id sid tid token lemma pos american_scientific_journal-2922 1 1 240 240 NUM american_scientific_journal-2922 1 2 american american ADJ american_scientific_journal-2922 1 3 scientific scientific ADJ american_scientific_journal-2922 1 4 research research NOUN american_scientific_journal-2922 1 5 journal journal NOUN american_scientific_journal-2922 1 6 for for ADP american_scientific_journal-2922 1 7 engineering engineering NOUN american_scientific_journal-2922 1 8 , , PUNCT american_scientific_journal-2922 1 9 technology technology NOUN american_scientific_journal-2922 1 10 , , PUNCT american_scientific_journal-2922 1 11 and and CCONJ american_scientific_journal-2922 1 12 sciences science NOUN american_scientific_journal-2922 1 13 ( ( PUNCT american_scientific_journal-2922 1 14 asrjets asrjet NOUN american_scientific_journal-2922 1 15 ) ) PUNCT american_scientific_journal-2922 1 16 issn issn PROPN american_scientific_journal-2922 1 17 ( ( PUNCT american_scientific_journal-2922 1 18 print print NOUN american_scientific_journal-2922 1 19 ) ) PUNCT american_scientific_journal-2922 1 20 2313 2313 NUM american_scientific_journal-2922 1 21 - - SYM american_scientific_journal-2922 1 22 4410 4410 NUM american_scientific_journal-2922 1 23 , , PUNCT american_scientific_journal-2922 1 24 issn issn PROPN american_scientific_journal-2922 1 25 ( ( PUNCT american_scientific_journal-2922 1 26 online online ADJ american_scientific_journal-2922 1 27 ) ) PUNCT american_scientific_journal-2922 1 28 2313 2313 NUM american_scientific_journal-2922 1 29 - - SYM american_scientific_journal-2922 1 30 4402 4402 NUM american_scientific_journal-2922 1 31 ยฉ ยฉ PROPN american_scientific_journal-2922 1 32 global global ADJ american_scientific_journal-2922 1 33 society society NOUN american_scientific_journal-2922 1 34 of of ADP american_scientific_journal-2922 1 35 scientific scientific ADJ american_scientific_journal-2922 1 36 research research NOUN american_scientific_journal-2922 1 37 and and CCONJ american_scientific_journal-2922 1 38 researchers researcher NOUN american_scientific_journal-2922 1 39 http://asrjetsjournal.org/ http://asrjetsjournal.org/ VERB american_scientific_journal-2922 1 40 a a DET american_scientific_journal-2922 1 41 comparative comparative ADJ american_scientific_journal-2922 1 42 study study NOUN american_scientific_journal-2922 1 43 of of ADP american_scientific_journal-2922 1 44 classical classical ADJ american_scientific_journal-2922 1 45 relation relation NOUN american_scientific_journal-2922 1 46 and and CCONJ american_scientific_journal-2922 1 47 fuzzy fuzzy ADJ american_scientific_journal-2922 1 48 relation relation NOUN american_scientific_journal-2922 1 49 abdul abdul PROPN american_scientific_journal-2922 1 50 alim alim PROPN american_scientific_journal-2922 1 51 * * PROPN american_scientific_journal-2922 1 52 lecturer lecturer PROPN american_scientific_journal-2922 1 53 , , PUNCT american_scientific_journal-2922 1 54 dept dept NOUN american_scientific_journal-2922 1 55 . . PROPN american_scientific_journal-2922 2 1 of of ADP american_scientific_journal-2922 2 2 natural natural ADJ american_scientific_journal-2922 2 3 sciences science NOUN american_scientific_journal-2922 2 4 ( ( PUNCT american_scientific_journal-2922 2 5 mathematics mathematic NOUN american_scientific_journal-2922 2 6 ) ) PUNCT american_scientific_journal-2922 2 7 , , PUNCT american_scientific_journal-2922 2 8 bgmea bgmea PROPN american_scientific_journal-2922 2 9 university university NOUN american_scientific_journal-2922 2 10 of of ADP american_scientific_journal-2922 2 11 fashion fashion PROPN american_scientific_journal-2922 2 12 & & CCONJ american_scientific_journal-2922 2 13 technology technology NOUN american_scientific_journal-2922 2 14 , , PUNCT american_scientific_journal-2922 2 15 dhaka-1230 dhaka-1230 NOUN american_scientific_journal-2922 2 16 , , PUNCT american_scientific_journal-2922 2 17 bangladesh bangladesh NOUN american_scientific_journal-2922 2 18 email email NOUN american_scientific_journal-2922 2 19 : : PUNCT american_scientific_journal-2922 2 20 abdulalim@buft.edu.bd abdulalim@buft.edu.bd PROPN american_scientific_journal-2922 2 21 abstract abstract ADJ american_scientific_journal-2922 2 22 fuzzy fuzzy ADJ american_scientific_journal-2922 2 23 relation relation NOUN american_scientific_journal-2922 2 24 