 15 shipping shipping NOUN eajbcs-826 3 16 time time NOUN eajbcs-826 3 17 under under ADP eajbcs-826 3 18 fuzzy fuzzy ADJ eajbcs-826 3 19 environment environment NOUN eajbcs-826 3 20 . . PUNCT eajbcs-826 4 1 the the DET eajbcs-826 4 2 fuzziness fuzziness NOUN eajbcs-826 4 3 of of ADP eajbcs-826 4 4 the the DET eajbcs-826 4 5 objective objective ADJ eajbcs-826 4 6 functions function NOUN eajbcs-826 4 7 and and CCONJ eajbcs-826 4 8 the the DET eajbcs-826 4 9 fuzzy fuzzy ADJ eajbcs-826 4 10 constraints constraint NOUN eajbcs-826 4 11 of of ADP eajbcs-826 4 12 the the DET eajbcs-826 4 13 programming programming NOUN eajbcs-826 4 14 problem problem NOUN eajbcs-826 4 15 are be AUX eajbcs-826 4 16 defuzzified defuzzifie VERB eajbcs-826 4 17 using use VERB eajbcs-826 4 18 the the DET eajbcs-826 4 19 ranking rank VERB eajbcs-826 4 20 function function NOUN eajbcs-826 4 21 and and CCONJ eajbcs-826 4 22 the the DET eajbcs-826 4 23 equality equality NOUN eajbcs-826 4 24 property property NOUN eajbcs-826 4 25 between between ADP eajbcs-826 4 26 two two NUM eajbcs-826 4 27 fuzzy fuzzy ADJ eajbcs-826 4 28 numbers number NOUN eajbcs-826 4 29 , , PUNCT eajbcs-826 4 30 respectively respectively ADV eajbcs-826 4 31 . . PUNCT eajbcs-826 5 1 the the DET eajbcs-826 5 2 consequent consequent ADJ eajbcs-826 5 3 crisp crisp ADJ eajbcs-826 5 4 multi multi ADJ eajbcs-826 5 5 - - ADJ eajbcs-826 5 6 objective objective ADJ eajbcs-826 5 7 fuzzy fuzzy ADJ eajbcs-826 5 8 transportation transportation NOUN eajbcs-826 5 9 problem problem NOUN eajbcs-826 5 10 is be AUX eajbcs-826 5 11 tackled tackle VERB eajbcs-826 5 12 by by ADP eajbcs-826 5 13 employing employ VERB eajbcs-826 5 14 fuzzy fuzzy ADJ eajbcs-826 5 15 mathematical mathematical ADJ eajbcs-826 5 16 programming programming NOUN eajbcs-826 5 17 approach approach NOUN eajbcs-826 5 18 . . PUNCT eajbcs-826 6 1 finally finally ADV eajbcs-826 6 2 fuzzy fuzzy ADJ eajbcs-826 6 3 decision decision NOUN eajbcs-826 6 4 is be AUX eajbcs-826 6 5 made make VERB eajbcs-826 6 6 after after ADP eajbcs-826 6 7 solving solve VERB eajbcs-826 6 8 the the DET eajbcs-826 6 9 resultant resultant NOUN eajbcs-826 6 10 mathematical mathematical ADJ eajbcs-826 6 11 programming programming NOUN eajbcs-826 6 12 problem problem NOUN eajbcs-826 6 13 using use VERB eajbcs-826 6 14 lingo(schrage lingo(schrage PROPN eajbcs-826 6 15 and and CCONJ eajbcs-826 6 16 lindo lindo PROPN eajbcs-826 6 17 systems system NOUN eajbcs-826 6 18 ( ( PUNCT eajbcs-826 6 19 1997 1997 NUM eajbcs-826 6 20 ) ) PUNCT eajbcs-826 6 21 ) ) PUNCT eajbcs-826 6 22 software software NOUN eajbcs-826 6 23 . . PUNCT eajbcs-826 7 1 illustrative illustrative PROPN eajbcs-826 7 2 numerical numerical PROPN eajbcs-826 7 3 example example NOUN eajbcs-826 7 4 is be AUX eajbcs-826 7 5 presented present VERB eajbcs-826 7 6 in in ADP eajbcs-826 7 7 support support NOUN eajbcs-826 7 8 of of ADP eajbcs-826 7 9 the the DET eajbcs-826 7 10 proposed propose VERB eajbcs-826 7 11 methodology methodology NOUN eajbcs-826 7 12 . . PUNCT eajbcs-826 8 1 the the DET eajbcs-826 8 2 transportation transportation NOUN eajbcs-826 8 3 of of ADP eajbcs-826 8 4 a a DET eajbcs-826 8 5 product product NOUN eajbcs-826 8 6 manufactured manufacture VERB eajbcs-826 8 7 at at ADP eajbcs-826 8 8 different different ADJ eajbcs-826 8 9 plants plant NOUN eajbcs-826 8 10 ( ( PUNCT eajbcs-826 8 11 supply supply NOUN eajbcs-826 8 12 origins origin NOUN eajbcs-826 8 13 ) ) PUNCT eajbcs-826 8 14 to to ADP eajbcs-826 8 15 a a DET eajbcs-826 8 16 number number NOUN eajbcs-826 8 17 of of ADP eajbcs-826 8 18 different different ADJ eajbcs-826 8 19 warehouses warehouse NOUN eajbcs-826 8 20 ( ( PUNCT eajbcs-826 8 21 demand demand NOUN eajbcs-826 8 22 destinations destination NOUN eajbcs-826 8 23 ) ) PUNCT eajbcs-826 8 24 . . PUNCT eajbcs-826 9 1 transportation transportation NOUN eajbcs-826 9 2 problems problem NOUN eajbcs-826 9 3 were be AUX eajbcs-826 9 4 well well ADV eajbcs-826 9 5 known know VERB eajbcs-826 9 6 as as ADP eajbcs-826 9 7 a a DET eajbcs-826 9 8 basic basic ADJ eajbcs-826 9 9 network network NOUN eajbcs-826 9 10 problem problem NOUN eajbcs-826 9 11 in in ADP eajbcs-826 9 12 its its PRON eajbcs-826 9 13 classical classical ADJ eajbcs-826 9 14 category category NOUN eajbcs-826 9 15 . . PUNCT eajbcs-826 10 1 the the DET eajbcs-826 10 2 formulation formulation NOUN eajbcs-826 10 3 and and CCONJ eajbcs-826 10 4 discussion discussion NOUN eajbcs-826 10 5 of of ADP eajbcs-826 10 6 transportation transportation NOUN eajbcs-826 10 7 model model NOUN eajbcs-826 10 8 was be AUX eajbcs-826 10 9 introduced introduce VERB eajbcs-826 10 10 by by ADP eajbcs-826 10 11 hitchcock hitchcock PROPN eajbcs-826 10 12 ( ( PUNCT eajbcs-826 10 13 1941 1941 NUM eajbcs-826 10 14 ) ) PUNCT eajbcs-826 10 15 . . PUNCT eajbcs-826 11 1 classical classical ADJ eajbcs-826 11 2 tp tp NOUN eajbcs-826 11 3 models model NOUN eajbcs-826 11 4 and and CCONJ eajbcs-826 11 5 techniques technique NOUN eajbcs-826 11 6 have have AUX eajbcs-826 11 7 been be AUX eajbcs-826 11 8 effectively effectively ADV eajbcs-826 11 9 applied apply VERB eajbcs-826 11 10 to to ADP eajbcs-826 11 11 problems problem NOUN eajbcs-826 11 12 with with ADP eajbcs-826 11 13 a a DET eajbcs-826 11 14 well well ADV eajbcs-826 11 15 - - PUNCT eajbcs-826 11 16 defined define VERB eajbcs-826 11 17 or or CCONJ eajbcs-826 11 18 accurately accurately ADV eajbcs-826 11 19 known know VERB eajbcs-826 11 20 parameters parameter NOUN eajbcs-826 11 21 for for ADP eajbcs-826 11 22 many many ADJ eajbcs-826 11 23 years year NOUN eajbcs-826 11 24 . . PUNCT eajbcs-826 12 1 the the DET eajbcs-826 12 2 coefficient coefficient NOUN eajbcs-826 12 3 parameters parameter NOUN eajbcs-826 12 4 of of ADP eajbcs-826 12 5 the the DET eajbcs-826 12 6 majority majority NOUN eajbcs-826 12 7 of of ADP eajbcs-826 12 8 tp tp NOUN eajbcs-826 12 9 models model NOUN eajbcs-826 12 10 are be AUX eajbcs-826 12 11 considered consider VERB eajbcs-826 12 12 * * PUNCT eajbcs-826 12 13 corresponding correspond VERB eajbcs-826 12 14 author author NOUN eajbcs-826 12 15 : : PUNCT eajbcs-826 12 16 east east ADJ eajbcs-826 12 17 african african PROPN eajbcs-826 12 18 journal journal PROPN eajbcs-826 12 19 of of ADP eajbcs-826 12 20 biophysical biophysical ADJ eajbcs-826 12 21 and and CCONJ eajbcs-826 12 22 computational computational ADJ eajbcs-826 12 23 sciences sciences PROPN eajbcs-826 12 24 journal journal PROPN eajbcs-826 12 25 homepage homepage NOUN eajbcs-826 12 26 : : PUNCT eajbcs-826 12 27 https://journals.hu.edu.et/hu-journals/index.php/eajbcs https://journals.hu.edu.et/hu-journals/index.php/eajbcs VERB eajbcs-826 12 28 college college NOUN eajbcs-826 12 29 of of ADP eajbcs-826 12 30 natural natural PROPN eajbcs-826 12 31 & & CCONJ eajbcs-826 12 32 com com PROPN eajbcs-826 13 1 h h NOUN eajbcs-826 13 2 pu pu PROPN eajbcs-826 13 3 aw aw INTJ eajbcs-826 13 4 tat tat NOUN eajbcs-826 13 5 as as ADP eajbcs-826 13 6 ion ion NOUN eajbcs-826 13 7 sa sa NOUN eajbcs-826 13 8 u u PROPN eajbcs-826 13 9 al al PROPN eajbcs-826 13 10 n n PROPN eajbcs-826 13 11 sc sc PROPN eajbcs-826 14 1 i i X eajbcs-826 14 2 ve ve VERB eajbcs-826 14 3 ie ie ADV eajbcs-826 14 4 r r PROPN eajbcs-826 14 5 nc nc PROPN eajbcs-826 14 6 sit sit PROPN eajbcs-826 14 7 e e PROPN eajbcs-826 14 8 y y PROPN eajbcs-826 14 9 s s PART eajbcs-826 14 10 year year NOUN eajbcs-826 14 11 2021 2021 NUM eajbcs-826 14 12 volume volume NOUN eajbcs-826 14 13 xx xx NUM eajbcs-826 15 1 no no DET eajbcs-826 15 2 xx xx NUM eajbcs-826 15 3 email email NOUN eajbcs-826 15 4 : : PUNCT eajbcs-826 15 5 admasut@hu.edu.et admasut@hu.edu.et ADJ eajbcs-826 15 6 transportation transportation NOUN eajbcs-826 15 7 problem(tp problem(tp NOUN eajbcs-826 15 8 ) ) PUNCT eajbcs-826 15 9 is be AUX eajbcs-826 15 10 a a DET eajbcs-826 15 11 particular particular ADJ eajbcs-826 15 12 class class NOUN eajbcs-826 15 13 of of ADP eajbcs-826 15 14 linear linear PROPN eajbcs-826 15 15 programming programming NOUN eajbcs-826 15 16 , , PUNCT eajbcs-826 15 17 which which PRON eajbcs-826 15 18 is be AUX eajbcs-826 15 19 associated associate VERB eajbcs-826 15 20 with with ADP eajbcs-826 15 21 day day NOUN eajbcs-826 15 22 - - PUNCT eajbcs-826 15 23 to to ADP eajbcs-826 15 24 - - PUNCT eajbcs-826 15 25 day day NOUN eajbcs-826 15 26 activities activity NOUN eajbcs-826 15 27 in in ADP eajbcs-826 15 28 our our PRON eajbcs-826 15 29 real real ADJ eajbcs-826 15 30 life life NOUN eajbcs-826 15 31 and and CCONJ eajbcs-826 15 32 mainly mainly ADV eajbcs-826 15 33 deals deal NOUN eajbcs-826 15 34 with with ADP eajbcs-826 15 35 logistics logistic NOUN eajbcs-826 15 36 . . PUNCT eajbcs-826 16 1 it it PRON eajbcs-826 16 2 helps help VERB eajbcs-826 16 3 in in ADP eajbcs-826 16 4 solving solve VERB eajbcs-826 16 5 problems problem NOUN eajbcs-826 16 6 on on ADP eajbcs-826 16 7 distribution distribution NOUN eajbcs-826 16 8 and and CCONJ eajbcs-826 16 9 transportation transportation NOUN eajbcs-826 16 10 of of ADP eajbcs-826 16 11 resources resource NOUN eajbcs-826 16 12 from from ADP eajbcs-826 16 13 one one NUM eajbcs-826 16 14 place place NOUN eajbcs-826 16 15 to to ADP eajbcs-826 16 16 another another PRON eajbcs-826 16 17 . . PUNCT eajbcs-826 17 1 the the DET eajbcs-826 17 2 goods good NOUN eajbcs-826 17 3 are be AUX eajbcs-826 17 4 transported transport VERB eajbcs-826 17 5 from from ADP eajbcs-826 17 6 a a DET eajbcs-826 17 7 set set NOUN eajbcs-826 17 8 of of ADP eajbcs-826 17 9 sources source NOUN eajbcs-826 17 10 ( ( PUNCT eajbcs-826 17 11 e.g. e.g. ADV eajbcs-826 17 12 , , PUNCT eajbcs-826 17 13 factory factory NOUN eajbcs-826 17 14 ) ) PUNCT eajbcs-826 17 15 to to ADP eajbcs-826 17 16 a a DET eajbcs-826 17 17 set set NOUN eajbcs-826 17 18 of of ADP eajbcs-826 17 19 destinations destination NOUN eajbcs-826 17 20 ( ( PUNCT eajbcs-826 17 21 e.g. e.g. ADV eajbcs-826 17 22 , , PUNCT eajbcs-826 17 23 warehouse warehouse NOUN eajbcs-826 17 24 ) ) PUNCT eajbcs-826 17 25 to to PART eajbcs-826 17 26 meet meet VERB eajbcs-826 17 27 the the DET eajbcs-826 17 28 specific specific ADJ eajbcs-826 17 29 r r NOUN eajbcs-826 17 30 equirements equirement NOUN eajbcs-826 17 31 , , PUNCT eajbcs-826 17 32 das das PROPN eajbcs-826 17 33 et et PROPN eajbcs-826 17 34 al al PROPN eajbcs-826 17 35 . . PUNCT eajbcs-826 18 1 ( ( PUNCT eajbcs-826 18 2 2016 2016 NUM eajbcs-826 18 3 ) ) PUNCT eajbcs-826 18 4 . . PUNCT eajbcs-826 19 1 inother inother ADP eajbcs-826 19 2 words word NOUN eajbcs-826 19 3 , , PUNCT eajbcs-826 19 4 transportation transportation NOUN eajbcs-826 19 5 problems problem NOUN eajbcs-826 19 6 deal deal VERB eajbcs-826 19 7 with with ADP eajbcs-826 19 8 _ _ PUNCT eajbcs-826 19 9 _ _ PUNCT eajbcs-826 20 1 _ _ PUNCT eajbcs-826 21 1 _ _ PUNCT eajbcs-826 22 1 _ _ PUNCT eajbcs-826 23 1 _ _ PUNCT eajbcs-826 24 1 _ _ PUNCT eajbcs-826 25 1 _ _ PUNCT eajbcs-826 26 1 _ _ PUNCT eajbcs-826 27 1 _ _ PUNCT eajbcs-826 28 1 _ _ PUNCT eajbcs-826 29 1 _ _ PUNCT eajbcs-826 30 1 _ _ PUNCT eajbcs-826 31 1 _ _ PUNCT eajbcs-826 32 1 _ _ PUNCT eajbcs-826 33 1 _ _ PUNCT eajbcs-826 34 1 _ _ PUNCT eajbcs-826 35 1 _ _ PUNCT eajbcs-826 36 1 _ _ PUNCT eajbcs-826 37 1 _ _ PUNCT eajbcs-826 38 1 _ _ PUNCT eajbcs-826 39 1 _ _ PUNCT eajbcs-826 40 1 _ _ PUNCT eajbcs-826 41 1 _ _ PUNCT eajbcs-826 42 1 _ _ PUNCT eajbcs-826 43 1 _ _ PUNCT eajbcs-826 44 1 _ _ PUNCT eajbcs-826 45 1 _ _ PUNCT eajbcs-826 46 1 _ _ PUNCT eajbcs-826 47 1 _ _ PUNCT eajbcs-826 48 1 _ _ PUNCT eajbcs-826 48 2 https://dx.doi.org/10.4314/eajbcs.v4i2.4s https://dx.doi.org/10.4314/eajbcs.v4i2.4s PROPN eajbcs-826 48 3 east east PROPN eajbcs-826 48 4 afr afr PROPN eajbcs-826 48 5 . . PUNCT eajbcs-826 49 1 j. j. PROPN eajbcs-826 49 2 biophys biophys PROPN eajbcs-826 49 3 . . PUNCT eajbcs-826 50 1 comput comput NOUN eajbcs-826 50 2 . . PUNCT eajbcs-826 51 1 sci sci PROPN eajbcs-826 51 2 . . PUNCT eajbcs-826 51 3 ( ( PUNCT eajbcs-826 51 4 2023 2023 NUM eajbcs-826 51 5 ) ) PUNCT eajbcs-826 51 6 , , PUNCT eajbcs-826 51 7 vol vol NOUN eajbcs-826 51 8 . . PROPN eajbcs-826 51 9 4 4 NUM eajbcs-826 51 10 , , PUNCT eajbcs-826 51 11 issue issue NOUN eajbcs-826 51 12 . . PUNCT eajbcs-826 52 1 2 2 NUM eajbcs-826 52 2 , , PUNCT eajbcs-826 52 3 43 43 NUM eajbcs-826 52 4 - - SYM eajbcs-826 52 5 53 53 NUM eajbcs-826 52 6 43 43 NUM eajbcs-826 52 7 introduction introduction NOUN eajbcs-826 52 8 fuzzy fuzzy ADJ eajbcs-826 52 9 programming programming NOUN eajbcs-826 52 10 approach approach NOUN eajbcs-826 52 11 to to PART eajbcs-826 52 12 solve solve VERB eajbcs-826 52 13 multi multi ADJ eajbcs-826 52 14 - - ADJ eajbcs-826 52 15 objective objective ADJ eajbcs-826 52 16 fully fully ADV eajbcs-826 52 17 fuzzy fuzzy ADJ eajbcs-826 52 18 transportation transportation NOUN eajbcs-826 52 19 problem problem NOUN eajbcs-826 52 20 research research NOUN eajbcs-826 52 21 article article NOUN eajbcs-826 52 22 to to PART eajbcs-826 52 23 be be AUX eajbcs-826 52 24 single single ADJ eajbcs-826 52 25 real real ADJ eajbcs-826 52 26 number number NOUN eajbcs-826 52 27 which which PRON eajbcs-826 52 28 is be AUX eajbcs-826 52 29 accurately accurately ADV eajbcs-826 52 30 known know VERB eajbcs-826 52 31 . . PUNCT eajbcs-826 53 1 however however ADV eajbcs-826 53 2 , , PUNCT eajbcs-826 53 3 such such ADJ eajbcs-826 53 4 assumptions assumption NOUN eajbcs-826 53 5 are be AUX eajbcs-826 53 6 not not PART eajbcs-826 53 7 suitable suitable ADJ eajbcs-826 53 8 for for ADP eajbcs-826 53 9 dealing deal VERB eajbcs-826 53 10 with with ADP eajbcs-826 53 11 a a DET eajbcs-826 53 12 number number NOUN eajbcs-826 53 13 of of ADP eajbcs-826 53 14 issues issue NOUN eajbcs-826 53 15 that that PRON eajbcs-826 53 16 occur occur VERB eajbcs-826 53 17 in in ADP eajbcs-826 53 18 real real ADJ eajbcs-826 53 19 life life NOUN eajbcs-826 53 20 because because SCONJ eajbcs-826 53 21 many many ADJ eajbcs-826 53 22 of of ADP eajbcs-826 53 23 the the DET eajbcs-826 53 24 parameters parameter NOUN eajbcs-826 53 25 are be AUX eajbcs-826 53 26 imprecise imprecise ADJ eajbcs-826 53 27 and and CCONJ eajbcs-826 53 28 vague vague ADJ eajbcs-826 53 29 as as ADP eajbcs-826 53 30 a a DET eajbcs-826 53 31 result result NOUN eajbcs-826 53 32 of of ADP eajbcs-826 53 33 both both CCONJ eajbcs-826 53 34 natural natural ADJ eajbcs-826 53 35 and and CCONJ eajbcs-826 53 36 anthropogenic anthropogenic ADJ eajbcs-826 53 37 effects effect NOUN eajbcs-826 53 38 . . PUNCT eajbcs-826 54 1 this this PRON eajbcs-826 54 2 motivates motivate VERB eajbcs-826 54 3 to to PART eajbcs-826 54 4 formulate formulate VERB eajbcs-826 54 5 the the DET eajbcs-826 54 6 tp tp NOUN eajbcs-826 54 7 models model NOUN eajbcs-826 54 8 in in ADP eajbcs-826 54 9 uncertain uncertain ADJ eajbcs-826 54 10 environment environment NOUN eajbcs-826 54 11 . . PUNCT eajbcs-826 55 1 one one NUM eajbcs-826 55 2 of of ADP eajbcs-826 55 3 the the DET eajbcs-826 55 4 uncertain uncertain ADJ eajbcs-826 55 5 environments environment NOUN eajbcs-826 55 6 is be AUX eajbcs-826 55 7 fuzzy fuzzy ADJ eajbcs-826 55 8 environ environ X eajbcs-826 55 9 - - PUNCT eajbcs-826 55 10 ment ment NOUN eajbcs-826 55 11 . . PUNCT eajbcs-826 56 1 moreover moreover ADV eajbcs-826 56 2 in in ADP eajbcs-826 56 3 most most ADJ eajbcs-826 56 4 of of ADP eajbcs-826 56 5 the the DET eajbcs-826 56 6 literatures literature NOUN eajbcs-826 56 7 , , PUNCT eajbcs-826 56 8 authors author NOUN eajbcs-826 56 9 assumed assume VERB eajbcs-826 56 10 the the DET eajbcs-826 56 11 decision decision NOUN eajbcs-826 56 12 parameters parameter NOUN eajbcs-826 56 13 as as ADP eajbcs-826 56 14 fuzzy fuzzy ADJ eajbcs-826 56 15 numbers number NOUN eajbcs-826 56 16 while while SCONJ eajbcs-826 56 17 the the DET eajbcs-826 56 18 decision decision NOUN eajbcs-826 56 19 variables variable VERB eajbcs-826 56 20 as as ADP eajbcs-826 56 21 crisp crisp ADJ eajbcs-826 56 22 ones one NOUN eajbcs-826 56 23 . . PUNCT eajbcs-826 57 1 since since SCONJ eajbcs-826 57 2 the the DET eajbcs-826 57 3 variables variable NOUN eajbcs-826 57 4 are be AUX eajbcs-826 57 5 crisp crisp ADJ eajbcs-826 57 6 , , PUNCT eajbcs-826 57 7 the the DET eajbcs-826 57 8 solution solution NOUN eajbcs-826 57 9 obtained obtain VERB eajbcs-826 57 10 as as ADP eajbcs-826 57 11 the the DET eajbcs-826 57 12 crisp crisp NOUN eajbcs-826 57 13 , , PUNCT eajbcs-826 57 14 which which PRON eajbcs-826 57 15 is be AUX eajbcs-826 57 16 a a DET eajbcs-826 57 17 real real ADJ eajbcs-826 57 18 number number NOUN eajbcs-826 57 19 . . PUNCT eajbcs-826 58 1 the the DET eajbcs-826 58 2 solution solution NOUN eajbcs-826 58 3 is be AUX eajbcs-826 58 4 exact exact ADJ eajbcs-826 58 5 value value NOUN eajbcs-826 58 6 in in ADP eajbcs-826 58 7 the the DET eajbcs-826 58 8 fuzzy fuzzy ADJ eajbcs-826 58 9 programming programming NOUN eajbcs-826 58 10 problems problem NOUN eajbcs-826 58 11 with with ADP eajbcs-826 58 12 fuzzy fuzzy ADJ eajbcs-826 58 13 parameters parameter NOUN eajbcs-826 58 14 . . PUNCT eajbcs-826 59 1 the the DET eajbcs-826 59 2 fuzzy fuzzy ADJ eajbcs-826 59 3 aspect aspect NOUN eajbcs-826 59 4 of of ADP eajbcs-826 59 5 the the DET eajbcs-826 59 6 decision decision NOUN eajbcs-826 59 7 is be AUX eajbcs-826 59 8 partly partly ADV eajbcs-826 59 9 lost lose VERB eajbcs-826 59 10 in in ADP eajbcs-826 59 11 this this DET eajbcs-826 59 12 case case NOUN eajbcs-826 59 13 so so ADV eajbcs-826 59 14 , , PUNCT eajbcs-826 59 15 it it PRON eajbcs-826 59 16 is be AUX eajbcs-826 59 17 reasonable reasonable ADJ eajbcs-826 59 18 and and CCONJ eajbcs-826 59 19 important important ADJ eajbcs-826 59 20 to to PART eajbcs-826 59 21 consider consider VERB eajbcs-826 59 22 fuzzy fuzzy ADJ eajbcs-826 59 23 mathematical mathematical ADJ eajbcs-826 59 24 programming programming NOUN eajbcs-826 59 25 problem problem NOUN eajbcs-826 59 26 with with ADP eajbcs-826 59 27 fuzzy fuzzy ADJ eajbcs-826 59 28 decision decision NOUN eajbcs-826 59 29 variables variable NOUN eajbcs-826 59 30 . . PUNCT eajbcs-826 60 1 fuzzy fuzzy ADJ eajbcs-826 60 2 transportation transportation NOUN eajbcs-826 60 3 problems problem NOUN eajbcs-826 60 4 involving involve VERB eajbcs-826 60 5 fuzzy fuzzy ADJ eajbcs-826 60 6 decision decision NOUN eajbcs-826 60 7 variables variable NOUN eajbcs-826 60 8 are be AUX eajbcs-826 60 9 considered consider VERB eajbcs-826 60 10 in in ADP eajbcs-826 60 11 this this DET eajbcs-826 60 12 study study NOUN eajbcs-826 60 13 . . PUNCT eajbcs-826 61 1 kaur kaur PROPN eajbcs-826 61 2 and and CCONJ eajbcs-826 61 3 kumar kumar PROPN eajbcs-826 61 4 ( ( PUNCT eajbcs-826 61 5 2012 2012 NUM eajbcs-826 61 6 ) ) PUNCT eajbcs-826 61 7 studied study VERB eajbcs-826 61 8 a a DET eajbcs-826 61 9 special special ADJ eajbcs-826 61 10 type type NOUN eajbcs-826 61 11 of of ADP eajbcs-826 61 12 fuzzy fuzzy ADJ eajbcs-826 61 13 tp tp NOUN eajbcs-826 61 14 by by ADP eajbcs-826 61 15 assuming assume VERB eajbcs-826 61 16 that that SCONJ eajbcs-826 61 17 a a DET eajbcs-826 61 18 decision decision NOUN eajbcs-826 61 19 maker maker NOUN eajbcs-826 61 20 is be AUX eajbcs-826 61 21 uncertain uncertain ADJ eajbcs-826 61 22 about about ADP eajbcs-826 61 23 the the DET eajbcs-826 61 24 precise precise ADJ eajbcs-826 61 25 values value NOUN eajbcs-826 61 26 of of ADP eajbcs-826 61 27 transportation transportation NOUN eajbcs-826 61 28 cost cost NOUN eajbcs-826 61 29 only only ADV eajbcs-826 61 30 , , PUNCT eajbcs-826 61 31 where where SCONJ eajbcs-826 61 32 the the DET eajbcs-826 61 33 transportation transportation NOUN eajbcs-826 61 34 cost cost NOUN eajbcs-826 61 35 is be AUX eajbcs-826 61 36 represented represent VERB eajbcs-826 61 37 by by ADP eajbcs-826 61 38 generalized generalized ADJ eajbcs-826 61 39 trapezoidal trapezoidal ADJ eajbcs-826 61 40 fuzzy fuzzy ADJ eajbcs-826 61 41 numbers number NOUN eajbcs-826 61 42 . . PUNCT eajbcs-826 62 1 in in ADP eajbcs-826 62 2 their their PRON eajbcs-826 62 3 proposed propose VERB eajbcs-826 62 4 work work NOUN eajbcs-826 62 5 all all DET eajbcs-826 62 6 the the DET eajbcs-826 62 7 supply supply NOUN eajbcs-826 62 8 and and CCONJ eajbcs-826 62 9 demand demand NOUN eajbcs-826 62 10 of of ADP eajbcs-826 62 11 products product NOUN eajbcs-826 62 12 are be AUX eajbcs-826 62 13 crisp crisp ADJ eajbcs-826 62 14 parameters parameter NOUN eajbcs-826 62 15 that that PRON eajbcs-826 62 16 means mean VERB eajbcs-826 62 17 there there PRON eajbcs-826 62 18 is be VERB eajbcs-826 62 19 no no DET eajbcs-826 62 20 uncertainty uncertainty NOUN eajbcs-826 62 21 about about ADP eajbcs-826 62 22 the the DET eajbcs-826 62 23 supply supply NOUN eajbcs-826 62 24 and and CCONJ eajbcs-826 62 25 demand demand NOUN eajbcs-826 62 26 of of ADP eajbcs-826 62 27 the the DET eajbcs-826 62 28 product product NOUN eajbcs-826 62 29 . . PUNCT eajbcs-826 63 1 according accord VERB eajbcs-826 63 2 to to ADP eajbcs-826 63 3 the the DET eajbcs-826 63 4 explanation explanation NOUN eajbcs-826 63 5 of of ADP eajbcs-826 63 6 kumar kumar PROPN eajbcs-826 63 7 and and CCONJ eajbcs-826 63 8 kaur kaur PROPN eajbcs-826 63 9 ( ( PUNCT eajbcs-826 63 10 2011 2011 NUM eajbcs-826 63 11 ) ) PUNCT eajbcs-826 63 12 , , PUNCT eajbcs-826 63 13 there there PRON eajbcs-826 63 14 may may AUX eajbcs-826 63 15 be be AUX eajbcs-826 63 16 factors factor NOUN eajbcs-826 63 17 which which PRON eajbcs-826 63 18 imposes impose VERB eajbcs-826 63 19 the the DET eajbcs-826 63 20 occurrences occurrence NOUN eajbcs-826 63 21 of of ADP eajbcs-826 63 22 fuzziness fuzziness NOUN eajbcs-826 63 23 in in ADP eajbcs-826 63 24 tp tp NOUN eajbcs-826 63 25 . . PUNCT eajbcs-826 64 1 some some PRON eajbcs-826 64 2 of of ADP eajbcs-826 64 3 these these PRON eajbcs-826 64 4 are be AUX eajbcs-826 64 5 , , PUNCT eajbcs-826 64 6 the the DET eajbcs-826 64 7 decision decision NOUN eajbcs-826 64 8 maker maker NOUN eajbcs-826 64 9 has have VERB eajbcs-826 64 10 not not PART eajbcs-826 64 11 enough enough ADJ eajbcs-826 64 12 information information NOUN eajbcs-826 64 13 about about ADP eajbcs-826 64 14 the the DET eajbcs-826 64 15 unit unit NOUN eajbcs-826 64 16 transportation transportation NOUN eajbcs-826 64 17 cost cost NOUN eajbcs-826 64 18 of of ADP eajbcs-826 64 19 transportation transportation NOUN eajbcs-826 64 20 operation operation NOUN eajbcs-826 64 21 and and CCONJ eajbcs-826 64 22 thus thus ADV eajbcs-826 64 23 the the DET eajbcs-826 64 24 transportation transportation NOUN eajbcs-826 64 25 cost cost NOUN eajbcs-826 64 26 uncertain uncertain ADJ eajbcs-826 64 27 , , PUNCT eajbcs-826 64 28 there there PRON eajbcs-826 64 29 may may AUX eajbcs-826 64 30 be be AUX eajbcs-826 64 31 some some DET eajbcs-826 64 32 sort sort NOUN eajbcs-826 64 33 of of ADP eajbcs-826 64 34 vagueness vagueness NOUN eajbcs-826 64 35 with with ADP eajbcs-826 64 36 respect respect NOUN eajbcs-826 64 37 to to ADP eajbcs-826 64 38 the the DET eajbcs-826 64 39 demand demand NOUN eajbcs-826 64 40 of of ADP eajbcs-826 64 41 a a DET eajbcs-826 64 42 newly newly ADV eajbcs-826 64 43 introduced introduce VERB eajbcs-826 64 44 product product NOUN eajbcs-826 64 45 to to ADP eajbcs-826 64 46 the the DET eajbcs-826 64 47 market market NOUN eajbcs-826 64 48 and and CCONJ eajbcs-826 64 49 there there PRON eajbcs-826 64 50 exists exist VERB eajbcs-826 64 51 uncertainty uncertainty NOUN eajbcs-826 64 52 about about ADP eajbcs-826 64 53 the the DET eajbcs-826 64 54 product product NOUN eajbcs-826 64 55 availability availability NOUN eajbcs-826 64 56 at at ADP eajbcs-826 64 57 a a DET eajbcs-826 64 58 source source NOUN eajbcs-826 64 59 or or CCONJ eajbcs-826 64 60 supplier supplier NOUN eajbcs-826 64 61 because because SCONJ eajbcs-826 64 62 of of ADP eajbcs-826 64 63 time time NOUN eajbcs-826 64 64 factor factor NOUN eajbcs-826 64 65 . . PUNCT eajbcs-826 65 1 many many ADJ eajbcs-826 65 2 authors author NOUN eajbcs-826 65 3 introduced introduce VERB eajbcs-826 65 4 tools tool NOUN eajbcs-826 65 5 to to PART eajbcs-826 65 6 solve solve VERB eajbcs-826 65 7 tp tp NOUN eajbcs-826 65 8 . . PUNCT eajbcs-826 66 1 since since SCONJ eajbcs-826 66 2 transportation transportation NOUN eajbcs-826 66 3 problem problem NOUN eajbcs-826 66 4 ( ( PUNCT eajbcs-826 66 5 tp tp NOUN eajbcs-826 66 6 ) ) PUNCT eajbcs-826 66 7 is be AUX eajbcs-826 66 8 special special ADJ eajbcs-826 66 9 case case NOUN eajbcs-826 66 10 of of ADP eajbcs-826 66 11 linear linear PROPN eajbcs-826 66 12 programming programming NOUN eajbcs-826 66 13 ( ( PUNCT eajbcs-826 66 14 lp lp NOUN eajbcs-826 66 15 ) ) PUNCT eajbcs-826 66 16 problem problem NOUN eajbcs-826 66 17 , , PUNCT eajbcs-826 66 18 one one NUM eajbcs-826 66 19 straightforward straightforward ADJ eajbcs-826 66 20 approach approach NOUN eajbcs-826 66 21 is be AUX eajbcs-826 66 22 to to PART eajbcs-826 66 23 apply apply VERB eajbcs-826 66 24 the the DET eajbcs-826 66 25 existing exist VERB eajbcs-826 66 26 lp lp NOUN eajbcs-826 66 27 techniques technique NOUN eajbcs-826 66 28 to to ADP eajbcs-826 66 29 the the DET eajbcs-826 66 30 fuzzy fuzzy ADJ eajbcs-826 66 31 tp tp NOUN eajbcs-826 66 32 . . PUNCT eajbcs-826 67 1 these these DET eajbcs-826 67 2 techniques technique NOUN eajbcs-826 67 3 are be AUX eajbcs-826 67 4 discussed discuss VERB eajbcs-826 67 5 by by ADP eajbcs-826 67 6 many many ADJ eajbcs-826 67 7 researchers researcher NOUN eajbcs-826 67 8 namely namely ADV eajbcs-826 67 9 ; ; PUNCT eajbcs-826 67 10 buckley buckley NOUN eajbcs-826 67 11 ( ( PUNCT eajbcs-826 67 12 1988 1988 NUM eajbcs-826 67 13 ) ) PUNCT eajbcs-826 67 14 , , PUNCT eajbcs-826 67 15 buckley buckley NOUN eajbcs-826 67 16 ( ( PUNCT eajbcs-826 67 17 1990 1990 NUM eajbcs-826 67 18 ) ) PUNCT eajbcs-826 67 19 , , PUNCT eajbcs-826 67 20 mitlif mitlif X eajbcs-826 67 21 ( ( PUNCT eajbcs-826 67 22 2016 2016 NUM eajbcs-826 67 23 ) ) PUNCT eajbcs-826 67 24 , , PUNCT eajbcs-826 67 25 ebrahimnejad ebrahimnejad PROPN eajbcs-826 67 26 ( ( PUNCT eajbcs-826 67 27 2013 2013 NUM eajbcs-826 67 28 ) ) PUNCT eajbcs-826 67 29 , , PUNCT eajbcs-826 67 30 ebrahimnejad ebrahimnejad PROPN eajbcs-826 67 31 ( ( PUNCT eajbcs-826 67 32 2015 2015 NUM eajbcs-826 67 33 ) ) PUNCT eajbcs-826 67 34 , , PUNCT eajbcs-826 67 35 etc etc X eajbcs-826 67 36 . . X eajbcs-826 68 1 however however ADV eajbcs-826 68 2 , , PUNCT eajbcs-826 68 3 some some DET eajbcs-826 68 4 these these DET eajbcs-826 68 5 techniques technique NOUN eajbcs-826 68 6 only only ADV eajbcs-826 68 7 give give VERB eajbcs-826 68 8 crisp crisp ADJ eajbcs-826 68 9 solutions solution NOUN eajbcs-826 68 10 , , PUNCT eajbcs-826 68 11 which which PRON eajbcs-826 68 12 represent represent VERB eajbcs-826 68 13 a a DET eajbcs-826 68 14 compromise compromise NOUN eajbcs-826 68 15 in in ADP eajbcs-826 68 16 terms term NOUN eajbcs-826 68 17 of of ADP eajbcs-826 68 18 fuzzy fuzzy ADJ eajbcs-826 68 19 data datum NOUN eajbcs-826 68 20 . . PUNCT eajbcs-826 69 1 the the DET eajbcs-826 69 2 traditional traditional ADJ eajbcs-826 69 3 view view NOUN eajbcs-826 69 4 on on ADP eajbcs-826 69 5 tp tp NOUN eajbcs-826 69 6 is be AUX eajbcs-826 69 7 mainly mainly ADV eajbcs-826 69 8 concerned concern VERB eajbcs-826 69 9 with with ADP eajbcs-826 69 10 distributing distribute VERB eajbcs-826 69 11 any any DET eajbcs-826 69 12 homogeneous homogeneous ADJ eajbcs-826 69 13 product product NOUN eajbcs-826 69 14 from from ADP eajbcs-826 69 15 a a DET eajbcs-826 69 16 group group NOUN eajbcs-826 69 17 of of ADP eajbcs-826 69 18 supply supply NOUN eajbcs-826 69 19 centers center NOUN eajbcs-826 69 20 , , PUNCT eajbcs-826 69 21 called call VERB eajbcs-826 69 22 sources source NOUN eajbcs-826 69 23 , , PUNCT eajbcs-826 69 24 to to ADP eajbcs-826 69 25 any any DET eajbcs-826 69 26 group group NOUN eajbcs-826 69 27 of of ADP eajbcs-826 69 28 receiving receive VERB eajbcs-826 69 29 centers center NOUN eajbcs-826 69 30 , , PUNCT eajbcs-826 69 31 called call VERB eajbcs-826 69 32 destinations destination NOUN eajbcs-826 69 33 , , PUNCT eajbcs-826 69 34 in in ADP eajbcs-826 69 35 such such DET eajbcs-826 69 36 a a DET eajbcs-826 69 37 way way NOUN eajbcs-826 69 38 as as SCONJ eajbcs-826 69 39 to to PART eajbcs-826 69 40 minimize minimize VERB eajbcs-826 69 41 the the DET eajbcs-826 69 42 single single ADJ eajbcs-826 69 43 objective objective ADJ eajbcs-826 69 44 total total ADJ eajbcs-826 69 45 transportation transportation NOUN eajbcs-826 69 46 cost cost NOUN eajbcs-826 69 47 , , PUNCT eajbcs-826 69 48 where where SCONJ eajbcs-826 69 49 the the DET eajbcs-826 69 50 transportation transportation NOUN eajbcs-826 69 51 cost cost NOUN eajbcs-826 69 52 per per ADP eajbcs-826 69 53 unit unit NOUN eajbcs-826 69 54 product product NOUN eajbcs-826 69 55 is be AUX eajbcs-826 69 56 constant constant ADJ eajbcs-826 69 57 regardless regardless ADV eajbcs-826 69 58 of of ADP eajbcs-826 69 59 the the DET eajbcs-826 69 60 amount amount NOUN eajbcs-826 69 61 transported transport VERB eajbcs-826 69 62 , , PUNCT eajbcs-826 69 63 but but CCONJ eajbcs-826 69 64 most most ADJ eajbcs-826 69 65 of of ADP eajbcs-826 69 66 the the DET eajbcs-826 69 67 time time NOUN eajbcs-826 69 68 in in ADP eajbcs-826 69 69 real real ADJ eajbcs-826 69 70 - - PUNCT eajbcs-826 69 71 life life NOUN eajbcs-826 69 72 situation situation NOUN eajbcs-826 69 73 , , PUNCT eajbcs-826 69 74 the the DET eajbcs-826 69 75 tps tps NOUN eajbcs-826 69 76 are be AUX eajbcs-826 69 77 not not PART eajbcs-826 69 78 designed design VERB eajbcs-826 69 79 as as ADP eajbcs-826 69 80 single single ADJ eajbcs-826 69 81 objective objective ADJ eajbcs-826 69 82 function function NOUN eajbcs-826 69 83 . . PUNCT eajbcs-826 70 1 the the DET eajbcs-826 70 2 tp tp NOUN eajbcs-826 70 3 that that PRON eajbcs-826 70 4 deals deal NOUN eajbcs-826 70 5 with with ADP eajbcs-826 70 6 multiple multiple ADJ eajbcs-826 70 7 - - PUNCT eajbcs-826 70 8 objective objective ADJ eajbcs-826 70 9 functions function NOUN eajbcs-826 70 10 is be AUX eajbcs-826 70 11 called call VERB eajbcs-826 70 12 a a DET eajbcs-826 70 13 multi multi ADJ eajbcs-826 70 14 - - ADJ eajbcs-826 70 15 objective objective ADJ eajbcs-826 70 16 transportation transportation NOUN eajbcs-826 70 17 problem problem NOUN eajbcs-826 70 18 ( ( PUNCT eajbcs-826 70 19 motp motp NOUN eajbcs-826 70 20 ) ) PUNCT eajbcs-826 70 21 . . PUNCT eajbcs-826 71 1 the the DET eajbcs-826 71 2 motp motp NOUN eajbcs-826 71 3 is be AUX eajbcs-826 71 4 a a DET eajbcs-826 71 5 special special ADJ eajbcs-826 71 6 type type NOUN eajbcs-826 71 7 of of ADP eajbcs-826 71 8 multi multi ADJ eajbcs-826 71 9 - - ADJ eajbcs-826 71 10 objective objective ADJ eajbcs-826 71 11 linear linear ADJ eajbcs-826 71 12 programming programming NOUN eajbcs-826 71 13 problem problem NOUN eajbcs-826 71 14 in in ADP eajbcs-826 71 15 which which PRON eajbcs-826 71 16 objective objective ADJ eajbcs-826 71 17 functions function NOUN eajbcs-826 71 18 conflict conflict NOUN eajbcs-826 71 19 with with ADP eajbcs-826 71 20 each each DET eajbcs-826 71 21 other other ADJ eajbcs-826 71 22 . . PUNCT eajbcs-826 72 1 furthermore furthermore ADV eajbcs-826 72 2 , , PUNCT eajbcs-826 72 3 objective objective ADJ eajbcs-826 72 4 functions function NOUN eajbcs-826 72 5 are be AUX eajbcs-826 72 6 frequently frequently ADV eajbcs-826 72 7 in in ADP eajbcs-826 72 8 conflict conflict NOUN eajbcs-826 72 9 , , PUNCT eajbcs-826 72 10 thus thus ADV eajbcs-826 72 11 there there PRON eajbcs-826 72 12 is be VERB eajbcs-826 72 13 no no DET eajbcs-826 72 14 one one NOUN eajbcs-826 72 15 best good ADJ eajbcs-826 72 16 ( ( PUNCT eajbcs-826 72 17 global global ADJ eajbcs-826 72 18 optimum optimum ADJ eajbcs-826 72 19 ) ) PUNCT eajbcs-826 72 20 solution solution NOUN eajbcs-826 72 21 , , PUNCT eajbcs-826 72 22 but but CCONJ eajbcs-826 72 23 rather rather ADV eajbcs-826 72 24 a a DET eajbcs-826 72 25 group group NOUN eajbcs-826 72 26 of of ADP eajbcs-826 72 27 equally equally ADV eajbcs-826 72 28 good good ADJ eajbcs-826 72 29 ( ( PUNCT eajbcs-826 72 30 non non ADJ eajbcs-826 72 31 - - ADJ eajbcs-826 72 32 dominated dominated ADJ eajbcs-826 72 33 ) ) PUNCT eajbcs-826 72 34 alternatives alternative NOUN eajbcs-826 72 35 known know VERB eajbcs-826 72 36 as as ADP eajbcs-826 72 37 pareto pareto ADJ eajbcs-826 72 38 optimal optimal ADJ eajbcs-826 72 39 ( ( PUNCT eajbcs-826 72 40 po po NOUN eajbcs-826 72 41 ) ) PUNCT eajbcs-826 72 42 solutions solution NOUN eajbcs-826 72 43 . . PUNCT eajbcs-826 73 1 in in ADP eajbcs-826 73 2 the the DET eajbcs-826 73 3 framework framework NOUN eajbcs-826 73 4 of of ADP eajbcs-826 73 5 multi multi ADJ eajbcs-826 73 6 - - ADJ eajbcs-826 73 7 objective objective ADJ eajbcs-826 73 8 programming programming NOUN eajbcs-826 73 9 problems problem NOUN eajbcs-826 73 10 , , PUNCT eajbcs-826 73 11 numerous numerous ADJ eajbcs-826 73 12 scholars scholar NOUN eajbcs-826 73 13 from from ADP eajbcs-826 73 14 a a DET eajbcs-826 73 15 wide wide ADJ eajbcs-826 73 16 variety variety NOUN eajbcs-826 73 17 of of ADP eajbcs-826 73 18 academic academic ADJ eajbcs-826 73 19 disciplines discipline NOUN eajbcs-826 73 20 discussed discuss VERB eajbcs-826 73 21 their their PRON eajbcs-826 73 22 work work NOUN eajbcs-826 73 23 . . PUNCT eajbcs-826 74 1 recently recently ADV eajbcs-826 74 2 , , PUNCT eajbcs-826 74 3 multi multi ADJ eajbcs-826 74 4 - - ADJ eajbcs-826 74 5 objective objective ADJ eajbcs-826 74 6 problems problem NOUN eajbcs-826 74 7 have have AUX eajbcs-826 74 8 been be AUX eajbcs-826 74 9 proposed propose VERB eajbcs-826 74 10 by by ADP eajbcs-826 74 11 researchers researcher NOUN eajbcs-826 74 12 such such ADJ eajbcs-826 74 13 as as ADP eajbcs-826 74 14 sayyah sayyah NOUN eajbcs-826 74 15 et et PROPN eajbcs-826 74 16 al al PROPN eajbcs-826 74 17 . . PROPN eajbcs-826 74 18 ( ( PUNCT eajbcs-826 74 19 2019 2019 NUM eajbcs-826 74 20 ) ) PUNCT eajbcs-826 74 21 ; ; PUNCT eajbcs-826 74 22 sahih sahih PROPN eajbcs-826 74 23 et et PROPN eajbcs-826 74 24 al al PROPN eajbcs-826 74 25 . . PROPN eajbcs-826 75 1 ( ( PUNCT eajbcs-826 75 2 2021 2021 NUM eajbcs-826 75 3 ) ) PUNCT eajbcs-826 76 1 ; ; PUNCT eajbcs-826 76 2 sosa sosa PROPN eajbcs-826 76 3 and and CCONJ eajbcs-826 76 4 dhodiya dhodiya PROPN eajbcs-826 76 5 ( ( PUNCT eajbcs-826 76 6 2021 2021 NUM eajbcs-826 76 7 ) ) PUNCT eajbcs-826 76 8 ; ; PUNCT eajbcs-826 76 9 geshniani geshniani PROPN eajbcs-826 76 10 et et PROPN eajbcs-826 76 11 al al PROPN eajbcs-826 76 12 . . PROPN eajbcs-826 76 13 ( ( PUNCT eajbcs-826 76 14 2020 2020 NUM eajbcs-826 76 15 ) ) PUNCT eajbcs-826 76 16 , , PUNCT eajbcs-826 76 17 and and CCONJ eajbcs-826 76 18 others other NOUN eajbcs-826 76 19 . . PUNCT eajbcs-826 77 1 researchers researcher NOUN eajbcs-826 77 2 namely namely ADV eajbcs-826 77 3 ; ; PUNCT eajbcs-826 77 4 acharya acharya PROPN eajbcs-826 77 5 et et PROPN eajbcs-826 77 6 al al PROPN eajbcs-826 77 7 . . PROPN eajbcs-826 78 1 ( ( PUNCT eajbcs-826 78 2 2014 2014 NUM eajbcs-826 78 3 ) ) PUNCT eajbcs-826 78 4 and and CCONJ eajbcs-826 78 5 dutta dutta PROPN eajbcs-826 78 6 et et PROPN eajbcs-826 78 7 al al PROPN eajbcs-826 78 8 . . PUNCT eajbcs-826 79 1 ( ( PUNCT eajbcs-826 79 2 2016 2016 NUM eajbcs-826 79 3 ) ) PUNCT eajbcs-826 79 4 introduced introduce VERB eajbcs-826 79 5 mot mot NOUN eajbcs-826 79 6 problem problem NOUN eajbcs-826 79 7 in in ADP eajbcs-826 79 8 stochastic stochastic ADJ eajbcs-826 79 9 environment environment NOUN eajbcs-826 79 10 . . PUNCT eajbcs-826 80 1 chakraborty chakraborty PROPN eajbcs-826 80 2 and and CCONJ eajbcs-826 80 3 chakraborty chakraborty PROPN eajbcs-826 80 4 ( ( PUNCT eajbcs-826 80 5 2010 2010 NUM eajbcs-826 80 6 ) ) PUNCT eajbcs-826 80 7 discussed discuss VERB eajbcs-826 80 8 cost cost NOUN eajbcs-826 80 9 - - PUNCT eajbcs-826 80 10 time time NOUN eajbcs-826 80 11 minimization minimization NOUN eajbcs-826 80 12 tp tp NOUN eajbcs-826 80 13 , , PUNCT eajbcs-826 80 14 where where SCONJ eajbcs-826 80 15 the the DET eajbcs-826 80 16 demand demand NOUN eajbcs-826 80 17 , , PUNCT eajbcs-826 80 18 supply supply NOUN eajbcs-826 80 19 and and CCONJ eajbcs-826 80 20 transportation transportation NOUN eajbcs-826 80 21 cost cost NOUN eajbcs-826 80 22 per per ADP eajbcs-826 80 23 unit unit NOUN eajbcs-826 80 24 of of ADP eajbcs-826 80 25 the the DET eajbcs-826 80 26 quantities quantity NOUN eajbcs-826 80 27 are be AUX eajbcs-826 80 28 fuzzy fuzzy ADJ eajbcs-826 80 29 . . PUNCT eajbcs-826 81 1 nomani nomani PROPN eajbcs-826 81 2 et et PROPN eajbcs-826 81 3 al al PROPN eajbcs-826 81 4 . . PROPN eajbcs-826 82 1 ( ( PUNCT eajbcs-826 82 2 2017 2017 NUM eajbcs-826 82 3 ) ) PUNCT eajbcs-826 82 4 introduced introduce VERB eajbcs-826 82 5 a a DET eajbcs-826 82 6 weighted weighted ADJ eajbcs-826 82 7 goal goal NOUN eajbcs-826 82 8 programming programming NOUN eajbcs-826 82 9 to to PART eajbcs-826 82 10 solve solve VERB eajbcs-826 82 11 multiobjective multiobjective ADJ eajbcs-826 82 12 transportation transportation NOUN eajbcs-826 82 13 problems problem NOUN eajbcs-826 82 14 with with ADP eajbcs-826 82 15 crisp crisp ADJ eajbcs-826 82 16 parameters parameter NOUN eajbcs-826 82 17 . . PUNCT eajbcs-826 83 1 they they PRON eajbcs-826 83 2 used use VERB eajbcs-826 83 3 weighted weight VERB eajbcs-826 83 4 approach approach NOUN eajbcs-826 83 5 based base VERB eajbcs-826 83 6 on on ADP eajbcs-826 83 7 goal goal NOUN eajbcs-826 83 8 programming programming NOUN eajbcs-826 83 9 to to PART eajbcs-826 83 10 obtain obtain VERB eajbcs-826 83 11 compromise compromise NOUN eajbcs-826 83 12 solutions solution NOUN eajbcs-826 83 13 . . PUNCT eajbcs-826 84 1 roy roy PROPN eajbcs-826 84 2 et et PROPN eajbcs-826 84 3 al al PROPN eajbcs-826 84 4 . . PROPN eajbcs-826 85 1 ( ( PUNCT eajbcs-826 85 2 2018 2018 NUM eajbcs-826 85 3 ) ) PUNCT eajbcs-826 85 4 proeast proeast NOUN eajbcs-826 85 5 afr afr PROPN eajbcs-826 85 6 . . PUNCT eajbcs-826 86 1 j. j. PROPN eajbcs-826 86 2 biophys biophys PROPN eajbcs-826 86 3 . . PUNCT eajbcs-826 87 1 comput comput NOUN eajbcs-826 87 2 . . PUNCT eajbcs-826 88 1 sci sci PROPN eajbcs-826 88 2 . . PUNCT eajbcs-826 88 3 ( ( PUNCT eajbcs-826 88 4 2023 2023 NUM eajbcs-826 88 5 ) ) PUNCT eajbcs-826 88 6 , , PUNCT eajbcs-826 88 7 vol vol NOUN eajbcs-826 88 8 . . PROPN eajbcs-826 88 9 4 4 NUM eajbcs-826 88 10 , , PUNCT eajbcs-826 88 11 issue issue NOUN eajbcs-826 88 12 . . PUNCT eajbcs-826 89 1 2 2 NUM eajbcs-826 89 2 , , PUNCT eajbcs-826 89 3 43 43 NUM eajbcs-826 89 4 - - SYM eajbcs-826 89 5 53 53 NUM eajbcs-826 89 6 44 44 NUM eajbcs-826 89 7 posed pose VERB eajbcs-826 89 8 multi multi ADJ eajbcs-826 89 9 - - ADJ eajbcs-826 89 10 objective objective ADJ eajbcs-826 89 11 transportation transportation NOUN eajbcs-826 89 12 problem problem NOUN eajbcs-826 89 13 ( ( PUNCT eajbcs-826 89 14 motp motp X eajbcs-826 89 15 ) ) PUNCT eajbcs-826 89 16 under under ADP eajbcs-826 89 17 intuitionistic intuitionistic ADJ eajbcs-826 89 18 fuzzy fuzzy ADJ eajbcs-826 89 19 environment environment NOUN eajbcs-826 89 20 . . PUNCT eajbcs-826 90 1 they they PRON eajbcs-826 90 2 have have AUX eajbcs-826 90 3 assumed assume VERB eajbcs-826 90 4 transportation transportation NOUN eajbcs-826 90 5 cost cost NOUN eajbcs-826 90 6 , , PUNCT eajbcs-826 90 7 the the DET eajbcs-826 90 8 supply supply NOUN eajbcs-826 90 9 and and CCONJ eajbcs-826 90 10 the the DET eajbcs-826 90 11 demand demand NOUN eajbcs-826 90 12 parameters parameter NOUN eajbcs-826 90 13 as as ADP eajbcs-826 90 14 a a DET eajbcs-826 90 15 intuitionistic intuitionistic ADJ eajbcs-826 90 16 fuzzy fuzzy ADJ eajbcs-826 90 17 numbers number NOUN eajbcs-826 90 18 . . PUNCT eajbcs-826 91 1 jalil jalil PROPN eajbcs-826 91 2 et et PROPN eajbcs-826 91 3 al al PROPN eajbcs-826 91 4 . . PROPN eajbcs-826 92 1 ( ( PUNCT eajbcs-826 92 2 2017 2017 NUM eajbcs-826 92 3 ) ) PUNCT eajbcs-826 92 4 proposed propose VERB eajbcs-826 92 5 a a DET eajbcs-826 92 6 solution solution NOUN eajbcs-826 92 7 approach approach NOUN eajbcs-826 92 8 for for ADP eajbcs-826 92 9 obtaining obtain VERB eajbcs-826 92 10 compromise compromise NOUN eajbcs-826 92 11 optimal optimal ADJ eajbcs-826 92 12 solution solution NOUN eajbcs-826 92 13 of of ADP eajbcs-826 92 14 fully fully ADV eajbcs-826 92 15 fuzzy(all fuzzy(all VERB eajbcs-826 92 16 the the DET eajbcs-826 92 17 parameters parameter NOUN eajbcs-826 92 18 and and CCONJ eajbcs-826 92 19 decision decision NOUN eajbcs-826 92 20 variables variable NOUN eajbcs-826 92 21 are be AUX eajbcs-826 92 22 fuzzy fuzzy ADJ eajbcs-826 92 23 ) ) PUNCT eajbcs-826 92 24 multi multi ADJ eajbcs-826 92 25 - - ADJ eajbcs-826 92 26 objective objective ADJ eajbcs-826 92 27 solid solid ADJ eajbcs-826 92 28 transportation transportation NOUN eajbcs-826 92 29 problems problem NOUN eajbcs-826 92 30 . . PUNCT eajbcs-826 93 1 in in ADP eajbcs-826 93 2 their their PRON eajbcs-826 93 3 proposed propose VERB eajbcs-826 93 4 problem problem NOUN eajbcs-826 93 5 they they PRON eajbcs-826 93 6 used use VERB eajbcs-826 93 7 ranking rank VERB eajbcs-826 93 8 function function NOUN eajbcs-826 93 9 for for ADP eajbcs-826 93 10 the the DET eajbcs-826 93 11 defuzzification defuzzification NOUN eajbcs-826 93 12 of of ADP eajbcs-826 93 13 fuzzy fuzzy ADJ eajbcs-826 93 14 objective objective ADJ eajbcs-826 93 15 function function NOUN eajbcs-826 93 16 and and CCONJ eajbcs-826 93 17 the the DET eajbcs-826 93 18 property property NOUN eajbcs-826 93 19 of of ADP eajbcs-826 93 20 equality equality NOUN eajbcs-826 93 21 between between ADP eajbcs-826 93 22 fuzzy fuzzy ADJ eajbcs-826 93 23 numbers number NOUN eajbcs-826 93 24 for for ADP eajbcs-826 93 25 the the DET eajbcs-826 93 26 defuzzification defuzzification NOUN eajbcs-826 93 27 of of ADP eajbcs-826 93 28 fuzzy fuzzy ADJ eajbcs-826 93 29 constraints constraint NOUN eajbcs-826 93 30 . . PUNCT eajbcs-826 94 1 el el PROPN eajbcs-826 94 2 sayed say VERB eajbcs-826 94 3 and and CCONJ eajbcs-826 94 4 abo abo NOUN eajbcs-826 94 5 - - PUNCT eajbcs-826 94 6 sinna sinna NOUN eajbcs-826 94 7 ( ( PUNCT eajbcs-826 94 8 2021 2021 NUM eajbcs-826 94 9 ) ) PUNCT eajbcs-826 94 10 ; ; PUNCT eajbcs-826 94 11 moges moge NOUN eajbcs-826 94 12 et et PROPN eajbcs-826 94 13 al al PROPN eajbcs-826 94 14 . . PROPN eajbcs-826 95 1 ( ( PUNCT eajbcs-826 95 2 2023 2023 NUM eajbcs-826 95 3 ) ) PUNCT eajbcs-826 95 4 ; ; PUNCT eajbcs-826 96 1 malik malik PROPN eajbcs-826 96 2 and and CCONJ eajbcs-826 96 3 gupta gupta PROPN eajbcs-826 96 4 ( ( PUNCT eajbcs-826 96 5 2022 2022 NUM eajbcs-826 96 6 ) ) PUNCT eajbcs-826 96 7 ; ; PUNCT eajbcs-826 96 8 niksirat niksirat NOUN eajbcs-826 96 9 ( ( PUNCT eajbcs-826 96 10 2022 2022 NUM eajbcs-826 96 11 ) ) PUNCT eajbcs-826 96 12 , , PUNCT eajbcs-826 96 13 etc etc X eajbcs-826 96 14 . . X eajbcs-826 96 15 are be AUX eajbcs-826 96 16 the the DET eajbcs-826 96 17 works work NOUN eajbcs-826 96 18 done do VERB eajbcs-826 96 19 under under ADP eajbcs-826 96 20 fuzzy fuzzy ADJ eajbcs-826 96 21 environment environment NOUN eajbcs-826 96 22 . . PUNCT eajbcs-826 97 1 as as SCONJ eajbcs-826 97 2 is be AUX eajbcs-826 97 3 mentioned mention VERB eajbcs-826 97 4 above above ADV eajbcs-826 97 5 ( ( PUNCT eajbcs-826 97 6 paragraph paragraph NOUN eajbcs-826 97 7 2 2 NUM eajbcs-826 97 8 ) ) PUNCT eajbcs-826 97 9 , , PUNCT eajbcs-826 97 10 in in ADP eajbcs-826 97 11 most most ADJ eajbcs-826 97 12 of of ADP eajbcs-826 97 13 the the DET eajbcs-826 97 14 literature literature NOUN eajbcs-826 97 15 , , PUNCT eajbcs-826 97 16 authors author NOUN eajbcs-826 97 17 regarded regard VERB eajbcs-826 97 18 the the DET eajbcs-826 97 19 decision decision NOUN eajbcs-826 97 20 variables variable NOUN eajbcs-826 97 21 as as ADP eajbcs-826 97 22 being be AUX eajbcs-826 97 23 crisp crisp ADJ eajbcs-826 97 24 while while SCONJ eajbcs-826 97 25 the the DET eajbcs-826 97 26 decision decision NOUN eajbcs-826 97 27 parameters parameter NOUN eajbcs-826 97 28 are be AUX eajbcs-826 97 29 assumed assume VERB eajbcs-826 97 30 to to PART eajbcs-826 97 31 be be AUX eajbcs-826 97 32 fuzzy fuzzy ADJ eajbcs-826 97 33 . . PUNCT eajbcs-826 98 1 this this DET eajbcs-826 98 2 assumptions assumption NOUN eajbcs-826 98 3 leads lead VERB eajbcs-826 98 4 to to ADP eajbcs-826 98 5 crisp crisp ADJ eajbcs-826 98 6 decisions decision NOUN eajbcs-826 98 7 which which PRON eajbcs-826 98 8 is be AUX eajbcs-826 98 9 illogical illogical ADJ eajbcs-826 98 10 . . PUNCT eajbcs-826 99 1 a a DET eajbcs-826 99 2 fuzzy fuzzy ADJ eajbcs-826 99 3 decision decision NOUN eajbcs-826 99 4 multiobjective multiobjective ADJ eajbcs-826 99 5 fully fully ADV eajbcs-826 99 6 fuzzy fuzzy ADJ eajbcs-826 99 7 transportation transportation NOUN eajbcs-826 99 8 problem problem NOUN eajbcs-826 99 9 proposed propose VERB eajbcs-826 99 10 in in ADP eajbcs-826 99 11 this this DET eajbcs-826 99 12 study study NOUN eajbcs-826 99 13 . . PUNCT eajbcs-826 100 1 ranking rank VERB eajbcs-826 100 2 function function NOUN eajbcs-826 100 3 and and CCONJ eajbcs-826 100 4 equality equality NOUN eajbcs-826 100 5 between between ADP eajbcs-826 100 6 two two NUM eajbcs-826 100 7 triangular triangular ADJ eajbcs-826 100 8 fuzzy fuzzy ADJ eajbcs-826 100 9 numbers number NOUN eajbcs-826 100 10 are be AUX eajbcs-826 100 11 employed employ VERB eajbcs-826 100 12 for for ADP eajbcs-826 100 13 defuzzification defuzzification NOUN eajbcs-826 100 14 purpose purpose NOUN eajbcs-826 100 15 and and CCONJ eajbcs-826 100 16 finally finally ADV eajbcs-826 100 17 the the DET eajbcs-826 100 18 equivalent equivalent ADJ eajbcs-826 100 19 crisp crisp ADJ eajbcs-826 100 20 multi multi ADJ eajbcs-826 100 21 - - ADJ eajbcs-826 100 22 objective objective ADJ eajbcs-826 100 23 model model NOUN eajbcs-826 100 24 is be AUX eajbcs-826 100 25 solved solve VERB eajbcs-826 100 26 fuzzy fuzzy ADJ eajbcs-826 100 27 programming programming NOUN eajbcs-826 100 28 method method NOUN eajbcs-826 100 29 . . PUNCT eajbcs-826 101 1 the the DET eajbcs-826 101 2 paper paper NOUN eajbcs-826 101 3 is be AUX eajbcs-826 101 4 organized organize VERB eajbcs-826 101 5 as as SCONJ eajbcs-826 101 6 follows follow VERB eajbcs-826 101 7 : : PUNCT eajbcs-826 101 8 following follow VERB eajbcs-826 101 9 the the DET eajbcs-826 101 10 introduction introduction NOUN eajbcs-826 101 11 , , PUNCT eajbcs-826 101 12 basic basic ADJ eajbcs-826 101 13 preliminaries preliminary NOUN eajbcs-826 101 14 are be AUX eajbcs-826 101 15 presented present VERB eajbcs-826 101 16 in in ADP eajbcs-826 101 17 sect sect NOUN eajbcs-826 101 18 . . PUNCT eajbcs-826 102 1 2 2 X eajbcs-826 102 2 . . X eajbcs-826 102 3 the the DET eajbcs-826 102 4 mathematical mathematical ADJ eajbcs-826 102 5 model model NOUN eajbcs-826 102 6 of of ADP eajbcs-826 102 7 multi multi ADJ eajbcs-826 102 8 - - ADJ eajbcs-826 102 9 objective objective ADJ eajbcs-826 102 10 fuzzy fuzzy ADJ eajbcs-826 102 11 tp tp NOUN eajbcs-826 102 12 is be AUX eajbcs-826 102 13 presented present VERB eajbcs-826 102 14 in in ADP eajbcs-826 102 15 sect sect NOUN eajbcs-826 102 16 . . PUNCT eajbcs-826 103 1 3 3 X eajbcs-826 103 2 . . X eajbcs-826 103 3 solution solution NOUN eajbcs-826 103 4 procedures procedure NOUN eajbcs-826 103 5 are be AUX eajbcs-826 103 6 provided provide VERB eajbcs-826 103 7 in in ADP eajbcs-826 103 8 4 4 NUM eajbcs-826 103 9 . . PUNCT eajbcs-826 104 1 numerical numerical ADJ eajbcs-826 104 2 examples example NOUN eajbcs-826 104 3 are be AUX eajbcs-826 104 4 provided provide VERB eajbcs-826 104 5 in in ADP eajbcs-826 104 6 support support NOUN eajbcs-826 104 7 of of ADP eajbcs-826 104 8 the the DET eajbcs-826 104 9 proposed propose VERB eajbcs-826 104 10 method method NOUN eajbcs-826 104 11 in in ADP eajbcs-826 104 12 sect sect NOUN eajbcs-826 104 13 . . PUNCT eajbcs-826 105 1 5 5 X eajbcs-826 105 2 . . X eajbcs-826 105 3 finally finally ADV eajbcs-826 105 4 , , PUNCT eajbcs-826 105 5 conclusion conclusion NOUN eajbcs-826 105 6 is be AUX eajbcs-826 105 7 provided provide VERB eajbcs-826 105 8 in in ADP eajbcs-826 105 9 sect sect NOUN eajbcs-826 105 10 . . PUNCT eajbcs-826 106 1 6 6 NUM eajbcs-826 106 2 followed follow VERB eajbcs-826 106 3 by by ADP eajbcs-826 106 4 supportive supportive ADJ eajbcs-826 106 5 references reference NOUN eajbcs-826 106 6 . . PUNCT eajbcs-826 107 1 definition definition NOUN eajbcs-826 107 2 : : PUNCT eajbcs-826 108 1 [ [ X eajbcs-826 108 2 roy roy PROPN eajbcs-826 108 3 et et PROPN eajbcs-826 108 4 al al PROPN eajbcs-826 108 5 . . PROPN eajbcs-826 108 6 ( ( PUNCT eajbcs-826 108 7 2018 2018 NUM eajbcs-826 108 8 ) ) PUNCT eajbcs-826 108 9 ] ] X eajbcs-826 108 10 : : PUNCT eajbcs-826 108 11 a a DET eajbcs-826 108 12 tri tri ADJ eajbcs-826 108 13 - - ADJ eajbcs-826 108 14 angular angular ADJ eajbcs-826 108 15 fuzzy fuzzy ADJ eajbcs-826 108 16 number number NOUN eajbcs-826 108 17 ã ã PROPN eajbcs-826 108 18 is be AUX eajbcs-826 108 19 denoted denote VERB eajbcs-826 108 20 by by ADP eajbcs-826 108 21 ( ( PUNCT eajbcs-826 108 22 ap ap PROPN eajbcs-826 108 23 , , PUNCT eajbcs-826 108 24 a a PRON eajbcs-826 108 25 , , PUNCT eajbcs-826 108 26 ao ao PROPN eajbcs-826 108 27 ) ) PUNCT eajbcs-826 108 28 , , PUNCT eajbcs-826 108 29 where where SCONJ eajbcs-826 108 30 ap ap PROPN eajbcs-826 108 31 , , PUNCT eajbcs-826 108 32 a a PRON eajbcs-826 108 33 , , PUNCT eajbcs-826 108 34 ao ao PROPN eajbcs-826 108 35 are be AUX eajbcs-826 108 36 real real ADJ eajbcs-826 108 37 numbers number NOUN eajbcs-826 108 38 . . PUNCT eajbcs-826 109 1 the the DET eajbcs-826 109 2 membership membership NOUN eajbcs-826 109 3 function function NOUN eajbcs-826 109 4 ( ( PUNCT eajbcs-826 109 5 µã(x µã(x NOUN eajbcs-826 109 6 ) ) PUNCT eajbcs-826 109 7 ) ) PUNCT eajbcs-826 109 8 of of ADP eajbcs-826 109 9 ã ã PROPN eajbcs-826 109 10 is be AUX eajbcs-826 109 11 given give VERB eajbcs-826 109 12 below below ADP eajbcs-826 109 13 : : PUNCT eajbcs-826 109 14 µã(x µã(x X eajbcs-826 109 15 ) ) PUNCT eajbcs-826 109 16 = = SYM eajbcs-826 109 17   X eajbcs-826 109 18 0 0 NUM eajbcs-826 109 19 , , PUNCT eajbcs-826 109 20 x x SYM eajbcs-826 109 21 ≤ ≤ NUM eajbcs-826 109 22 ap ap PROPN eajbcs-826 109 23 x−ap x−ap PROPN eajbcs-826 109 24 a−ap a−ap PROPN eajbcs-826 109 25 , , PUNCT eajbcs-826 109 26 ap ap PROPN eajbcs-826 109 27 ≤ ≤ NUM eajbcs-826 109 28 x x PUNCT eajbcs-826 109 29 ≤ ≤ NUM eajbcs-826 109 30 a a DET eajbcs-826 109 31 ao−x ao−x ADJ eajbcs-826 109 32 ao−a ao−a NOUN eajbcs-826 109 33 , , PUNCT eajbcs-826 109 34 a a DET eajbcs-826 109 35 ≤ ≤ NOUN eajbcs-826 109 36 x x SYM eajbcs-826 109 37 ≤ ≤ NUM eajbcs-826 109 38 ao ao NOUN eajbcs-826 109 39 0 0 NUM eajbcs-826 109 40 , , PUNCT eajbcs-826 109 41 otherwise otherwise ADV eajbcs-826 109 42 note note VERB eajbcs-826 109 43 : : PUNCT eajbcs-826 109 44 the the DET eajbcs-826 109 45 point point NOUN eajbcs-826 109 46 ’ ' PUNCT eajbcs-826 109 47 a a PRON eajbcs-826 109 48 ’ ' PUNCT eajbcs-826 109 49 is be AUX eajbcs-826 109 50 the the DET eajbcs-826 109 51 core core NOUN eajbcs-826 109 52 value value NOUN eajbcs-826 109 53 of of ADP eajbcs-826 109 54 triangular triangular NOUN eajbcs-826 109 55 fuzzy fuzzy ADJ eajbcs-826 109 56 number number NOUN eajbcs-826 109 57 ã ã PROPN eajbcs-826 109 58 , , PUNCT eajbcs-826 109 59 where where SCONJ eajbcs-826 109 60 µã(a µã(a NOUN eajbcs-826 109 61 ) ) PUNCT eajbcs-826 110 1 = = SYM eajbcs-826 110 2 1 1 NUM eajbcs-826 110 3 ap ap NOUN eajbcs-826 110 4 and and CCONJ eajbcs-826 110 5 ao ao PROPN eajbcs-826 110 6 are be AUX eajbcs-826 110 7 the the DET eajbcs-826 110 8 lower low ADJ eajbcs-826 110 9 and and CCONJ eajbcs-826 110 10 upper upper ADJ eajbcs-826 110 11 bounds bound NOUN eajbcs-826 110 12 of of ADP eajbcs-826 110 13 support support NOUN eajbcs-826 110 14 of of ADP eajbcs-826 110 15 triangular triangular NOUN eajbcs-826 110 16 fuzzy fuzzy ADJ eajbcs-826 110 17 number number NOUN eajbcs-826 110 18 ã ã PROPN eajbcs-826 110 19 respectively respectively ADV eajbcs-826 