is be AUX american_scientific_journal-2922 2 25 an an DET american_scientific_journal-2922 2 26 extension extension NOUN american_scientific_journal-2922 2 27 of of ADP american_scientific_journal-2922 2 28 classical classical ADJ american_scientific_journal-2922 2 29 relation relation NOUN american_scientific_journal-2922 2 30 as as ADP american_scientific_journal-2922 2 31 fuzzy fuzzy ADJ american_scientific_journal-2922 2 32 set set NOUN american_scientific_journal-2922 2 33 is be AUX american_scientific_journal-2922 2 34 an an DET american_scientific_journal-2922 2 35 extension extension NOUN american_scientific_journal-2922 2 36 of of ADP american_scientific_journal-2922 2 37 classical classical ADJ american_scientific_journal-2922 2 38 set set NOUN american_scientific_journal-2922 2 39 . . PUNCT american_scientific_journal-2922 3 1 this this DET american_scientific_journal-2922 3 2 work work NOUN american_scientific_journal-2922 3 3 represents represent VERB american_scientific_journal-2922 3 4 an an DET american_scientific_journal-2922 3 5 overview overview NOUN american_scientific_journal-2922 3 6 of of ADP american_scientific_journal-2922 3 7 classical classical ADJ american_scientific_journal-2922 3 8 relation relation NOUN american_scientific_journal-2922 3 9 and and CCONJ american_scientific_journal-2922 3 10 fuzzy fuzzy ADJ american_scientific_journal-2922 3 11 relation relation NOUN american_scientific_journal-2922 3 12 . . PUNCT american_scientific_journal-2922 4 1 some some DET american_scientific_journal-2922 4 2 definitions definition NOUN american_scientific_journal-2922 4 3 related relate VERB american_scientific_journal-2922 4 4 to to ADP american_scientific_journal-2922 4 5 fuzzy fuzzy ADJ american_scientific_journal-2922 4 6 relation relation NOUN american_scientific_journal-2922 4 7 are be AUX american_scientific_journal-2922 4 8 discussed discuss VERB american_scientific_journal-2922 4 9 and and CCONJ american_scientific_journal-2922 4 10 also also ADV american_scientific_journal-2922 4 11 explained explain VERB american_scientific_journal-2922 4 12 by by ADP american_scientific_journal-2922 4 13 giving give VERB american_scientific_journal-2922 4 14 example example NOUN american_scientific_journal-2922 4 15 . . PUNCT american_scientific_journal-2922 5 1 max max PROPN american_scientific_journal-2922 5 2 - - PUNCT american_scientific_journal-2922 5 3 min min PROPN american_scientific_journal-2922 5 4 operation operation NOUN american_scientific_journal-2922 5 5 and and CCONJ american_scientific_journal-2922 5 6 max max PROPN american_scientific_journal-2922 5 7 - - PUNCT american_scientific_journal-2922 5 8 product product NOUN american_scientific_journal-2922 5 9 operation operation NOUN american_scientific_journal-2922 5 10 are be AUX american_scientific_journal-2922 5 11 discussed discuss VERB american_scientific_journal-2922 5 12 for for ADP american_scientific_journal-2922 5 13 both both PRON american_scientific_journal-2922 5 14 classical classical ADJ american_scientific_journal-2922 5 15 relations relation NOUN american_scientific_journal-2922 5 16 and and CCONJ american_scientific_journal-2922 5 17 fuzzy fuzzy ADJ american_scientific_journal-2922 5 18 relations relation NOUN american_scientific_journal-2922 5 19 . . PUNCT american_scientific_journal-2922 6 1 max max PROPN american_scientific_journal-2922 6 2 - - PUNCT american_scientific_journal-2922 6 3 avg avg PROPN american_scientific_journal-2922 6 4 operation operation NOUN american_scientific_journal-2922 6 5 is be AUX american_scientific_journal-2922 6 6 also also ADV american_scientific_journal-2922 6 7 discussed discuss VERB american_scientific_journal-2922 6 8 for for ADP american_scientific_journal-2922 6 9 fuzzy fuzzy ADJ american_scientific_journal-2922 6 10 relations relation NOUN american_scientific_journal-2922 6 11 . . PUNCT american_scientific_journal-2922 7 1 finally finally ADV american_scientific_journal-2922 7 2 , , PUNCT american_scientific_journal-2922 7 3 fuzzy fuzzy ADJ american_scientific_journal-2922 7 4 equivalence equivalence NOUN american_scientific_journal-2922 7 5 relation relation NOUN american_scientific_journal-2922 7 6 is be AUX american_scientific_journal-2922 7 7 discussed discuss VERB american_scientific_journal-2922 7 8 . . PUNCT american_scientific_journal-2922 8 1 keywords keyword NOUN american_scientific_journal-2922 8 2 : : PUNCT american_scientific_journal-2922 8 3 characteristic characteristic ADJ american_scientific_journal-2922 8 4 function function NOUN american_scientific_journal-2922 8 5 ; ; PUNCT american_scientific_journal-2922 8 6 membership membership NOUN american_scientific_journal-2922 8 7 grade grade NOUN american_scientific_journal-2922 8 8 ; ; PUNCT american_scientific_journal-2922 8 9 max max PROPN american_scientific_journal-2922 8 10 - - PUNCT american_scientific_journal-2922 8 11 min min PROPN american_scientific_journal-2922 8 12 operation operation NOUN american_scientific_journal-2922 8 13 ; ; PUNCT american_scientific_journal-2922 8 14 max max PROPN american_scientific_journal-2922 8 15 - - PUNCT american_scientific_journal-2922 8 16 product product NOUN american_scientific_journal-2922 8 17 operation operation NOUN american_scientific_journal-2922 8 18 ; ; PUNCT american_scientific_journal-2922 8 19 max max PROPN american_scientific_journal-2922 8 20 - - PUNCT american_scientific_journal-2922 8 21 avg avg PROPN american_scientific_journal-2922 8 22 operation operation NOUN american_scientific_journal-2922 8 23 . . PUNCT american_scientific_journal-2922 9 1 1 1 X american_scientific_journal-2922 9 2 . . X american_scientific_journal-2922 9 3 introduction introduction NOUN american_scientific_journal-2922 9 4 the the DET american_scientific_journal-2922 9 5 concept concept NOUN american_scientific_journal-2922 9 6 of of ADP american_scientific_journal-2922 9 7 fuzzy fuzzy ADJ american_scientific_journal-2922 9 8 set set NOUN american_scientific_journal-2922 9 9 was be AUX american_scientific_journal-2922 9 10 first first ADV american_scientific_journal-2922 9 11 introduced introduce VERB american_scientific_journal-2922 9 12 by by ADP american_scientific_journal-2922 9 13 l. l. PROPN american_scientific_journal-2922 9 14 a. a. PROPN american_scientific_journal-2922 9 15 zadeh zadeh PROPN american_scientific_journal-2922 9 16 in in ADP american_scientific_journal-2922 9 17 1965 1965 NUM american_scientific_journal-2922 9 18 . . PUNCT american_scientific_journal-2922 10 1 fuzzy fuzzy ADJ american_scientific_journal-2922 10 2 set set NOUN american_scientific_journal-2922 10 3 is be AUX american_scientific_journal-2922 10 4 an an DET american_scientific_journal-2922 10 5 extension extension NOUN american_scientific_journal-2922 10 6 or or CCONJ american_scientific_journal-2922 10 7 generalization generalization NOUN american_scientific_journal-2922 10 8 of of ADP american_scientific_journal-2922 10 9 classical classical ADJ american_scientific_journal-2922 10 10 set set NOUN american_scientific_journal-2922 10 11 [ [ X american_scientific_journal-2922 10 12 1 1 NUM american_scientific_journal-2922 10 13 ] ] PUNCT american_scientific_journal-2922 10 14 . . PUNCT american_scientific_journal-2922 11 1 a a DET american_scientific_journal-2922 11 2 classical classical ADJ american_scientific_journal-2922 11 3 set set NOUN american_scientific_journal-2922 11 4 is be AUX american_scientific_journal-2922 11 5 a a DET american_scientific_journal-2922 11 6 well well ADV american_scientific_journal-2922 11 7 defined define VERB american_scientific_journal-2922 11 8 collection collection NOUN american_scientific_journal-2922 11 9 of of ADP american_scientific_journal-2922 11 10 objects object NOUN american_scientific_journal-2922 11 11 . . PUNCT american_scientific_journal-2922 12 1 each each DET american_scientific_journal-2922 12 2 classical classical ADJ american_scientific_journal-2922 12 3 set set NOUN american_scientific_journal-2922 12 4 can can AUX american_scientific_journal-2922 12 5 be be AUX american_scientific_journal-2922 12 6 defined define VERB american_scientific_journal-2922 12 7 by by ADP american_scientific_journal-2922 12 8 a a DET american_scientific_journal-2922 12 9 characteristics characteristic NOUN american_scientific_journal-2922 12 10 function function NOUN american_scientific_journal-2922 12 11 [ [ X american_scientific_journal-2922 12 12 5 5 NUM american_scientific_journal-2922 12 13 ] ] PUNCT american_scientific_journal-2922 12 14 , , PUNCT american_scientific_journal-2922 12 15 ๐œ‡๐œ‡๐‘‹๐‘‹(๐‘ฅ๐‘ฅ ๐œ‡๐œ‡๐‘‹๐‘‹(๐‘ฅ๐‘ฅ PROPN american_scientific_journal-2922 12 16 ) ) PUNCT american_scientific_journal-2922 13 1 = = SYM