110 20 . . PUNCT eajbcs-826 111 1 definition definition NOUN eajbcs-826 111 2 : : PUNCT eajbcs-826 112 1 [ [ X eajbcs-826 112 2 roy roy PROPN eajbcs-826 112 3 et et PROPN eajbcs-826 112 4 al al PROPN eajbcs-826 112 5 . . PROPN eajbcs-826 112 6 ( ( PUNCT eajbcs-826 112 7 2018 2018 NUM eajbcs-826 112 8 ) ) PUNCT eajbcs-826 112 9 ] ] PUNCT eajbcs-826 112 10 : : PUNCT eajbcs-826 112 11 let let VERB eajbcs-826 112 12 ã ã PROPN eajbcs-826 112 13 = = SYM eajbcs-826 112 14 ( ( PUNCT eajbcs-826 112 15 ap ap PROPN eajbcs-826 112 16 , , PUNCT eajbcs-826 112 17 a a PRON eajbcs-826 112 18 , , PUNCT eajbcs-826 112 19 ao ao PROPN eajbcs-826 112 20 ) ) PUNCT eajbcs-826 112 21 and and CCONJ eajbcs-826 112 22 b̃ b̃ PROPN eajbcs-826 112 23 = = SYM eajbcs-826 112 24 ( ( PUNCT eajbcs-826 112 25 bp bp PROPN eajbcs-826 112 26 , , PUNCT eajbcs-826 112 27 b b PROPN eajbcs-826 112 28 , , PUNCT eajbcs-826 112 29 bo bo PROPN eajbcs-826 112 30 ) ) PUNCT eajbcs-826 112 31 be be VERB eajbcs-826 112 32 two two NUM eajbcs-826 112 33 triangular triangular NOUN eajbcs-826 112 34 fuzzy fuzzy ADJ eajbcs-826 112 35 numbers number NOUN eajbcs-826 112 36 , , PUNCT eajbcs-826 112 37 then then ADV eajbcs-826 112 38 ( ( PUNCT eajbcs-826 112 39 i i NOUN eajbcs-826 112 40 ) ) PUNCT eajbcs-826 112 41 ( ( PUNCT eajbcs-826 112 42 ap ap PROPN eajbcs-826 112 43 , , PUNCT eajbcs-826 112 44 a a PRON eajbcs-826 112 45 , , PUNCT eajbcs-826 112 46 ao)⊕(bp ao)⊕(bp PROPN eajbcs-826 112 47 , , PUNCT eajbcs-826 112 48 b b PROPN eajbcs-826 112 49 , , PUNCT eajbcs-826 112 50 bo bo PROPN eajbcs-826 112 51 ) ) PUNCT eajbcs-826 112 52 = = SYM eajbcs-826 112 53 ( ( PUNCT eajbcs-826 112 54 ap+ap ap+ap ADJ eajbcs-826 112 55 , , PUNCT eajbcs-826 112 56 a+b a+b NUM eajbcs-826 112 57 , , PUNCT eajbcs-826 112 58 ao+ ao+ PROPN eajbcs-826 112 59 bo bo PROPN eajbcs-826 112 60 ) ) PUNCT eajbcs-826 112 61 ( ( PUNCT eajbcs-826 112 62 ii ii NOUN eajbcs-826 112 63 ) ) PUNCT eajbcs-826 112 64 k(ap k(ap PROPN eajbcs-826 112 65 , , PUNCT eajbcs-826 112 66 a a PRON eajbcs-826 112 67 , , PUNCT eajbcs-826 112 68 ao ao PROPN eajbcs-826 112 69 ) ) PUNCT eajbcs-826 112 70 = = SYM eajbcs-826 112 71 ( ( PUNCT eajbcs-826 112 72 kap kap PROPN eajbcs-826 112 73 , , PUNCT eajbcs-826 112 74 ka ka PROPN eajbcs-826 112 75 , , PUNCT eajbcs-826 112 76 kao kao PROPN eajbcs-826 112 77 ) ) PUNCT eajbcs-826 112 78 , , PUNCT eajbcs-826 112 79 k k X eajbcs-826 112 80 ≥ ≥ X eajbcs-826 112 81 0 0 NUM eajbcs-826 112 82 ( ( PUNCT eajbcs-826 112 83 iii iii NOUN eajbcs-826 112 84 ) ) PUNCT eajbcs-826 112 85 ( ( PUNCT eajbcs-826 112 86 ap ap PROPN eajbcs-826 112 87 , , PUNCT eajbcs-826 112 88 a a PRON eajbcs-826 112 89 , , PUNCT eajbcs-826 112 90 ao)⊗ ao)⊗ PROPN eajbcs-826 112 91 ( ( PUNCT eajbcs-826 112 92 bp bp PROPN eajbcs-826 112 93 , , PUNCT eajbcs-826 112 94 b b NOUN eajbcs-826 112 95 , , PUNCT eajbcs-826 112 96 bo bo PROPN eajbcs-826 112 97 ) ) PUNCT eajbcs-826 112 98 = = SYM eajbcs-826 112 99 ( ( PUNCT eajbcs-826 112 100 apbp apbp PROPN eajbcs-826 112 101 , , PUNCT eajbcs-826 112 102 ab ab PROPN eajbcs-826 112 103 , , PUNCT eajbcs-826 112 104 aobo aobo PROPN eajbcs-826 112 105 , , PUNCT eajbcs-826 112 106 if if SCONJ eajbcs-826 112 107 ap ap PROPN eajbcs-826 112 108 ≥ ≥ VERB eajbcs-826 112 109 0 0 NUM eajbcs-826 112 110 and and CCONJ eajbcs-826 112 111 bp bp PROPN eajbcs-826 112 112 ≥ ≥ NUM eajbcs-826 112 113 0 0 NUM eajbcs-826 112 114 definition definition NOUN eajbcs-826 112 115 : : PUNCT eajbcs-826 113 1 [ [ X eajbcs-826 113 2 ebrahimnejad ebrahimnejad X eajbcs-826 113 3 ( ( PUNCT eajbcs-826 113 4 2017 2017 NUM eajbcs-826 113 5 ) ) PUNCT eajbcs-826 113 6 ] ] PUNCT eajbcs-826 113 7 : : PUNCT eajbcs-826 113 8 let let VERB eajbcs-826 113 9 ã ã PROPN eajbcs-826 113 10 = = SYM eajbcs-826 113 11 ( ( PUNCT eajbcs-826 113 12 ap ap PROPN eajbcs-826 113 13 , , PUNCT eajbcs-826 113 14 a a PRON eajbcs-826 113 15 , , PUNCT eajbcs-826 113 16 ao ao PROPN eajbcs-826 113 17 ) ) PUNCT eajbcs-826 113 18 and and CCONJ eajbcs-826 113 19 b̃ b̃ PROPN eajbcs-826 113 20 = = SYM eajbcs-826 113 21 ( ( PUNCT eajbcs-826 113 22 bp bp PROPN eajbcs-826 113 23 , , PUNCT eajbcs-826 113 24 b b PROPN eajbcs-826 113 25 , , PUNCT eajbcs-826 113 26 bo bo PROPN eajbcs-826 113 27 ) ) PUNCT eajbcs-826 113 28 be be VERB eajbcs-826 113 29 two two NUM eajbcs-826 113 30 triangular triangular NOUN eajbcs-826 113 31 fuzzy fuzzy ADJ eajbcs-826 113 32 numbers number NOUN eajbcs-826 113 33 , , PUNCT eajbcs-826 113 34 then then ADV eajbcs-826 113 35 ( ( PUNCT eajbcs-826 113 36 i i NOUN eajbcs-826 113 37 ) ) PUNCT eajbcs-826 113 38 ã ã PROPN eajbcs-826 113 39 = = SYM eajbcs-826 113 40 b̃ b̃ PROPN eajbcs-826 113 41 iff iff PROPN eajbcs-826 113 42 ap ap PROPN eajbcs-826 113 43 = = PROPN eajbcs-826 113 44 bp bp PROPN eajbcs-826 113 45 , , PUNCT eajbcs-826 113 46 a a DET eajbcs-826 113 47 = = NOUN eajbcs-826 113 48 b b NOUN eajbcs-826 113 49 and and CCONJ eajbcs-826 113 50 ao ao PROPN eajbcs-826 113 51 = = NOUN eajbcs-826 113 52 bo bo PROPN eajbcs-826 113 53 ( ( PUNCT eajbcs-826 113 54 ii ii NOUN eajbcs-826 113 55 ) ) PUNCT eajbcs-826 114 1 ã ã PROPN eajbcs-826 115 1 = = SYM eajbcs-826 115 2 ( ( PUNCT eajbcs-826 115 3 ap ap PROPN eajbcs-826 115 4 , , PUNCT eajbcs-826 115 5 a a PRON eajbcs-826 115 6 , , PUNCT eajbcs-826 115 7 ao ao PROPN eajbcs-826 115 8 ) ) PUNCT eajbcs-826 115 9 ≥ ≥ NOUN eajbcs-826 115 10 0 0 NUM eajbcs-826 116 1 iff iff PROPN eajbcs-826 116 2 ap ap PROPN eajbcs-826 116 3 ≥ ≥ PROPN eajbcs-826 116 4 0 0 NUM eajbcs-826 116 5 definition definition NOUN eajbcs-826 116 6 : : PUNCT eajbcs-826 116 7 ebrahimnejad ebrahimnejad PROPN eajbcs-826 116 8 ( ( PUNCT eajbcs-826 116 9 2017 2017 NUM eajbcs-826 116 10 ) ) PUNCT eajbcs-826 116 11 ] ] X eajbcs-826 116 12 : : PUNCT eajbcs-826 116 13 fuzzy fuzzy ADJ eajbcs-826 116 14 tp tp NOUN eajbcs-826 116 15 is be AUX eajbcs-826 116 16 said say VERB eajbcs-826 116 17 to to PART eajbcs-826 116 18 be be AUX eajbcs-826 116 19 balanced balance VERB eajbcs-826 116 20 transportation transportation NOUN eajbcs-826 116 21 problem problem NOUN eajbcs-826 116 22 when when SCONJ eajbcs-826 116 23 total total ADJ eajbcs-826 116 24 supply supply NOUN eajbcs-826 116 25 from from ADP eajbcs-826 116 26 all all DET eajbcs-826 116 27 the the DET eajbcs-826 116 28 sources source NOUN eajbcs-826 116 29 is be AUX eajbcs-826 116 30 equal equal ADJ eajbcs-826 116 31 to to ADP eajbcs-826 116 32 the the DET eajbcs-826 116 33 total total ADJ eajbcs-826 116 34 demand demand NOUN eajbcs-826 116 35 in in ADP eajbcs-826 116 36 all all DET eajbcs-826 116 37 destinations destination NOUN eajbcs-826 116 38 . . PUNCT eajbcs-826 117 1 definition definition NOUN eajbcs-826 117 2 : : PUNCT eajbcs-826 118 1 [ [ X eajbcs-826 118 2 kumar kumar PROPN eajbcs-826 118 3 et et PROPN eajbcs-826 118 4 al al PROPN eajbcs-826 118 5 . . PROPN eajbcs-826 118 6 ( ( PUNCT eajbcs-826 118 7 2011 2011 NUM eajbcs-826 118 8 ) ) PUNCT eajbcs-826 118 9 ] ] X eajbcs-826 118 10 : : PUNCT eajbcs-826 118 11 a a DET eajbcs-826 118 12 ranking rank VERB eajbcs-826 118 13 function function NOUN eajbcs-826 118 14 is be AUX eajbcs-826 118 15 a a DET eajbcs-826 118 16 function function NOUN eajbcs-826 118 17 r r NOUN eajbcs-826 118 18 : : PUNCT eajbcs-826 118 19 f f NOUN eajbcs-826 118 20 ( ( PUNCT eajbcs-826 118 21 r r NOUN eajbcs-826 118 22 ) ) PUNCT eajbcs-826 118 23 → → SYM eajbcs-826 118 24 r r NOUN eajbcs-826 118 25 , , PUNCT eajbcs-826 118 26 where where SCONJ eajbcs-826 118 27 f(r f(r NOUN eajbcs-826 118 28 ) ) PUNCT eajbcs-826 118 29 is be AUX eajbcs-826 118 30 a a DET eajbcs-826 118 31 set set NOUN eajbcs-826 118 32 of of ADP eajbcs-826 118 33 fuzzy fuzzy ADJ eajbcs-826 118 34 numbers number NOUN eajbcs-826 118 35 defined define VERB eajbcs-826 118 36 on on ADP eajbcs-826 118 37 set set NOUN eajbcs-826 118 38 of of ADP eajbcs-826 118 39 real real ADJ eajbcs-826 118 40 numbers number NOUN eajbcs-826 118 41 , , PUNCT eajbcs-826 118 42 which which PRON eajbcs-826 118 43 maps map VERB eajbcs-826 118 44 each each DET eajbcs-826 118 45 fuzzy fuzzy ADJ eajbcs-826 118 46 number number NOUN eajbcs-826 118 47 into into ADP eajbcs-826 118 48 the the DET eajbcs-826 118 49 real real ADJ eajbcs-826 118 50 line line NOUN eajbcs-826 118 51 , , PUNCT eajbcs-826 118 52 where where SCONJ eajbcs-826 118 53 a a DET eajbcs-826 118 54 natural natural ADJ eajbcs-826 118 55 order order NOUN eajbcs-826 118 56 exists exist VERB eajbcs-826 118 57 . . PUNCT eajbcs-826 119 1 let let VERB eajbcs-826 119 2 ã ã PROPN eajbcs-826 119 3 = = SYM eajbcs-826 119 4 ( ( PUNCT eajbcs-826 119 5 ap ap PROPN eajbcs-826 119 6 , , PUNCT eajbcs-826 119 7 a a PRON eajbcs-826 119 8 , , PUNCT eajbcs-826 119 9 ao ao PROPN eajbcs-826 119 10 ) ) PUNCT eajbcs-826 119 11 be be AUX eajbcs-826 119 12 a a DET eajbcs-826 119 13 triangular triangular ADJ eajbcs-826 119 14 fuzzy fuzzy ADJ eajbcs-826 119 15 number number NOUN eajbcs-826 119 16 , , PUNCT eajbcs-826 119 17 then then ADV eajbcs-826 119 18 r(ã r(ã PROPN eajbcs-826 119 19 ) ) PUNCT eajbcs-826 119 20 = = SYM eajbcs-826 120 1 ap+2a+ao ap+2a+ao PROPN eajbcs-826 120 2 4 4 NUM eajbcs-826 120 3 definition definition NOUN eajbcs-826 120 4 : : PUNCT eajbcs-826 121 1 [ [ X eajbcs-826 121 2 hasan hasan PROPN eajbcs-826 121 3 et et PROPN eajbcs-826 121 4 al al PROPN eajbcs-826 121 5 . . PROPN eajbcs-826 121 6 ( ( PUNCT eajbcs-826 121 7 2015 2015 NUM eajbcs-826 121 8 ) ) PUNCT eajbcs-826 121 9 ] ] X eajbcs-826 121 10 : : PUNCT eajbcs-826 121 11 multi multi ADJ eajbcs-826 121 12 - - ADJ eajbcs-826 121 13 objective objective ADJ eajbcs-826 121 14 optimization optimization NOUN eajbcs-826 121 15 problem problem NOUN eajbcs-826 121 16 ( ( PUNCT eajbcs-826 121 17 moop moop NOUN eajbcs-826 121 18 ) ) PUNCT eajbcs-826 121 19 involves involve VERB eajbcs-826 121 20 more more ADJ eajbcs-826 121 21 than than ADP eajbcs-826 121 22 one one NUM eajbcs-826 121 23 objective objective ADJ eajbcs-826 121 24 function function NOUN eajbcs-826 121 25 that that PRON eajbcs-826 121 26 are be AUX eajbcs-826 121 27 to to PART eajbcs-826 121 28 be be AUX eajbcs-826 121 29 minimized minimize VERB eajbcs-826 121 30 or or CCONJ eajbcs-826 121 31 maximized maximize VERB eajbcs-826 121 32 . . PUNCT eajbcs-826 122 1 answer answer NOUN eajbcs-826 122 2 of of ADP eajbcs-826 122 3 moop moop PROPN eajbcs-826 122 4 is be AUX eajbcs-826 122 5 the the DET eajbcs-826 122 6 set set NOUN eajbcs-826 122 7 of of ADP eajbcs-826 122 8 solutions solution NOUN eajbcs-826 122 9 that that PRON eajbcs-826 122 10 define define VERB eajbcs-826 122 11 t t PROPN eajbcs-826 122 12 he he PRON eajbcs-826 122 13 b b PROPN eajbcs-826 122 14 est est X eajbcs-826 122 15 t t X eajbcs-826 122 16 radeoff radeoff NOUN eajbcs-826 122 17 between between ADP eajbcs-826 122 18 competing compete VERB eajbcs-826 122 19 objectives objective NOUN eajbcs-826 122 20 . . PUNCT eajbcs-826 123 1 the the DET eajbcs-826 123 2 following follow VERB eajbcs-826 123 3 is be AUX eajbcs-826 123 4 general general ADJ eajbcs-826 123 5 mathematical mathematical ADJ eajbcs-826 123 6 form form NOUN eajbcs-826 123 7 of of ADP eajbcs-826 123 8 moop moop NOUN eajbcs-826 123 9 : : PUNCT eajbcs-826 123 10 east east PROPN eajbcs-826 123 11 afr afr PROPN eajbcs-826 123 12 . . PUNCT eajbcs-826 124 1 j. j. PROPN eajbcs-826 124 2 biophys biophys PROPN eajbcs-826 124 3 . . PUNCT eajbcs-826 125 1 comput comput NOUN eajbcs-826 125 2 . . PUNCT eajbcs-826 126 1 sci sci PROPN eajbcs-826 126 2 . . PUNCT eajbcs-826 126 3 ( ( PUNCT eajbcs-826 126 4 2023 2023 NUM eajbcs-826 126 5 ) ) PUNCT eajbcs-826 126 6 , , PUNCT eajbcs-826 126 7 vol vol NOUN eajbcs-826 126 8 . . PROPN eajbcs-826 126 9 4 4 NUM eajbcs-826 126 10 , , PUNCT eajbcs-826 126 11 issue issue NOUN eajbcs-826 126 12 . . PUNCT eajbcs-826 127 1 2 2 NUM eajbcs-826 127 2 , , PUNCT eajbcs-826 127 3 43 43 NUM eajbcs-826 127 4 - - SYM eajbcs-826 127 5 53 53 NUM eajbcs-826 127 6 45 45 NUM eajbcs-826 127 7 basic basic ADJ eajbcs-826 127 8 preliminaries preliminary NOUN eajbcs-826 127 9 max max NOUN eajbcs-826 127 10 /min /min PUNCT eajbcs-826 127 11 zm(x),m zm(x),m X eajbcs-826 127 12 = = SYM eajbcs-826 127 13 1 1 NUM eajbcs-826 127 14 , , PUNCT eajbcs-826 127 15 2 2 NUM eajbcs-826 127 16 , , PUNCT eajbcs-826 127 17 3 3 NUM eajbcs-826 127 18 , , PUNCT eajbcs-826 127 19 ... ... PUNCT eajbcs-826 127 20 , , PUNCT eajbcs-826 127 21 m m VERB eajbcs-826 127 22 ( ( PUNCT eajbcs-826 127 23 2.1 2.1 NUM eajbcs-826 127 24 ) ) PUNCT eajbcs-826 127 25 s.t s.t PROPN eajbcs-826 127 26 . . PROPN eajbcs-826 127 27 gj(x gj(x PROPN eajbcs-826 127 28 ) ) PUNCT eajbcs-826 127 29 ≥ ≥ NOUN eajbcs-826 127 30 0 0 NUM eajbcs-826 127 31 , , PUNCT eajbcs-826 127 32 j j PROPN eajbcs-826 127 33 = = SYM eajbcs-826 127 34 1 1 NUM eajbcs-826 127 35 , , PUNCT eajbcs-826 127 36 2 2 NUM eajbcs-826 127 37 , , PUNCT eajbcs-826 127 38 ... ... PUNCT eajbcs-826 127 39 , , PUNCT eajbcs-826 127 40 j j PROPN eajbcs-826 127 41 ( ( PUNCT eajbcs-826 127 42 2.2 2.2 NUM eajbcs-826 127 43 ) ) PUNCT eajbcs-826 127 44 hk(x hk(x NOUN eajbcs-826 127 45 ) ) PUNCT eajbcs-826 127 46 ≥ ≥ NOUN eajbcs-826 127 47 0 0 NUM eajbcs-826 127 48 , , PUNCT eajbcs-826 127 49 k k NOUN eajbcs-826 127 50 = = SYM eajbcs-826 127 51 1 1 NUM eajbcs-826 127 52 , , PUNCT eajbcs-826 127 53 2 2 NUM eajbcs-826 127 54 , , PUNCT eajbcs-826 127 55 ... ... PUNCT eajbcs-826 127 56 , , PUNCT eajbcs-826 127 57 k k X eajbcs-826 127 58 ( ( PUNCT eajbcs-826 127 59 2.3 2.3 NUM eajbcs-826 127 60 ) ) PUNCT eajbcs-826 127 61 xl xl PROPN eajbcs-826 127 62 ≤xi ≤xi PROPN eajbcs-826 127 63 ≤ ≤ PROPN eajbcs-826 127 64 xu xu PROPN eajbcs-826 128 1 ( ( PUNCT eajbcs-826 128 2 2.4 2.4 NUM eajbcs-826 128 3 ) ) PUNCT eajbcs-826 128 4 the the DET eajbcs-826 128 5 mathematical mathematical ADJ eajbcs-826 128 6 model model NOUN eajbcs-826 128 7 for for ADP eajbcs-826 128 8 moftp moftp NOUN eajbcs-826 128 9 with with ADP eajbcs-826 128 10 fuzzy fuzzy ADJ eajbcs-826 128 11 decision decision NOUN eajbcs-826 128 12 variables variable NOUN eajbcs-826 128 13 is be AUX eajbcs-826 128 14 represented represent VERB eajbcs-826 128 15 as as ADP eajbcs-826 128 16 : : PUNCT eajbcs-826 128 17 min min NOUN eajbcs-826 128 18 : : PUNCT eajbcs-826 128 19 z̃k z̃k PROPN eajbcs-826 129 1 ≈ ≈ PROPN eajbcs-826 129 2 m∑ m∑ INTJ eajbcs-826 129 3 i=1 i=1 PROPN eajbcs-826 129 4 n∑ n∑ PROPN eajbcs-826 130 1 j=1 j=1 NOUN eajbcs-826 130 2 ( ( PUNCT eajbcs-826 130 3 ( ( PUNCT eajbcs-826 130 4 ckij ckij ADJ eajbcs-826 130 5 ) ) PUNCT eajbcs-826 130 6 pxp pxp PROPN eajbcs-826 130 7 ij ij PROPN eajbcs-826 130 8 , , PUNCT eajbcs-826 130 9 c c PROPN eajbcs-826 130 10 k k PROPN eajbcs-826 130 11 ijxij ijxij PROPN eajbcs-826 130 12 , , PUNCT eajbcs-826 130 13 ( ( PUNCT eajbcs-826 130 14 c c NOUN eajbcs-826 130 15 k k PROPN eajbcs-826 130 16 ij ij PROPN eajbcs-826 130 17 ) ) PUNCT eajbcs-826 130 18 oxo oxo NOUN eajbcs-826 130 19 ij ij NOUN eajbcs-826 130 20 ) ) PUNCT eajbcs-826 130 21 , , PUNCT eajbcs-826 130 22 k k PROPN eajbcs-826 130 23 ∈ ∈ PROPN eajbcs-826 130 24 { { PUNCT eajbcs-826 130 25 1 1 NUM eajbcs-826 130 26 , , PUNCT eajbcs-826 130 27 2 2 NUM eajbcs-826 130 28 ... ... SYM eajbcs-826 130 29 k k NOUN eajbcs-826 130 30 } } PUNCT eajbcs-826 130 31 ( ( PUNCT eajbcs-826 130 32 3.1 3.1 NUM eajbcs-826 130 33 ) ) PUNCT eajbcs-826 130 34 subject subject NOUN eajbcs-826 130 35 to to ADP eajbcs-826 130 36 n∑ n∑ ADJ eajbcs-826 130 37 j=1 j=1 PROPN eajbcs-826 130 38 ( ( PUNCT eajbcs-826 130 39 xp xp INTJ eajbcs-826 130 40 ij ij INTJ eajbcs-826 130 41 , , PUNCT eajbcs-826 130 42 xij xij X eajbcs-826 130 43 , , PUNCT eajbcs-826 130 44 x x X eajbcs-826 130 45 o o NOUN eajbcs-826 130 46 ij ij NOUN eajbcs-826 130 47 ) ) PUNCT eajbcs-826 131 1 ≈ ≈ PROPN eajbcs-826 131 2 ( ( PUNCT eajbcs-826 131 3 api api NOUN eajbcs-826 131 4 , , PUNCT eajbcs-826 131 5 ai ai VERB eajbcs-826 131 6 , , PUNCT eajbcs-826 131 7 a a DET eajbcs-826 131 8 o o X eajbcs-826 131 9 i i NOUN eajbcs-826 131 10 ) ) PUNCT eajbcs-826 131 11 , , PUNCT eajbcs-826 131 12 i i PRON eajbcs-826 131 13 ∈ ∈ PROPN eajbcs-826 131 14 { { PUNCT eajbcs-826 131 15 1 1 NUM eajbcs-826 131 16 , , PUNCT eajbcs-826 131 17 2 2 NUM eajbcs-826 131 18 , , PUNCT eajbcs-826 131 19 3 3 NUM eajbcs-826 131 20 , , PUNCT eajbcs-826 131 21 ... ... PUNCT eajbcs-826 131 22 , , PUNCT eajbcs-826 131 23 m m VERB eajbcs-826 131 24 } } PUNCT eajbcs-826 131 25 ( ( PUNCT eajbcs-826 131 26 3.2 3.2 NUM eajbcs-826 131 27 ) ) PUNCT eajbcs-826 131 28 m∑ m∑ CCONJ eajbcs-826 131 29 i=1 i=1 PROPN eajbcs-826 132 1 ( ( PUNCT eajbcs-826 132 2 xp xp INTJ eajbcs-826 132 3 ij ij INTJ eajbcs-826 132 4 , , PUNCT eajbcs-826 132 5 xij xij X eajbcs-826 132 6 , , PUNCT eajbcs-826 132 7 x x X eajbcs-826 132 8 o o NOUN eajbcs-826 132 9 ij ij NOUN eajbcs-826 132 10 ) ) PUNCT eajbcs-826 133 1 ≈ ≈ PROPN eajbcs-826 133 2 ( ( PUNCT eajbcs-826 133 3 bpj bpj ADJ eajbcs-826 133 4 , , PUNCT eajbcs-826 133 5 bj bj NOUN eajbcs-826 133 6 , , PUNCT eajbcs-826 133 7 b b PROPN eajbcs-826 133 8 o o X eajbcs-826 133 9 j j PROPN eajbcs-826 133 10 ) ) PUNCT eajbcs-826 133 11 , , PUNCT eajbcs-826 133 12 j j PROPN eajbcs-826 133 13 ∈ ∈ PROPN eajbcs-826 133 14 { { PUNCT eajbcs-826 133 15 1 1 NUM eajbcs-826 133 16 , , PUNCT eajbcs-826 133 17 2 2 NUM eajbcs-826 133 18 , , PUNCT eajbcs-826 133 19 3 3 NUM eajbcs-826 133 20 , , PUNCT eajbcs-826 133 21 ... ... PUNCT eajbcs-826 133 22 , , PUNCT eajbcs-826 133 23 n n CCONJ eajbcs-826 133 24 } } PUNCT eajbcs-826 133 25 ( ( PUNCT eajbcs-826 133 26 3.3 3.3 NUM eajbcs-826 133 27 ) ) PUNCT eajbcs-826 133 28 x̃ij x̃ij PROPN eajbcs-826 133 29 ⪰ ⪰ NOUN eajbcs-826 133 30 0 0 NUM eajbcs-826 133 31 , , PUNCT eajbcs-826 133 32 i i PRON eajbcs-826 133 33 ∈ ∈ PROPN eajbcs-826 133 34 { { PUNCT eajbcs-826 133 35 1 1 NUM eajbcs-826 133 36 , , PUNCT eajbcs-826 133 37 2 2 NUM eajbcs-826 133 38 , , PUNCT eajbcs-826 133 39 3 3 NUM eajbcs-826 133 40 , , PUNCT eajbcs-826 133 41 ... ... PUNCT eajbcs-826 133 42 , , PUNCT eajbcs-826 133 43 m m VERB eajbcs-826 133 44 } } PUNCT eajbcs-826 133 45 ; ; PUNCT eajbcs-826 133 46 j j PROPN eajbcs-826 133 47 ∈ ∈ PROPN eajbcs-826 133 48 { { PUNCT eajbcs-826 133 49 1 1 NUM eajbcs-826 133 50 , , PUNCT eajbcs-826 133 51 2 2 NUM eajbcs-826 133 52 , , PUNCT eajbcs-826 133 53 3 3 NUM eajbcs-826 133 54 , , PUNCT eajbcs-826 133 55 ... ... PUNCT eajbcs-826 133 56 , , PUNCT eajbcs-826 133 57 n n CCONJ eajbcs-826 133 58 } } PUNCT eajbcs-826 133 59 ( ( PUNCT eajbcs-826 133 60 3.4 3.4 NUM eajbcs-826 133 61 ) ) PUNCT eajbcs-826 133 62 where where SCONJ eajbcs-826 133 63 , , PUNCT eajbcs-826 133 64 i. i. PROPN eajbcs-826 133 65 the the DET eajbcs-826 133 66 fuzzy fuzzy ADJ eajbcs-826 133 67 total total ADJ eajbcs-826 133 68 availability availability NOUN eajbcs-826 133 69 and and CCONJ eajbcs-826 133 70 fuzzy fuzzy ADJ eajbcs-826 133 71 total total ADJ eajbcs-826 133 72 demand demand NOUN eajbcs-826 133 73 are be AUX eajbcs-826 133 74 assumed assume VERB eajbcs-826 133 75 to to PART eajbcs-826 133 76 be be AUX eajbcs-826 133 77 equal(balanced equal(balance VERB eajbcs-826 133 78 fuzzy fuzzy ADJ eajbcs-826 133 79 transportation transportation NOUN eajbcs-826 133 80 problem problem NOUN eajbcs-826 133 81 ) ) PUNCT eajbcs-826 133 82 , , PUNCT eajbcs-826 134 1 ′m′ ′m′ PUNCT eajbcs-826 134 2 is be AUX eajbcs-826 134 3 total total ADJ eajbcs-826 134 4 number number NOUN eajbcs-826 134 5 of of ADP eajbcs-826 134 6 supply supply NOUN eajbcs-826 134 7 points point NOUN eajbcs-826 134 8 and and CCONJ eajbcs-826 134 9 ’ ' PUNCT eajbcs-826 134 10 n n CCONJ eajbcs-826 134 11 ’ ' PUNCT eajbcs-826 134 12 is be AUX eajbcs-826 134 13 total total ADJ eajbcs-826 134 14 number number NOUN eajbcs-826 134 15 of of ADP eajbcs-826 134 16 destination destination NOUN eajbcs-826 134 17 points point NOUN eajbcs-826 134 18 , , PUNCT eajbcs-826 134 19 ii ii PROPN eajbcs-826 134 20 . . PUNCT eajbcs-826 135 1 ãi=(api ãi=(api ADV eajbcs-826 135 2 , , PUNCT eajbcs-826 135 3 ai ai VERB eajbcs-826 135 4 , , PUNCT eajbcs-826 136 1 a a DET eajbcs-826 136 2 o o X eajbcs-826 136 3 i i NOUN eajbcs-826 136 4 ) ) PUNCT eajbcs-826 136 5 is be AUX eajbcs-826 136 6 the the DET eajbcs-826 136 7 fuzzy fuzzy ADJ eajbcs-826 136 8 availability availability NOUN eajbcs-826 136 9 of of ADP eajbcs-826 136 10 the the DET eajbcs-826 136 11 commodity commodity NOUN eajbcs-826 136 12 at at ADP eajbcs-826 136 13 ith ith PROPN eajbcs-826 136 14 origin origin NOUN eajbcs-826 136 15 and and CCONJ eajbcs-826 136 16 assumed assume VERB eajbcs-826 136 17 to to PART eajbcs-826 136 18 be be AUX eajbcs-826 136 19 triangular triangular VERB eajbcs-826 136 20 fuzzy fuzzy ADJ eajbcs-826 136 21 number number NOUN eajbcs-826 136 22 , , PUNCT eajbcs-826 136 23 iii iii PROPN eajbcs-826 136 24 . . PUNCT eajbcs-826 136 25 b̃j=(bpj b̃j=(bpj PROPN eajbcs-826 136 26 , , PUNCT eajbcs-826 136 27 bj bj VERB eajbcs-826 136 28 , , PUNCT eajbcs-826 136 29 b b PROPN eajbcs-826 136 30 o o X eajbcs-826 136 31 j j PROPN eajbcs-826 136 32 ) ) PUNCT eajbcs-826 136 33 is be AUX eajbcs-826 136 34 the the DET eajbcs-826 136 35 fuzzy fuzzy ADJ eajbcs-826 136 36 requirement requirement NOUN eajbcs-826 136 37 of of ADP eajbcs-826 136 38 the the DET eajbcs-826 136 39 commodity commodity NOUN eajbcs-826 136 40 at at ADP eajbcs-826 136 41 jth jth PROPN eajbcs-826 136 42 destination destination NOUN eajbcs-826 136 43 and and CCONJ eajbcs-826 136 44 assumed assume VERB eajbcs-826 136 45 to to PART eajbcs-826 136 46 be be AUX eajbcs-826 136 47 triangular triangular VERB eajbcs-826 136 48 fuzzy fuzzy ADJ eajbcs-826 136 49 number number NOUN eajbcs-826 136 50 , , PUNCT eajbcs-826 136 51 iv iv X eajbcs-826 136 52 . . PUNCT eajbcs-826 136 53 c̃ij=(cpi c̃ij=(cpi PROPN eajbcs-826 136 54 j j PROPN eajbcs-826 136 55 , , PUNCT eajbcs-826 136 56 cij cij PROPN eajbcs-826 136 57 , , PUNCT eajbcs-826 136 58 c c NOUN eajbcs-826 136 59 o o NOUN eajbcs-826 137 1 i i PRON eajbcs-826 137 2 j j PROPN eajbcs-826 137 3 ) ) PUNCT eajbcs-826 137 4 is be AUX eajbcs-826 137 5 the the DET eajbcs-826 137 6 fuzzy fuzzy ADJ eajbcs-826 137 7 cost cost NOUN eajbcs-826 137 8 coefficient coefficient NOUN eajbcs-826 137 9 involved involve VERB eajbcs-826 137 10 with with ADP eajbcs-826 137 11 fuzzy fuzzy ADJ eajbcs-826 137 12 variables variable NOUN eajbcs-826 137 13 in in ADP eajbcs-826 137 14 the the DET eajbcs-826 137 15 objective objective ADJ eajbcs-826 137 16 function function NOUN eajbcs-826 137 17 from from ADP eajbcs-826 137 18 ith ith PROPN eajbcs-826 137 19 origin origin NOUN eajbcs-826 137 20 to to ADP eajbcs-826 137 21 jth jth PROPN eajbcs-826 137 22 destination destination PROPN eajbcs-826 137 23 , , PUNCT eajbcs-826 137 24 which which PRON eajbcs-826 137 25 is be AUX eajbcs-826 137 26 also also ADV eajbcs-826 137 27 assumed assume VERB eajbcs-826 137 28 to to PART eajbcs-826 137 29 be be AUX eajbcs-826 137 30 triangular triangular VERB eajbcs-826 137 31 fuzzy fuzzy ADJ eajbcs-826 137 32 number number NOUN eajbcs-826 137 33 , , PUNCT eajbcs-826 138 1 v. v. PROPN eajbcs-826 138 2 x̃ij=(xp x̃ij=(xp PROPN eajbcs-826 138 3 ij ij PROPN eajbcs-826 138 4 , , PUNCT eajbcs-826 138 5 xij xij X eajbcs-826 138 6 , , PUNCT eajbcs-826 138 7 x x PUNCT eajbcs-826 138 8 o o NOUN eajbcs-826 138 9 ij ij NOUN eajbcs-826 138 10 ) ) PUNCT eajbcs-826 138 11 is be AUX eajbcs-826 138 12 the the DET eajbcs-826 138 13 fuzzy fuzzy ADJ eajbcs-826 138 14 quantity quantity NOUN eajbcs-826 138 15 that that PRON eajbcs-826 138 16 should should AUX eajbcs-826 138 17 be be AUX eajbcs-826 138 18 transported transport VERB eajbcs-826 138 19 from from ADP eajbcs-826 138 20 ith ith PROPN eajbcs-826 138 21 origin origin NOUN eajbcs-826 138 22 to to ADP eajbcs-826 138 23 jth jth PROPN eajbcs-826 138 24 destination destination NOUN eajbcs-826 138 25 and and CCONJ eajbcs-826 138 26 assumed assume VERB eajbcs-826 138 27 to to PART eajbcs-826 138 28 be be AUX eajbcs-826 138 29 triangular triangular VERB eajbcs-826 138 30 fuzzy fuzzy ADJ eajbcs-826 138 31 decision decision NOUN eajbcs-826 138 32 variables variable NOUN eajbcs-826 138 33 . . PUNCT eajbcs-826 139 1 crisp crisp ADJ eajbcs-826 139 2 equivalent equivalent NOUN eajbcs-826 139 3 of of ADP eajbcs-826 139 4 multiobjective multiobjective ADJ eajbcs-826 139 5 fuzzy fuzzy ADJ eajbcs-826 139 6 transportation transportation NOUN eajbcs-826 139 7 problem problem NOUN eajbcs-826 139 8 since since SCONJ eajbcs-826 139 9 fmp fmp NOUN eajbcs-826 139 10 model model NOUN eajbcs-826 139 11 from from ADP eajbcs-826 139 12 ( ( PUNCT eajbcs-826 139 13 3.1 3.1 NUM eajbcs-826 139 14 ) ) PUNCT eajbcs-826 139 15 to to ADP eajbcs-826 139 16 ( ( PUNCT eajbcs-826 139 17 3.4 3.4 NUM eajbcs-826 139 18 ) ) PUNCT eajbcs-826 139 19 can can AUX eajbcs-826 139 20 not not PART eajbcs-826 139 21 be be AUX eajbcs-826 139 22 solved solve VERB eajbcs-826 139 23 directly directly ADV eajbcs-826 139 24 , , PUNCT eajbcs-826 139 25 so so ADV eajbcs-826 139 26 ranking ranking ADJ eajbcs-826 139 27 function function NOUN eajbcs-826 139 28 and and CCONJ eajbcs-826 139 29 the the DET eajbcs-826 139 30 property property NOUN eajbcs-826 139 31 of of ADP eajbcs-826 139 32 equality equality NOUN eajbcs-826 139 33 between between ADP eajbcs-826 139 34 the the DET eajbcs-826 139 35 fuzzy fuzzy ADJ eajbcs-826 139 36 numbers number NOUN eajbcs-826 139 37 are be AUX eajbcs-826 139 38 respectively respectively ADV eajbcs-826 139 39 applied apply VERB eajbcs-826 139 40 on on ADP eajbcs-826 139 41 the the DET eajbcs-826 139 42 fuzzy fuzzy ADJ eajbcs-826 139 43 objective objective ADJ eajbcs-826 139 44 functions function NOUN eajbcs-826 139 45 and and CCONJ eajbcs-826 139 46 fuzzy fuzzy ADJ eajbcs-826 139 47 constraints constraint NOUN eajbcs-826 139 48 models model NOUN eajbcs-826 139 49 of of ADP eajbcs-826 139 50 moftp moftp NOUN eajbcs-826 139 51 . . PUNCT eajbcs-826 140 1 the the DET eajbcs-826 140 2 resultant resultant NOUN