american_scientific_journal-2922 13 2 ๏ฟฝ ๏ฟฝ PROPN american_scientific_journal-2922 13 3 1 1 NUM american_scientific_journal-2922 13 4 ; ; PUNCT american_scientific_journal-2922 13 5 ๐‘ฅ๐‘ฅ ๐‘ฅ๐‘ฅ ADP american_scientific_journal-2922 13 6 โˆˆ โˆˆ PROPN american_scientific_journal-2922 13 7 ๐‘‹๐‘‹ ๐‘‹๐‘‹ PROPN american_scientific_journal-2922 13 8 0 0 NUM american_scientific_journal-2922 13 9 ; ; PUNCT american_scientific_journal-2922 13 10 ๐‘ฅ๐‘ฅ ๐‘ฅ๐‘ฅ ADP american_scientific_journal-2922 13 11 โˆ‰ โˆ‰ PROPN american_scientific_journal-2922 13 12 ๐‘‹๐‘‹ ๐‘‹๐‘‹ PROPN american_scientific_journal-2922 13 13 the the DET american_scientific_journal-2922 13 14 characteristics characteristic NOUN american_scientific_journal-2922 13 15 function function NOUN american_scientific_journal-2922 13 16 indicates indicate VERB american_scientific_journal-2922 13 17 whether whether SCONJ american_scientific_journal-2922 13 18 an an DET american_scientific_journal-2922 13 19 element element NOUN american_scientific_journal-2922 13 20 is be AUX american_scientific_journal-2922 13 21 present present ADJ american_scientific_journal-2922 13 22 in in ADP american_scientific_journal-2922 13 23 the the DET american_scientific_journal-2922 13 24 set set NOUN american_scientific_journal-2922 13 25 or or CCONJ american_scientific_journal-2922 13 26 not not PART american_scientific_journal-2922 13 27 . . PUNCT american_scientific_journal-2922 14 1 if if SCONJ american_scientific_journal-2922 14 2 any any DET american_scientific_journal-2922 14 3 element element NOUN american_scientific_journal-2922 14 4 is be AUX american_scientific_journal-2922 14 5 present present ADJ american_scientific_journal-2922 14 6 in in ADP american_scientific_journal-2922 14 7 the the DET american_scientific_journal-2922 14 8 set set NOUN american_scientific_journal-2922 14 9 ๐‘‹๐‘‹ ๐‘‹๐‘‹ PROPN american_scientific_journal-2922 14 10 , , PUNCT american_scientific_journal-2922 14 11 the the DET american_scientific_journal-2922 14 12 membership membership NOUN american_scientific_journal-2922 14 13 grade grade NOUN american_scientific_journal-2922 14 14 is be AUX american_scientific_journal-2922 14 15 1 1 NUM american_scientific_journal-2922 14 16 and and CCONJ american_scientific_journal-2922 14 17 the the DET american_scientific_journal-2922 14 18 membership membership NOUN american_scientific_journal-2922 14 19 grade grade NOUN american_scientific_journal-2922 14 20 is be AUX american_scientific_journal-2922 14 21 0 0 NUM american_scientific_journal-2922 14 22 if if SCONJ american_scientific_journal-2922 14 23 it it PRON american_scientific_journal-2922 14 24 is be AUX american_scientific_journal-2922 14 25 not not PART american_scientific_journal-2922 14 26 present present ADJ american_scientific_journal-2922 14 27 in in ADP american_scientific_journal-2922 14 28 the the DET american_scientific_journal-2922 14 29 set set NOUN american_scientific_journal-2922 14 30 . . PUNCT american_scientific_journal-2922 15 1 ----------------------------------------------------------------------- ----------------------------------------------------------------------- PUNCT american_scientific_journal-2922 16 1 * * PUNCT american_scientific_journal-2922 16 2 corresponding correspond VERB american_scientific_journal-2922 16 3 author author NOUN american_scientific_journal-2922 16 4 . . PUNCT american_scientific_journal-2922 17 1 http://asrjetsjournal.org/ http://asrjetsjournal.org/ PROPN american_scientific_journal-2922 17 2 american american PROPN american_scientific_journal-2922 17 3 scientific scientific PROPN american_scientific_journal-2922 17 4 research research NOUN american_scientific_journal-2922 17 5 journal journal NOUN american_scientific_journal-2922 17 6 for for ADP american_scientific_journal-2922 17 7 engineering engineering NOUN american_scientific_journal-2922 17 8 , , PUNCT american_scientific_journal-2922 17 9 technology technology NOUN american_scientific_journal-2922 17 10 , , PUNCT american_scientific_journal-2922 17 11 and and CCONJ american_scientific_journal-2922 17 12 sciences science NOUN american_scientific_journal-2922 17 13 ( ( PUNCT american_scientific_journal-2922 17 14 asrjets asrjet NOUN american_scientific_journal-2922 17 15 ) ) PUNCT american_scientific_journal-2922 17 16 ( ( PUNCT american_scientific_journal-2922 17 17 2017 2017 NUM