eajbcs-826 140 3 crisp crisp ADJ eajbcs-826 140 4 equivalent equivalent NOUN eajbcs-826 140 5 is be AUX eajbcs-826 140 6 obtained obtain VERB eajbcs-826 140 7 as as ADP eajbcs-826 140 8 : : PUNCT eajbcs-826 140 9 min min NOUN eajbcs-826 140 10 : : PUNCT eajbcs-826 140 11 zk zk PROPN eajbcs-826 140 12 = = SYM eajbcs-826 140 13 1 1 NUM eajbcs-826 140 14 4 4 NUM eajbcs-826 140 15 m∑ m∑ NOUN eajbcs-826 140 16 i=1 i=1 PROPN eajbcs-826 140 17 n∑ n∑ PROPN eajbcs-826 141 1 j=1 j=1 NOUN eajbcs-826 141 2 ( ( PUNCT eajbcs-826 141 3 ( ( PUNCT eajbcs-826 141 4 cpij cpij ADJ eajbcs-826 141 5 ) ) PUNCT eajbcs-826 141 6 kxp kxp NOUN eajbcs-826 141 7 ij+2ckijxij+(coij ij+2ckijxij+(coij PROPN eajbcs-826 141 8 ) ) PUNCT eajbcs-826 141 9 kxo kxo PROPN eajbcs-826 141 10 ij ij PROPN eajbcs-826 141 11 ) ) PUNCT eajbcs-826 141 12 , , PUNCT eajbcs-826 141 13 k k PROPN eajbcs-826 141 14 = = SYM eajbcs-826 141 15 1 1 NUM eajbcs-826 141 16 , , PUNCT eajbcs-826 141 17 2 2 NUM eajbcs-826 141 18 ..... ..... SYM eajbcs-826 141 19 k k X eajbcs-826 141 20 ( ( PUNCT eajbcs-826 141 21 3.5 3.5 NUM eajbcs-826 141 22 ) ) PUNCT eajbcs-826 141 23 subject subject NOUN eajbcs-826 141 24 to to ADP eajbcs-826 141 25 n∑ n∑ PROPN eajbcs-826 141 26 j=1 j=1 PROPN eajbcs-826 141 27 xp xp INTJ eajbcs-826 142 1 ij ij INTJ eajbcs-826 142 2 = = NOUN eajbcs-826 142 3 api api NOUN eajbcs-826 142 4 , , PUNCT eajbcs-826 142 5 i i PRON eajbcs-826 142 6 ∈ ∈ PROPN eajbcs-826 142 7 { { PUNCT eajbcs-826 142 8 1 1 NUM eajbcs-826 142 9 , , PUNCT eajbcs-826 142 10 2 2 NUM eajbcs-826 142 11 , , PUNCT eajbcs-826 142 12 3 3 NUM eajbcs-826 142 13 , , PUNCT eajbcs-826 142 14 ... ... PUNCT eajbcs-826 142 15 , , PUNCT eajbcs-826 142 16 m m VERB eajbcs-826 142 17 } } PUNCT eajbcs-826 142 18 ; ; PUNCT eajbcs-826 142 19 ( ( PUNCT eajbcs-826 142 20 3.6 3.6 NUM eajbcs-826 142 21 ) ) PUNCT eajbcs-826 143 1 n∑ n∑ NOUN eajbcs-826 144 1 j=1 j=1 NOUN eajbcs-826 144 2 xij xij PROPN eajbcs-826 145 1 = = PUNCT eajbcs-826 145 2 ai ai VERB eajbcs-826 145 3 , , PUNCT eajbcs-826 145 4 i i PRON eajbcs-826 145 5 ∈ ∈ PROPN eajbcs-826 145 6 { { PUNCT eajbcs-826 145 7 1 1 NUM eajbcs-826 145 8 , , PUNCT eajbcs-826 145 9 2 2 NUM eajbcs-826 145 10 , , PUNCT eajbcs-826 145 11 3 3 NUM eajbcs-826 145 12 , , PUNCT eajbcs-826 145 13 ... ... PUNCT eajbcs-826 145 14 , , PUNCT eajbcs-826 145 15 m m VERB eajbcs-826 145 16 } } PUNCT eajbcs-826 145 17 ( ( PUNCT eajbcs-826 145 18 3.7 3.7 NUM eajbcs-826 145 19 ) ) PUNCT eajbcs-826 145 20 east east PROPN eajbcs-826 145 21 afr afr PROPN eajbcs-826 145 22 . . PUNCT eajbcs-826 146 1 j. j. PROPN eajbcs-826 146 2 biophys biophys PROPN eajbcs-826 146 3 . . PUNCT eajbcs-826 147 1 comput comput NOUN eajbcs-826 147 2 . . PUNCT eajbcs-826 148 1 sci sci PROPN eajbcs-826 148 2 . . PUNCT eajbcs-826 148 3 ( ( PUNCT eajbcs-826 148 4 2023 2023 NUM eajbcs-826 148 5 ) ) PUNCT eajbcs-826 148 6 , , PUNCT eajbcs-826 148 7 vol vol NOUN eajbcs-826 148 8 . . PROPN eajbcs-826 148 9 4 4 NUM eajbcs-826 148 10 , , PUNCT eajbcs-826 148 11 issue issue NOUN eajbcs-826 148 12 . . PUNCT eajbcs-826 149 1 2 2 NUM eajbcs-826 149 2 , , PUNCT eajbcs-826 149 3 43 43 NUM eajbcs-826 149 4 - - SYM eajbcs-826 149 5 53 53 NUM eajbcs-826 149 6 46 46 NUM eajbcs-826 149 7 mathematical mathematical ADJ eajbcs-826 149 8 model model NOUN eajbcs-826 149 9 n∑ n∑ PROPN eajbcs-826 150 1 j=1 j=1 PROPN eajbcs-826 150 2 xo xo PROPN eajbcs-826 151 1 ij ij INTJ eajbcs-826 151 2 = = NOUN eajbcs-826 151 3 aoi aoi PROPN eajbcs-826 151 4 , , PUNCT eajbcs-826 151 5 i i PRON eajbcs-826 151 6 ∈ ∈ PROPN eajbcs-826 151 7 { { PUNCT eajbcs-826 151 8 1 1 NUM eajbcs-826 151 9 , , PUNCT eajbcs-826 151 10 2 2 NUM eajbcs-826 151 11 , , PUNCT eajbcs-826 151 12 3 3 NUM eajbcs-826 151 13 , , PUNCT eajbcs-826 151 14 ... ... PUNCT eajbcs-826 151 15 , , PUNCT eajbcs-826 151 16 m m VERB eajbcs-826 151 17 } } PUNCT eajbcs-826 151 18 ( ( PUNCT eajbcs-826 151 19 3.8 3.8 NUM eajbcs-826 151 20 ) ) PUNCT eajbcs-826 151 21 m∑ m∑ VERB eajbcs-826 152 1 i=1 i=1 PROPN eajbcs-826 153 1 xp xp INTJ eajbcs-826 154 1 ij ij INTJ eajbcs-826 154 2 = = NOUN eajbcs-826 154 3 bpj bpj X eajbcs-826 154 4 , , PUNCT eajbcs-826 154 5 j j PROPN eajbcs-826 154 6 ∈ ∈ PROPN eajbcs-826 154 7 { { PUNCT eajbcs-826 154 8 1 1 NUM eajbcs-826 154 9 , , PUNCT eajbcs-826 154 10 2 2 NUM eajbcs-826 154 11 , , PUNCT eajbcs-826 154 12 3 3 NUM eajbcs-826 154 13 , , PUNCT eajbcs-826 154 14 ... ... PUNCT eajbcs-826 154 15 , , PUNCT eajbcs-826 154 16 n n CCONJ eajbcs-826 154 17 } } PUNCT eajbcs-826 154 18 ( ( PUNCT eajbcs-826 154 19 3.9 3.9 NUM eajbcs-826 154 20 ) ) PUNCT eajbcs-826 154 21 m∑ m∑ CCONJ eajbcs-826 155 1 i=1 i=1 PROPN eajbcs-826 155 2 xij xij PROPN eajbcs-826 156 1 = = PUNCT eajbcs-826 156 2 bj bj PROPN eajbcs-826 156 3 , , PUNCT eajbcs-826 156 4 j j PROPN eajbcs-826 156 5 ∈ ∈ PROPN eajbcs-826 156 6 { { PUNCT eajbcs-826 156 7 1 1 NUM eajbcs-826 156 8 , , PUNCT eajbcs-826 156 9 2 2 NUM eajbcs-826 156 10 , , PUNCT eajbcs-826 156 11 3 3 NUM eajbcs-826 156 12 , , PUNCT eajbcs-826 156 13 ... ... PUNCT eajbcs-826 156 14 , , PUNCT eajbcs-826 156 15 n n CCONJ eajbcs-826 156 16 } } PUNCT eajbcs-826 156 17 ( ( PUNCT eajbcs-826 156 18 3.10 3.10 NUM eajbcs-826 156 19 ) ) PUNCT eajbcs-826 156 20 m∑ m∑ CCONJ eajbcs-826 156 21 i=1 i=1 PROPN eajbcs-826 156 22 xo xo PROPN eajbcs-826 157 1 ij ij INTJ eajbcs-826 157 2 = = PROPN eajbcs-826 157 3 boj boj PROPN eajbcs-826 157 4 , , PUNCT eajbcs-826 157 5 j j PROPN eajbcs-826 157 6 ∈ ∈ PROPN eajbcs-826 157 7 { { PUNCT eajbcs-826 157 8 1 1 NUM eajbcs-826 157 9 , , PUNCT eajbcs-826 157 10 2 2 NUM eajbcs-826 157 11 , , PUNCT eajbcs-826 157 12 3 3 NUM eajbcs-826 157 13 , , PUNCT eajbcs-826 157 14 ... ... PUNCT eajbcs-826 157 15 , , PUNCT eajbcs-826 157 16 n n CCONJ eajbcs-826 157 17 } } PUNCT eajbcs-826 157 18 ( ( PUNCT eajbcs-826 157 19 3.11 3.11 NUM eajbcs-826 157 20 ) ) PUNCT eajbcs-826 157 21 xo xo PROPN eajbcs-826 157 22 ij−xij ij−xij PROPN eajbcs-826 157 23 ≥ ≥ PROPN eajbcs-826 157 24 0 0 NUM eajbcs-826 157 25 , , PUNCT eajbcs-826 157 26 i i PRON eajbcs-826 157 27 ∈ ∈ PROPN eajbcs-826 157 28 { { PUNCT eajbcs-826 157 29 1 1 NUM eajbcs-826 157 30 , , PUNCT eajbcs-826 157 31 2 2 NUM eajbcs-826 157 32 , , PUNCT eajbcs-826 157 33 3 3 NUM eajbcs-826 157 34 , , PUNCT eajbcs-826 157 35 ... ... PUNCT eajbcs-826 157 36 , , PUNCT eajbcs-826 157 37 m m VERB eajbcs-826 157 38 } } PUNCT eajbcs-826 157 39 , , PUNCT eajbcs-826 157 40 j j PROPN eajbcs-826 157 41 ∈ ∈ PROPN eajbcs-826 157 42 { { PUNCT eajbcs-826 157 43 1 1 NUM eajbcs-826 157 44 , , PUNCT eajbcs-826 157 45 2 2 NUM eajbcs-826 157 46 , , PUNCT eajbcs-826 157 47 3 3 NUM eajbcs-826 157 48 , , PUNCT eajbcs-826 157 49 ... ... PUNCT eajbcs-826 157 50 , , PUNCT eajbcs-826 157 51 n n CCONJ eajbcs-826 157 52 } } PUNCT eajbcs-826 157 53 ( ( PUNCT eajbcs-826 157 54 3.12 3.12 NUM eajbcs-826 157 55 ) ) PUNCT eajbcs-826 157 56 xij−xp xij−xp NOUN eajbcs-826 158 1 ij ij X eajbcs-826 158 2 ≥ ≥ NOUN eajbcs-826 158 3 0 0 NUM eajbcs-826 158 4 , , PUNCT eajbcs-826 158 5 i i PRON eajbcs-826 158 6 ∈ ∈ PROPN eajbcs-826 158 7 { { PUNCT eajbcs-826 158 8 1 1 NUM eajbcs-826 158 9 , , PUNCT eajbcs-826 158 10 2 2 NUM eajbcs-826 158 11 , , PUNCT eajbcs-826 158 12 3 3 NUM eajbcs-826 158 13 , , PUNCT eajbcs-826 158 14 ... ... PUNCT eajbcs-826 158 15 , , PUNCT eajbcs-826 158 16 m m VERB eajbcs-826 158 17 } } PUNCT eajbcs-826 158 18 , , PUNCT eajbcs-826 158 19 j j PROPN eajbcs-826 158 20 ∈ ∈ PROPN eajbcs-826 158 21 { { PUNCT eajbcs-826 158 22 1 1 NUM eajbcs-826 158 23 , , PUNCT eajbcs-826 158 24 2 2 NUM eajbcs-826 158 25 , , PUNCT eajbcs-826 158 26 3 3 NUM eajbcs-826 158 27 , , PUNCT eajbcs-826 158 28 ... ... PUNCT eajbcs-826 158 29 , , PUNCT eajbcs-826 158 30 n n CCONJ eajbcs-826 158 31 } } PUNCT eajbcs-826 158 32 ( ( PUNCT eajbcs-826 158 33 3.13 3.13 NUM eajbcs-826 158 34 ) ) PUNCT eajbcs-826 158 35 xp xp INTJ eajbcs-826 159 1 ij ij INTJ eajbcs-826 159 2 ≥ ≥ NOUN eajbcs-826 159 3 0 0 NUM eajbcs-826 159 4 , , PUNCT eajbcs-826 159 5 i i PRON eajbcs-826 159 6 ∈ ∈ PROPN eajbcs-826 159 7 { { PUNCT eajbcs-826 159 8 1 1 NUM eajbcs-826 159 9 , , PUNCT eajbcs-826 159 10 2 2 NUM eajbcs-826 159 11 , , PUNCT eajbcs-826 159 12 3 3 NUM eajbcs-826 159 13 , , PUNCT eajbcs-826 159 14 ... ... PUNCT eajbcs-826 159 15 , , PUNCT eajbcs-826 159 16 m m VERB eajbcs-826 159 17 } } PUNCT eajbcs-826 159 18 , , PUNCT eajbcs-826 159 19 j j PROPN eajbcs-826 159 20 ∈ ∈ PROPN eajbcs-826 159 21 { { PUNCT eajbcs-826 159 22 1 1 NUM eajbcs-826 159 23 , , PUNCT eajbcs-826 159 24 2 2 NUM eajbcs-826 159 25 , , PUNCT eajbcs-826 159 26 3 3 NUM eajbcs-826 159 27 , , PUNCT eajbcs-826 159 28 ... ... PUNCT eajbcs-826 159 29 , , PUNCT eajbcs-826 159 30 n n CCONJ eajbcs-826 159 31 } } PUNCT eajbcs-826 159 32 ( ( PUNCT eajbcs-826 159 33 3.14 3.14 NUM eajbcs-826 159 34 ) ) PUNCT eajbcs-826 159 35 solution solution NOUN eajbcs-826 159 36 procedure procedure NOUN eajbcs-826 159 37 now now ADV eajbcs-826 159 38 we we PRON eajbcs-826 159 39 use use VERB eajbcs-826 159 40 the the DET eajbcs-826 159 41 fuzzy fuzzy ADJ eajbcs-826 159 42 programming programming NOUN eajbcs-826 159 43 programming programming NOUN eajbcs-826 159 44 technique technique NOUN eajbcs-826 159 45 to to PART eajbcs-826 159 46 solve solve VERB eajbcs-826 159 47 the the DET eajbcs-826 159 48 crisp crisp ADJ eajbcs-826 159 49 multiobjective multiobjective ADJ eajbcs-826 159 50 programming programming NOUN eajbcs-826 159 51 problem problem NOUN eajbcs-826 159 52 of of ADP eajbcs-826 159 53 3.5 3.5 NUM eajbcs-826 159 54 to to ADP eajbcs-826 159 55 3.14 3.14 NUM eajbcs-826 159 56 . . PUNCT eajbcs-826 160 1 the the DET eajbcs-826 160 2 solution solution NOUN eajbcs-826 160 3 procedures procedure NOUN eajbcs-826 160 4 based base VERB eajbcs-826 160 5 on on ADP eajbcs-826 160 6 the the DET eajbcs-826 160 7 fuzzy fuzzy ADJ eajbcs-826 160 8 programming programming NOUN eajbcs-826 160 9 method method NOUN eajbcs-826 160 10 is be AUX eajbcs-826 160 11 detailed detail VERB eajbcs-826 160 12 below below ADV eajbcs-826 160 13 . . PUNCT eajbcs-826 161 1 step step NOUN eajbcs-826 161 2 1 1 NUM eajbcs-826 161 3 : : PUNCT eajbcs-826 161 4 find find VERB eajbcs-826 161 5 the the DET eajbcs-826 161 6 ideal ideal ADJ eajbcs-826 161 7 solutions solution NOUN eajbcs-826 161 8 x1 x1 PROPN eajbcs-826 161 9 , , PUNCT eajbcs-826 161 10 x2 x2 PROPN eajbcs-826 161 11 , , PUNCT eajbcs-826 161 12 ... ... PUNCT eajbcs-826 161 13 , , PUNCT eajbcs-826 161 14 xk xk INTJ eajbcs-826 161 15 by by ADP eajbcs-826 161 16 picking pick VERB eajbcs-826 161 17 one one NUM eajbcs-826 161 18 objective objective ADJ eajbcs-826 161 19 function function NOUN eajbcs-826 161 20 at at ADP eajbcs-826 161 21 a a DET eajbcs-826 161 22 time time NOUN eajbcs-826 161 23 and and CCONJ eajbcs-826 161 24 leaving leave VERB eajbcs-826 161 25 the the DET eajbcs-826 161 26 other other ADJ eajbcs-826 161 27 objective objective ADJ eajbcs-826 161 28 functions function NOUN eajbcs-826 161 29 . . PUNCT eajbcs-826 162 1 step step NOUN eajbcs-826 162 2 2 2 NUM eajbcs-826 162 3 : : PUNCT eajbcs-826 162 4 construct construct VERB eajbcs-826 162 5 a a DET eajbcs-826 162 6 pay pay NOUN eajbcs-826 162 7 - - PUNCT eajbcs-826 162 8 matrix matrix NOUN eajbcs-826 162 9 with with ADP eajbcs-826 162 10 the the DET eajbcs-826 162 11 help help NOUN eajbcs-826 162 12 of of ADP eajbcs-826 162 13 individual individual ADJ eajbcs-826 162 14 best good ADJ eajbcs-826 162 15 solutions solution NOUN eajbcs-826 162 16 found find VERB eajbcs-826 162 17 by by ADP eajbcs-826 162 18 the the DET eajbcs-826 162 19 above above ADJ eajbcs-826 162 20 step step NOUN eajbcs-826 162 21 . . PUNCT eajbcs-826 163 1 using use VERB eajbcs-826 163 2 table table NOUN eajbcs-826 163 3 1 1 NUM eajbcs-826 163 4 estimate estimate NOUN eajbcs-826 163 5 the the DET eajbcs-826 163 6 bounds bound NOUN eajbcs-826 163 7 of of ADP eajbcs-826 163 8 zk zk PROPN eajbcs-826 163 9 ( ( PUNCT eajbcs-826 163 10 k=1,2,3 k=1,2,3 PROPN eajbcs-826 163 11 ... ... PUNCT eajbcs-826 163 12 ,k ,k PUNCT eajbcs-826 163 13 ) ) PUNCT eajbcs-826 163 14 from from ADP eajbcs-826 163 15 the the DET eajbcs-826 163 16 payoff payoff NOUN eajbcs-826 163 17 matrix matrix NOUN eajbcs-826 163 18 . . PUNCT eajbcs-826 164 1 step step NOUN eajbcs-826 164 2 3 3 NUM eajbcs-826 164 3 : : PUNCT eajbcs-826 164 4 for for ADP eajbcs-826 164 5 every every DET eajbcs-826 164 6 objective objective ADJ eajbcs-826 164 7 function function NOUN eajbcs-826 164 8 zk zk PROPN eajbcs-826 164 9 ( ( PUNCT eajbcs-826 164 10 k=1,2,3 k=1,2,3 PROPN eajbcs-826 164 11 ... ... PUNCT eajbcs-826 164 12 ,k ,k PUNCT eajbcs-826 164 13 ) ) PUNCT eajbcs-826 164 14 , , PUNCT eajbcs-826 164 15 we we PRON eajbcs-826 164 16 formulate formulate VERB eajbcs-826 164 17 membership membership NOUN eajbcs-826 164 18 function function NOUN eajbcs-826 164 19 using use VERB eajbcs-826 164 20 any any DET eajbcs-826 164 21 one one NUM eajbcs-826 164 22 of of ADP eajbcs-826 164 23 the the DET eajbcs-826 164 24 following follow VERB eajbcs-826 164 25 techniques technique NOUN eajbcs-826 164 26 of of ADP eajbcs-826 164 27 maximization maximization NOUN eajbcs-826 164 28 or or CCONJ eajbcs-826 164 29 minimization minimization NOUN eajbcs-826 164 30 : : PUNCT eajbcs-826 164 31 table table NOUN eajbcs-826 164 32 1 1 NUM eajbcs-826 164 33 : : PUNCT eajbcs-826 164 34 payoff payoff NOUN eajbcs-826 164 35 matrix matrix NOUN eajbcs-826 164 36 z1(x z1(x NUM eajbcs-826 164 37 ) ) PUNCT eajbcs-826 164 38 z2(x z2(x NOUN eajbcs-826 164 39 ) ) PUNCT eajbcs-826 164 40 . . PUNCT eajbcs-826 164 41 . . PUNCT eajbcs-826 165 1 . . PUNCT eajbcs-826 166 1 zk(x zk(x X eajbcs-826 166 2 ) ) PUNCT eajbcs-826 166 3 x(1 x(1 PROPN eajbcs-826 167 1 ) ) PUNCT eajbcs-826 167 2 z1(x z1(x NUM eajbcs-826 167 3 ( ( PUNCT eajbcs-826 167 4 1 1 NUM eajbcs-826 167 5 ) ) PUNCT eajbcs-826 167 6 ) ) PUNCT eajbcs-826 168 1 z2(x z2(x X eajbcs-826 168 2 ( ( PUNCT eajbcs-826 168 3 1 1 NUM eajbcs-826 168 4 ) ) PUNCT eajbcs-826 168 5 ) ) PUNCT eajbcs-826 168 6 . . PUNCT eajbcs-826 168 7 . . PUNCT eajbcs-826 169 1 . . PUNCT eajbcs-826 170 1 zk(x zk(x NUM eajbcs-826 170 2 ( ( PUNCT eajbcs-826 170 3 1 1 NUM eajbcs-826 170 4 ) ) PUNCT eajbcs-826 170 5 ) ) PUNCT eajbcs-826 171 1 x(2 x(2 PROPN eajbcs-826 171 2 ) ) PUNCT eajbcs-826 171 3 z1(x z1(x NUM eajbcs-826 171 4 ( ( PUNCT eajbcs-826 171 5 2 2 NUM eajbcs-826 171 6 ) ) PUNCT eajbcs-826 171 7 ) ) PUNCT eajbcs-826 172 1 z2(x z2(x PROPN eajbcs-826 172 2 ( ( PUNCT eajbcs-826 172 3 2 2 NUM eajbcs-826 172 4 ) ) PUNCT eajbcs-826 172 5 ) ) PUNCT eajbcs-826 172 6 . . PUNCT eajbcs-826 172 7 . . PUNCT eajbcs-826 173 1 . . PUNCT eajbcs-826 174 1 zk(x zk(x NUM eajbcs-826 174 2 ( ( PUNCT eajbcs-826 174 3 2 2 NUM eajbcs-826 174 4 ) ) PUNCT eajbcs-826 174 5 ) ) PUNCT eajbcs-826 174 6 . . PUNCT eajbcs-826 174 7 . . PUNCT eajbcs-826 174 8 . . PUNCT eajbcs-826 174 9 . . PUNCT eajbcs-826 174 10 . . PUNCT eajbcs-826 174 11 . . PUNCT eajbcs-826 174 12 . . PUNCT eajbcs-826 174 13 . . PUNCT eajbcs-826 174 14 . . PUNCT eajbcs-826 174 15 . . PUNCT eajbcs-826 174 16 . . PUNCT eajbcs-826 174 17 . . PUNCT eajbcs-826 174 18 . . PUNCT eajbcs-826 174 19 . . PUNCT eajbcs-826 174 20 . . PUNCT eajbcs-826 174 21 . . PUNCT eajbcs-826 174 22 . . PUNCT eajbcs-826 174 23 . . PUNCT eajbcs-826 174 24 . . PUNCT eajbcs-826 174 25 . . PUNCT eajbcs-826 174 26 . . PUNCT eajbcs-826 175 1 x(k x(k X eajbcs-826 175 2 ) ) PUNCT eajbcs-826 175 3 z1(x z1(x NUM eajbcs-826 175 4 ( ( PUNCT eajbcs-826 175 5 k k NOUN eajbcs-826 175 6 ) ) PUNCT eajbcs-826 175 7 ) ) PUNCT eajbcs-826 176 1 z2(x z2(x PROPN eajbcs-826 176 2 ( ( PUNCT eajbcs-826 176 3 k k NOUN eajbcs-826 176 4 ) ) PUNCT eajbcs-826 176 5 ) ) PUNCT eajbcs-826 176 6 . . PUNCT eajbcs-826 176 7 . . PUNCT eajbcs-826 177 1 . . PUNCT eajbcs-826 178 1 .zk(x .zk(x PUNCT eajbcs-826 179 1 ( ( PUNCT eajbcs-826 179 2 k k NOUN eajbcs-826 179 3 ) ) PUNCT eajbcs-826 179 4 ) ) PUNCT eajbcs-826 179 5 step step NOUN eajbcs-826 179 6 4 4 NUM eajbcs-826 179 7 case case NOUN eajbcs-826 179 8 1 1 NUM eajbcs-826 179 9 : : PUNCT eajbcs-826 179 10 membership membership NOUN eajbcs-826 179 11 function function NOUN eajbcs-826 179 12 is be AUX eajbcs-826 179 13 formulated formulate VERB eajbcs-826 179 14 in in ADP eajbcs-826 179 15 the the DET eajbcs-826 179 16 case case NOUN eajbcs-826 179 17 of of ADP eajbcs-826 179 18 maximization maximization NOUN eajbcs-826 179 19 problem problem NOUN eajbcs-826 179 20 as as ADP eajbcs-826 179 21 : : PUNCT eajbcs-826 179 22 µzk(x µzk(x PROPN eajbcs-826 179 23 ) ) PUNCT eajbcs-826 179 24 = = SYM eajbcs-826 180 1   X eajbcs-826 180 2 0 0 NUM eajbcs-826 180 3 , , PUNCT eajbcs-826 180 4 if if SCONJ eajbcs-826 180 5 zk zk PROPN eajbcs-826 180 6 ≤ ≤ X eajbcs-826 181 1 lb−k lb−k PROPN eajbcs-826 181 2 zk−lb−k zk−lb−k PROPN eajbcs-826 181 3 ub∗−lb−k ub∗−lb−k PROPN eajbcs-826 181 4 , , PUNCT eajbcs-826 181 5 if if SCONJ eajbcs-826 181 6 lb−k lb−k PROPN eajbcs-826 181 7 ≤ ≤ PUNCT eajbcs-826 181 8 zk zk PROPN eajbcs-826 181 9 ≤ ≤ PROPN eajbcs-826 181 10 ub∗k ub∗k PROPN eajbcs-826 181 11 1 1 NUM eajbcs-826 181 12 , , PUNCT eajbcs-826 181 13 if if SCONJ eajbcs-826 181 14 zk zk PROPN eajbcs-826 181 15 ≥ ≥ X eajbcs-826 181 16 ub∗k ub∗k PROPN eajbcs-826 181 17 where where SCONJ eajbcs-826 181 18 lb−k lb−k PROPN eajbcs-826 181 19 denotes denote VERB eajbcs-826 181 20 the the DET eajbcs-826 181 21 worst worst ADV eajbcs-826 181 22 lower low ADJ eajbcs-826 181 23 bound bind VERB eajbcs-826 181 24 of of ADP eajbcs-826 181 25 zk zk PROPN eajbcs-826 181 26 and and CCONJ eajbcs-826 181 27 ub∗k ub∗k PROPN eajbcs-826 181 28 denotes denote VERB eajbcs-826 181 29 the the DET eajbcs-826 181 30 best well ADV eajbcs-826 181 31 upper upper ADJ eajbcs-826 181 32 bound bind VERB eajbcs-826 181 33 of of ADP eajbcs-826 181 34 zk zk PROPN eajbcs-826 181 35 case case NOUN eajbcs-826 181 36 2 2 NUM eajbcs-826 181 37 : : PUNCT eajbcs-826 181 38 for for ADP eajbcs-826 181 39 minimization minimization NOUN eajbcs-826 181 40 problem problem NOUN eajbcs-826 181 41 the the DET eajbcs-826 181 42 membership membership NOUN eajbcs-826 181 43 function function NOUN eajbcs-826 181 44 is be AUX eajbcs-826 181 45 formulated formulate VERB eajbcs-826 181 46 as as ADP eajbcs-826 181 47 : : PUNCT eajbcs-826 181 48 µzk(x µzk(x PROPN eajbcs-826 181 49 ) ) PUNCT eajbcs-826 182 1 = = SYM eajbcs-826 182 2   NOUN eajbcs-826 182 3 0 0 NUM eajbcs-826 182 4 , , PUNCT eajbcs-826 182 5 if if SCONJ eajbcs-826 182 6 zk zk PROPN eajbcs-826 182 7 ≥ ≥ AUX eajbcs-826 182 8 ub−k ub−k PROPN eajbcs-826 182 9 ub−−zk ub−−zk ADV eajbcs-826 182 10 ub−−lb∗k ub−−lb∗k VERB eajbcs-826 182 11 , , PUNCT eajbcs-826 182 12 if if SCONJ eajbcs-826 182 13 lb∗k lb∗k VERB eajbcs-826 182 14 ≤ ≤ NUM eajbcs-826 182 15 zk zk PROPN eajbcs-826 182 16 ≤ ≤ PROPN eajbcs-826 182 17 ub−k ub−k PROPN eajbcs-826 182 18 1 1 NUM eajbcs-826 182 19 , , PUNCT eajbcs-826 182 20 if if SCONJ eajbcs-826 182 21 zk zk PROPN eajbcs-826 182 22 ≤ ≤ X eajbcs-826 182 23 lb∗k lb∗k VERB eajbcs-826 182 24 where where SCONJ eajbcs-826 182 25 ub−k ub−k NOUN eajbcs-826 182 26 denotes denote VERB eajbcs-826 182 27 the the DET eajbcs-826 182 28 worst bad ADJ eajbcs-826 182 29 upper upper ADJ eajbcs-826 182 30 bound bind VERB eajbcs-826 182 31 of of ADP eajbcs-826 182 32 zk zk PROPN eajbcs-826 182 33 and and CCONJ eajbcs-826 182 34 lb∗k lb∗k VERB eajbcs-826 182 35 denotes denote NOUN eajbcs-826 182 36 best well ADV eajbcs-826 182 37 lower lower ADV eajbcs-826 182 38 bound bind VERB eajbcs-826 182 39 of of ADP eajbcs-826 182 40 zk zk PROPN eajbcs-826 182 41 . . PUNCT eajbcs-826 182 42 case case NOUN eajbcs-826 182 43 1 1 NUM eajbcs-826 182 44 : : PUNCT eajbcs-826 182 45 apply apply VERB eajbcs-826 182 46 the the DET eajbcs-826 182 47 augmented augment VERB eajbcs-826 182 48 variable variable NOUN eajbcs-826 182 49 , , PUNCT eajbcs-826 182 50 λ λ PROPN eajbcs-826 182 51 with with ADP eajbcs-826 182 52 max max PROPN eajbcs-826 182 53 - - PUNCT eajbcs-826 182 54 min min NOUN eajbcs-826 182 55 operator operator NOUN eajbcs-826 182 56 to to PART eajbcs-826 182 57 formulate formulate VERB eajbcs-826 182 58 a a DET eajbcs-826 182 59 crisp crisp ADJ eajbcs-826 182 60 single single ADJ eajbcs-826 182 61 objective objective ADJ eajbcs-826 182 62 mixed mixed ADJ eajbcs-826 182 63 integer integer NOUN eajbcs-826 182 64 programming programming NOUN eajbcs-826 182 65 problem problem NOUN eajbcs-826 182 66 as as ADP eajbcs-826 182 67 : : PUNCT eajbcs-826 182 68 max max NOUN eajbcs-826 182 69 : : PUNCT eajbcs-826 182 70 λ λ X eajbcs-826 182 71 ( ( PUNCT eajbcs-826 182 72 3.15 3.15 NUM eajbcs-826 182 73 ) ) PUNCT eajbcs-826 182 74 subject subject NOUN eajbcs-826 182 75 to to ADP eajbcs-826 182 76 µzk(x µzk(x PROPN eajbcs-826 182 77 ) ) PUNCT eajbcs-826 182 78 ≥ ≥ NOUN eajbcs-826 182 79 λ λ NOUN eajbcs-826 182 80 , , PUNCT eajbcs-826 182 81 k k NOUN eajbcs-826 182 82 = = SYM eajbcs-826 182 83 1 1 NUM eajbcs-826 182 84 , , PUNCT eajbcs-826 182 85 2 2 NUM eajbcs-826 182 86 , , PUNCT eajbcs-826 182 87 ... ... PUNCT eajbcs-826 183 1 k k X eajbcs-826 183 2 ( ( PUNCT eajbcs-826 183 3 3.16 3.16 NUM eajbcs-826 183 4 ) ) PUNCT eajbcs-826 183 5 n∑ n∑ NOUN eajbcs-826 184 1 j=1 j=1 NOUN eajbcs-826 185 1 xp xp INTJ eajbcs-826 186 1 ij ij INTJ eajbcs-826 187 1 = = NOUN eajbcs-826 187 2 api api NOUN eajbcs-826 187 3 , , PUNCT eajbcs-826 187 4 i i PRON eajbcs-826 187 5 ∈ ∈ PROPN eajbcs-826 187 6 { { PUNCT eajbcs-826 187 7 1 1 NUM eajbcs-826 187 8 , , PUNCT eajbcs-826 187 9 2 2 NUM eajbcs-826 187 10 , , PUNCT eajbcs-826 187 11 3 3 NUM eajbcs-826 187 12 , , PUNCT eajbcs-826 187 13 ... ... PUNCT eajbcs-826 187 14 , , PUNCT eajbcs-826 187 15 m m VERB eajbcs-826 187 16 } } PUNCT eajbcs-826 187 17 ( ( PUNCT eajbcs-826 187 18 3.17 3.17 NUM eajbcs-826 187 19 ) ) PUNCT eajbcs-826 187 20 east east PROPN eajbcs-826 187 21 afr afr PROPN eajbcs-826 187 22 . . PUNCT eajbcs-826 188 1 j. j. PROPN eajbcs-826 188 2 biophys biophys PROPN eajbcs-826 188 3 . . PUNCT eajbcs-826 189 1 comput comput NOUN eajbcs-826 189 2 . . PUNCT eajbcs-826 190 1 sci sci PROPN eajbcs-826 190 2 . . PUNCT eajbcs-826 190 3 ( ( PUNCT eajbcs-826 190 4 2023 2023 NUM eajbcs-826 190 5 ) ) PUNCT eajbcs-826 190 6 , , PUNCT eajbcs-826 190 7 vol vol NOUN eajbcs-826 190 8 . . PROPN eajbcs-826 190 9 4 4 NUM eajbcs-826 190 10 , , PUNCT eajbcs-826 190 11 issue issue NOUN eajbcs-826 190 12 . . PUNCT eajbcs-826 191 1 2 2 NUM eajbcs-826 191 2 , , PUNCT eajbcs-826 191 3 43 43 NUM eajbcs-826 191 4 - - SYM eajbcs-826 191 5 53 53 NUM eajbcs-826 191 6 47 47 NUM eajbcs-826 191 7 n∑ n∑ NOUN eajbcs-826 191 8 j=1 j=1 NOUN eajbcs-826 191 9 xij xij PROPN eajbcs-826 192 1 = = PUNCT eajbcs-826 192 2 ai ai VERB eajbcs-826 192 3 , , PUNCT eajbcs-826 192 4 i i PRON eajbcs-826 192 5 ∈ ∈ PROPN eajbcs-826 192 6 { { PUNCT eajbcs-826 192 7 1 1 NUM eajbcs-826 192 8 , , PUNCT eajbcs-826 192 9 2 2 NUM eajbcs-826 192 10 , , PUNCT eajbcs-826 192 11 3 3 NUM eajbcs-826 192 12 , , PUNCT eajbcs-826 192 13 ... ... PUNCT eajbcs-826 192 14 , , PUNCT eajbcs-826 192 15 m m VERB eajbcs-826 192 16 } } PUNCT eajbcs-826 192 17 ( ( PUNCT eajbcs-826 192 18 3.18 3.18 NUM eajbcs-826 192 19 ) ) PUNCT eajbcs-826 192 20 n∑ n∑ NOUN eajbcs-826 193 1 j=1 j=1 PROPN eajbcs-826 193 2 xo xo PROPN eajbcs-826 194 1 ij ij INTJ eajbcs-826 194 2 = = NOUN eajbcs-826 194 3 aoi aoi PROPN eajbcs-826 194 4 , , PUNCT eajbcs-826 194 5 i i PRON eajbcs-826 194 6 ∈ ∈ PROPN eajbcs-826 194 7 { { PUNCT eajbcs-826 194 8 1 1 NUM eajbcs-826 194 9 , , PUNCT eajbcs-826 194 10 2 2 NUM eajbcs-826 194 11 , , PUNCT eajbcs-826 194 12 3 3 NUM eajbcs-826 194 13 , , PUNCT eajbcs-826 194 14 ... ... PUNCT eajbcs-826 194 15 , , PUNCT eajbcs-826 194 16 m m VERB eajbcs-826 194 17 } } PUNCT eajbcs-826 194 18 ( ( PUNCT eajbcs-826 194 19 3.19 3.19 NUM eajbcs-826 194 20 ) ) PUNCT eajbcs-826 194 21 m∑ m∑ VERB eajbcs-826 195 1 i=1 i=1 PROPN eajbcs-826 196 1 xp xp INTJ eajbcs-826 197 1 ij ij INTJ eajbcs-826 197 2 = = NOUN eajbcs-826 197 3 bpj bpj X eajbcs-826 197 4 , , PUNCT eajbcs-826 197 5 j j PROPN eajbcs-826 197 6 ∈ ∈ PROPN eajbcs-826 197 7 { { PUNCT eajbcs-826 197 8 1 1 NUM eajbcs-826 197 9 , , PUNCT eajbcs-826 197 10 2 2 NUM eajbcs-826 197 11 , , PUNCT eajbcs-826 197 12 3 3 NUM eajbcs-826 197 13 , , PUNCT eajbcs-826 197 14 ... ... PUNCT eajbcs-826 197 15 , , PUNCT eajbcs-826 197 16 n n CCONJ eajbcs-826 197 17 } } PUNCT eajbcs-826 197 18 ( ( PUNCT eajbcs-826 197 19 3.20 3.20 NUM eajbcs-826 197 20 ) ) PUNCT eajbcs-826 197 21 m∑ m∑ CCONJ eajbcs-826 197 22 i=1 i=1 PROPN eajbcs-826 197 23 xij xij PROPN eajbcs-826 198 1 = = PUNCT eajbcs-826 198 2 bj bj PROPN eajbcs-826 198 3 , , PUNCT eajbcs-826 198 4 j j PROPN eajbcs-826 198 5 ∈ ∈ PROPN eajbcs-826 198 6 { { PUNCT eajbcs-826 198 7 1 1 NUM eajbcs-826 198 8 , , PUNCT eajbcs-826 198 9 2 2 NUM eajbcs-826 198 10 , , PUNCT eajbcs-826 198 11 3 3 NUM eajbcs-826 198 12 , , PUNCT eajbcs-826 198 13 ... ... PUNCT eajbcs-826 198 14 , , PUNCT eajbcs-826 198 15 n n CCONJ eajbcs-826 198 16 } } PUNCT eajbcs-826 198 17 ( ( PUNCT eajbcs-826 198 18 3.21 3.21 NUM eajbcs-826 198 19 ) ) PUNCT eajbcs-826 198 20 m∑ m∑ CCONJ eajbcs-826 198 21 i=1 i=1 PROPN eajbcs-826 198 22 xo xo PROPN eajbcs-826 199 1 ij ij INTJ eajbcs-826 199 2 = = PROPN eajbcs-826 199 3 boj boj PROPN eajbcs-826 199 4 , , PUNCT eajbcs-826 199 5 j j PROPN eajbcs-826 199 6 ∈ ∈ PROPN eajbcs-826 199 7 { { PUNCT eajbcs-826 199 8 1 1 NUM eajbcs-826 199 9 , , PUNCT eajbcs-826 199 10 2 2 NUM eajbcs-826 199 11 , , PUNCT eajbcs-826 199 12 3 3 NUM eajbcs-826 199 13 , , PUNCT eajbcs-826 199 14 ... ... PUNCT eajbcs-826 199 15 , , PUNCT eajbcs-826 199 16 n n CCONJ eajbcs-826 199 17 } } PUNCT eajbcs-826 199 18 ( ( PUNCT eajbcs-826 199 19 3.22 3.22 NUM eajbcs-826 199 20 ) ) PUNCT eajbcs-826 199 21 xo xo PROPN eajbcs-826 200 1 ij−xij ij−xij PROPN eajbcs-826 200 2 ≥ ≥ PROPN eajbcs-826 200 3 0 0 NUM eajbcs-826 200 4 , , PUNCT eajbcs-826 200 5 i i PRON eajbcs-826 200 6 ∈ ∈ PROPN eajbcs-826 200 7 { { PUNCT eajbcs-826 200 8 1 1 NUM eajbcs-826 200 9 , , PUNCT eajbcs-826 200 10 2 2 NUM eajbcs-826 200 11 , , PUNCT eajbcs-826 200 12 3 3 NUM eajbcs-826 200 13 , , PUNCT eajbcs-826 200 14 ... ... PUNCT eajbcs-826 200 15 , , PUNCT eajbcs-826 200 16 m m VERB eajbcs-826 200 17 } } PUNCT eajbcs-826 200 18 , , PUNCT eajbcs-826 200 19 j j PROPN eajbcs-826 200 20 ∈ ∈ PROPN eajbcs-826 200 21 { { PUNCT eajbcs-826 200 22 1 1 NUM eajbcs-826 200 23 , , PUNCT eajbcs-826 200 24 2 2 NUM eajbcs-826 200 25 , , PUNCT eajbcs-826 200 26 3 3 NUM eajbcs-826 200 27 , , PUNCT eajbcs-826 200 28 ... ... PUNCT eajbcs-826 200 29 , , PUNCT eajbcs-826 200 30 n n CCONJ eajbcs-826 200 31 } } PUNCT eajbcs-826 200 32 ( ( PUNCT eajbcs-826 200 33 3.23 3.23 NUM eajbcs-826 200 34 ) ) PUNCT eajbcs-826 200 35 xij−xp xij−xp NOUN eajbcs-826 201 1 ij ij X eajbcs-826 201 2 ≥ ≥ NOUN eajbcs-826 201 3 0 0 NUM eajbcs-826 201 4 , , PUNCT eajbcs-826 201 5 i i PRON eajbcs-826 201 6 ∈ ∈ PROPN eajbcs-826 201 7 { { PUNCT eajbcs-826 201 8 1 1 NUM eajbcs-826 201 9 , , PUNCT eajbcs-826 201 10 2 2 NUM eajbcs-826 201 11 , , PUNCT eajbcs-826 201 12 3 3 NUM eajbcs-826 201 13 , , PUNCT eajbcs-826 201 14 ... ... PUNCT eajbcs-826 201 15 , , PUNCT eajbcs-826 201 16 m m VERB eajbcs-826 201 17 } } PUNCT eajbcs-826 201 18 , , PUNCT eajbcs-826 201 19 j j PROPN eajbcs-826 201 20 ∈ ∈ PROPN eajbcs-826 201 21 { { PUNCT eajbcs-826 201 22 1 1 NUM eajbcs-826 201 23 , , PUNCT eajbcs-826 201 24 2 2 NUM eajbcs-826 201 25 , , PUNCT eajbcs-826 201 26 3 3 NUM eajbcs-826 201 27 , , PUNCT eajbcs-826 201 28 ... ... PUNCT eajbcs-826 201 29 , , PUNCT eajbcs-826 201 30 n n CCONJ eajbcs-826 201 31 } } PUNCT eajbcs-826 201 32 ( ( PUNCT eajbcs-826 201 33 3.24 3.24 NUM eajbcs-826 201 34 ) ) PUNCT eajbcs-826 201 35 xp xp INTJ eajbcs-826 202 1 ij ij INTJ eajbcs-826 202 2 ≥ ≥ NOUN eajbcs-826 202 3 0 0 NUM eajbcs-826 202 4 , , PUNCT eajbcs-826 202 5 i i PRON eajbcs-826 202 6 ∈ ∈ PROPN eajbcs-826 202 7 { { PUNCT eajbcs-826 202 8 1 1 NUM eajbcs-826 202 9 , , PUNCT eajbcs-826 202 10 2 2 NUM eajbcs-826 202 11 , , PUNCT eajbcs-826 202 12 3 3 NUM eajbcs-826 202 13 , , PUNCT eajbcs-826 202 14 ... ... PUNCT eajbcs-826 202 15 , , PUNCT eajbcs-826 202 16 m m VERB eajbcs-826 202 17 } } PUNCT eajbcs-826 202 18 , , PUNCT eajbcs-826 202 19 j j PROPN eajbcs-826 202 20 ∈ ∈ PROPN eajbcs-826 202 21 { { PUNCT eajbcs-826 202 22 1 1 NUM eajbcs-826 202 23 , , PUNCT eajbcs-826 202 24 2 2 NUM eajbcs-826 202 25 , , PUNCT eajbcs-826 202 26 3 3 NUM eajbcs-826 202 27 , , PUNCT eajbcs-826 202 28 ... ... PUNCT eajbcs-826 202 29 , , PUNCT eajbcs-826 202 30 n n CCONJ eajbcs-826 202 31 } } PUNCT eajbcs-826 202 32 ( ( PUNCT eajbcs-826 202 33 3.25 3.25 NUM eajbcs-826 202 34 ) ) PUNCT eajbcs-826 202 35 0 0 NUM eajbcs-826 203 1 ≤ ≤ NUM eajbcs-826 203 2 λ λ X eajbcs-826 203 3 ≤ ≤ NOUN eajbcs-826 203 4 1 1 NUM eajbcs-826 203 5 ( ( PUNCT eajbcs-826 203 6 3.26 3.26 NUM eajbcs-826 203 7 ) ) PUNCT eajbcs-826 203 8 case case NOUN eajbcs-826 203 9 2 2 NUM eajbcs-826 203 10 : : PUNCT eajbcs-826 203 11 apply apply VERB eajbcs-826 203 12 the the DET eajbcs-826 203 13 augmented augment VERB eajbcs-826 203 14 variable variable NOUN eajbcs-826 203 15 , , PUNCT eajbcs-826 203 16 λ λ PROPN eajbcs-826 203 17 with with ADP eajbcs-826 203 18 min min ADJ eajbcs-826 203 19 - - ADJ eajbcs-826 203 20 max max PROPN eajbcs-826 203 21 operator operator NOUN eajbcs-826 203 22 to to PART eajbcs-826 203 23 formulate formulate VERB eajbcs-826 203 24 a a DET eajbcs-826 203 25 crisp crisp ADJ eajbcs-826 203 26 single single ADJ eajbcs-826 203 27 objective objective ADJ eajbcs-826 203 28 mixed mixed ADJ eajbcs-826 203 29 integer integer NOUN eajbcs-826 203 30 programming programming NOUN eajbcs-826 203 31 problem problem NOUN eajbcs-826 203 32 as as ADP eajbcs-826 203 33 : : PUNCT eajbcs-826 203 34 min min NOUN eajbcs-826 203 35 : : PUNCT eajbcs-826 203 36 λ λ X eajbcs-826 203 37 ( ( PUNCT eajbcs-826 203 38 3.27 3.27 NUM eajbcs-826 203 39 ) ) PUNCT eajbcs-826 203 40 subject subject NOUN eajbcs-826 203 41 to to ADP eajbcs-826 203 42 µzk(x µzk(x PROPN eajbcs-826 203 43 ) ) PUNCT eajbcs-826 203 44 ≤ ≤ PROPN eajbcs-826 203 45 λ λ PROPN eajbcs-826 203 46 , , PUNCT eajbcs-826 203 47 k k PROPN eajbcs-826 203 48 ∈ ∈ PROPN eajbcs-826 203 49 { { PUNCT eajbcs-826 203 50 1 1 NUM eajbcs-826 203 51 , , PUNCT eajbcs-826 203 52 2 2 NUM eajbcs-826 203 53 , , PUNCT eajbcs-826 203 54 3 3 NUM eajbcs-826 203 55 , , PUNCT eajbcs-826 203 56 .... .... PUNCT eajbcs-826 204 1 k k X eajbcs-826 204 2 } } PUNCT eajbcs-826 204 3 ( ( PUNCT eajbcs-826 204 4 3.28 3.28 NUM eajbcs-826 204 5 ) ) PUNCT eajbcs-826 204 6 n∑ n∑ NOUN eajbcs-826 204 7 j=1 j=1 NOUN eajbcs-826 204 8 xp xp INTJ eajbcs-826 205 1 ij ij INTJ eajbcs-826 205 2 = = NOUN eajbcs-826 205 3 api api NOUN eajbcs-826 205 4 , , PUNCT eajbcs-826 205 5 i i PRON eajbcs-826 205 6 ∈ ∈ PROPN eajbcs-826 205 7 { { PUNCT eajbcs-826 205 8 1 1 NUM eajbcs-826 205 9 , , PUNCT eajbcs-826 205 10 2 2 NUM eajbcs-826 205 11 , , PUNCT eajbcs-826 205 12 3 3 NUM eajbcs-826 205 13 ... ... SYM eajbcs-826 205 14 m m VERB eajbcs-826 205 15 } } PUNCT eajbcs-826 205 16 ( ( PUNCT eajbcs-826 205 17 3.29 3.29 NUM eajbcs-826 205 18 ) ) PUNCT eajbcs-826 205 19 n∑ n∑ NOUN eajbcs-826 206 1 j=1 j=1 NOUN eajbcs-826 206 2 xij xij PROPN eajbcs-826 207 1 = = PUNCT eajbcs-826 207 2 ai ai VERB eajbcs-826 207 3 , , PUNCT eajbcs-826 207 4 i i PRON eajbcs-826 207 5 ∈ ∈ PROPN eajbcs-826 207 6 { { PUNCT eajbcs-826 207 7 1 1 NUM eajbcs-826 207 8 , , PUNCT eajbcs-826 207 9 2 2 NUM eajbcs-826 207 10 , , PUNCT eajbcs-826 207 11 3 3 NUM eajbcs-826 207 12 ... ... SYM eajbcs-826 207 13 m m VERB eajbcs-826 207 14 } } PUNCT eajbcs-826 207 15 ( ( PUNCT eajbcs-826 207 16 3.30 3.30 NUM eajbcs-826 207 17 ) ) PUNCT eajbcs-826 207 18 n∑ n∑ NOUN eajbcs-826 208 1 j=1 j=1 PROPN eajbcs-826 208 2 xo xo PROPN eajbcs-826 209 1 ij ij INTJ eajbcs-826 209 2 = = NOUN eajbcs-826 209 3 aoi aoi PROPN eajbcs-826 209 4 , , PUNCT eajbcs-826 209 5 i i PRON eajbcs-826 209 6 ∈ ∈ PROPN eajbcs-826 209 7 { { PUNCT eajbcs-826 209 8 1 1 NUM eajbcs-826 209 9 , , PUNCT eajbcs-826 209 10 2 2 NUM eajbcs-826 209 11 , , PUNCT eajbcs-826 209 12 3 3 NUM eajbcs-826 209 13 ... ... SYM eajbcs-826 209 14 m m VERB eajbcs-826 209 15 } } PUNCT eajbcs-826 209 16 ( ( PUNCT eajbcs-826 209 17 3.31 3.31 NUM eajbcs-826 209 18 ) ) PUNCT eajbcs-826 209 19 m∑ m∑ VERB eajbcs-826 210 1 i=1 i=1 PROPN eajbcs-826 211 1 xp xp INTJ eajbcs-826 212 1 ij ij INTJ eajbcs-826 212 2 = = NOUN eajbcs-826 212 3 bpj bpj X eajbcs-826 212 4 , , PUNCT eajbcs-826 212 5 j j PROPN eajbcs-826 212 6 ∈ ∈ PROPN eajbcs-826 212 7 { { PUNCT eajbcs-826 212 8 1 1 NUM eajbcs-826 212 9 , , PUNCT eajbcs-826 212 10 2 2 NUM eajbcs-826 212 11 , , PUNCT eajbcs-826 212 12 3 3 NUM eajbcs-826 212 13 ... ... SYM eajbcs-826 212 14 n n CCONJ eajbcs-826 212 15 } } PUNCT eajbcs-826 212 16 ( ( PUNCT eajbcs-826 212 17 3.32 3.32 NUM eajbcs-826 212 18 ) ) PUNCT eajbcs-826 212 19 m∑ m∑ CCONJ eajbcs-826 212 20 i=1 i=1 PROPN eajbcs-826 212 21 xij xij PROPN eajbcs-826 213 1 = = PUNCT eajbcs-826 213 2 bj bj PROPN eajbcs-826 213 3 , , PUNCT eajbcs-826 213 4 j j PROPN eajbcs-826 213 5 ∈ ∈ PROPN eajbcs-826 213 6 { { PUNCT eajbcs-826 213 7 1 1 NUM eajbcs-826 213 8 , , PUNCT eajbcs-826 213 9 2 2 NUM eajbcs-826 213 10 , , PUNCT eajbcs-826 213 11 3 3 NUM eajbcs-826 213 12 ... ... SYM eajbcs-826 213 13 n n CCONJ eajbcs-826 213 14 } } PUNCT eajbcs-826 213 15 ( ( PUNCT eajbcs-826 213 16 3.33 3.33 NUM eajbcs-826 213 17 ) ) PUNCT eajbcs-826 213 18 m∑ m∑ CCONJ eajbcs-826 213 19 i=1 i=1 PROPN eajbcs-826 213 20 xo xo PROPN eajbcs-826 214 1 ij ij INTJ eajbcs-826 214 2 = = PROPN eajbcs-826 214 3 boj boj PROPN eajbcs-826 214 4 , , PUNCT eajbcs-826 214 5 j j PROPN eajbcs-826 214 6 ∈ ∈ PROPN eajbcs-826 214 7 { { PUNCT eajbcs-826 214 8 1 1 NUM eajbcs-826 214 9 , , PUNCT eajbcs-826 214 10 2 2 NUM eajbcs-826 214 11 , , PUNCT eajbcs-826 214 12 3 3 NUM eajbcs-826 214 13 ... ... SYM eajbcs-826 214 14 n n CCONJ eajbcs-826 214 15 } } PUNCT eajbcs-826 214 16 ( ( PUNCT eajbcs-826 214 17 3.34 3.34 NUM eajbcs-826 214 18 ) ) PUNCT eajbcs-826 214 19 xo xo PROPN eajbcs-826 215 1 ij−xij ij−xij PROPN eajbcs-826 215 2 ≥ ≥ PROPN eajbcs-826 215 3 0 0 NUM eajbcs-826 215 4 , , PUNCT eajbcs-826 215 5 i i PRON eajbcs-826 215 6 ∈ ∈ PROPN eajbcs-826 215 7 { { PUNCT eajbcs-826 215 8 1 1 NUM eajbcs-826 215 9 , , PUNCT eajbcs-826 215 10 2 2 NUM eajbcs-826 215 11 , , PUNCT eajbcs-826 215 12 3 3 NUM eajbcs-826 215 13 ... ... SYM eajbcs-826 215 14 m m NUM eajbcs-826 215 15 } } PUNCT eajbcs-826 215 16 ; ; PUNCT eajbcs-826 215 17 j j PROPN eajbcs-826 215 18 ∈ ∈ PROPN eajbcs-826 215 19 { { PUNCT eajbcs-826 215 20 1 1 NUM eajbcs-826 215 21 , , PUNCT eajbcs-826 215 22 2 2 NUM eajbcs-826 215 23 , , PUNCT eajbcs-826 215 24 3 3 NUM eajbcs-826 215 25 ... ... SYM eajbcs-826 215 26 n n CCONJ eajbcs-826 215 27 } } PUNCT eajbcs-826 215 28 ( ( PUNCT eajbcs-826 215 29 3.35 3.35 NUM eajbcs-826 215 30 ) ) PUNCT eajbcs-826 215 31 xij−xp xij−xp NOUN eajbcs-826 216 1 ij ij X eajbcs-826 216 2 ≥ ≥ NOUN eajbcs-826 216 3 0 0 NUM eajbcs-826 216 4 , , PUNCT eajbcs-826 216 5 i i PRON eajbcs-826 216 6 ∈ ∈ PROPN eajbcs-826 216 7 { { PUNCT eajbcs-826 216 8 1 1 NUM eajbcs-826 216 9 , , PUNCT eajbcs-826 216 10 2 2 NUM eajbcs-826 216 11 , , PUNCT eajbcs-826 216 12 3 3 NUM eajbcs-826 216 13 ... ... SYM eajbcs-826 216 14 m m NUM eajbcs-826 216 15 } } PUNCT eajbcs-826 216 16 ; ; PUNCT eajbcs-826 216 17 j j PROPN eajbcs-826 216 18 ∈ ∈ PROPN eajbcs-826 216 19 { { PUNCT eajbcs-826 216 20 1 1 NUM eajbcs-826 216 21 , , PUNCT eajbcs-826 216 22 2 2 NUM eajbcs-826 216 23 , , PUNCT eajbcs-826 216 24 3 3 NUM eajbcs-826 216 25 ... ... SYM eajbcs-826 216 26 n n CCONJ eajbcs-826 216 27 } } PUNCT eajbcs-826 216 28 ( ( PUNCT eajbcs-826 216 29 3.36 3.36 NUM eajbcs-826 216 30 ) ) PUNCT eajbcs-826 216 31 xp xp NOUN eajbcs-826 216 32 ij ij INTJ eajbcs-826 216 33 ≥ ≥ NOUN eajbcs-826 216 34 0 0 NUM eajbcs-826 216 35 , , PUNCT eajbcs-826 216 36 i i PRON eajbcs-826 216 37 ∈ ∈ PROPN eajbcs-826 216 38 { { PUNCT eajbcs-826 216 39 1 1 NUM eajbcs-826 216 40 , , PUNCT eajbcs-826 216 41 2 2 NUM eajbcs-826 216 42 , , PUNCT eajbcs-826 216 43 3 3 NUM eajbcs-826 216 44 ... ... SYM eajbcs-826 216 45 m m NUM eajbcs-826 216 46 } } PUNCT eajbcs-826 216 47 ; ; PUNCT eajbcs-826 216 48 j j PROPN eajbcs-826 216 49 ∈ ∈ PROPN eajbcs-826 216 50 { { PUNCT eajbcs-826 216 51 1 1 NUM eajbcs-826 216 52 , , PUNCT eajbcs-826 216 53 2 2 NUM eajbcs-826 216 54 , , PUNCT eajbcs-826 216 55 3 3 NUM eajbcs-826 216 56 ... ... SYM eajbcs-826 216 57 n n CCONJ eajbcs-826 216 58 } } PUNCT eajbcs-826 216 59 ( ( PUNCT eajbcs-826 216 60 3.37 3.37 NUM eajbcs-826 216 61 ) ) PUNCT eajbcs-826 216 62 0 0 NUM eajbcs-826 216 63 ≤ ≤ NUM eajbcs-826 217 1 λ λ X eajbcs-826 217 2 ≤ ≤ NOUN eajbcs-826 217 3 1 1 NUM eajbcs-826 217 4 ( ( PUNCT eajbcs-826 217 5 3.38 3.38 NUM eajbcs-826 217 6 ) ) PUNCT eajbcs-826 217 7 step step NOUN eajbcs-826 217 8 5 5 NUM eajbcs-826 217 9 at at ADP eajbcs-826 217 10 the the DET eajbcs-826 217 11 end end NOUN eajbcs-826 217 12 , , PUNCT eajbcs-826 217 13 the the DET eajbcs-826 217 14 equivalent equivalent ADJ eajbcs-826 217 15 single single ADJ eajbcs-826 217 16 objective objective ADJ eajbcs-826 217 17 mp mp PROPN eajbcs-826 217 18 model model NOUN eajbcs-826 217 19 is be AUX eajbcs-826 217 20 solved solve VERB eajbcs-826 217 21 by by ADP eajbcs-826 217 22 using use VERB eajbcs-826 217 23 appropriate appropriate ADJ eajbcs-826 217 24 techniques technique NOUN eajbcs-826 217 25 or or CCONJ eajbcs-826 217 26 existing exist VERB eajbcs-826 217 27 software software NOUN eajbcs-826 217 28 . . PUNCT eajbcs-826 218 1 the the DET eajbcs-826 218 2 obtained obtain VERB eajbcs-826 218 3 po po NOUN eajbcs-826 218 4 solutions solution NOUN eajbcs-826 218 5 substituted substitute VERB eajbcs-826 218 6 back back ADV eajbcs-826 218 7 to to ADP eajbcs-826 218 8 original original ADJ eajbcs-826 218 9 fuzzy fuzzy ADJ eajbcs-826 218 10 objective objective ADJ eajbcs-826 218 11 function function NOUN eajbcs-826 218 12 , , PUNCT eajbcs-826 218 13 as as ADP eajbcs-826 218 14 the the DET eajbcs-826 218 15 result result NOUN eajbcs-826 218 16 we we PRON eajbcs-826 218 17 can can AUX eajbcs-826 218 18 find find VERB eajbcs-826 218 19 fuzzy fuzzy ADJ eajbcs-826 218 20 optimal optimal ADJ eajbcs-826 218 21 values value NOUN eajbcs-826 218 22 of of ADP eajbcs-826 218 23 each each DET eajbcs-826 218 24 fuzzy fuzzy ADJ eajbcs-826 218 25 objective objective ADJ eajbcs-826 218 26 functions function NOUN eajbcs-826 218 27 . . PUNCT eajbcs-826 219 1 numerical numerical ADJ eajbcs-826 219 2 example example NOUN eajbcs-826 219 3 in in ADP eajbcs-826 219 4 this this DET eajbcs-826 219 5 part part NOUN eajbcs-826 219 6 , , PUNCT eajbcs-826 219 7 application application NOUN eajbcs-826 219 8 numerical numerical ADJ eajbcs-826 219 9 example example NOUN eajbcs-826 219 10 is be AUX eajbcs-826 219 11 solved solve VERB eajbcs-826 219 12 using use VERB eajbcs-826 219 13 the the DET eajbcs-826 219 14 provided provide VERB eajbcs-826 219 15 approach approach NOUN eajbcs-826 219 16 , , PUNCT eajbcs-826 219 17 and and CCONJ eajbcs-826 219 18 the the DET eajbcs-826 219 19 conclusions conclusion NOUN eajbcs-826 219 20 drawn draw VERB eajbcs-826 219 21 from from ADP eajbcs-826 219 22 the the DET eajbcs-826 219 23 results result NOUN eajbcs-826 219 24 are be AUX eajbcs-826 219 25 discussed discuss VERB eajbcs-826 219 26 in in ADP eajbcs-826 219 27 further further ADJ eajbcs-826 219 28 detail detail NOUN eajbcs-826 219 29 . . PUNCT eajbcs-826 220 1 a a DET eajbcs-826 220 2 firm firm NOUN eajbcs-826 220 3 has have VERB eajbcs-826 220 4 two two NUM eajbcs-826 220 5 sources source NOUN eajbcs-826 220 6 o o NOUN eajbcs-826 220 7 1 1 NUM eajbcs-826 220 8 and and CCONJ eajbcs-826 220 9 o o NOUN eajbcs-826 220 10 2 2 NUM eajbcs-826 220 11 and and CCONJ eajbcs-826 220 12 three three NUM eajbcs-826 220 13 destinations destination NOUN eajbcs-826 220 14 d1 d1 PROPN eajbcs-826 220 15 , , PUNCT eajbcs-826 220 16 d2 d2 PROPN eajbcs-826 220 17 and and CCONJ eajbcs-826 220 18 d3 d3 PROPN eajbcs-826 220 19 . . PUNCT eajbcs-826 221 1 the the DET eajbcs-826 221 2 fuzzy fuzzy ADJ eajbcs-826 221 3 supply supply NOUN eajbcs-826 221 4 of of ADP eajbcs-826 221 5 the the DET eajbcs-826 221 6 commodity commodity NOUN eajbcs-826 221 7 from from ADP eajbcs-826 221 8 o1 o1 NOUN eajbcs-826 221 9 and and CCONJ eajbcs-826 221 10 o2 o2 PROPN eajbcs-826 221 11 are be AUX eajbcs-826 221 12 ( ( PUNCT eajbcs-826 221 13 75 75 NUM eajbcs-826 221 14 , , PUNCT eajbcs-826 221 15 95 95 NUM eajbcs-826 221 16 , , PUNCT eajbcs-826 221 17 125 125 NUM eajbcs-826 221 18 ) ) PUNCT eajbcs-826 221 19 and and CCONJ eajbcs-826 221 20 ( ( PUNCT eajbcs-826 221 21 45 45 NUM eajbcs-826 221 22 , , PUNCT eajbcs-826 221 23 65 65 NUM eajbcs-826 221 24 , , PUNCT eajbcs-826 221 25 95 95 NUM eajbcs-826 221 26 ) ) PUNCT eajbcs-826 221 27 , , PUNCT eajbcs-826 221 28 respectively respectively ADV eajbcs-826 221 29 . . PUNCT eajbcs-826 222 1 request request NOUN eajbcs-826 222 2 of of ADP eajbcs-826 222 3 fuzzy fuzzy ADJ eajbcs-826 222 4 demanded demand VERB eajbcs-826 222 5 product product NOUN eajbcs-826 222 6 at at ADP eajbcs-826 222 7 d1 d1 PROPN eajbcs-826 222 8 , , PUNCT eajbcs-826 222 9 d2 d2 PROPN eajbcs-826 222 10 and and CCONJ eajbcs-826 222 11 d3 d3 PROPN eajbcs-826 222 12 are be AUX eajbcs-826 222 13 ( ( PUNCT eajbcs-826 222 14 35 35 NUM eajbcs-826 222 15 , , PUNCT eajbcs-826 222 16 45 45 NUM eajbcs-826 222 17 , , PUNCT eajbcs-826 222 18 55 55 NUM eajbcs-826 222 19 ) ) PUNCT eajbcs-826 222 20 , , PUNCT eajbcs-826 222 21 ( ( PUNCT eajbcs-826 222 22 25 25 NUM eajbcs-826 222 23 , , PUNCT eajbcs-826 222 24 35 35 NUM eajbcs-826 222 25 , , PUNCT eajbcs-826 222 26 45 45 NUM eajbcs-826 222 27 ) ) PUNCT eajbcs-826 222 28 and and CCONJ eajbcs-826 222 29 ( ( PUNCT eajbcs-826 222 30 60 60 NUM eajbcs-826 222 31 , , PUNCT eajbcs-826 222 32 80 80 NUM eajbcs-826 222 33 , , PUNCT eajbcs-826 222 34 110 110 NUM eajbcs-826 222 35 ) ) PUNCT eajbcs-826 222 36 , , PUNCT eajbcs-826 222 37 respectively respectively ADV eajbcs-826 222 38 . . PUNCT eajbcs-826 223 1 the the DET eajbcs-826 223 2 company company NOUN eajbcs-826 223 3 wants want VERB eajbcs-826 223 4 to to PART eajbcs-826 223 5 determine determine VERB eajbcs-826 223 6 the the DET eajbcs-826 223 7 fuzzy fuzzy ADJ eajbcs-826 223 8 quantity quantity NOUN eajbcs-826 223 9 of of ADP eajbcs-826 223 10 the the DET eajbcs-826 223 11 commodity commodity NOUN eajbcs-826 223 12 that that PRON eajbcs-826 223 13 should should AUX eajbcs-826 223 14 be be AUX eajbcs-826 223 15 transported transport VERB eajbcs-826 223 16 from from ADP eajbcs-826 223 17 each each DET eajbcs-826 223 18 origin origin NOUN eajbcs-826 223 19 to to ADP eajbcs-826 223 20 each each DET eajbcs-826 223 21 destination destination NOUN eajbcs-826 223 22 so so SCONJ eajbcs-826 223 23 that that SCONJ eajbcs-826 223 24 the the DET eajbcs-826 223 25 total total ADJ eajbcs-826 223 26 fuzzy fuzzy ADJ eajbcs-826 223 27 transportation transportation NOUN eajbcs-826 223 28 cost cost NOUN eajbcs-826 223 29 is be AUX eajbcs-826 223 30 minimum minimum ADJ eajbcs-826 223 31 with with ADP eajbcs-826 223 32 minimum minimum ADJ eajbcs-826 223 33 transfer transfer NOUN eajbcs-826 223 34 time time NOUN eajbcs-826 223 35 . . PUNCT eajbcs-826 224 1 for for ADP eajbcs-826 224 2 i=1,2 i=1,2 ADJ eajbcs-826 224 3 , , PUNCT eajbcs-826 224 4 j=1,2,3 j=1,2,3 PROPN eajbcs-826 224 5 . . PROPN eajbcs-826 224 6 , , PUNCT eajbcs-826 224 7 let let VERB eajbcs-826 224 8 the the DET eajbcs-826 224 9 fuzzy fuzzy ADJ eajbcs-826 224 10 transportation transportation NOUN eajbcs-826 224 11 cost cost NOUN eajbcs-826 224 12 for for ADP eajbcs-826 224 13 unit unit NOUN eajbcs-826 224 14 quantity quantity NOUN eajbcs-826 224 15 of of ADP eajbcs-826 224 16 the the DET eajbcs-826 224 17 commodity commodity NOUN eajbcs-826 224 18 from from ADP eajbcs-826 224 19 ith ith PROPN eajbcs-826 224 20 source source NOUN eajbcs-826 224 21 to to ADP eajbcs-826 224 22 jth jth PROPN eajbcs-826 224 23 destinations destination NOUN eajbcs-826 224 24 be be AUX eajbcs-826 224 25 c̃ij c̃ij PROPN eajbcs-826 224 26 , , PUNCT eajbcs-826 224 27 the the DET eajbcs-826 224 28 fuzzy fuzzy ADJ eajbcs-826 224 29 transportation transportation NOUN eajbcs-826 224 30 time time NOUN eajbcs-826 224 31 is be AUX eajbcs-826 224 32 also also ADV eajbcs-826 224 33 considered consider VERB eajbcs-826 224 34 as as SCONJ eajbcs-826 224 35 t̃ij t̃ij PROPN eajbcs-826 224 36 and and CCONJ eajbcs-826 224 37 x̃ij x̃ij PROPN eajbcs-826 224 38 represents represent VERB eajbcs-826 224 39 the the DET eajbcs-826 224 40 allocations(or allocations(or PROPN eajbcs-826 224 41 amounts amount NOUN eajbcs-826 224 42 ) ) PUNCT eajbcs-826 224 43 , , PUNCT eajbcs-826 224 44 which which PRON eajbcs-826 224 45 is be AUX eajbcs-826 224 46 non non ADJ eajbcs-826 224 47 negative negative ADJ eajbcs-826 224 48 triangular triangular NOUN eajbcs-826 224 49 fuzzy fuzzy ADJ eajbcs-826 224 50 real real ADJ eajbcs-826 224 51 variable variable NOUN eajbcs-826 224 52 . . PUNCT eajbcs-826 225 1 the the DET eajbcs-826 225 2 theoretical theoretical ADJ eajbcs-826 225 3 data datum NOUN eajbcs-826 225 4 on on ADP eajbcs-826 225 5 fuzzy fuzzy ADJ eajbcs-826 225 6 cost cost NOUN eajbcs-826 225 7 of of ADP eajbcs-826 225 8 transportation transportation NOUN eajbcs-826 225 9 and and CCONJ eajbcs-826 225 10 fuzzy fuzzy ADJ eajbcs-826 225 11 delivery delivery NOUN eajbcs-826 225 12 time time NOUN eajbcs-826 225 13 , , PUNCT eajbcs-826 225 14 is be AUX eajbcs-826 225 15 given give VERB eajbcs-826 225 16 in in ADP eajbcs-826 225 17 the the DET eajbcs-826 225 18 table table NOUN eajbcs-826 225 19 2 2 NUM eajbcs-826 225 20 below below ADV eajbcs-826 225 21 . . PUNCT eajbcs-826 226 1 east east PROPN eajbcs-826 226 2 afr afr PROPN eajbcs-826 226 3 . . PUNCT eajbcs-826 227 1 j. j. PROPN eajbcs-826 227 2 biophys biophys PROPN eajbcs-826 227 3 . . PUNCT eajbcs-826 228 1 comput comput NOUN eajbcs-826 228 2 . . PUNCT eajbcs-826 229 1 sci sci PROPN eajbcs-826 229 2 . . PUNCT eajbcs-826 229 3 ( ( PUNCT eajbcs-826 229 4 2023 2023 NUM eajbcs-826 229 5 ) ) PUNCT eajbcs-826 229 6 , , PUNCT eajbcs-826 229 7 vol vol NOUN eajbcs-826 229 8 . . PROPN eajbcs-826 229 9 4 4 NUM eajbcs-826 229 10 , , PUNCT eajbcs-826 229 11 issue issue NOUN eajbcs-826 229 12 . . PUNCT eajbcs-826 230 1 2 2 NUM eajbcs-826 230 2 , , PUNCT eajbcs-826 230 3 43 43 NUM eajbcs-826 230 4 - - SYM eajbcs-826 230 5 53 53 NUM eajbcs-826 230 6 48 48 NUM eajbcs-826 230 7 table table NOUN eajbcs-826 230 8 2 2 NUM eajbcs-826 230 9 : : PUNCT eajbcs-826 230 10 fuzzy fuzzy ADJ eajbcs-826 230 11 transportation transportation NOUN eajbcs-826 230 12 cost cost NOUN eajbcs-826 230 13 per per ADP eajbcs-826 230 14 unit(in unit(in NOUN eajbcs-826 230 15 rupees rupee NOUN eajbcs-826 230 16 ) ) PUNCT eajbcs-826 230 17 and and CCONJ eajbcs-826 230 18 fuzzy fuzzy ADJ eajbcs-826 230 19 transportation transportation NOUN eajbcs-826 230 20 time time NOUN eajbcs-826 230 21 per per ADP eajbcs-826 230 22 unit(in unit(in NOUN eajbcs-826 230 23 minute minute NOUN eajbcs-826 230 24 ) ) PUNCT eajbcs-826 230 25 d1 d1 PROPN eajbcs-826 230 26 d2 d2 PROPN eajbcs-826 230 27 d3 d3 PROPN eajbcs-826 230 28 c̃1j(o1 c̃1j(o1 PROPN eajbcs-826 230 29 ) ) PUNCT eajbcs-826 230 30 ( ( PUNCT eajbcs-826 230 31 15,25,35 15,25,35 NUM eajbcs-826 230 32 ) ) PUNCT eajbcs-826 230 33 ( ( PUNCT eajbcs-826 230 34 55 55 NUM eajbcs-826 230 35 , , PUNCT eajbcs-826 230 36 65,85 65,85 NUM eajbcs-826 230 37 ) ) PUNCT eajbcs-826 230 38 ( ( PUNCT eajbcs-826 230 39 85,95,105 85,95,105 NUM eajbcs-826 230 40 ) ) PUNCT eajbcs-826 230 41 c̃2j(o2 c̃2j(o2 NUM eajbcs-826 230 42 ) ) PUNCT eajbcs-826 230 43 ( ( PUNCT eajbcs-826 230 44 65,75,85 65,75,85 NUM eajbcs-826 230 45 ) ) PUNCT eajbcs-826 230 46 ( ( PUNCT eajbcs-826 230 47 80,90,110 80,90,110 NOUN eajbcs-826 230 48 ) ) PUNCT eajbcs-826 230 49 ( ( PUNCT eajbcs-826 230 50 30,40,50 30,40,50 NUM eajbcs-826 230 51 ) ) PUNCT eajbcs-826 230 52 t̃1j(o1 t̃1j(o1 VERB eajbcs-826 230 53 ) ) PUNCT eajbcs-826 230 54 ( ( PUNCT eajbcs-826 230 55 4 4 NUM eajbcs-826 230 56 , , PUNCT eajbcs-826 230 57 6 6 NUM eajbcs-826 230 58 , , PUNCT eajbcs-826 230 59 8) 8) NUM eajbcs-826 230 60 ( ( PUNCT eajbcs-826 230 61 6 6 NUM eajbcs-826 230 62 , , PUNCT eajbcs-826 230 63 8,10 8,10 NUM eajbcs-826 230 64 ) ) PUNCT eajbcs-826 230 65 ( ( PUNCT eajbcs-826 230 66 7,9,11 7,9,11 NUM eajbcs-826 230 67 ) ) PUNCT eajbcs-826 230 68 t̃2j(o2 t̃2j(o2 NOUN eajbcs-826 230 69 ) ) PUNCT eajbcs-826 230 70 ( ( PUNCT eajbcs-826 230 71 3,5,7 3,5,7 NUM eajbcs-826 230 72 ) ) PUNCT eajbcs-826 230 73 ( ( PUNCT eajbcs-826 230 74 5,7,9 5,7,9 NUM eajbcs-826 230 75 ) ) PUNCT eajbcs-826 230 76 ( ( PUNCT eajbcs-826 230 77 11,13,15 11,13,15 NUM eajbcs-826 230 78 ) ) PUNCT eajbcs-826 230 79 from from ADP eajbcs-826 230 80 the the DET eajbcs-826 230 81 table table NOUN eajbcs-826 230 82 2 2 NUM eajbcs-826 230 83 mathematical mathematical ADJ eajbcs-826 230 84 model model NOUN eajbcs-826 230 85 for for ADP eajbcs-826 230 86 moftp moftp NOUN eajbcs-826 230 87 with with ADP eajbcs-826 230 88 fuzzy fuzzy ADJ eajbcs-826 230 89 decision decision NOUN eajbcs-826 230 90 variables variable NOUN eajbcs-826 230 91 becomes become VERB eajbcs-826 230 92 : : PUNCT eajbcs-826 230 93 min min NOUN eajbcs-826 230 94 : : PUNCT eajbcs-826 230 95 z̃1 z̃1 PROPN eajbcs-826 231 1 ≈ ≈ PROPN eajbcs-826 231 2 ( ( PUNCT eajbcs-826 231 3 15 15 NUM eajbcs-826 231 4 , , PUNCT eajbcs-826 231 5 25 25 NUM eajbcs-826 231 6 , , PUNCT eajbcs-826 231 7 35)⊗ 35)⊗ NUM eajbcs-826 231 8 x̃11 x̃11 PUNCT eajbcs-826 232 1 ⊕ ⊕ PROPN eajbcs-826 232 2 ( ( PUNCT eajbcs-826 232 3 55 55 NUM eajbcs-826 232 4 , , PUNCT eajbcs-826 232 5 65 65 NUM eajbcs-826 232 6 , , PUNCT eajbcs-826 232 7 85)⊗ 85)⊗ PROPN eajbcs-826 232 8 x̃12 x̃12 PROPN eajbcs-826 232 9 ⊕ ⊕ PROPN eajbcs-826 232 10 ( ( PUNCT eajbcs-826 232 11 85 85 NUM eajbcs-826 232 12 , , PUNCT eajbcs-826 232 13 95 95 NUM eajbcs-826 232 14 , , PUNCT eajbcs-826 232 15 105)⊗ 105)⊗ NUM eajbcs-826 232 16 x̃13 x̃13 PROPN eajbcs-826 232 17 ⊕ ⊕ PROPN eajbcs-826 232 18 ( ( PUNCT eajbcs-826 232 19 65 65 NUM eajbcs-826 232 20 , , PUNCT eajbcs-826 232 21 75 75 NUM eajbcs-826 232 22 , , PUNCT eajbcs-826 232 23 85)⊗ 85)⊗ NUM eajbcs-826 232 24 x̃21 x̃21 PUNCT eajbcs-826 233 1 ⊕(65 ⊕(65 ADV eajbcs-826 233 2 , , PUNCT eajbcs-826 233 3 75 75 NUM eajbcs-826 233 4 , , PUNCT eajbcs-826 233 5 85)⊗ 85)⊗ NUM eajbcs-826 233 6 x̃21 x̃21 PROPN eajbcs-826 233 7 ⊕ ⊕ PROPN eajbcs-826 233 8 ( ( PUNCT eajbcs-826 233 9 80 80 NUM eajbcs-826 233 10 , , PUNCT eajbcs-826 233 11 90 90 NUM eajbcs-826 233 12 , , PUNCT eajbcs-826 233 13 110)⊗ 110)⊗ NUM eajbcs-826 233 14 x̃22 x̃22 PROPN eajbcs-826 233 15 ⊕ ⊕ PROPN eajbcs-826 233 16 ( ( PUNCT eajbcs-826 233 17 30 30 NUM eajbcs-826 233 18 , , PUNCT eajbcs-826 233 19 40 40 NUM eajbcs-826 233 20 , , PUNCT eajbcs-826 233 21 50)⊗ 50)⊗ NUM eajbcs-826 233 22 x̃23 x̃23 NOUN eajbcs-826 233 23 ( ( PUNCT eajbcs-826 233 24 3.39 3.39 NUM eajbcs-826 233 25 ) ) PUNCT eajbcs-826 233 26 min min NOUN eajbcs-826 233 27 : : PUNCT eajbcs-826 234 1 z̃2 z̃2 PROPN eajbcs-826 234 2 ≈ ≈ PROPN eajbcs-826 234 3 ( ( PUNCT eajbcs-826 234 4 4 4 NUM eajbcs-826 234 5 , , PUNCT eajbcs-826 234 6 6 6 NUM eajbcs-826 234 7 , , PUNCT eajbcs-826 234 8 8)⊗ 8)⊗ NUM eajbcs-826 234 9 x̃11 x̃11 PUNCT eajbcs-826 235 1 ⊕ ⊕ PROPN eajbcs-826 235 2 ( ( PUNCT eajbcs-826 235 3 6 6 NUM eajbcs-826 235 4 , , PUNCT eajbcs-826 235 5 8 8 NUM eajbcs-826 235 6 , , PUNCT eajbcs-826 235 7 10)⊗ 10)⊗ NUM eajbcs-826 235 8 x̃12 x̃12 PROPN eajbcs-826 235 9 ⊕ ⊕ PROPN eajbcs-826 235 10 ( ( PUNCT eajbcs-826 235 11 7 7 NUM eajbcs-826 235 12 , , PUNCT eajbcs-826 235 13 9 9 NUM eajbcs-826 235 14 , , PUNCT eajbcs-826 235 15 11)⊗ 11)⊗ NUM