american_scientific_journal-2922 17 18 ) ) PUNCT american_scientific_journal-2922 17 19 volume volume NOUN american_scientific_journal-2922 17 20 31 31 NUM american_scientific_journal-2922 17 21 , , PUNCT american_scientific_journal-2922 17 22 no no DET american_scientific_journal-2922 17 23 1 1 NUM american_scientific_journal-2922 17 24 , , PUNCT american_scientific_journal-2922 17 25 pp pp ADV american_scientific_journal-2922 17 26 240 240 NUM american_scientific_journal-2922 17 27 - - SYM american_scientific_journal-2922 17 28 248 248 NUM american_scientific_journal-2922 17 29 241 241 NUM american_scientific_journal-2922 17 30 if if SCONJ american_scientific_journal-2922 17 31 the the DET american_scientific_journal-2922 17 32 valuation valuation NOUN american_scientific_journal-2922 17 33 set set VERB american_scientific_journal-2922 17 34 { { PUNCT american_scientific_journal-2922 17 35 0,1 0,1 NOUN american_scientific_journal-2922 17 36 } } PUNCT american_scientific_journal-2922 17 37 is be AUX american_scientific_journal-2922 17 38 replaced replace VERB american_scientific_journal-2922 17 39 by by ADP american_scientific_journal-2922 17 40 the the DET american_scientific_journal-2922 17 41 real real ADJ american_scientific_journal-2922 17 42 interval interval NOUN american_scientific_journal-2922 17 43 [ [ X american_scientific_journal-2922 17 44 0,1 0,1 NUM american_scientific_journal-2922 17 45 ] ] PUNCT american_scientific_journal-2922 17 46 , , PUNCT american_scientific_journal-2922 17 47 the the DET american_scientific_journal-2922 17 48 set set NOUN american_scientific_journal-2922 17 49 is be AUX american_scientific_journal-2922 17 50 called call VERB american_scientific_journal-2922 17 51 fuzzy fuzzy ADJ american_scientific_journal-2922 17 52 set set NOUN american_scientific_journal-2922 17 53 and and CCONJ american_scientific_journal-2922 17 54 various various ADJ american_scientific_journal-2922 17 55 degrees degree NOUN american_scientific_journal-2922 17 56 of of ADP american_scientific_journal-2922 17 57 membership membership NOUN american_scientific_journal-2922 17 58 are be AUX american_scientific_journal-2922 17 59 obtained obtain VERB american_scientific_journal-2922 17 60 . . PUNCT american_scientific_journal-2922 18 1 thus thus ADV american_scientific_journal-2922 18 2 , , PUNCT american_scientific_journal-2922 18 3 a a DET american_scientific_journal-2922 18 4 fuzzy fuzzy ADJ american_scientific_journal-2922 18 5 set set NOUN american_scientific_journal-2922 18 6 is be AUX american_scientific_journal-2922 18 7 obviously obviously ADV american_scientific_journal-2922 18 8 a a DET american_scientific_journal-2922 18 9 generalization generalization NOUN american_scientific_journal-2922 18 10 of of ADP american_scientific_journal-2922 18 11 classical classical ADJ american_scientific_journal-2922 18 12 set set NOUN american_scientific_journal-2922 18 13 . . PUNCT american_scientific_journal-2922 19 1 in in ADP american_scientific_journal-2922 19 2 mathematics mathematic NOUN american_scientific_journal-2922 19 3 , , PUNCT american_scientific_journal-2922 19 4 a a DET american_scientific_journal-2922 19 5 relation relation NOUN american_scientific_journal-2922 19 6 describes describe VERB american_scientific_journal-2922 19 7 how how SCONJ american_scientific_journal-2922 19 8 the the DET american_scientific_journal-2922 19 9 elements element NOUN american_scientific_journal-2922 19 10 of of ADP american_scientific_journal-2922 19 11 one one NUM american_scientific_journal-2922 19 12 set set NOUN american_scientific_journal-2922 19 13 , , PUNCT american_scientific_journal-2922 19 14 ๐‘‹๐‘‹ ๐‘‹๐‘‹ PROPN american_scientific_journal-2922 19 15 are be AUX american_scientific_journal-2922 19 16 associated associate VERB american_scientific_journal-2922 19 17 with with ADP american_scientific_journal-2922 19 18 the the DET american_scientific_journal-2922 19 19 elements element NOUN american_scientific_journal-2922 19 20 of of ADP american_scientific_journal-2922 19 21 another another DET american_scientific_journal-2922 19 22 set set NOUN american_scientific_journal-2922 19 23 , , PUNCT american_scientific_journal-2922 19 24 ๐‘Œ๐‘Œ. ๐‘Œ๐‘Œ. PUNCT american_scientific_journal-2922 19 25 if if SCONJ american_scientific_journal-2922 19 26 ๐‘‹๐‘‹ ๐‘‹๐‘‹ PROPN american_scientific_journal-2922 19 27 and and CCONJ american_scientific_journal-2922 19 28 ๐‘Œ๐‘Œ ๐‘Œ๐‘Œ PROPN american_scientific_journal-2922 19 29 be be VERB american_scientific_journal-2922 19 30 two two NUM american_scientific_journal-2922 19 31 sets set NOUN american_scientific_journal-2922 19 32 then then ADV american_scientific_journal-2922 19 33 relation relation NOUN american_scientific_journal-2922 19 34 between between ADP american_scientific_journal-2922 19 35 ๐‘‹๐‘‹ ๐‘‹๐‘‹ PROPN american_scientific_journal-2922 19 36 and and CCONJ american_scientific_journal-2922 19 37 ๐‘Œ๐‘Œis ๐‘Œ๐‘Œis ADV american_scientific_journal-2922 19 38 a a DET american_scientific_journal-2922 19 39 subset subset NOUN american_scientific_journal-2922 19 40 of of ADP american_scientific_journal-2922 19 41 the the DET american_scientific_journal-2922 19 42 cartesian cartesian ADJ american_scientific_journal-2922 19 43 product product NOUN american_scientific_journal-2922 19 44 ๐‘‹๐‘‹ ๐‘‹๐‘‹ PROPN american_scientific_journal-2922 19 45 ร— ร— NOUN american_scientific_journal-2922 19 46 ๐‘Œ๐‘Œ.that ๐‘Œ๐‘Œ.that PRON american_scientific_journal-2922 19 47 is be AUX american_scientific_journal-2922 19 48 , , PUNCT american_scientific_journal-2922 19 49 the the DET american_scientific_journal-2922 19 50 relation relation NOUN american_scientific_journal-2922 19 51 , , PUNCT american_scientific_journal-2922 19 52 ๐‘…๐‘… ๐‘…๐‘… PROPN american_scientific_journal-2922 19 53 between between ADP american_scientific_journal-2922 19 54 ๐‘‹๐‘‹ ๐‘‹๐‘‹ PROPN american_scientific_journal-2922 19 55 and and CCONJ american_scientific_journal-2922 19 56 ๐‘Œ๐‘Œ ๐‘Œ๐‘Œ PROPN american_scientific_journal-2922 19 57 can can AUX american_scientific_journal-2922 19 58 be be AUX american_scientific_journal-2922 19 59 defined define VERB american_scientific_journal-2922 19 60 by by ADP american_scientific_journal-2922 19 61 , , PUNCT american_scientific_journal-2922 19 62 ๐‘…๐‘… ๐‘…๐‘… PROPN american_scientific_journal-2922 19 63 = = SYM american_scientific_journal-2922 19 64 { { PUNCT american_scientific_journal-2922 19 65 ( ( PUNCT american_scientific_journal-2922 19 66 ๐‘ฅ๐‘ฅ,๐‘ฆ๐‘ฆ)|๐‘ฅ๐‘ฅ ๐‘ฅ๐‘ฅ,๐‘ฆ๐‘ฆ)|๐‘ฅ๐‘ฅ PROPN american_scientific_journal-2922 19 67 โˆˆ โˆˆ PROPN american_scientific_journal-2922 19 68 ๐‘‹๐‘‹,๐‘ฆ๐‘ฆ ๐‘‹๐‘‹,๐‘ฆ๐‘ฆ NOUN american_scientific_journal-2922 19 69 โˆˆ โˆˆ PROPN american_scientific_journal-2922 19 70 ๐‘Œ๐‘Œ ๐‘Œ๐‘Œ PROPN american_scientific_journal-2922 19 71 } } PUNCT american_scientific_journal-2922 19 72 the the DET american_scientific_journal-2922 19 73 characteristics characteristic NOUN american_scientific_journal-2922 19 74 function function NOUN american_scientific_journal-2922 19 75 of of ADP american_scientific_journal-2922 19 76 a a DET american_scientific_journal-2922 19 77 classical classical ADJ american_scientific_journal-2922 19 78 relation relation NOUN american_scientific_journal-2922 19 79 is be AUX american_scientific_journal-2922 19 80 given give VERB american_scientific_journal-2922 19 81 by by ADP american_scientific_journal-2922 19 82 , , PUNCT american_scientific_journal-2922 19 83 ๐œ‡๐œ‡๐‘…๐‘…(๐‘ฅ๐‘ฅ,๐‘ฆ๐‘ฆ ๐œ‡๐œ‡๐‘…๐‘…(๐‘ฅ๐‘ฅ,๐‘ฆ๐‘ฆ PROPN american_scientific_journal-2922 19 84 ) ) PUNCT american_scientific_journal-2922 19 85 = = SYM american_scientific_journal-2922 19 86 ๏ฟฝ ๏ฟฝ PROPN american_scientific_journal-2922 19 87 1 1 NUM american_scientific_journal-2922 19 88 ; ; PUNCT american_scientific_journal-2922 19 89 ( ( PUNCT american_scientific_journal-2922 19 90 ๐‘ฅ๐‘ฅ,๐‘ฆ๐‘ฆ ๐‘ฅ๐‘ฅ,๐‘ฆ๐‘ฆ ADJ american_scientific_journal-2922 19 91 ) ) PUNCT american_scientific_journal-2922 19 92 โˆˆ โˆˆ PROPN american_scientific_journal-2922 19 93 ๐‘…๐‘… ๐‘…๐‘… PROPN american_scientific_journal-2922 19 94 0 0 NUM american_scientific_journal-2922 19 95 ; ; PUNCT american_scientific_journal-2922 19 96 ( ( PUNCT american_scientific_journal-2922 19 97 ๐‘ฅ๐‘ฅ,๐‘ฆ๐‘ฆ ๐‘ฅ๐‘ฅ,๐‘ฆ๐‘ฆ ADJ american_scientific_journal-2922 19 98 ) ) PUNCT american_scientific_journal-2922 19 99 โˆ‰ โˆ‰ PROPN american_scientific_journal-2922 19 100 ๐‘…๐‘… ๐‘…๐‘… PROPN american_scientific_journal-2922 19 101 fuzzy fuzzy ADJ american_scientific_journal-2922 19 102 relation relation NOUN american_scientific_journal-2922 19 103 is be AUX american_scientific_journal-2922 19 104 the the DET american_scientific_journal-2922 19 105 generalization generalization NOUN