eajbcs-826 235 16 x̃13 x̃13 PROPN eajbcs-826 235 17 ⊕ ⊕ PROPN eajbcs-826 235 18 ( ( PUNCT eajbcs-826 235 19 3 3 NUM eajbcs-826 235 20 , , PUNCT eajbcs-826 235 21 5 5 NUM eajbcs-826 235 22 , , PUNCT eajbcs-826 235 23 7)⊗ 7)⊗ NUM eajbcs-826 235 24 x̃21 x̃21 PUNCT eajbcs-826 235 25 ⊕ ⊕ PROPN eajbcs-826 235 26 ( ( PUNCT eajbcs-826 235 27 5 5 NUM eajbcs-826 235 28 , , PUNCT eajbcs-826 235 29 7 7 NUM eajbcs-826 235 30 , , PUNCT eajbcs-826 235 31 9)⊗ 9)⊗ NUM eajbcs-826 235 32 x̃22 x̃22 PUNCT eajbcs-826 236 1 ⊕(11 ⊕(11 PROPN eajbcs-826 236 2 , , PUNCT eajbcs-826 236 3 13 13 NUM eajbcs-826 236 4 , , PUNCT eajbcs-826 236 5 15)⊗ 15)⊗ NUM eajbcs-826 236 6 x̃23 x̃23 PROPN eajbcs-826 236 7 ( ( PUNCT eajbcs-826 236 8 3.40 3.40 NUM eajbcs-826 236 9 ) ) PUNCT eajbcs-826 236 10 subject subject NOUN eajbcs-826 236 11 to to ADP eajbcs-826 236 12 x̃11 x̃11 PROPN eajbcs-826 236 13 ⊕ ⊕ PROPN eajbcs-826 236 14 x̃12 x̃12 PUNCT eajbcs-826 237 1 ⊕ ⊕ PROPN eajbcs-826 237 2 x̃13 x̃13 PUNCT eajbcs-826 238 1 ≈ ≈ PROPN eajbcs-826 238 2 ( ( PUNCT eajbcs-826 238 3 75 75 NUM eajbcs-826 238 4 , , PUNCT eajbcs-826 238 5 95 95 NUM eajbcs-826 238 6 , , PUNCT eajbcs-826 238 7 125 125 NUM eajbcs-826 238 8 ) ) PUNCT eajbcs-826 238 9 ( ( PUNCT eajbcs-826 238 10 3.41 3.41 NUM eajbcs-826 238 11 ) ) PUNCT eajbcs-826 238 12 x̃21 x̃21 PUNCT eajbcs-826 239 1 ⊕ ⊕ PROPN eajbcs-826 239 2 x̃22 x̃22 PUNCT eajbcs-826 240 1 ⊕ ⊕ PROPN eajbcs-826 240 2 x̃23 x̃23 PUNCT eajbcs-826 241 1 ≈ ≈ PROPN eajbcs-826 241 2 ( ( PUNCT eajbcs-826 241 3 45 45 NUM eajbcs-826 241 4 , , PUNCT eajbcs-826 241 5 65 65 NUM eajbcs-826 241 6 , , PUNCT eajbcs-826 241 7 95 95 NUM eajbcs-826 241 8 ) ) PUNCT eajbcs-826 241 9 ( ( PUNCT eajbcs-826 241 10 3.42 3.42 NUM eajbcs-826 241 11 ) ) PUNCT eajbcs-826 241 12 x̃11 x̃11 PUNCT eajbcs-826 242 1 ⊕ ⊕ PROPN eajbcs-826 242 2 x̃21 x̃21 PUNCT eajbcs-826 243 1 ≈ ≈ PROPN eajbcs-826 243 2 ( ( PUNCT eajbcs-826 243 3 35 35 NUM eajbcs-826 243 4 , , PUNCT eajbcs-826 243 5 45 45 NUM eajbcs-826 243 6 , , PUNCT eajbcs-826 243 7 65 65 NUM eajbcs-826 243 8 ) ) PUNCT eajbcs-826 243 9 ( ( PUNCT eajbcs-826 243 10 3.43 3.43 NUM eajbcs-826 243 11 ) ) PUNCT eajbcs-826 243 12 x̃12 x̃12 PROPN eajbcs-826 244 1 ⊕ ⊕ PROPN eajbcs-826 244 2 x̃22 x̃22 PUNCT eajbcs-826 245 1 ≈ ≈ PROPN eajbcs-826 245 2 ( ( PUNCT eajbcs-826 245 3 25 25 NUM eajbcs-826 245 4 , , PUNCT eajbcs-826 245 5 35 35 NUM eajbcs-826 245 6 , , PUNCT eajbcs-826 245 7 45 45 NUM eajbcs-826 245 8 ) ) PUNCT eajbcs-826 245 9 ( ( PUNCT eajbcs-826 245 10 3.44 3.44 NUM eajbcs-826 245 11 ) ) PUNCT eajbcs-826 245 12 x̃13 x̃13 PROPN eajbcs-826 246 1 ⊕ ⊕ PROPN eajbcs-826 246 2 x̃23 x̃23 PUNCT eajbcs-826 247 1 ≈ ≈ PROPN eajbcs-826 247 2 ( ( PUNCT eajbcs-826 247 3 60 60 NUM eajbcs-826 247 4 , , PUNCT eajbcs-826 247 5 80 80 NUM eajbcs-826 247 6 , , PUNCT eajbcs-826 247 7 110 110 NUM eajbcs-826 247 8 ) ) PUNCT eajbcs-826 247 9 ( ( PUNCT eajbcs-826 247 10 3.45 3.45 NUM eajbcs-826 247 11 ) ) PUNCT eajbcs-826 247 12 x11 x11 NOUN eajbcs-826 247 13 , , PUNCT eajbcs-826 247 14 x̃12 x̃12 NOUN eajbcs-826 247 15 , , PUNCT eajbcs-826 247 16 x̃13 x̃13 PUNCT eajbcs-826 247 17 ⪰ ⪰ NOUN eajbcs-826 247 18 0 0 NUM eajbcs-826 247 19 ( ( PUNCT eajbcs-826 247 20 3.46 3.46 NUM eajbcs-826 247 21 ) ) PUNCT eajbcs-826 247 22 x̃21 x̃21 PROPN eajbcs-826 247 23 , , PUNCT eajbcs-826 247 24 x̃22 x̃22 PROPN eajbcs-826 247 25 , , PUNCT eajbcs-826 247 26 x̃23 x̃23 X eajbcs-826 247 27 ⪰ ⪰ NOUN eajbcs-826 247 28 0 0 PUNCT eajbcs-826 247 29 ( ( PUNCT eajbcs-826 247 30 3.47 3.47 NUM eajbcs-826 247 31 ) ) PUNCT eajbcs-826 247 32 defuzzification defuzzification NOUN eajbcs-826 247 33 is be AUX eajbcs-826 247 34 done do VERB eajbcs-826 247 35 using use VERB eajbcs-826 247 36 the the DET eajbcs-826 247 37 concept concept NOUN eajbcs-826 247 38 discussed discuss VERB eajbcs-826 247 39 in in ADP eajbcs-826 247 40 the the DET eajbcs-826 247 41 subsection subsection NOUN eajbcs-826 247 42 3.1 3.1 NUM eajbcs-826 247 43 . . PUNCT eajbcs-826 248 1 then then ADV eajbcs-826 248 2 the the DET eajbcs-826 248 3 case(3.27 case(3.27 PROPN eajbcs-826 248 4 - - PROPN eajbcs-826 248 5 3.37 3.37 NUM eajbcs-826 248 6 ) ) PUNCT eajbcs-826 248 7 of of ADP eajbcs-826 248 8 evaluation evaluation NOUN eajbcs-826 248 9 of of ADP eajbcs-826 248 10 membership membership NOUN eajbcs-826 248 11 functions function NOUN eajbcs-826 248 12 for for ADP eajbcs-826 248 13 the the DET eajbcs-826 248 14 minimization minimization NOUN eajbcs-826 248 15 ( ( PUNCT eajbcs-826 248 16 max max PROPN eajbcs-826 248 17 - - PUNCT eajbcs-826 248 18 min min NOUN eajbcs-826 248 19 operator operator NOUN eajbcs-826 248 20 ) ) PUNCT eajbcs-826 248 21 is be AUX eajbcs-826 248 22 applied apply VERB eajbcs-826 248 23 on on ADP eajbcs-826 248 24 the the DET eajbcs-826 248 25 crisp crisp ADJ eajbcs-826 248 26 motp motp NOUN eajbcs-826 248 27 along along ADV eajbcs-826 248 28 with with ADP eajbcs-826 248 29 all all DET eajbcs-826 248 30 the the DET eajbcs-826 248 31 procedures procedure NOUN eajbcs-826 248 32 discussed discuss VERB eajbcs-826 248 33 above above ADV eajbcs-826 248 34 . . PUNCT eajbcs-826 249 1 the the DET eajbcs-826 249 2 fuzzy fuzzy ADJ eajbcs-826 249 3 programming programming NOUN eajbcs-826 249 4 method method NOUN eajbcs-826 249 5 is be AUX eajbcs-826 249 6 applied apply VERB eajbcs-826 249 7 on on ADP eajbcs-826 249 8 the the DET eajbcs-826 249 9 aforementioned aforementioned ADJ eajbcs-826 249 10 crisp crisp ADJ eajbcs-826 249 11 equivalent equivalent ADJ eajbcs-826 249 12 motp motp NOUN eajbcs-826 249 13 to to PART eajbcs-826 249 14 find find VERB eajbcs-826 249 15 the the DET eajbcs-826 249 16 ideal ideal ADJ eajbcs-826 249 17 solutions solution NOUN eajbcs-826 249 18 as as SCONJ eajbcs-826 249 19 detailed detailed ADJ eajbcs-826 249 20 below below ADP eajbcs-826 249 21 x(1 x(1 PROPN eajbcs-826 249 22 ) ) PUNCT eajbcs-826 250 1 = = PRON eajbcs-826 251 1 ( ( PUNCT eajbcs-826 251 2 xp xp INTJ eajbcs-826 251 3 11 11 NUM eajbcs-826 251 4 , , PUNCT eajbcs-826 251 5 x11 x11 PROPN eajbcs-826 251 6 , , PUNCT eajbcs-826 251 7 x x PUNCT eajbcs-826 251 8 o o NOUN eajbcs-826 251 9 11 11 NUM eajbcs-826 251 10 , , PUNCT eajbcs-826 251 11 x x PROPN eajbcs-826 251 12 p p NOUN eajbcs-826 251 13 12 12 NUM eajbcs-826 251 14 , , PUNCT eajbcs-826 251 15 x12 x12 NUM eajbcs-826 251 16 , , PUNCT eajbcs-826 251 17 x x SYM eajbcs-826 251 18 o o NOUN eajbcs-826 251 19 12 12 NUM eajbcs-826 251 20 , , PUNCT eajbcs-826 251 21 x x PROPN eajbcs-826 251 22 p p NOUN eajbcs-826 251 23 13 13 NUM eajbcs-826 251 24 , , PUNCT eajbcs-826 251 25 x13 x13 PROPN eajbcs-826 251 26 , , PUNCT eajbcs-826 251 27 x x SYM eajbcs-826 251 28 o o NOUN eajbcs-826 251 29 13 13 NUM eajbcs-826 251 30 , , PUNCT eajbcs-826 251 31 x x PROPN eajbcs-826 251 32 p p NOUN eajbcs-826 251 33 21 21 NUM eajbcs-826 251 34 , , PUNCT eajbcs-826 251 35 x21 x21 PROPN eajbcs-826 251 36 , , PUNCT eajbcs-826 251 37 x x PUNCT eajbcs-826 251 38 o o NOUN eajbcs-826 251 39 21 21 NUM eajbcs-826 251 40 , , PUNCT eajbcs-826 251 41 x x PROPN eajbcs-826 251 42 p p NOUN eajbcs-826 251 43 22 22 NUM eajbcs-826 251 44 , , PUNCT eajbcs-826 251 45 x22 x22 NUM eajbcs-826 251 46 , , PUNCT eajbcs-826 251 47 x x PART eajbcs-826 251 48 o o NOUN eajbcs-826 251 49 22x 22x NOUN eajbcs-826 251 50 p p VERB eajbcs-826 251 51 23 23 NUM eajbcs-826 251 52 , , PUNCT eajbcs-826 251 53 x23 x23 NUM eajbcs-826 251 54 , , PUNCT eajbcs-826 251 55 x x X eajbcs-826 252 1 o o NOUN eajbcs-826 252 2 23)= 23)= NUM eajbcs-826 252 3 ( ( PUNCT eajbcs-826 252 4 35,35,55,10,10,10,30,50,60,0,10,10,15,25,35,30,30,50 35,35,55,10,10,10,30,50,60,0,10,10,15,25,35,30,30,50 X eajbcs-826 252 5 ) ) PUNCT eajbcs-826 252 6 x(2 x(2 PROPN eajbcs-826 252 7 ) ) PUNCT eajbcs-826 252 8 = = SYM eajbcs-826 252 9 ( ( PUNCT eajbcs-826 252 10 xp xp INTJ eajbcs-826 252 11 11 11 NUM eajbcs-826 252 12 , , PUNCT eajbcs-826 252 13 x11 x11 PROPN eajbcs-826 252 14 , , PUNCT eajbcs-826 252 15 x x PUNCT eajbcs-826 252 16 o o NOUN eajbcs-826 252 17 11 11 NUM eajbcs-826 252 18 , , PUNCT eajbcs-826 252 19 x x PROPN eajbcs-826 252 20 p p NOUN eajbcs-826 252 21 12 12 NUM eajbcs-826 252 22 , , PUNCT eajbcs-826 252 23 x12 x12 NUM eajbcs-826 252 24 , , PUNCT eajbcs-826 252 25 x x SYM eajbcs-826 252 26 o o NOUN eajbcs-826 252 27 12 12 NUM eajbcs-826 252 28 , , PUNCT eajbcs-826 252 29 x x PROPN eajbcs-826 252 30 p p NOUN eajbcs-826 252 31 13 13 NUM eajbcs-826 252 32 , , PUNCT eajbcs-826 252 33 x13 x13 PROPN eajbcs-826 252 34 , , PUNCT eajbcs-826 252 35 x x SYM eajbcs-826 252 36 o o NOUN eajbcs-826 252 37 13 13 NUM eajbcs-826 252 38 , , PUNCT eajbcs-826 252 39 x x PROPN eajbcs-826 252 40 p p NOUN eajbcs-826 252 41 21 21 NUM eajbcs-826 252 42 , , PUNCT eajbcs-826 252 43 x21 x21 PROPN eajbcs-826 252 44 , , PUNCT eajbcs-826 252 45 x x PUNCT eajbcs-826 252 46 o o NOUN eajbcs-826 252 47 21 21 NUM eajbcs-826 252 48 , , PUNCT eajbcs-826 252 49 x x PROPN eajbcs-826 252 50 p p NOUN eajbcs-826 252 51 22 22 NUM eajbcs-826 252 52 , , PUNCT eajbcs-826 252 53 x22 x22 NUM eajbcs-826 252 54 , , PUNCT eajbcs-826 252 55 x x PUNCT eajbcs-826 252 56 o o NOUN eajbcs-826 252 57 22 22 NUM eajbcs-826 252 58 , , PUNCT eajbcs-826 252 59 x x PROPN eajbcs-826 252 60 p p NOUN eajbcs-826 252 61 23 23 NUM eajbcs-826 252 62 , , PUNCT eajbcs-826 252 63 x23 x23 NUM eajbcs-826 252 64 , , PUNCT eajbcs-826 252 65 x x X eajbcs-826 252 66 o o NOUN eajbcs-826 252 67 23)= 23)= NUM eajbcs-826 252 68 ( ( PUNCT eajbcs-826 252 69 0,10,30,25,35,35,50,50,60,35,35,35,0,0,10,10,30,50 0,10,30,25,35,35,50,50,60,35,35,35,0,0,10,10,30,50 NUM eajbcs-826 252 70 ) ) PUNCT eajbcs-826 252 71 at at ADP eajbcs-826 252 72 the the DET eajbcs-826 252 73 corresponding corresponding ADJ eajbcs-826 252 74 ideal ideal NOUN eajbcs-826 252 75 points point VERB eajbcs-826 252 76 the the DET eajbcs-826 252 77 values value NOUN eajbcs-826 252 78 of of ADP eajbcs-826 252 79 crisp crisp ADJ eajbcs-826 252 80 objective objective ADJ eajbcs-826 252 81 functions function NOUN eajbcs-826 252 82 are be AUX eajbcs-826 252 83 obtained obtain VERB eajbcs-826 252 84 and and CCONJ eajbcs-826 252 85 given give VERB eajbcs-826 252 86 as as ADP eajbcs-826 252 87 : : PUNCT eajbcs-826 252 88 z1=10737.5 z1=10737.5 NOUN eajbcs-826 252 89 , , PUNCT eajbcs-826 252 90 z2=1440 z2=1440 PROPN eajbcs-826 252 91 . . PUNCT eajbcs-826 253 1 after after ADP eajbcs-826 253 2 constructing construct VERB eajbcs-826 253 3 a a DET eajbcs-826 253 4 pay pay VERB eajbcs-826 253 5 - - PUNCT eajbcs-826 253 6 of of ADP eajbcs-826 253 7 matrix matrix NOUN eajbcs-826 253 8 2 2 NUM eajbcs-826 253 9 , , PUNCT eajbcs-826 253 10 the the DET eajbcs-826 253 11 bounds bound NOUN eajbcs-826 253 12 of of ADP eajbcs-826 253 13 the the DET eajbcs-826 253 14 two two NUM eajbcs-826 253 15 objective objective ADJ eajbcs-826 253 16 functions function NOUN eajbcs-826 253 17 are be AUX eajbcs-826 253 18 given give VERB eajbcs-826 253 19 by by ADP eajbcs-826 253 20 : : PUNCT eajbcs-826 253 21 10737.5 10737.5 NUM eajbcs-826 253 22 ≤ ≤ NUM eajbcs-826 253 23 z1(x z1(x NOUN eajbcs-826 253 24 ) ) PUNCT eajbcs-826 253 25 ≤ ≤ NUM eajbcs-826 253 26 11825 11825 NUM eajbcs-826 253 27 1440 1440 NUM eajbcs-826 253 28 ≤ ≤ NUM eajbcs-826 253 29 z2(x z2(x NUM eajbcs-826 253 30 ) ) PUNCT eajbcs-826 253 31 ≤ ≤ NOUN eajbcs-826 253 32 1465 1465 NUM eajbcs-826 253 33 . . PUNCT eajbcs-826 254 1 the the DET eajbcs-826 254 2 the the DET eajbcs-826 254 3 single single ADJ eajbcs-826 254 4 objective objective ADJ eajbcs-826 254 5 crisp crisp ADJ eajbcs-826 254 6 problem problem NOUN eajbcs-826 254 7 is be AUX eajbcs-826 254 8 obtained obtain VERB eajbcs-826 254 9 by by ADP eajbcs-826 254 10 formulating formulate VERB eajbcs-826 254 11 membership membership NOUN eajbcs-826 254 12 function function NOUN eajbcs-826 254 13 . . PUNCT eajbcs-826 255 1 thus thus ADV eajbcs-826 255 2 the the DET eajbcs-826 255 3 programming programming NOUN eajbcs-826 255 4 problem problem NOUN eajbcs-826 255 5 becomes become VERB eajbcs-826 255 6 : : PUNCT eajbcs-826 255 7 max max NOUN eajbcs-826 255 8 : : PUNCT eajbcs-826 255 9 λ λ X eajbcs-826 255 10 ( ( PUNCT eajbcs-826 255 11 3.48 3.48 NUM eajbcs-826 255 12 ) ) PUNCT eajbcs-826 255 13 east east PROPN eajbcs-826 255 14 afr afr PROPN eajbcs-826 255 15 . . PUNCT eajbcs-826 256 1 j. j. PROPN eajbcs-826 256 2 biophys biophys PROPN eajbcs-826 256 3 . . PUNCT eajbcs-826 257 1 comput comput NOUN eajbcs-826 257 2 . . PUNCT eajbcs-826 258 1 sci sci PROPN eajbcs-826 258 2 . . PUNCT eajbcs-826 258 3 ( ( PUNCT eajbcs-826 258 4 2023 2023 NUM eajbcs-826 258 5 ) ) PUNCT eajbcs-826 258 6 , , PUNCT eajbcs-826 258 7 vol vol NOUN eajbcs-826 258 8 . . PROPN eajbcs-826 258 9 4 4 NUM eajbcs-826 258 10 , , PUNCT eajbcs-826 258 11 issue issue NOUN eajbcs-826 258 12 . . PUNCT eajbcs-826 259 1 2 2 NUM eajbcs-826 259 2 , , PUNCT eajbcs-826 259 3 43 43 NUM eajbcs-826 259 4 - - SYM eajbcs-826 259 5 53 53 NUM eajbcs-826 259 6 49 49 NUM eajbcs-826 259 7 subject subject NOUN eajbcs-826 259 8 to to ADP eajbcs-826 259 9 z1 z1 PROPN eajbcs-826 259 10 + + CCONJ eajbcs-826 259 11 1387.5λ 1387.5λ NUM eajbcs-826 259 12 ≤ ≤ NUM eajbcs-826 259 13 11825 11825 NUM eajbcs-826 259 14 ( ( PUNCT eajbcs-826 259 15 3.49 3.49 NUM eajbcs-826 259 16 ) ) PUNCT eajbcs-826 259 17 z2 z2 NOUN eajbcs-826 259 18 + + CCONJ eajbcs-826 259 19 25λ 25λ NOUN eajbcs-826 259 20 ≤ ≤ NUM eajbcs-826 259 21 1465 1465 NUM eajbcs-826 259 22 ( ( PUNCT eajbcs-826 259 23 3.50 3.50 NUM eajbcs-826 259 24 ) ) PUNCT eajbcs-826 259 25 xp xp ADV eajbcs-826 260 1 11 11 NUM eajbcs-826 260 2 + + CCONJ eajbcs-826 260 3 xp xp PROPN eajbcs-826 260 4 12 12 NUM eajbcs-826 261 1 + + CCONJ eajbcs-826 261 2 xp xp INTJ eajbcs-826 261 3 13 13 NUM eajbcs-826 261 4 = = SYM eajbcs-826 261 5 75 75 NUM eajbcs-826 261 6 ( ( PUNCT eajbcs-826 261 7 3.51 3.51 NUM eajbcs-826 261 8 ) ) PUNCT eajbcs-826 261 9 x11 x11 NOUN eajbcs-826 262 1 + + CCONJ eajbcs-826 262 2 x12 x12 NUM eajbcs-826 262 3 + + CCONJ eajbcs-826 262 4 x13 x13 NOUN eajbcs-826 262 5 = = SYM eajbcs-826 262 6 95 95 NUM eajbcs-826 262 7 ( ( PUNCT eajbcs-826 262 8 3.52 3.52 NUM eajbcs-826 262 9 ) ) PUNCT eajbcs-826 262 10 xo xo NOUN eajbcs-826 262 11 11 11 NUM eajbcs-826 263 1 + + CCONJ eajbcs-826 263 2 xo xo PROPN eajbcs-826 263 3 12 12 NUM eajbcs-826 264 1 + + CCONJ eajbcs-826 264 2 xo xo PROPN eajbcs-826 264 3 13 13 NUM eajbcs-826 264 4 = = SYM eajbcs-826 264 5 125 125 NUM eajbcs-826 264 6 ( ( PUNCT eajbcs-826 264 7 3.53 3.53 NUM eajbcs-826 264 8 ) ) PUNCT eajbcs-826 264 9 xp xp NOUN eajbcs-826 265 1 21 21 NUM eajbcs-826 266 1 + + CCONJ eajbcs-826 266 2 xp xp INTJ eajbcs-826 266 3 22 22 NUM eajbcs-826 267 1 + + CCONJ eajbcs-826 267 2 xp xp PROPN eajbcs-826 267 3 23 23 NUM eajbcs-826 267 4 = = SYM eajbcs-826 267 5 45 45 NUM eajbcs-826 267 6 ( ( PUNCT eajbcs-826 267 7 3.54 3.54 NUM eajbcs-826 267 8 ) ) PUNCT eajbcs-826 267 9 x21 x21 PROPN eajbcs-826 268 1 + + NUM eajbcs-826 268 2 x22 x22 NUM eajbcs-826 269 1 + + CCONJ eajbcs-826 269 2 x23 x23 NOUN eajbcs-826 269 3 = = SYM eajbcs-826 269 4 65 65 NUM eajbcs-826 269 5 ( ( PUNCT eajbcs-826 269 6 3.55 3.55 NUM eajbcs-826 269 7 ) ) PUNCT eajbcs-826 269 8 xo xo NOUN eajbcs-826 269 9 21 21 NUM eajbcs-826 270 1 + + CCONJ eajbcs-826 270 2 xo xo PROPN eajbcs-826 270 3 22 22 NUM eajbcs-826 271 1 + + CCONJ eajbcs-826 271 2 xo xo PROPN eajbcs-826 271 3 23 23 NUM eajbcs-826 271 4 = = SYM eajbcs-826 271 5 95 95 NUM eajbcs-826 271 6 ( ( PUNCT eajbcs-826 271 7 3.56 3.56 NUM eajbcs-826 271 8 ) ) PUNCT eajbcs-826 271 9 xp xp ADV eajbcs-826 271 10 11 11 NUM eajbcs-826 272 1 + + CCONJ eajbcs-826 272 2 xp xp PROPN eajbcs-826 272 3 21 21 NUM eajbcs-826 272 4 = = SYM eajbcs-826 272 5 35 35 NUM eajbcs-826 272 6 ( ( PUNCT eajbcs-826 272 7 3.57 3.57 NUM eajbcs-826 272 8 ) ) PUNCT eajbcs-826 272 9 x11 x11 NOUN eajbcs-826 273 1 + + CCONJ eajbcs-826 273 2 x21 x21 NUM eajbcs-826 274 1 = = SYM eajbcs-826 274 2 45 45 NUM eajbcs-826 274 3 ( ( PUNCT eajbcs-826 274 4 3.58 3.58 NUM eajbcs-826 274 5 ) ) PUNCT eajbcs-826 274 6 xo xo NOUN eajbcs-826 274 7 11 11 NUM eajbcs-826 275 1 + + CCONJ eajbcs-826 275 2 xo xo PROPN eajbcs-826 275 3 21 21 NUM eajbcs-826 275 4 = = SYM eajbcs-826 275 5 65 65 NUM eajbcs-826 275 6 ( ( PUNCT eajbcs-826 275 7 3.59 3.59 NUM eajbcs-826 275 8 ) ) PUNCT eajbcs-826 275 9 xp xp ADV eajbcs-826 276 1 12 12 NUM eajbcs-826 277 1 + + CCONJ eajbcs-826 277 2 xp xp INTJ eajbcs-826 277 3 22 22 NUM eajbcs-826 277 4 = = SYM eajbcs-826 277 5 25 25 NUM eajbcs-826 277 6 ( ( PUNCT eajbcs-826 277 7 3.60 3.60 NUM eajbcs-826 277 8 ) ) PUNCT eajbcs-826 277 9 x12 x12 NOUN eajbcs-826 278 1 + + CCONJ eajbcs-826 278 2 x22 x22 NOUN eajbcs-826 278 3 = = SYM eajbcs-826 278 4 35 35 NUM eajbcs-826 278 5 ( ( PUNCT eajbcs-826 278 6 3.61 3.61 NUM eajbcs-826 278 7 ) ) PUNCT eajbcs-826 278 8 xo xo NOUN eajbcs-826 278 9 12 12 NUM eajbcs-826 279 1 + + CCONJ eajbcs-826 279 2 xo xo PROPN eajbcs-826 279 3 22 22 NUM eajbcs-826 279 4 = = SYM eajbcs-826 279 5 45 45 NUM eajbcs-826 279 6 ( ( PUNCT eajbcs-826 279 7 3.62 3.62 NUM eajbcs-826 279 8 ) ) PUNCT eajbcs-826 279 9 xp xp ADV eajbcs-826 279 10 13 13 NUM eajbcs-826 280 1 + + NUM eajbcs-826 280 2 xp xp PROPN eajbcs-826 280 3 23 23 NUM eajbcs-826 281 1 = = SYM eajbcs-826 281 2 60 60 NUM eajbcs-826 281 3 ( ( PUNCT eajbcs-826 281 4 3.63 3.63 NUM eajbcs-826 281 5 ) ) PUNCT eajbcs-826 281 6 x13 x13 NOUN eajbcs-826 281 7 + + CCONJ eajbcs-826 281 8 x23 x23 PROPN eajbcs-826 281 9 = = SYM eajbcs-826 281 10 80 80 NUM eajbcs-826 281 11 ( ( PUNCT eajbcs-826 281 12 3.64 3.64 NUM eajbcs-826 281 13 ) ) PUNCT eajbcs-826 281 14 xo xo NOUN eajbcs-826 281 15 13 13 NUM eajbcs-826 282 1 + + CCONJ eajbcs-826 282 2 xo xo PROPN eajbcs-826 282 3 23 23 NUM eajbcs-826 282 4 = = SYM eajbcs-826 282 5 110 110 NUM eajbcs-826 282 6 ( ( PUNCT eajbcs-826 282 7 3.65 3.65 NUM eajbcs-826 282 8 ) ) PUNCT eajbcs-826 282 9 xo xo PROPN eajbcs-826 283 1 ij ij INTJ eajbcs-826 283 2 − − PROPN eajbcs-826 283 3 xij xij PROPN eajbcs-826 283 4 ≥ ≥ NUM eajbcs-826 283 5 0 0 NUM eajbcs-826 283 6 ( ( PUNCT eajbcs-826 283 7 3.66 3.66 NUM eajbcs-826 283 8 ) ) PUNCT eajbcs-826 283 9 xij xij NOUN eajbcs-826 283 10 − − PROPN eajbcs-826 284 1 xp xp INTJ eajbcs-826 284 2 ij ij INTJ eajbcs-826 284 3 ≥ ≥ NOUN eajbcs-826 284 4 0 0 NUM eajbcs-826 284 5 ( ( PUNCT eajbcs-826 284 6 3.67 3.67 NUM eajbcs-826 284 7 ) ) PUNCT eajbcs-826 284 8 xp xp NOUN eajbcs-826 285 1 ij ij INTJ eajbcs-826 285 2 ≥ ≥ NOUN eajbcs-826 285 3 0 0 NUM eajbcs-826 285 4 ( ( PUNCT eajbcs-826 285 5 3.68 3.68 NUM eajbcs-826 285 6 ) ) PUNCT eajbcs-826 285 7 0 0 NUM eajbcs-826 286 1 ≤ ≤ NUM eajbcs-826 286 2 λ λ X eajbcs-826 286 3 ≤ ≤ NOUN eajbcs-826 286 4 1 1 NUM eajbcs-826 286 5 ( ( PUNCT eajbcs-826 286 6 3.69 3.69 NUM eajbcs-826 286 7 ) ) PUNCT eajbcs-826 286 8 by by ADP eajbcs-826 286 9 employing employ VERB eajbcs-826 286 10 the the DET eajbcs-826 286 11 lingo lingo NOUN eajbcs-826 286 12 software software NOUN eajbcs-826 286 13 , , PUNCT eajbcs-826 286 14 the the DET eajbcs-826 286 15 resultant resultant NOUN eajbcs-826 286 16 equivalent equivalent ADJ eajbcs-826 286 17 crisp crisp ADJ eajbcs-826 286 18 programming programming NOUN eajbcs-826 286 19 problem problem NOUN eajbcs-826 286 20 ( ( PUNCT eajbcs-826 286 21 3.48)-(3.69 3.48)-(3.69 NUM eajbcs-826 286 22 ) ) PUNCT eajbcs-826 286 23 is be AUX eajbcs-826 286 24 solved solve VERB eajbcs-826 286 25 . . PUNCT eajbcs-826 287 1 the the DET eajbcs-826 287 2 po po PROPN eajbcs-826 287 3 solutions solution NOUN eajbcs-826 287 4 and and CCONJ eajbcs-826 287 5 the the DET eajbcs-826 287 6 agumated agumate VERB eajbcs-826 287 7 variable variable ADJ eajbcs-826 287 8 λ λ NOUN eajbcs-826 287 9 obtained obtain VERB eajbcs-826 287 10 are be AUX eajbcs-826 287 11 given give VERB eajbcs-826 287 12 consecutively consecutively ADV eajbcs-826 287 13 as as ADP eajbcs-826 287 14 : : PUNCT eajbcs-826 287 15 x∗=(31.66375,41.66375,61.66375,0,3.336248,3.33666248,43.33675,50,60 x∗=(31.66375,41.66375,61.66375,0,3.336248,3.33666248,43.33675,50,60 PROPN eajbcs-826 287 16 , , PUNCT eajbcs-826 287 17 3.336248 3.336248 NUM eajbcs-826 287 18 , , PUNCT eajbcs-826 287 19 3.336248 3.336248 NUM eajbcs-826 287 20 , , PUNCT eajbcs-826 287 21 3.336248 3.336248 NUM eajbcs-826 287 22 , , PUNCT eajbcs-826 287 23 25,31.66375,41.66375,16.66375,30,50 25,31.66375,41.66375,16.66375,30,50 NUM eajbcs-826 287 24 ) ) PUNCT eajbcs-826 287 25 , , PUNCT eajbcs-826 287 26 λ=0.6668124 λ=0.6668124 PROPN eajbcs-826 287 27 . . PUNCT eajbcs-826 288 1 the the DET eajbcs-826 288 2 compromising compromise VERB eajbcs-826 288 3 fuzzy fuzzy ADJ eajbcs-826 288 4 objective objective ADJ eajbcs-826 288 5 functions function NOUN eajbcs-826 288 6 values value NOUN eajbcs-826 288 7 are be AUX eajbcs-826 288 8 z̃1=(6875.31 z̃1=(6875.31 NOUN eajbcs-826 288 9 , , PUNCT eajbcs-826 288 10 10341.77 10341.77 NUM eajbcs-826 288 11 , , PUNCT eajbcs-826 288 12 16075.04 16075.04 NUM eajbcs-826 288 13 ) ) PUNCT eajbcs-826 288 14 and and CCONJ eajbcs-826 288 15 z̃2=(748.32 z̃2=(748.32 PROPN eajbcs-826 288 16 , , PUNCT eajbcs-826 288 17 1355.13 1355.13 NUM eajbcs-826 288 18 , , PUNCT eajbcs-826 288 19 2335 2335 NUM eajbcs-826 288 20 ) ) PUNCT eajbcs-826 288 21 . . PUNCT eajbcs-826 289 1 figurative figurative ADJ eajbcs-826 289 2 description description NOUN eajbcs-826 289 3 of of ADP eajbcs-826 289 4 fuzzy fuzzy ADJ eajbcs-826 289 5 optimal optimal ADJ eajbcs-826 289 6 triangular triangular NOUN eajbcs-826 289 7 cost cost NOUN eajbcs-826 289 8 and and CCONJ eajbcs-826 289 9 triangular triangular NOUN eajbcs-826 289 10 transfer transfer NOUN eajbcs-826 289 11 time time NOUN eajbcs-826 289 12 are be AUX eajbcs-826 289 13 detailed detail VERB eajbcs-826 289 14 in in ADP eajbcs-826 289 15 the the DET eajbcs-826 289 16 figure figure NOUN eajbcs-826 289 17 below below ADV eajbcs-826 289 18 . . PUNCT eajbcs-826 290 1 figure figure VERB eajbcs-826 290 2 1 1 NUM eajbcs-826 290 3 : : PUNCT eajbcs-826 290 4 minimum minimum ADJ eajbcs-826 290 5 fuzzy fuzzy ADJ eajbcs-826 290 6 transportation transportation NOUN eajbcs-826 290 7 cost cost PROPN eajbcs-826 290 8 east east PROPN eajbcs-826 290 9 afr afr PROPN eajbcs-826 290 10 . . PUNCT eajbcs-826 291 1 j. j. PROPN eajbcs-826 291 2 biophys biophys PROPN eajbcs-826 291 3 . . PUNCT eajbcs-826 292 1 comput comput NOUN eajbcs-826 292 2 . . PUNCT eajbcs-826 293 1 sci sci PROPN eajbcs-826 293 2 . . PUNCT eajbcs-826 293 3 ( ( PUNCT eajbcs-826 293 4 2023 2023 NUM eajbcs-826 293 5 ) ) PUNCT eajbcs-826 293 6 , , PUNCT eajbcs-826 293 7 vol vol NOUN eajbcs-826 293 8 . . PROPN eajbcs-826 293 9 4 4 NUM eajbcs-826 293 10 , , PUNCT eajbcs-826 293 11 issue issue NOUN eajbcs-826 293 12 . . PUNCT eajbcs-826 294 1 2 2 NUM eajbcs-826 294 2 , , PUNCT eajbcs-826 294 3 43 43 NUM eajbcs-826 294 4 - - SYM eajbcs-826 294 5 53 53 NUM eajbcs-826 294 6 50 50 NUM eajbcs-826 294 7 figure figure NOUN eajbcs-826 294 8 2 2 NUM eajbcs-826 294 9 : : PUNCT eajbcs-826 294 10 minimum minimum ADJ eajbcs-826 294 11 fuzzy fuzzy ADJ eajbcs-826 294 12 transfer transfer NOUN eajbcs-826 294 13 time time NOUN eajbcs-826 294 14 the the DET eajbcs-826 294 15 defuzzified defuzzifie VERB eajbcs-826 294 16 crisp crisp ADJ eajbcs-826 294 17 motp motp NOUN eajbcs-826 294 18 is be AUX eajbcs-826 294 19 solved solve VERB eajbcs-826 294 20 by by ADP eajbcs-826 294 21 fuzzy fuzzy ADJ eajbcs-826 294 22 programming programming NOUN eajbcs-826 294 23 method method NOUN eajbcs-826 294 24 . . PUNCT eajbcs-826 295 1 using use VERB eajbcs-826 295 2 max max PROPN eajbcs-826 295 3 - - PUNCT eajbcs-826 295 4 min min NOUN eajbcs-826 295 5 operator operator NOUN eajbcs-826 295 6 , , PUNCT eajbcs-826 295 7 the the DET eajbcs-826 295 8 resultant resultant NOUN eajbcs-826 295 9 single single ADJ eajbcs-826 295 10 objective objective ADJ eajbcs-826 295 11 crisp crisp ADJ eajbcs-826 295 12 integer integer NOUN eajbcs-826 295 13 mp mp PROPN eajbcs-826 295 14 problem problem NOUN eajbcs-826 295 15 is be AUX eajbcs-826 295 16 coded code VERB eajbcs-826 295 17 into into ADP eajbcs-826 295 18 lingo lingo NOUN eajbcs-826 295 19 optimization optimization NOUN eajbcs-826 295 20 package package NOUN eajbcs-826 295 21 version version NOUN eajbcs-826 295 22 19.0 19.0 NUM eajbcs-826 295 23 software software NOUN eajbcs-826 295 24 and and CCONJ eajbcs-826 295 25 fuzzy fuzzy ADJ eajbcs-826 295 26 po po NOUN eajbcs-826 295 27 solutions solution NOUN eajbcs-826 295 28 are be AUX eajbcs-826 295 29 obtained obtain VERB eajbcs-826 295 30 . . PUNCT eajbcs-826 296 1 the the DET eajbcs-826 296 2 minimum minimum ADJ eajbcs-826 296 3 total total ADJ eajbcs-826 296 4 fuzzy fuzzy ADJ eajbcs-826 296 5 cost cost NOUN eajbcs-826 296 6 of of ADP eajbcs-826 296 7 transportation transportation NOUN eajbcs-826 296 8 and and CCONJ eajbcs-826 296 9 the the DET eajbcs-826 296 10 minimum minimum ADJ eajbcs-826 296 11 fuzzy fuzzy ADJ eajbcs-826 296 12 transfer transfer NOUN eajbcs-826 296 13 time time NOUN eajbcs-826 296 14 are be AUX eajbcs-826 296 15 obtained obtain VERB eajbcs-826 296 16 and and CCONJ eajbcs-826 296 17 interpreted interpret VERB eajbcs-826 296 18 as as ADP eajbcs-826 296 19 follows follow VERB eajbcs-826 296 20 : : PUNCT eajbcs-826 296 21 fuzzy fuzzy ADJ eajbcs-826 296 22 transportation transportation NOUN eajbcs-826 296 23 cost cost NOUN eajbcs-826 296 24 and and CCONJ eajbcs-826 296 25 fuzzy fuzzy ADJ eajbcs-826 296 26 transfer transfer NOUN eajbcs-826 296 27 time time NOUN eajbcs-826 296 28 z̃1=(6875.31 z̃1=(6875.31 NOUN eajbcs-826 296 29 , , PUNCT eajbcs-826 296 30 10341.77 10341.77 NUM eajbcs-826 296 31 , , PUNCT eajbcs-826 296 32 16075.04 16075.04 NUM eajbcs-826 296 33 ) ) PUNCT eajbcs-826 296 34 and and CCONJ eajbcs-826 296 35 z̃2=(748.32 z̃2=(748.32 PROPN eajbcs-826 296 36 , , PUNCT eajbcs-826 296 37 1355.13 1355.13 NUM eajbcs-826 296 38 , , PUNCT eajbcs-826 296 39 2335 2335 NUM eajbcs-826 296 40 ) ) PUNCT eajbcs-826 296 41 respectively respectively ADV