american_scientific_journal-2922 19 106 of of ADP american_scientific_journal-2922 19 107 classical classical ADJ american_scientific_journal-2922 19 108 relation relation NOUN american_scientific_journal-2922 19 109 as as ADP american_scientific_journal-2922 19 110 fuzzy fuzzy ADJ american_scientific_journal-2922 19 111 set set NOUN american_scientific_journal-2922 19 112 is be AUX american_scientific_journal-2922 19 113 the the DET american_scientific_journal-2922 19 114 generalization generalization NOUN american_scientific_journal-2922 19 115 of of ADP american_scientific_journal-2922 19 116 classical classical ADJ american_scientific_journal-2922 19 117 set set NOUN american_scientific_journal-2922 20 1 [ [ X american_scientific_journal-2922 20 2 4 4 NUM american_scientific_journal-2922 20 3 ] ] PUNCT american_scientific_journal-2922 20 4 . . PUNCT american_scientific_journal-2922 21 1 in in ADP american_scientific_journal-2922 21 2 a a DET american_scientific_journal-2922 21 3 fuzzy fuzzy ADJ american_scientific_journal-2922 21 4 relation relation NOUN american_scientific_journal-2922 21 5 , , PUNCT american_scientific_journal-2922 21 6 membership membership NOUN american_scientific_journal-2922 21 7 grade grade NOUN american_scientific_journal-2922 21 8 ๐‘…๐‘…(๐‘ฅ๐‘ฅ,๐‘ฆ๐‘ฆ ๐‘…๐‘…(๐‘ฅ๐‘ฅ,๐‘ฆ๐‘ฆ NOUN american_scientific_journal-2922 21 9 ) ) PUNCT american_scientific_journal-2922 21 10 is be AUX american_scientific_journal-2922 21 11 taken take VERB american_scientific_journal-2922 21 12 from from ADP american_scientific_journal-2922 21 13 the the DET american_scientific_journal-2922 21 14 interval interval NOUN american_scientific_journal-2922 21 15 [ [ X american_scientific_journal-2922 21 16 0,1 0,1 NUM american_scientific_journal-2922 21 17 ] ] PUNCT american_scientific_journal-2922 21 18 instead instead ADV american_scientific_journal-2922 21 19 of of ADP american_scientific_journal-2922 21 20 { { PUNCT american_scientific_journal-2922 21 21 0 0 NUM american_scientific_journal-2922 21 22 , , PUNCT american_scientific_journal-2922 21 23 1 1 NUM american_scientific_journal-2922 21 24 } } PUNCT american_scientific_journal-2922 21 25 . . PUNCT american_scientific_journal-2922 22 1 2 2 X american_scientific_journal-2922 22 2 . . X american_scientific_journal-2922 22 3 fuzzy fuzzy ADJ american_scientific_journal-2922 22 4 relation relation NOUN american_scientific_journal-2922 22 5 [ [ X american_scientific_journal-2922 22 6 4 4 X american_scientific_journal-2922 22 7 ] ] PUNCT american_scientific_journal-2922 22 8 first first ADV american_scientific_journal-2922 22 9 we we PRON american_scientific_journal-2922 22 10 describe describe VERB american_scientific_journal-2922 22 11 a a DET american_scientific_journal-2922 22 12 classical classical ADJ american_scientific_journal-2922 22 13 relation relation NOUN american_scientific_journal-2922 22 14 between between ADP american_scientific_journal-2922 22 15 the the DET american_scientific_journal-2922 22 16 color color NOUN american_scientific_journal-2922 22 17 of of ADP american_scientific_journal-2922 22 18 a a DET american_scientific_journal-2922 22 19 mango mango NOUN american_scientific_journal-2922 22 20 , , PUNCT american_scientific_journal-2922 22 21 ๐‘‹๐‘‹ ๐‘‹๐‘‹ PROPN american_scientific_journal-2922 22 22 and and CCONJ american_scientific_journal-2922 22 23 the the DET american_scientific_journal-2922 22 24 grade grade NOUN american_scientific_journal-2922 22 25 of of ADP american_scientific_journal-2922 22 26 its its PRON american_scientific_journal-2922 22 27 maturity maturity NOUN american_scientific_journal-2922 22 28 , , PUNCT american_scientific_journal-2922 22 29 ๐‘Œ๐‘Œ. ๐‘Œ๐‘Œ. PUNCT american_scientific_journal-2922 22 30 ๐‘‹๐‘‹ ๐‘‹๐‘‹ PROPN american_scientific_journal-2922 22 31 = = PRON american_scientific_journal-2922 22 32 { { PUNCT american_scientific_journal-2922 22 33 ๐‘ฆ๐‘ฆ๐‘ฆ๐‘ฆ๐‘ฆ๐‘ฆ๐‘ฆ๐‘ฆ๐‘ฆ๐‘ฆ๐‘ฆ๐‘ฆ ๐‘ฆ๐‘ฆ๐‘ฆ๐‘ฆ๐‘ฆ๐‘ฆ๐‘ฆ๐‘ฆ๐‘ฆ๐‘ฆ๐‘ฆ๐‘ฆ NOUN american_scientific_journal-2922 22 34 , , PUNCT american_scientific_journal-2922 22 35 ๐‘ฆ๐‘ฆ๐‘™๐‘™๐‘™๐‘™โ„Ž๐‘ก๐‘ก ๐‘ฆ๐‘ฆ๐‘™๐‘™๐‘™๐‘™โ„Ž๐‘ก๐‘ก ADJ american_scientific_journal-2922 22 36 ๐‘™๐‘™๐‘”๐‘”๐‘ฆ๐‘ฆ๐‘ฆ๐‘ฆ๐‘”๐‘”,๐‘™๐‘™๐‘”๐‘”๐‘ฆ๐‘ฆ๐‘ฆ๐‘ฆ๐‘”๐‘” ๐‘™๐‘™๐‘”๐‘”๐‘ฆ๐‘ฆ๐‘ฆ๐‘ฆ๐‘”๐‘”,๐‘™๐‘™๐‘”๐‘”๐‘ฆ๐‘ฆ๐‘ฆ๐‘ฆ๐‘”๐‘” NOUN american_scientific_journal-2922 22 37 } } PUNCT american_scientific_journal-2922 