eajbcs-826 296 42 are be AUX eajbcs-826 296 43 calculated calculate VERB eajbcs-826 296 44 by by ADP eajbcs-826 296 45 back back ADJ eajbcs-826 296 46 substitutions substitution NOUN eajbcs-826 296 47 of of ADP eajbcs-826 296 48 po po NOUN eajbcs-826 296 49 solutions solution NOUN eajbcs-826 296 50 into into ADP eajbcs-826 296 51 fuzzy fuzzy ADJ eajbcs-826 296 52 objective objective ADJ eajbcs-826 296 53 functions function NOUN eajbcs-826 296 54 ( ( PUNCT eajbcs-826 296 55 3.1 3.1 NUM eajbcs-826 296 56 ) ) PUNCT eajbcs-826 296 57 of of ADP eajbcs-826 296 58 the the DET eajbcs-826 296 59 the the DET eajbcs-826 296 60 programming programming NOUN eajbcs-826 296 61 problem problem NOUN eajbcs-826 296 62 . . PUNCT eajbcs-826 297 1 it it PRON eajbcs-826 297 2 is be AUX eajbcs-826 297 3 found find VERB eajbcs-826 297 4 that that SCONJ eajbcs-826 297 5 the the DET eajbcs-826 297 6 least least ADJ eajbcs-826 297 7 amounts amount NOUN eajbcs-826 297 8 of of ADP eajbcs-826 297 9 minimum minimum ADJ eajbcs-826 297 10 total total ADJ eajbcs-826 297 11 transportation transportation NOUN eajbcs-826 297 12 cost cost NOUN eajbcs-826 297 13 and and CCONJ eajbcs-826 297 14 transfer transfer NOUN eajbcs-826 297 15 time time NOUN eajbcs-826 297 16 are be AUX eajbcs-826 297 17 6875.31 6875.31 NUM eajbcs-826 297 18 and and CCONJ eajbcs-826 297 19 748.32 748.32 NUM eajbcs-826 297 20 units unit NOUN eajbcs-826 297 21 respectively respectively ADV eajbcs-826 297 22 . . PUNCT eajbcs-826 298 1 the the DET eajbcs-826 298 2 the the DET eajbcs-826 298 3 most most ADV eajbcs-826 298 4 possible possible ADJ eajbcs-826 298 5 amounts amount NOUN eajbcs-826 298 6 of of ADP eajbcs-826 298 7 minimum minimum ADJ eajbcs-826 298 8 total total ADJ eajbcs-826 298 9 transportation transportation NOUN eajbcs-826 298 10 cost cost NOUN eajbcs-826 298 11 and and CCONJ eajbcs-826 298 12 transfer transfer NOUN eajbcs-826 298 13 time time NOUN eajbcs-826 298 14 are be AUX eajbcs-826 298 15 10341.77 10341.77 NUM eajbcs-826 298 16 and and CCONJ eajbcs-826 298 17 1355.13 1355.13 NUM eajbcs-826 298 18 units unit NOUN eajbcs-826 298 19 respectively respectively ADV eajbcs-826 298 20 . . PUNCT eajbcs-826 299 1 furthermore furthermore ADV eajbcs-826 299 2 , , PUNCT eajbcs-826 299 3 the the DET eajbcs-826 299 4 greatest great ADJ eajbcs-826 299 5 amounts amount NOUN eajbcs-826 299 6 of of ADP eajbcs-826 299 7 minimum minimum ADJ eajbcs-826 299 8 total total ADJ eajbcs-826 299 9 transportation transportation NOUN eajbcs-826 299 10 cost cost NOUN eajbcs-826 299 11 and and CCONJ eajbcs-826 299 12 total total ADJ eajbcs-826 299 13 transfer transfer NOUN eajbcs-826 299 14 time time NOUN eajbcs-826 299 15 are be AUX eajbcs-826 299 16 16075.04 16075.04 NUM eajbcs-826 299 17 and and CCONJ eajbcs-826 299 18 2335 2335 NUM eajbcs-826 299 19 units unit NOUN eajbcs-826 299 20 respectively respectively ADV eajbcs-826 299 21 . . PUNCT eajbcs-826 300 1 the the DET eajbcs-826 300 2 classical classical ADJ eajbcs-826 300 3 transportation transportation NOUN eajbcs-826 300 4 problem problem NOUN eajbcs-826 300 5 ( ( PUNCT eajbcs-826 300 6 tp tp NOUN eajbcs-826 300 7 ) ) PUNCT eajbcs-826 300 8 is be AUX eajbcs-826 300 9 primarily primarily ADV eajbcs-826 300 10 concerned concerned ADJ eajbcs-826 300 11 with with ADP eajbcs-826 300 12 distributing distribute VERB eajbcs-826 300 13 any any DET eajbcs-826 300 14 homogeneous homogeneous ADJ eajbcs-826 300 15 product product NOUN eajbcs-826 300 16 from from ADP eajbcs-826 300 17 a a DET eajbcs-826 300 18 group group NOUN eajbcs-826 300 19 of of ADP eajbcs-826 300 20 supply supply NOUN eajbcs-826 300 21 centers center NOUN eajbcs-826 300 22 , , PUNCT eajbcs-826 300 23 known know VERB eajbcs-826 300 24 as as ADP eajbcs-826 300 25 sources source NOUN eajbcs-826 300 26 , , PUNCT eajbcs-826 300 27 to to ADP eajbcs-826 300 28 any any DET eajbcs-826 300 29 group group NOUN eajbcs-826 300 30 of of ADP eajbcs-826 300 31 receiving receive VERB eajbcs-826 300 32 centers center NOUN eajbcs-826 300 33 , , PUNCT eajbcs-826 300 34 known know VERB eajbcs-826 300 35 as as ADP eajbcs-826 300 36 destinations destination NOUN eajbcs-826 300 37 , , PUNCT eajbcs-826 300 38 in in ADP eajbcs-826 300 39 such such DET eajbcs-826 300 40 a a DET eajbcs-826 300 41 way way NOUN eajbcs-826 300 42 that that PRON eajbcs-826 300 43 the the DET eajbcs-826 300 44 single single ADJ eajbcs-826 300 45 objective objective ADJ eajbcs-826 300 46 total total ADJ eajbcs-826 300 47 transportation transportation NOUN eajbcs-826 300 48 cost cost NOUN eajbcs-826 300 49 is be AUX eajbcs-826 300 50 minimized minimize VERB eajbcs-826 300 51 , , PUNCT eajbcs-826 300 52 where where SCONJ eajbcs-826 300 53 all all DET eajbcs-826 300 54 parameters parameter NOUN eajbcs-826 300 55 are be AUX eajbcs-826 300 56 crisp crisp ADJ eajbcs-826 300 57 ( ( PUNCT eajbcs-826 300 58 precisely precisely ADV eajbcs-826 300 59 defined define VERB eajbcs-826 300 60 ) ) PUNCT eajbcs-826 300 61 . . PUNCT eajbcs-826 301 1 however however ADV eajbcs-826 301 2 , , PUNCT eajbcs-826 301 3 in in ADP eajbcs-826 301 4 many many ADJ eajbcs-826 301 5 circumstances circumstance NOUN eajbcs-826 301 6 , , PUNCT eajbcs-826 301 7 the the DET eajbcs-826 301 8 decision decision NOUN eajbcs-826 301 9 maker maker NOUN eajbcs-826 301 10 lacks lack VERB eajbcs-826 301 11 precise precise ADJ eajbcs-826 301 12 knowledge knowledge NOUN eajbcs-826 301 13 of of ADP eajbcs-826 301 14 the the DET eajbcs-826 301 15 tp tp NOUN eajbcs-826 301 16 parameters parameter NOUN eajbcs-826 301 17 . . PUNCT eajbcs-826 302 1 and and CCONJ eajbcs-826 302 2 the the DET eajbcs-826 302 3 nature nature NOUN eajbcs-826 302 4 of of ADP eajbcs-826 302 5 the the DET eajbcs-826 302 6 tps tps NOUN eajbcs-826 302 7 are be AUX eajbcs-826 302 8 not not PART eajbcs-826 302 9 designed design VERB eajbcs-826 302 10 as as ADP eajbcs-826 302 11 single single ADJ eajbcs-826 302 12 objective objective ADJ eajbcs-826 302 13 function function NOUN eajbcs-826 302 14 . . PUNCT eajbcs-826 303 1 if if SCONJ eajbcs-826 303 2 the the DET eajbcs-826 303 3 nature nature NOUN eajbcs-826 303 4 of of ADP eajbcs-826 303 5 the the DET eajbcs-826 303 6 information information NOUN eajbcs-826 303 7 is be AUX eajbcs-826 303 8 vague vague ADJ eajbcs-826 303 9 and and CCONJ eajbcs-826 303 10 the the DET eajbcs-826 303 11 decision decision NOUN eajbcs-826 303 12 maker maker NOUN eajbcs-826 303 13 objectives objective NOUN eajbcs-826 303 14 preference preference NOUN eajbcs-826 303 15 are be AUX eajbcs-826 303 16 conflicting conflict VERB eajbcs-826 303 17 , , PUNCT eajbcs-826 303 18 t t PROPN eajbcs-826 303 19 he he PRON eajbcs-826 303 20 c c VERB eajbcs-826 303 21 orresponding orresponde VERB eajbcs-826 303 22 programming programming NOUN eajbcs-826 303 23 problem problem NOUN eajbcs-826 303 24 is be AUX eajbcs-826 303 25 fuzzy fuzzy ADJ eajbcs-826 303 26 multi multi ADJ eajbcs-826 303 27 - - ADJ eajbcs-826 303 28 objective objective ADJ eajbcs-826 303 29 programming programming NOUN eajbcs-826 303 30 problem problem NOUN eajbcs-826 303 31 , , PUNCT eajbcs-826 303 32 and and CCONJ eajbcs-826 303 33 thus thus ADV eajbcs-826 303 34 fuzzy fuzzy ADJ eajbcs-826 303 35 motp motp NOUN eajbcs-826 303 36 arises arise VERB eajbcs-826 303 37 . . PUNCT eajbcs-826 304 1 in in ADP eajbcs-826 304 2 this this DET eajbcs-826 304 3 paper paper NOUN eajbcs-826 304 4 , , PUNCT eajbcs-826 304 5 we we PRON eajbcs-826 304 6 have have AUX eajbcs-826 304 7 discussed discuss VERB eajbcs-826 304 8 a a DET eajbcs-826 304 9 solution solution NOUN eajbcs-826 304 10 approach approach NOUN eajbcs-826 304 11 for for ADP eajbcs-826 304 12 solving solve VERB eajbcs-826 304 13 tp tp NOUN eajbcs-826 304 14 , , PUNCT eajbcs-826 304 15 with with ADP eajbcs-826 304 16 more more ADJ eajbcs-826 304 17 than than ADP eajbcs-826 304 18 one one NUM eajbcs-826 304 19 objective objective ADJ eajbcs-826 304 20 function function NOUN eajbcs-826 304 21 by by ADP eajbcs-826 304 22 considering consider VERB eajbcs-826 304 23 the the DET eajbcs-826 304 24 presence presence NOUN eajbcs-826 304 25 of of ADP eajbcs-826 304 26 vagueness vagueness NOUN eajbcs-826 304 27 in in ADP eajbcs-826 304 28 the the DET eajbcs-826 304 29 real real ADJ eajbcs-826 304 30 life life NOUN eajbcs-826 304 31 data datum NOUN eajbcs-826 304 32 of of ADP eajbcs-826 304 33 transportation transportation NOUN eajbcs-826 304 34 problems problem NOUN eajbcs-826 304 35 , , PUNCT eajbcs-826 304 36 where where SCONJ eajbcs-826 304 37 all all DET eajbcs-826 304 38 the the DET eajbcs-826 304 39 parameters parameter NOUN eajbcs-826 304 40 and and CCONJ eajbcs-826 304 41 decision decision NOUN eajbcs-826 304 42 variables variable NOUN eajbcs-826 304 43 are be AUX eajbcs-826 304 44 considered consider VERB eajbcs-826 304 45 as as ADP eajbcs-826 304 46 triangular triangular ADJ eajbcs-826 304 47 fuzzy fuzzy ADJ eajbcs-826 304 48 numbers number NOUN eajbcs-826 304 49 . . PUNCT eajbcs-826 305 1 initially initially ADV eajbcs-826 305 2 , , PUNCT eajbcs-826 305 3 the the DET eajbcs-826 305 4 fuzzy fuzzy ADJ eajbcs-826 305 5 objective objective ADJ eajbcs-826 305 6 functions function NOUN eajbcs-826 305 7 are be AUX eajbcs-826 305 8 defuzzified defuzzifie VERB eajbcs-826 305 9 by by ADP eajbcs-826 305 10 applying apply VERB eajbcs-826 305 11 the the DET eajbcs-826 305 12 ranking rank VERB eajbcs-826 305 13 function function NOUN eajbcs-826 305 14 for for ADP eajbcs-826 305 15 trianeast trianeast NOUN eajbcs-826 305 16 afr afr PROPN eajbcs-826 305 17 . . PUNCT eajbcs-826 306 1 j. j. PROPN eajbcs-826 306 2 biophys biophys PROPN eajbcs-826 306 3 . . PUNCT eajbcs-826 307 1 comput comput NOUN eajbcs-826 307 2 . . PUNCT eajbcs-826 308 1 sci sci PROPN eajbcs-826 308 2 . . PUNCT eajbcs-826 308 3 ( ( PUNCT eajbcs-826 308 4 2023 2023 NUM eajbcs-826 308 5 ) ) PUNCT eajbcs-826 308 6 , , PUNCT eajbcs-826 308 7 vol vol NOUN eajbcs-826 308 8 . . PROPN eajbcs-826 308 9 4 4 NUM eajbcs-826 308 10 , , PUNCT eajbcs-826 308 11 issue issue NOUN eajbcs-826 308 12 . . PUNCT eajbcs-826 309 1 2 2 NUM eajbcs-826 309 2 , , PUNCT eajbcs-826 309 3 43 43 NUM eajbcs-826 309 4 - - SYM eajbcs-826 309 5 53 53 NUM eajbcs-826 309 6 51 51 NUM eajbcs-826 309 7 discussion discussion NOUN eajbcs-826 309 8 conclusion conclusion NOUN eajbcs-826 309 9 references reference NOUN eajbcs-826 309 10 acharya acharya PROPN eajbcs-826 309 11 s. s. PROPN eajbcs-826 309 12 , , PUNCT eajbcs-826 309 13 ranarahu ranarahu PROPN eajbcs-826 309 14 n. n. NOUN eajbcs-826 309 15 , , PUNCT eajbcs-826 309 16 dash dash VERB eajbcs-826 309 17 j.k j.k PROPN eajbcs-826 309 18 . . PROPN eajbcs-826 309 19 and and CCONJ eajbcs-826 309 20 acharya acharya PROPN eajbcs-826 309 21 m.m m.m PROPN eajbcs-826 309 22 . . PROPN eajbcs-826 309 23 2014 2014 NUM eajbcs-826 309 24 . . PUNCT eajbcs-826 310 1 acharya acharya PROPN eajbcs-826 310 2 , , PUNCT eajbcs-826 310 3 s. s. PROPN eajbcs-826 310 4 ,etal ,etal PUNCT eajbcs-826 310 5 . . PUNCT eajbcs-826 310 6 ,2014 ,2014 PROPN eajbcs-826 310 7 . . PUNCT eajbcs-826 311 1 computation computation NOUN eajbcs-826 311 2 of of ADP eajbcs-826 311 3 a a DET eajbcs-826 311 4 multi multi ADJ eajbcs-826 311 5 - - ADJ eajbcs-826 311 6 objective objective ADJ eajbcs-826 311 7 fuzzy fuzzy ADJ eajbcs-826 311 8 stochastic stochastic ADJ eajbcs-826 311 9 transportation transportation NOUN eajbcs-826 311 10 problem problem NOUN eajbcs-826 311 11 . . PUNCT eajbcs-826 312 1 international international ADJ eajbcs-826 312 2 journal journal NOUN eajbcs-826 312 3 of of ADP eajbcs-826 312 4 fuzzy fuzzy ADJ eajbcs-826 312 5 computation computation NOUN eajbcs-826 312 6 and and CCONJ eajbcs-826 312 7 modelling model VERB eajbcs-826 312 8 1(2 1(2 NUM eajbcs-826 312 9 ): ): PUNCT eajbcs-826 312 10 212–233 212–233 NUM eajbcs-826 312 11 . . PUNCT eajbcs-826 313 1 buckley buckley PROPN eajbcs-826 313 2 j. j. PROPN eajbcs-826 313 3 1988 1988 NUM eajbcs-826 313 4 . . PUNCT eajbcs-826 314 1 possibilistic possibilistic ADJ eajbcs-826 314 2 linear linear PROPN eajbcs-826 314 3 programming programming NOUN eajbcs-826 314 4 with with ADP eajbcs-826 314 5 triangular triangular ADJ eajbcs-826 314 6 fuzzy fuzzy ADJ eajbcs-826 314 7 numbers number NOUN eajbcs-826 314 8 . . PUNCT eajbcs-826 315 1 fuzzy fuzzy ADJ eajbcs-826 315 2 sets set NOUN eajbcs-826 315 3 syst syst PROPN eajbcs-826 315 4 . . PUNCT eajbcs-826 316 1 26 26 NUM eajbcs-826 316 2 ( ( PUNCT eajbcs-826 316 3 1 1 NUM eajbcs-826 316 4 ) ) PUNCT eajbcs-826 316 5 , , PUNCT eajbcs-826 316 6 135–138 135–138 NUM eajbcs-826 316 7 . . PUNCT eajbcs-826 317 1 buckley buckley PROPN eajbcs-826 317 2 j.1990 j.1990 PROPN eajbcs-826 317 3 . . PUNCT eajbcs-826 318 1 multi multi PROPN eajbcs-826 318 2 objective objective ADJ eajbcs-826 318 3 possibilistic possibilistic ADJ eajbcs-826 318 4 linear linear PROPN eajbcs-826 318 5 programming programming NOUN eajbcs-826 318 6 . . PUNCT eajbcs-826 319 1 fuzzy fuzzy ADJ eajbcs-826 319 2 sets set NOUN eajbcs-826 319 3 syst syst NOUN eajbcs-826 319 4 . . PUNCT eajbcs-826 320 1 35(1 35(1 NUM eajbcs-826 320 2 ): ): PUNCT eajbcs-826 320 3 23–28 23–28 NUM eajbcs-826 320 4 . . PUNCT eajbcs-826 321 1 chakraborty chakraborty PROPN eajbcs-826 321 2 a. a. PROPN eajbcs-826 321 3 and and CCONJ eajbcs-826 321 4 chakraborty chakraborty PROPN eajbcs-826 321 5 m. m. PROPN eajbcs-826 321 6 2010 2010 NUM eajbcs-826 321 7 . . PUNCT eajbcs-826 322 1 cost cost NOUN eajbcs-826 322 2 - - PUNCT eajbcs-826 322 3 time time NOUN eajbcs-826 322 4 minimization minimization NOUN eajbcs-826 322 5 in in ADP eajbcs-826 322 6 a a DET eajbcs-826 322 7 transportation transportation NOUN eajbcs-826 322 8 problem problem NOUN eajbcs-826 322 9 with with ADP eajbcs-826 322 10 fuzzy fuzzy ADJ eajbcs-826 322 11 parameters parameter NOUN eajbcs-826 322 12 : : PUNCT eajbcs-826 322 13 a a DET eajbcs-826 322 14 case case NOUN eajbcs-826 322 15 study study NOUN eajbcs-826 322 16 . . PUNCT eajbcs-826 323 1 j. j. PROPN eajbcs-826 323 2 transp transp PROPN eajbcs-826 323 3 . . PUNCT eajbcs-826 324 1 syst syst PROPN eajbcs-826 324 2 . . PUNCT eajbcs-826 325 1 eng eng PROPN eajbcs-826 325 2 . . PROPN eajbcs-826 325 3 inf inf PROPN eajbcs-826 325 4 . . PUNCT eajbcs-826 325 5 technol technol PROPN eajbcs-826 325 6 . . PUNCT eajbcs-826 326 1 10(6):53–63 10(6):53–63 NUM eajbcs-826 326 2 . . PUNCT eajbcs-826 326 3 das das PROPN eajbcs-826 326 4 a. a. PROPN eajbcs-826 326 5 , , PUNCT eajbcs-826 326 6 bera bera PROPN eajbcs-826 326 7 u.k u.k PROPN eajbcs-826 326 8 . . PROPN eajbcs-826 326 9 , , PUNCT eajbcs-826 326 10 and and CCONJ eajbcs-826 326 11 das das PROPN eajbcs-826 326 12 b. b. PROPN eajbcs-826 326 13 2016 2016 NUM eajbcs-826 326 14 . . PUNCT eajbcs-826 327 1 a a DET eajbcs-826 327 2 solid solid ADJ eajbcs-826 327 3 transportation transportation NOUN eajbcs-826 327 4 problem problem NOUN eajbcs-826 327 5 with with ADP eajbcs-826 327 6 mixed mixed ADJ eajbcs-826 327 7 constraint constraint NOUN eajbcs-826 327 8 in in ADP eajbcs-826 327 9 different different ADJ eajbcs-826 327 10 environment environment NOUN eajbcs-826 327 11 . . PUNCT eajbcs-826 328 1 j. j. PROPN eajbcs-826 328 2 appl appl PROPN eajbcs-826 328 3 . . PROPN eajbcs-826 329 1 anal anal PROPN eajbcs-826 329 2 . . PUNCT eajbcs-826 330 1 comput comput NOUN eajbcs-826 330 2 . . PUNCT eajbcs-826 331 1 6(1 6(1 NUM eajbcs-826 331 2 ): ): PUNCT eajbcs-826 331 3 179–195 179–195 NUM eajbcs-826 331 4 . . PUNCT eajbcs-826 332 1 dutta dutta PROPN eajbcs-826 332 2 s. s. PROPN eajbcs-826 332 3 , , PUNCT eajbcs-826 332 4 acharya acharya PROPN eajbcs-826 332 5 s. s. PROPN eajbcs-826 332 6 and and CCONJ eajbcs-826 332 7 mishra mishra PROPN eajbcs-826 332 8 r. r. PROPN eajbcs-826 332 9 2016 2016 NUM eajbcs-826 332 10 . . PUNCT eajbcs-826 333 1 genetic genetic ADJ eajbcs-826 333 2 algorithm algorithm NOUN eajbcs-826 333 3 based base VERB eajbcs-826 333 4 fuzzy fuzzy ADJ eajbcs-826 333 5 stochastic stochastic ADJ eajbcs-826 333 6 transportation transportation NOUN eajbcs-826 333 7 programming programming NOUN eajbcs-826 333 8 problem problem NOUN eajbcs-826 333 9 with with ADP eajbcs-826 333 10 continuous continuous ADJ eajbcs-826 333 11 random random ADJ eajbcs-826 333 12 variables variable NOUN eajbcs-826 333 13 . . PUNCT eajbcs-826 334 1 opsearch opsearch PROPN eajbcs-826 334 2 53(4 53(4 PROPN eajbcs-826 334 3 ): ): PUNCT eajbcs-826 334 4 835–872 835–872 NUM eajbcs-826 334 5 . . PUNCT eajbcs-826 335 1 ebrahimnejad ebrahimnejad PROPN eajbcs-826 335 2 a. a. PROPN eajbcs-826 335 3 2013 2013 NUM eajbcs-826 335 4 . . PUNCT eajbcs-826 336 1 tableau tableau PROPN eajbcs-826 336 2 form form NOUN eajbcs-826 336 3 of of ADP eajbcs-826 336 4 the the DET eajbcs-826 336 5 fuzzy fuzzy ADJ eajbcs-826 336 6 primaldual primaldual ADJ eajbcs-826 336 7 simplex simplex NOUN eajbcs-826 336 8 algorithm algorithm NOUN eajbcs-826 336 9 for for ADP eajbcs-826 336 10 solving solve VERB eajbcs-826 336 11 linear linear ADJ eajbcs-826 336 12 programmes programme NOUN eajbcs-826 336 13 with with ADP eajbcs-826 336 14 trapezoidal trapezoidal ADJ eajbcs-826 336 15 fuzzy fuzzy ADJ eajbcs-826 336 16 numbers number NOUN eajbcs-826 336 17 . . PUNCT eajbcs-826 337 1 int int NOUN eajbcs-826 337 2 . . PUNCT eajbcs-826 338 1 j. j. PROPN eajbcs-826 338 2 oper oper PROPN eajbcs-826 338 3 . . PUNCT eajbcs-826 339 1 res res PROPN eajbcs-826 339 2 . . PROPN eajbcs-826 339 3 , , PUNCT eajbcs-826 339 4 18 18 NUM eajbcs-826 339 5 ( ( PUNCT eajbcs-826 339 6 2 2 NUM eajbcs-826 339 7 ) ) PUNCT eajbcs-826 339 8 , , PUNCT eajbcs-826 339 9 123–139 123–139 NUM eajbcs-826 339 10 . . PUNCT eajbcs-826 340 1 ebrahimnejad ebrahimnejad PROPN eajbcs-826 340 2 a. a. NOUN eajbcs-826 340 3 2015.a 2015.a PROPN eajbcs-826 340 4 duality duality NOUN eajbcs-826 340 5 approach approach NOUN eajbcs-826 340 6 for for ADP eajbcs-826 340 7 solving solve VERB eajbcs-826 340 8 bounded bound VERB eajbcs-826 340 9 linear linear ADJ eajbcs-826 340 10 programming programming NOUN eajbcs-826 340 11 problems problem NOUN eajbcs-826 340 12 with with ADP eajbcs-826 340 13 fuzzy fuzzy ADJ eajbcs-826 340 14 variables variable NOUN eajbcs-826 340 15 based base VERB eajbcs-826 340 16 on on ADP eajbcs-826 340 17 ranking ranking NOUN eajbcs-826 340 18 functions function NOUN eajbcs-826 340 19 and and CCONJ eajbcs-826 340 20 its its PRON eajbcs-826 340 21 application application NOUN eajbcs-826 340 22 in in ADP eajbcs-826 340 23 bounded bounded ADJ eajbcs-826 340 24 transportation transportation NOUN eajbcs-826 340 25 problems problem NOUN eajbcs-826 340 26 . . PUNCT eajbcs-826 341 1 int int NOUN eajbcs-826 341 2 . . PUNCT eajbcs-826 342 1 j. j. PROPN eajbcs-826 342 2 syst syst PROPN eajbcs-826 342 3 . . PUNCT eajbcs-826 343 1 sci sci PROPN eajbcs-826 343 2 . . PUNCT eajbcs-826 344 1 46(11 46(11 NUM eajbcs-826 344 2 ): ): PUNCT eajbcs-826 344 3 2048–2060 2048–2060 NOUN eajbcs-826 344 4 . . PUNCT eajbcs-826 345 1 ebrahimnejad ebrahimnejad PROPN eajbcs-826 345 2 a. a. PROPN eajbcs-826 345 3 2017 2017 NUM eajbcs-826 345 4 . . PUNCT eajbcs-826 346 1 a a DET eajbcs-826 346 2 lexicographic lexicographic ADJ eajbcs-826 346 3 ordering ordering NOUN eajbcs-826 346 4 - - PUNCT eajbcs-826 346 5 based base VERB eajbcs-826 346 6 approach approach NOUN eajbcs-826 346 7 for for ADP eajbcs-826 346 8 solving solve VERB eajbcs-826 346 9 fuzzy fuzzy ADJ eajbcs-826 346 10 transportation transportation NOUN eajbcs-826 346 11 problems problem NOUN eajbcs-826 346 12 with with ADP eajbcs-826 346 13 triangular triangular ADJ eajbcs-826 346 14 fuzzy fuzzy ADJ eajbcs-826 346 15 numbers number NOUN eajbcs-826 346 16 . . PUNCT eajbcs-826 347 1 int int NOUN eajbcs-826 347 2 . . PUNCT eajbcs-826 348 1 j. j. PROPN eajbcs-826 348 2 manag manag PROPN eajbcs-826 348 3 . . PUNCT eajbcs-826 349 1 decis decis PROPN eajbcs-826 349 2 . . PROPN eajbcs-826 349 3 mak mak PROPN eajbcs-826 349 4 . . PROPN eajbcs-826 350 1 16 16 NUM eajbcs-826 350 2 ( ( PUNCT eajbcs-826 350 3 4 4 NUM eajbcs-826 350 4 ): ): PUNCT eajbcs-826 350 5 346–374 346–374 NUM eajbcs-826 350 6 . . PUNCT eajbcs-826 351 1 el el PROPN eajbcs-826 351 2 sayed say VERB eajbcs-826 351 3 m. m. NOUN eajbcs-826 351 4 and and CCONJ eajbcs-826 351 5 abo abo NOUN eajbcs-826 351 6 - - PUNCT eajbcs-826 351 7 sinna sinna NOUN eajbcs-826 351 8 m.a m.a PROPN eajbcs-826 351 9 . . PROPN eajbcs-826 351 10 2021 2021 NUM eajbcs-826 351 11 . . PUNCT eajbcs-826 352 1 a a DET eajbcs-826 352 2 novel novel ADJ eajbcs-826 352 3 approach approach NOUN eajbcs-826 352 4 for for ADP eajbcs-826 352 5 fully fully ADV eajbcs-826 352 6 intuitionistic intuitionistic ADJ eajbcs-826 352 7 fuzzy fuzzy ADJ eajbcs-826 352 8 multi multi ADJ eajbcs-826 352 9 objective objective ADJ eajbcs-826 352 10 fractional fractional ADJ eajbcs-826 352 11 transportation transportation NOUN eajbcs-826 352 12 problem problem NOUN eajbcs-826 352 13 . . PUNCT eajbcs-826 353 1 alex alex PROPN eajbcs-826 353 2 . . PUNCT eajbcs-826 354 1 eng eng PROPN eajbcs-826 354 2 . . PUNCT eajbcs-826 355 1 j. j. PROPN eajbcs-826 355 2 60(1 60(1 PROPN eajbcs-826 355 3 ): ): PUNCT eajbcs-826 355 4 1447–1463 1447–1463 NUM eajbcs-826 355 5 . . PUNCT eajbcs-826 356 1 geshniani geshniani PROPN eajbcs-826 356 2 y.v y.v PROPN eajbcs-826 356 3 . . PROPN eajbcs-826 356 4 , , PUNCT eajbcs-826 356 5 kamranrad kamranrad PROPN eajbcs-826 356 6 r. r. PROPN eajbcs-826 356 7 and and CCONJ eajbcs-826 356 8 emami emami PROPN eajbcs-826 356 9 i. i. PROPN eajbcs-826 356 10 2020 2020 NUM eajbcs-826 356 11 . . PUNCT eajbcs-826 357 1 amulti amulti ADJ eajbcs-826 357 2 - - ADJ eajbcs-826 357 3 objective objective ADJ eajbcs-826 357 4 scheduling scheduling NOUN eajbcs-826 357 5 payment payment NOUN eajbcs-826 357 6 pattern pattern NOUN eajbcs-826 357 7 for for ADP eajbcs-826 357 8 project project NOUN eajbcs-826 357 9 cash cash NOUN eajbcs-826 357 10 flow flow NOUN eajbcs-826 357 11 by by ADP eajbcs-826 357 12 considering consider VERB eajbcs-826 357 13 resource resource NOUN eajbcs-826 357 14 constraints constraint NOUN eajbcs-826 357 15 ( ( PUNCT eajbcs-826 357 16 a a DET eajbcs-826 357 17 case case NOUN eajbcs-826 357 18 study study NOUN eajbcs-826 357 19 in in ADP eajbcs-826 357 20 power power NOUN eajbcs-826 357 21 transfer transfer NOUN eajbcs-826 357 22 system system NOUN eajbcs-826 357 23 ) ) PUNCT eajbcs-826 357 24 . . PUNCT eajbcs-826 358 1 int int NOUN eajbcs-826 358 2 . . PUNCT eajbcs-826 359 1 j. j. PROPN eajbcs-826 359 2 ind ind PROPN eajbcs-826 359 3 . . PUNCT eajbcs-826 360 1 syst syst PROPN eajbcs-826 360 2 . . PUNCT eajbcs-826 361 1 eng eng PROPN eajbcs-826 361 2 . . PROPN eajbcs-826 361 3 35(3 35(3 NUM eajbcs-826 361 4 ): ): PUNCT eajbcs-826 362 1 299–313 299–313 NUM eajbcs-826 362 2 . . PUNCT eajbcs-826 362 3 hasan hasan PROPN eajbcs-826 362 4 m. m. PROPN eajbcs-826 362 5 2015 2015 NUM eajbcs-826 362 6 . . PUNCT eajbcs-826 363 1 formulation formulation NOUN eajbcs-826 363 2 and and CCONJ eajbcs-826 363 3 optimization optimization NOUN eajbcs-826 363 4 of of ADP eajbcs-826 363 5 a a DET eajbcs-826 363 6 three three NUM eajbcs-826 363 7 echelon echelon NOUN eajbcs-826 363 8 multi multi ADJ eajbcs-826 363 9 - - ADJ eajbcs-826 363 10 objective objective ADJ eajbcs-826 363 11 supply supply NOUN eajbcs-826 363 12 chain chain NOUN eajbcs-826 363 13 network network NOUN eajbcs-826 363 14 design design NOUN eajbcs-826 363 15 model model NOUN eajbcs-826 363 16 under under ADP eajbcs-826 363 17 scenario scenario NOUN eajbcs-826 363 18 based base VERB eajbcs-826 363 19 uncertainty uncertainty NOUN eajbcs-826 363 20 . . PUNCT eajbcs-826 364 1 m.sc m.sc PROPN eajbcs-826 364 2 . . PUNCT eajbcs-826 365 1 thesis thesis NOUN eajbcs-826 365 2 , , PUNCT eajbcs-826 365 3 department department NOUN eajbcs-826 365 4 of of ADP eajbcs-826 365 5 industrial industrial ADJ eajbcs-826 365 6 and and CCONJ eajbcs-826 365 7 production production NOUN eajbcs-826 365 8 engineering engineering NOUN eajbcs-826 365 9 bangladesh bangladesh PROPN eajbcs-826 365 10 , , PUNCT eajbcs-826 365 11 university university NOUN eajbcs-826 365 12 of of ADP eajbcs-826 365 13 engineering engineering NOUN eajbcs-826 365 14 and and CCONJ eajbcs-826 365 15 technology technology NOUN eajbcs-826 365 16 dhaka dhaka PROPN eajbcs-826 365 17 , , PUNCT eajbcs-826 365 18 bangladesh bangladesh PROPN eajbcs-826 365 19 hitchcock hitchcock PROPN eajbcs-826 365 20 f.l f.l PROPN eajbcs-826 365 21 . . PUNCT eajbcs-826 366 1 1941.the 1941.the DET eajbcs-826 366 2 distribution distribution NOUN eajbcs-826 366 3 of of ADP eajbcs-826 366 4 a a DET eajbcs-826 366 5 product product NOUN eajbcs-826 366 6 from from ADP eajbcs-826 366 7 several several ADJ eajbcs-826 366 8 sources source NOUN eajbcs-826 366 9 to to ADP eajbcs-826 366 10 numerous numerous ADJ eajbcs-826 366 11 localities locality NOUN eajbcs-826 366 12 . . PUNCT eajbcs-826 367 1 j. j. PROPN eajbcs-826 367 2 math math PROPN eajbcs-826 367 3 . . PUNCT eajbcs-826 368 1 phys phy NOUN eajbcs-826 368 2 . . PUNCT eajbcs-826 369 1 20(1 20(1 NUM eajbcs-826 369 2 - - SYM eajbcs-826 369 3 4 4 NUM eajbcs-826 369 4 ): ): PUNCT eajbcs-826 369 5 224–230 224–230 NUM eajbcs-826 369 6 . . PUNCT eajbcs-826 370 1 jalil jalil PROPN eajbcs-826 370 2 s.a s.a PROPN eajbcs-826 370 3 . . PROPN eajbcs-826 370 4 sadia sadia PROPN eajbcs-826 370 5 s. s. PROPN eajbcs-826 370 6 , , PUNCT eajbcs-826 370 7 javaid javaid VERB eajbcs-826 370 8 s. s. PROPN eajbcs-826 370 9 and and CCONJ eajbcs-826 370 10 ali ali PROPN eajbcs-826 370 11 q.m q.m PROPN eajbcs-826 370 12 . . PROPN eajbcs-826 370 13 2017 2017 NUM eajbcs-826 370 14 . . PUNCT eajbcs-826 371 1 a a DET eajbcs-826 371 2 solution solution NOUN eajbcs-826 371 3 approach approach NOUN eajbcs-826 371 4 for for ADP eajbcs-826 371 5 solving solve VERB eajbcs-826 371 6 fully fully ADV eajbcs-826 371 7 fuzzy fuzzy ADJ eajbcs-826 371 8 multi multi ADJ eajbcs-826 371 9 objective objective ADJ eajbcs-826 371 10 solid solid ADJ eajbcs-826 371 11 transportation transportation NOUN eajbcs-826 371 12 problem problem NOUN eajbcs-826 371 13 . . PUNCT eajbcs-826 372 1 int int PROPN eajbcs-826 372 2 j j PROPN eajbcs-826 372 3 agric agric PROPN eajbcs-826 372 4 stat stat PROPN eajbcs-826 372 5 sci sci PROPN eajbcs-826 372 6 . . PROPN eajbcs-826 372 7 13 13 NUM eajbcs-826 372 8 ( ( PUNCT eajbcs-826 372 9 1 1 NUM eajbcs-826 372 10 ): ): PUNCT eajbcs-826 372 11 75–84 75–84 NOUN eajbcs-826 372 12 . . PUNCT eajbcs-826 373 1 kaur kaur PROPN eajbcs-826 373 2 a. a. PROPN eajbcs-826 373 3 and and CCONJ eajbcs-826 373 4 kumar kumar PROPN eajbcs-826 373 5 a. a. PROPN eajbcs-826 373 6 2012 2012 NUM eajbcs-826 373 7 . . PUNCT eajbcs-826 374 1 a a DET eajbcs-826 374 2 new new ADJ eajbcs-826 374 3 approach approach NOUN eajbcs-826 374 4 for for ADP eajbcs-826 374 5 solving solve VERB eajbcs-826 374 6 fuzzy fuzzy ADJ eajbcs-826 374 7 transportation transportation NOUN eajbcs-826 374 8 problems problem NOUN eajbcs-826 374 9 using use VERB eajbcs-826 374 10 generalized generalized ADJ eajbcs-826 374 11 trapezoidal trapezoidal ADJ eajbcs-826 374 12 fuzzy fuzzy ADJ eajbcs-826 374 13 numbers number NOUN eajbcs-826 374 14 . . PUNCT eajbcs-826 375 1 appl appl PROPN eajbcs-826 375 2 . . PUNCT eajbcs-826 375 3 soft soft ADJ eajbcs-826 375 4 comput comput NOUN eajbcs-826 375 5 . . PUNCT eajbcs-826 376 1 12 12 NUM eajbcs-826 376 2 ( ( PUNCT eajbcs-826 376 3 3 3 NUM eajbcs-826 376 4 ): ): PUNCT eajbcs-826 376 5 1201–1213 1201–1213 NOUN eajbcs-826 376 6 . . PUNCT eajbcs-826 377 1 kumar kumar PROPN eajbcs-826 377 2 a. a. PROPN eajbcs-826 377 3 and and CCONJ eajbcs-826 377 4 kaur kaur PROPN eajbcs-826 377 5 a. a. PROPN eajbcs-826 377 6 2011 2011 NUM eajbcs-826 377 7 . . PUNCT eajbcs-826 378 1 application application NOUN eajbcs-826 378 2 of of ADP eajbcs-826 378 3 classical classical ADJ eajbcs-826 378 4 transportation transportation NOUN eajbcs-826 378 5 methods method NOUN eajbcs-826 378 6 to to PART eajbcs-826 378 7 find find VERB eajbcs-826 378 8 the the DET eajbcs-826 378 9 fuzzy fuzzy ADJ eajbcs-826 378 10 optimal optimal ADJ eajbcs-826 378 11 solution solution NOUN eajbcs-826 378 12 of of ADP eajbcs-826 378 13 fuzzy fuzzy ADJ eajbcs-826 378 14 transportation transportation NOUN eajbcs-826 378 15 problems problem NOUN eajbcs-826 378 16 . . PUNCT eajbcs-826 379 1 fuzzy fuzzy PROPN eajbcs-826 379 2 inf inf PROPN eajbcs-826 379 3 . . PUNCT eajbcs-826 380 1 eng eng PROPN eajbcs-826 380 2 . . PROPN eajbcs-826 380 3 3 3 NUM eajbcs-826 380 4 ( ( PUNCT eajbcs-826 380 5 1 1 NUM eajbcs-826 380 6 ): ): PUNCT eajbcs-826 380 7 81–99 81–99 NUM eajbcs-826 380 8 . . PUNCT eajbcs-826 381 1 gular gular ADJ eajbcs-826 381 2 fuzzy fuzzy ADJ eajbcs-826 381 3 numbers number NOUN eajbcs-826 381 4 on on ADP eajbcs-826 381 5 each each DET eajbcs-826 381 6 individual individual ADJ eajbcs-826 381 7 objective objective ADJ eajbcs-826 381 8 function function NOUN eajbcs-826 381 9 . . PUNCT eajbcs-826 382 1 the the DET eajbcs-826 382 2 equality equality NOUN eajbcs-826 382 3 constraints constraint NOUN eajbcs-826 382 4 involved involve VERB eajbcs-826 382 5 in in ADP eajbcs-826 382 6 the the DET eajbcs-826 382 7 multi multi ADJ eajbcs-826 382 8 - - ADJ eajbcs-826 382 9 objective objective ADJ eajbcs-826 382 10 tp tp NOUN eajbcs-826 382 11 model model NOUN eajbcs-826 382 12 with with ADP eajbcs-826 382 13 fuzzy fuzzy ADJ eajbcs-826 382 14 parameters parameter NOUN eajbcs-826 382 15 are be AUX eajbcs-826 382 16 converted convert VERB eajbcs-826 382 17 to to ADP eajbcs-826 382 18 their their PRON eajbcs-826 382 19 crisp crisp ADJ eajbcs-826 382 20 equivalent equivalent NOUN eajbcs-826 382 21 by by ADP eajbcs-826 382 22 using use VERB eajbcs-826 382 23 the the DET eajbcs-826 382 24 property property NOUN eajbcs-826 382 25 of of ADP eajbcs-826 382 26 equality equality NOUN eajbcs-826 382 27 among among ADP eajbcs-826 382 28 the the DET eajbcs-826 382 29 fuzzy fuzzy ADJ eajbcs-826 382 30 numbers number NOUN eajbcs-826 382 31 . . PUNCT eajbcs-826 383 1 finally finally ADV eajbcs-826 383 2 fuzzy fuzzy ADJ eajbcs-826 383 3 programming programming NOUN eajbcs-826 383 4 approach approach NOUN eajbcs-826 383 5 is be AUX eajbcs-826 383 6 used use VERB eajbcs-826 383 7 to to PART eajbcs-826 383 8 find find VERB eajbcs-826 383 9 the the DET eajbcs-826 383 10 compromise compromise NOUN eajbcs-826 383 11 solution solution NOUN eajbcs-826 383 12 of of ADP eajbcs-826 383 13 the the DET eajbcs-826 383 14 crisp crisp ADJ eajbcs-826 383 15 multi multi ADJ eajbcs-826 383 16 - - ADJ eajbcs-826 383 17 objective objective ADJ eajbcs-826 383 18 programming programming NOUN eajbcs-826 383 19 problem problem NOUN eajbcs-826 383 20 . . PUNCT eajbcs-826 384 1 optimization optimization NOUN eajbcs-826 384 2 solver solver NOUN eajbcs-826 384 3 , , PUNCT eajbcs-826 384 4 lingo lingo NOUN eajbcs-826 384 5 schrage schrage NOUN eajbcs-826 384 6 and and CCONJ eajbcs-826 384 7 lindo lindo PROPN eajbcs-826 384 8 systems system NOUN eajbcs-826 384 9 ( ( PUNCT eajbcs-826 384 10 1997 1997 NUM eajbcs-826 384 11 ) ) PUNCT eajbcs-826 384 12 , , PUNCT eajbcs-826 384 13 is be AUX eajbcs-826 384 14 used use VERB eajbcs-826 384 15 to to PART eajbcs-826 384 16 solve solve VERB eajbcs-826 384 17 one one NUM eajbcs-826 384 18 application application NOUN eajbcs-826 384 19 example example NOUN eajbcs-826 384 20 by by ADP eajbcs-826 384 21 proposed propose VERB eajbcs-826 384 22 method method NOUN eajbcs-826 384 23 and and CCONJ eajbcs-826 384 24 solutions solution NOUN eajbcs-826 384 25 and and CCONJ eajbcs-826 384 26 findings finding NOUN eajbcs-826 384 27 are be AUX eajbcs-826 384 28 discussed discuss VERB eajbcs-826 384 29 in in ADP eajbcs-826 384 30 detail detail NOUN eajbcs-826 384 31 . . PUNCT eajbcs-826 385 1 as as SCONJ eajbcs-826 385 2 the the DET eajbcs-826 385 3 fuzzy fuzzy ADJ eajbcs-826 385 4 technique technique NOUN eajbcs-826 385 5 is be AUX eajbcs-826 385 6 often often ADV eajbcs-826 385 7 employed employ VERB eajbcs-826 385 8 to to PART eajbcs-826 385 9 model model VERB eajbcs-826 385 10 many many ADJ eajbcs-826 385 11 real real ADJ eajbcs-826 385 12 - - PUNCT eajbcs-826 385 13 world world NOUN eajbcs-826 385 14 situations situation NOUN eajbcs-826 385 15 , , PUNCT eajbcs-826 385 16 including include VERB eajbcs-826 385 17 supply supply NOUN eajbcs-826 385 18 chain chain NOUN eajbcs-826 385 19 modeling modeling NOUN eajbcs-826 385 20 , , PUNCT eajbcs-826 385 21 information information NOUN eajbcs-826 385 22 theory theory NOUN eajbcs-826 385 23 problems problem NOUN eajbcs-826 385 24 , , PUNCT eajbcs-826 385 25 inventory inventory NOUN eajbcs-826 385 26 operations operation NOUN eajbcs-826 385 27 problems problem NOUN eajbcs-826 385 28 etc etc X eajbcs-826 385 29 . . X eajbcs-826 385 30 , , PUNCT eajbcs-826 385 31 the the DET eajbcs-826 385 32 suggested suggest VERB eajbcs-826 385 33 method method NOUN eajbcs-826 385 34 may may AUX eajbcs-826 385 35 eventually eventually ADV eajbcs-826 385 36 be be AUX eajbcs-826 385 37 extended extend VERB eajbcs-826 385 38 to to PART eajbcs-826 385 39 address address VERB eajbcs-826 385 40 such such ADJ eajbcs-826 385 41 optimization optimization NOUN eajbcs-826 385 42 problems problem NOUN eajbcs-826 385 43 . . PUNCT eajbcs-826 386 1 we we PRON eajbcs-826 386 2 , , PUNCT eajbcs-826 386 3 the the DET eajbcs-826 386 4 authors author NOUN eajbcs-826 386 5 , , PUNCT eajbcs-826 386 6 would would AUX eajbcs-826 386 7 like like VERB eajbcs-826 386 8 to to PART eajbcs-826 386 9 express express VERB eajbcs-826 386 10 our our PRON eajbcs-826 386 11 gratitude gratitude NOUN eajbcs-826 386 12 to to ADP eajbcs-826 386 13 editors editor NOUN eajbcs-826 386 14 and and CCONJ eajbcs-826 386 15 the the DET eajbcs-826 386 16 anonymous anonymous ADJ eajbcs-826 386 17 reviewers reviewer NOUN eajbcs-826 386 18 for for ADP eajbcs-826 386 19 their their PRON eajbcs-826 386 20 valuable valuable ADJ eajbcs-826 386 21 suggestions suggestion NOUN eajbcs-826 386 22 which which PRON eajbcs-826 386 23 improved improve VERB eajbcs-826 386 24 the the DET eajbcs-826 386 25 quality quality NOUN eajbcs-826 386 26 of of ADP eajbcs-826 386 27 this this DET eajbcs-826 386 28 work work NOUN eajbcs-826 386 29 . . PUNCT eajbcs-826 387 1 we we PRON eajbcs-826 387 2 also also ADV eajbcs-826 387 3 would would AUX eajbcs-826 387 4 like like VERB eajbcs-826 387 5 to to PART eajbcs-826 387 6 acknowledge acknowledge VERB eajbcs-826 387 7 the the DET eajbcs-826 387 8 researchers researcher NOUN eajbcs-826 387 9 whose whose DET eajbcs-826 387 10 findings finding NOUN eajbcs-826 387 11 we we PRON eajbcs-826 387 12 have have AUX eajbcs-826 387 13 mentioned mention VERB eajbcs-826 387 14 in in ADP eajbcs-826 387 15 this this DET eajbcs-826 387 16 study study NOUN eajbcs-826 387 17 . . PUNCT eajbcs-826 388 1 east east PROPN eajbcs-826 388 2 afr afr PROPN eajbcs-826 388 3 . . PUNCT eajbcs-826 389 1 j. j. PROPN eajbcs-826 389 2 biophys biophys PROPN eajbcs-826 389 3 . . PUNCT eajbcs-826 390 1 comput comput NOUN eajbcs-826 390 2 . . PUNCT eajbcs-826 391 1 sci sci PROPN eajbcs-826 391 2 . . PUNCT eajbcs-826 391 3 ( ( PUNCT eajbcs-826 391 4 2023 2023 NUM eajbcs-826 391 5 ) ) PUNCT eajbcs-826 391 6 , , PUNCT eajbcs-826 391 7 vol vol NOUN eajbcs-826 391 8 . . PROPN eajbcs-826 391 9 4 4 NUM eajbcs-826 391 10 , , PUNCT eajbcs-826 391 11 issue issue NOUN eajbcs-826 391 12 . . PUNCT eajbcs-826 392 1 2 2 NUM eajbcs-826 392 2 , , PUNCT eajbcs-826 392 3 43 43 NUM eajbcs-826 392 4 - - SYM eajbcs-826 392 5 53 53 NUM eajbcs-826 392 6 52 52 NUM eajbcs-826 392 7 acknowledgments acknowledgment NOUN eajbcs-826 392 8 https://www.inderscienceonline.com/doi/epdf/10.1504/ijfcm.2014.067129 https://www.inderscienceonline.com/doi/epdf/10.1504/ijfcm.2014.067129 PROPN eajbcs-826 392 9 https://www.inderscienceonline.com/doi/epdf/10.1504/ijfcm.2014.067129 https://www.inderscienceonline.com/doi/epdf/10.1504/ijfcm.2014.067129 PROPN eajbcs-826 392 10 https://www.inderscienceonline.com/doi/epdf/10.1504/ijfcm.2014.067129 https://www.inderscienceonline.com/doi/epdf/10.1504/ijfcm.2014.067129 PROPN eajbcs-826 392 11 https://www.inderscienceonline.com/doi/epdf/10.1504/ijfcm.2014.067129 https://www.inderscienceonline.com/doi/epdf/10.1504/ijfcm.2014.067129 PRON eajbcs-826 392 12 https://www.inderscienceonline.com/journal/ijfcm https://www.inderscienceonline.com/journal/ijfcm PROPN eajbcs-826 392 13 https://www.inderscienceonline.com/journal/ijfcm https://www.inderscienceonline.com/journal/ijfcm PROPN eajbcs-826 392 14 kumar kumar PROPN eajbcs-826 392 15 a. a. PROPN eajbcs-826 392 16 , , PUNCT eajbcs-826 392 17 kaur kaur PROPN eajbcs-826 392 18 j. j. PROPN eajbcs-826 392 19 and and CCONJ eajbcs-826 392 20 singh singh PROPN eajbcs-826 392 21 p. p. PROPN eajbcs-826 392 22 2011 2011 NUM eajbcs-826 392 23 . . PUNCT eajbcs-826 393 1 a a DET eajbcs-826 393 2 new new ADJ eajbcs-826 393 3 method method NOUN eajbcs-826 393 4 for for ADP eajbcs-826 393 5 solving solve VERB eajbcs-826 393 6 fully fully ADV eajbcs-826 393 7 fuzzy fuzzy ADJ eajbcs-826 393 8 linear linear ADJ eajbcs-826 393 9 programming programming NOUN eajbcs-826 393 10 problems problem NOUN eajbcs-826 393 11 . . PUNCT eajbcs-826 394 1 appl appl PROPN eajbcs-826 394 2 . . PROPN eajbcs-826 394 3 math math PROPN eajbcs-826 394 4 . . PUNCT eajbcs-826 395 1 model model NOUN eajbcs-826 395 2 . . PUNCT eajbcs-826 396 1 35(2 35(2 NUM eajbcs-826 396 2 ): ): PUNCT eajbcs-826 396 3 817–823 817–823 NUM eajbcs-826 396 4 . . PUNCT eajbcs-826 396 5 malik malik PROPN eajbcs-826 396 6 m. m. PROPN eajbcs-826 396 7 and and CCONJ eajbcs-826 396 8 gupta gupta PROPN eajbcs-826 396 9 s. s. PROPN eajbcs-826 396 10 2022 2022 NUM eajbcs-826 396 11 . . PUNCT eajbcs-826 397 1 an an DET eajbcs-826 397 2 application application NOUN eajbcs-826 397 3 of of ADP eajbcs-826 397 4 fully fully ADV eajbcs-826 397 5 intuitionistic intuitionistic ADJ eajbcs-826 397 6 fuzzy fuzzy ADJ eajbcs-826 397 7 multi multi ADJ eajbcs-826 397 8 - - ADJ eajbcs-826 397 9 objective objective ADJ eajbcs-826 397 10 linear linear ADJ eajbcs-826 397 11 fractional fractional ADJ eajbcs-826 397 12 programming programming NOUN eajbcs-826 397 13 problem problem NOUN eajbcs-826 397 14 in in ADP eajbcs-826 397 15 e e NOUN eajbcs-826 397 16 - - NOUN eajbcs-826 397 17 education education NOUN eajbcs-826 397 18 system system NOUN eajbcs-826 397 19 . . PUNCT eajbcs-826 398 1 int int NOUN eajbcs-826 398 2 . . PUNCT eajbcs-826 399 1 j. j. PROPN eajbcs-826 399 2 fuzzy fuzzy PROPN eajbcs-826 399 3 syst syst PROPN eajbcs-826 399 4 . . PUNCT eajbcs-826 400 1 24 24 NUM eajbcs-826 400 2 ( ( PUNCT eajbcs-826 400 3 8) 8) NUM eajbcs-826 400 4 : : PUNCT eajbcs-826 400 5 3544–3563 3544–3563 NUM eajbcs-826 400 6 . . PUNCT eajbcs-826 401 1 mitlif mitlif PROPN eajbcs-826 401 2 r.j r.j PROPN eajbcs-826 401 3 . . PROPN eajbcs-826 401 4 2016 2016 NUM eajbcs-826 401 5 . . PUNCT eajbcs-826 402 1 a a DET eajbcs-826 402 2 new new ADJ eajbcs-826 402 3 method method NOUN eajbcs-826 402 4 for for ADP eajbcs-826 402 5 solving solve VERB eajbcs-826 402 6 fully fully ADV eajbcs-826 402 7 fuzzy fuzzy ADJ eajbcs-826 402 8 multi multi ADJ eajbcs-826 402 9 - - ADJ eajbcs-826 402 10 objective objective ADJ eajbcs-826 402 11 linear linear ADJ eajbcs-826 402 12 programming programming NOUN eajbcs-826 402 13 problems problem NOUN eajbcs-826 402 14 . . PUNCT eajbcs-826 403 1 iraqi iraqi ADJ eajbcs-826 403 2 j. j. PROPN eajbcs-826 403 3 sci sci PROPN eajbcs-826 403 4 . . PROPN eajbcs-826 404 1 57 57 NUM eajbcs-826 404 2 ( ( PUNCT eajbcs-826 404 3 3c 3c NUM eajbcs-826 404 4 ): ): PUNCT eajbcs-826 404 5 2307–2311 2307–2311 NUM eajbcs-826 404 6 . . PUNCT eajbcs-826 405 1 moges moges PROPN eajbcs-826 405 2 d.m d.m PROPN eajbcs-826 405 3 . . PROPN eajbcs-826 405 4 , , PUNCT eajbcs-826 405 5 mushi mushi PROPN eajbcs-826 405 6 a.r a.r PROPN eajbcs-826 405 7 . . PROPN eajbcs-826 405 8 and and CCONJ eajbcs-826 405 9 wordofa wordofa NOUN eajbcs-826 405 10 b.g b.g PROPN eajbcs-826 405 11 . . PROPN eajbcs-826 405 12 2023 2023 NUM eajbcs-826 405 13 . . PUNCT eajbcs-826 406 1 a a DET eajbcs-826 406 2 new new ADJ eajbcs-826 406 3 method method NOUN eajbcs-826 406 4 for for ADP eajbcs-826 406 5 intuitionistic intuitionistic ADJ eajbcs-826 406 6 fuzzy fuzzy ADJ eajbcs-826 406 7 multiobjective multiobjective ADJ eajbcs-826 406 8 linear linear ADJ eajbcs-826 406 9 fractional fractional ADJ eajbcs-826 406 10 optimization optimization NOUN eajbcs-826 406 11 problem problem NOUN eajbcs-826 406 12 and and CCONJ eajbcs-826 406 13 its its PRON eajbcs-826 406 14 application application NOUN eajbcs-826 406 15 in in ADP eajbcs-826 406 16 agricultural agricultural ADJ eajbcs-826 406 17 land land NOUN eajbcs-826 406 18 allocation allocation NOUN eajbcs-826 406 19 problem problem NOUN eajbcs-826 406 20 . . PUNCT eajbcs-826 407 1 inf inf PROPN eajbcs-826 407 2 . . PUNCT eajbcs-826 408 1 sci sci PROPN eajbcs-826 408 2 . . PROPN eajbcs-826 409 1 625 625 NUM eajbcs-826 409 2 : : PUNCT eajbcs-826 410 1 457–475 457–475 NUM eajbcs-826 410 2 . . PUNCT eajbcs-826 410 3 niksirat niksirat PROPN eajbcs-826 410 4 m. m. PROPN eajbcs-826 410 5 2022 2022 NUM eajbcs-826 410 6 . . PUNCT eajbcs-826 411 1 a a DET eajbcs-826 411 2 new new ADJ eajbcs-826 411 3 approach approach NOUN eajbcs-826 411 4 to to PART eajbcs-826 411 5 solve solve VERB eajbcs-826 411 6 fully fully ADV eajbcs-826 411 7 fuzzy fuzzy ADJ eajbcs-826 411 8 multi multi ADJ eajbcs-826 411 9 - - ADJ eajbcs-826 411 10 objective objective ADJ eajbcs-826 411 11 transportation transportation NOUN eajbcs-826 411 12 problem problem NOUN eajbcs-826 411 13 . . PUNCT eajbcs-826 412 1 fuzzy fuzzy PROPN eajbcs-826 412 2 inf inf PROPN eajbcs-826 412 3 . . PUNCT eajbcs-826 413 1 eng eng PROPN eajbcs-826 413 2 . . PUNCT eajbcs-826 414 1 14(4 14(4 NUM eajbcs-826 414 2 ): ): PUNCT eajbcs-826 415 1 456–467 456–467 NUM eajbcs-826 415 2 . . NOUN eajbcs-826 415 3 nomani nomani PROPN eajbcs-826 415 4 m.a m.a PROPN eajbcs-826 415 5 . . PROPN eajbcs-826 415 6 , , PUNCT eajbcs-826 415 7 ali ali PROPN eajbcs-826 415 8 i. i. PROPN eajbcs-826 415 9 and and CCONJ eajbcs-826 415 10 ahmed ahmed PROPN eajbcs-826 415 11 a. a. PROPN eajbcs-826 415 12 2017 2017 NUM eajbcs-826 415 13 . . PUNCT eajbcs-826 416 1 a a DET eajbcs-826 416 2 new new ADJ eajbcs-826 416 3 approach approach NOUN eajbcs-826 416 4 for for ADP eajbcs-826 416 5 solving solve VERB eajbcs-826 416 6 multi multi ADJ eajbcs-826 416 7 - - ADJ eajbcs-826 416 8 objective objective ADJ eajbcs-826 416 9 transportation transportation NOUN eajbcs-826 416 10 problems problem NOUN eajbcs-826 416 11 . . PUNCT eajbcs-826 417 1 int int NOUN eajbcs-826 417 2 . . PUNCT eajbcs-826 418 1 j. j. PROPN eajbcs-826 418 2 manag manag PROPN eajbcs-826 418 3 . . PUNCT eajbcs-826 419 1 sci sci PROPN eajbcs-826 419 2 . . PUNCT eajbcs-826 420 1 eng eng PROPN eajbcs-826 420 2 . . PROPN eajbcs-826 421 1 manag manag PROPN eajbcs-826 421 2 . . PUNCT eajbcs-826 422 1 12 12 NUM eajbcs-826 422 2 ( ( PUNCT eajbcs-826 422 3 3 3 NUM eajbcs-826 422 4 ): ): PUNCT eajbcs-826 422 5 165–173 165–173 NUM eajbcs-826 422 6 . . PUNCT eajbcs-826 423 1 roy roy PROPN eajbcs-826 423 2 s.k s.k PROPN eajbcs-826 423 3 . . PROPN eajbcs-826 423 4 , , PUNCT eajbcs-826 423 5 ebrahimnejad ebrahimnejad PROPN eajbcs-826 423 6 a. a. PROPN eajbcs-826 423 7 , , PUNCT eajbcs-826 423 8 verdegay verdegay PROPN eajbcs-826 423 9 j.l j.l PROPN eajbcs-826 423 10 . . PROPN eajbcs-826 423 11 and and CCONJ eajbcs-826 423 12 das das PROPN eajbcs-826 423 13 s. s. PROPN eajbcs-826 423 14 2018 2018 NUM eajbcs-826 423 15 . . PUNCT eajbcs-826 424 1 new new ADJ eajbcs-826 424 2 approach approach NOUN eajbcs-826 424 3 for for ADP eajbcs-826 424 4 solving solve VERB eajbcs-826 424 5 intuitionistic intuitionistic ADJ eajbcs-826 424 6 fuzzy fuzzy ADJ eajbcs-826 424 7 multi multi ADJ eajbcs-826 424 8 - - ADJ eajbcs-826 424 9 objective objective ADJ eajbcs-826 424 10 transportation transportation NOUN eajbcs-826 424 11 problem problem NOUN eajbcs-826 424 12 . . PUNCT eajbcs-826 425 1 sādhanā sādhanā PROPN eajbcs-826 425 2 43 43 NUM eajbcs-826 425 3 ( ( PUNCT eajbcs-826 425 4 3 3 NUM eajbcs-826 425 5 ): ): PUNCT eajbcs-826 425 6 1–12 1–12 NOUN eajbcs-826 425 7 . . PUNCT eajbcs-826 426 1 sahih sahih PROPN eajbcs-826 426 2 a.z a.z PROPN eajbcs-826 426 3 . . PROPN eajbcs-826 426 4 , , PUNCT eajbcs-826 426 5 mashhadi mashhadi NOUN eajbcs-826 426 6 m. m. NOUN eajbcs-826 426 7 and and CCONJ eajbcs-826 426 8 amirkhalili amirkhalili NOUN eajbcs-826 426 9 y. y. PROPN eajbcs-826 426 10 2021 2021 NUM eajbcs-826 426 11 . . PUNCT eajbcs-826 427 1 a a DET eajbcs-826 427 2 two two NUM eajbcs-826 427 3 - - PUNCT eajbcs-826 427 4 stage stage NOUN eajbcs-826 427 5 multi multi ADJ eajbcs-826 427 6 - - ADJ eajbcs-826 427 7 objective objective ADJ eajbcs-826 427 8 project project NOUN eajbcs-826 427 9 selection selection NOUN eajbcs-826 427 10 regarding regard VERB eajbcs-826 427 11 social social ADJ eajbcs-826 427 12 welfare welfare NOUN eajbcs-826 427 13 and and CCONJ eajbcs-826 427 14 risk risk NOUN eajbcs-826 427 15 optimization optimization NOUN eajbcs-826 427 16 factors factor NOUN eajbcs-826 427 17 in in ADP eajbcs-826 427 18 bot bot NOUN eajbcs-826 427 19 type type NOUN eajbcs-826 427 20 projects project NOUN eajbcs-826 427 21 : : PUNCT eajbcs-826 427 22 a a DET eajbcs-826 427 23 case case NOUN eajbcs-826 427 24 study study NOUN eajbcs-826 427 25 in in ADP eajbcs-826 427 26 road road NOUN eajbcs-826 427 27 construction construction NOUN eajbcs-826 427 28 industry industry NOUN eajbcs-826 427 29 . . PUNCT eajbcs-826 428 1 int int NOUN eajbcs-826 428 2 . . PUNCT eajbcs-826 429 1 j. j. PROPN eajbcs-826 429 2 ind ind PROPN eajbcs-826 429 3 . . PUNCT eajbcs-826 430 1 syst syst PROPN eajbcs-826 430 2 . . PUNCT eajbcs-826 431 1 eng eng PROPN eajbcs-826 431 2 . . PROPN eajbcs-826 431 3 ,13(special ,13(special PUNCT eajbcs-826 431 4 issue issue NOUN eajbcs-826 431 5 : : PUNCT eajbcs-826 431 6 17th 17th ADJ eajbcs-826 431 7 international international ADJ eajbcs-826 431 8 industrial industrial ADJ eajbcs-826 431 9 engineering engineering NOUN eajbcs-826 431 10 conference conference NOUN eajbcs-826 431 11 ) ) PUNCT eajbcs-826 431 12 , , PUNCT eajbcs-826 431 13 pp pp ADP eajbcs-826 431 14 55–61 55–61 NUM eajbcs-826 431 15 . . PUNCT eajbcs-826 432 1 sayyah sayyah PROPN eajbcs-826 432 2 a. a. PROPN eajbcs-826 432 3 , , PUNCT eajbcs-826 432 4 kazemzadeh kazemzadeh PROPN eajbcs-826 432 5 r.b r.b PROPN eajbcs-826 432 6 . . PROPN eajbcs-826 432 7 , , PUNCT eajbcs-826 432 8 sepehri sepehri PROPN eajbcs-826 432 9 m.m m.m PROPN eajbcs-826 432 10 . . PROPN eajbcs-826 432 11 and and CCONJ eajbcs-826 432 12 eskandari eskandari PROPN eajbcs-826 432 13 h. h. PROPN eajbcs-826 432 14 2019 2019 NUM eajbcs-826 432 15 . . PUNCT eajbcs-826 433 1 a a DET eajbcs-826 433 2 multi multi ADJ eajbcs-826 433 3 - - ADJ eajbcs-826 433 4 objective objective ADJ eajbcs-826 433 5 modelling modelling NOUN eajbcs-826 433 6 approach approach NOUN eajbcs-826 433 7 to to PART eajbcs-826 433 8 assess assess VERB eajbcs-826 433 9 the the DET eajbcs-826 433 10 impact impact NOUN eajbcs-826 433 11 of of ADP eajbcs-826 433 12 maintenance maintenance NOUN eajbcs-826 433 13 scheduling scheduling NOUN eajbcs-826 433 14 on on ADP eajbcs-826 433 15 equipment equipment NOUN eajbcs-826 433 16 procurement procurement NOUN eajbcs-826 433 17 methods method NOUN eajbcs-826 433 18 . . PUNCT eajbcs-826 434 1 int int NOUN eajbcs-826 434 2 . . PUNCT eajbcs-826 435 1 j. j. PROPN eajbcs-826 435 2 ind ind PROPN eajbcs-826 435 3 . . PUNCT eajbcs-826 436 1 syst syst PROPN eajbcs-826 436 2 . . PUNCT eajbcs-826 437 1 eng eng PROPN eajbcs-826 437 2 . . PROPN eajbcs-826 437 3 31 31 NUM eajbcs-826 437 4 ( ( PUNCT eajbcs-826 437 5 2 2 NUM eajbcs-826 437 6 ): ): PUNCT eajbcs-826 437 7 184–208 184–208 NUM eajbcs-826 437 8 . . PUNCT eajbcs-826 437 9 schrage schrage NOUN eajbcs-826 437 10 l.e l.e PROPN eajbcs-826 437 11 . . PROPN eajbcs-826 437 12 and and CCONJ eajbcs-826 437 13 lindo lindo PROPN eajbcs-826 437 14 systems systems PROPN eajbcs-826 437 15 i. i. PROPN eajbcs-826 437 16 1997 1997 NUM eajbcs-826 437 17 . . PUNCT eajbcs-826 438 1 optimization optimization NOUN eajbcs-826 438 2 modeling modeling NOUN eajbcs-826 438 3 with with ADP eajbcs-826 438 4 lingo lingo NOUN eajbcs-826 438 5 . . PUNCT eajbcs-826 439 1 duxbury duxbury PROPN eajbcs-826 439 2 press press PROPN eajbcs-826 439 3 ca ca PROPN eajbcs-826 439 4 . . PUNCT eajbcs-826 440 1 sosa sosa PROPN eajbcs-826 440 2 j.m j.m PROPN eajbcs-826 440 3 . . PROPN eajbcs-826 440 4 and and CCONJ eajbcs-826 440 5 dhodiya dhodiya PROPN eajbcs-826 440 6 j.m j.m PROPN eajbcs-826 440 7 . . PROPN eajbcs-826 440 8 2021 2021 NUM eajbcs-826 440 9 . . PUNCT eajbcs-826 441 1 genetic genetic ADJ eajbcs-826 441 2 algorithmbased algorithmbase VERB eajbcs-826 441 3 solution solution NOUN eajbcs-826 441 4 of of ADP eajbcs-826 441 5 multi multi ADJ eajbcs-826 441 6 - - ADJ eajbcs-826 441 7 objective objective ADJ eajbcs-826 441 8 stochastic stochastic ADJ eajbcs-826 441 9 transportation transportation NOUN eajbcs-826 441 10 problem problem NOUN eajbcs-826 441 11 . . PUNCT eajbcs-826 442 1 int int NOUN eajbcs-826 442 2 . . PUNCT eajbcs-826 443 1 j. j. PROPN eajbcs-826 443 2 adv adv PROPN eajbcs-826 443 3 . . PUNCT eajbcs-826 443 4 oper oper PROPN eajbcs-826 443 5 . . PROPN eajbcs-826 443 6 manag manag PROPN eajbcs-826 443 7 . . PROPN eajbcs-826 444 1 13 13 NUM eajbcs-826 444 2 ( ( PUNCT eajbcs-826 444 3 2 2 NUM eajbcs-826 444 4 ): ): PUNCT eajbcs-826 444 5 113–128 113–128 NUM eajbcs-826 444 6 . . PUNCT eajbcs-826 445 1 east east PROPN eajbcs-826 445 2 afr afr PROPN eajbcs-826 445 3 . . PUNCT eajbcs-826 446 1 j. j. PROPN eajbcs-826 446 2 biophys biophys PROPN eajbcs-826 446 3 . . PUNCT eajbcs-826 447 1 comput comput NOUN eajbcs-826 447 2 . . PUNCT eajbcs-826 448 1 sci sci PROPN eajbcs-826 448 2 . . PUNCT eajbcs-826 448 3 ( ( PUNCT eajbcs-826 448 4 2023 2023 NUM eajbcs-826 448 5 ) ) PUNCT eajbcs-826 448 6 , , PUNCT eajbcs-826 448 7 vol vol NOUN eajbcs-826 448 8 . . PROPN eajbcs-826 448 9 4 4 NUM eajbcs-826 448 10 , , PUNCT eajbcs-826 448 11 issue issue NOUN eajbcs-826 448 12 . . PUNCT eajbcs-826 449 1 2 2 NUM eajbcs-826 449 2 , , PUNCT eajbcs-826 449 3 43 43 NUM eajbcs-826 449 4 - - SYM eajbcs-826 449 5 53 53 NUM eajbcs-826 449 6 53 53 NUM eajbcs-826 449 7 east east NOUN eajbcs-826 449 8 afr afr PROPN eajbcs-826 449 9 . . PUNCT eajbcs-826 450 1 j. j. PROPN eajbcs-826 450 2 biophys biophys PROPN eajbcs-826 450 3 . . PUNCT eajbcs-826 451 1 comput comput NOUN eajbcs-826 451 2 . . PUNCT eajbcs-826 452 1 sci sci PROPN eajbcs-826 452 2 . . PROPN eajbcs-826 452 3 hawassa hawassa PROPN eajbcs-826 452 4 university university PROPN eajbcs-826 452 5 introduction introduction NOUN eajbcs-826 452 6 mathematical mathematical ADJ eajbcs-826 452 7 model model NOUN eajbcs-826 452 8 crisp crisp ADJ eajbcs-826 452 9 equivalent equivalent NOUN eajbcs-826 452 10 of of ADP eajbcs-826 452 11 multi multi ADJ eajbcs-826 452 12 - - ADJ eajbcs-826 452 13 objective objective ADJ eajbcs-826 452 14 fuzzy fuzzy ADJ eajbcs-826 452 15 transportation transportation NOUN eajbcs-826 452 16 problem problem NOUN eajbcs-826 452 17 solution solution NOUN eajbcs-826 452 18 procedure procedure NOUN eajbcs-826 452 19 numerical numerical PROPN eajbcs-826 452 20 example example NOUN eajbcs-826 452 21 discussion discussion NOUN eajbcs-826 452 22 of of ADP eajbcs-826 452 23 the the DET eajbcs-826 452 24 results result NOUN eajbcs-826 452 25 conclusion conclusion VERB eajbcs-826 452 26 basic basic ADJ eajbcs-826 452 27 preliminaries preliminary NOUN eajbcs-826 452 28 untitled untitled ADJ