22 38 ๐‘Œ๐‘Œ ๐‘Œ๐‘Œ PROPN american_scientific_journal-2922 22 39 = = SYM american_scientific_journal-2922 22 40 { { PUNCT american_scientific_journal-2922 22 41 ๐‘”๐‘”๐‘Ÿ๐‘Ÿ๐‘ฆ๐‘ฆ ๐‘”๐‘”๐‘Ÿ๐‘Ÿ๐‘ฆ๐‘ฆ ADV american_scientific_journal-2922 22 42 , , PUNCT american_scientific_journal-2922 22 43 โ„Ž๐‘Ÿ๐‘Ÿ๐‘ฆ๐‘ฆ๐‘Ž๐‘Ž โ„Ž๐‘Ÿ๐‘Ÿ๐‘ฆ๐‘ฆ๐‘Ž๐‘Ž ADJ american_scientific_journal-2922 22 44 โˆ’ โˆ’ PROPN american_scientific_journal-2922 22 45 ๐‘š๐‘š๐‘Ÿ๐‘Ÿ๐‘ก๐‘ก๐‘š๐‘š๐‘”๐‘”๐‘ฆ๐‘ฆ๐‘š๐‘š ๐‘š๐‘š๐‘Ÿ๐‘Ÿ๐‘ก๐‘ก๐‘š๐‘š๐‘”๐‘”๐‘ฆ๐‘ฆ๐‘š๐‘š NOUN american_scientific_journal-2922 22 46 , , PUNCT american_scientific_journal-2922 22 47 ๐‘”๐‘”๐‘™๐‘™๐‘Ÿ๐‘Ÿ๐‘ฆ๐‘ฆ ๐‘”๐‘”๐‘™๐‘™๐‘Ÿ๐‘Ÿ๐‘ฆ๐‘ฆ NOUN american_scientific_journal-2922 22 48 } } PUNCT american_scientific_journal-2922 22 49 now now ADV american_scientific_journal-2922 22 50 , , PUNCT american_scientific_journal-2922 22 51 the the DET american_scientific_journal-2922 22 52 membership membership NOUN american_scientific_journal-2922 22 53 grade grade NOUN american_scientific_journal-2922 22 54 of of ADP american_scientific_journal-2922 22 55 classical classical ADJ american_scientific_journal-2922 22 56 relation relation NOUN american_scientific_journal-2922 22 57 from from ADP american_scientific_journal-2922 22 58 ๐‘‹๐‘‹ ๐‘‹๐‘‹ PROPN american_scientific_journal-2922 22 59 to to ADP american_scientific_journal-2922 22 60 ๐‘Œ๐‘Œ ๐‘Œ๐‘Œ PROPN american_scientific_journal-2922 22 61 is be AUX american_scientific_journal-2922 22 62 given give VERB american_scientific_journal-2922 22 63 in in ADP american_scientific_journal-2922 22 64 the the DET american_scientific_journal-2922 22 65 tabular tabular NOUN american_scientific_journal-2922 22 66 form form NOUN american_scientific_journal-2922 22 67 , , PUNCT american_scientific_journal-2922 22 68 table table NOUN american_scientific_journal-2922 22 69 1 1 NUM american_scientific_journal-2922 22 70 raw raw ADJ american_scientific_journal-2922 22 71 half half ADJ american_scientific_journal-2922 22 72 - - PUNCT american_scientific_journal-2922 22 73 matured mature VERB american_scientific_journal-2922 22 74 ripe ripe ADJ american_scientific_journal-2922 22 75 yellow yellow NOUN american_scientific_journal-2922 22 76 0 0 NUM american_scientific_journal-2922 22 77 0 0 NUM american_scientific_journal-2922 22 78 1 1 NUM american_scientific_journal-2922 22 79 light light NOUN american_scientific_journal-2922 22 80 green green ADJ american_scientific_journal-2922 22 81 0 0 NUM american_scientific_journal-2922 22 82 1 1 NUM american_scientific_journal-2922 22 83 0 0 NUM american_scientific_journal-2922 22 84 green green ADJ american_scientific_journal-2922 22 85 1 1 NUM american_scientific_journal-2922 22 86 0 0 NUM american_scientific_journal-2922 22 87 0 0 NUM american_scientific_journal-2922 23 1 we we PRON american_scientific_journal-2922 23 2 see see VERB american_scientific_journal-2922 23 3 that that SCONJ american_scientific_journal-2922 23 4 , , PUNCT american_scientific_journal-2922 23 5 the the DET american_scientific_journal-2922 23 6 membership membership NOUN american_scientific_journal-2922 23 7 grade grade NOUN american_scientific_journal-2922 23 8 is be AUX american_scientific_journal-2922 23 9 obtained obtain VERB american_scientific_journal-2922 23 10 from from ADP american_scientific_journal-2922 23 11 the the DET american_scientific_journal-2922 23 12 set set NOUN american_scientific_journal-2922 23 13 , , PUNCT american_scientific_journal-2922 23 14 { { PUNCT american_scientific_journal-2922 23 15 0,1 0,1 NOUN american_scientific_journal-2922 23 16 } } PUNCT american_scientific_journal-2922 23 17 . . PUNCT american_scientific_journal-2922 24 1 if if SCONJ american_scientific_journal-2922 24 2 the the DET american_scientific_journal-2922 24 3 color color NOUN american_scientific_journal-2922 24 4 of of ADP american_scientific_journal-2922 24 5 the the DET american_scientific_journal-2922 24 6 mango mango NOUN american_scientific_journal-2922 24 7 is be AUX american_scientific_journal-2922 24 8 green green ADJ american_scientific_journal-2922 24 9 then then ADV american_scientific_journal-2922 24 10 it it PRON american_scientific_journal-2922 24 11 is be AUX american_scientific_journal-2922 24 12 raw raw ADJ american_scientific_journal-2922 24 13 , , PUNCT american_scientific_journal-2922 24 14 if if SCONJ american_scientific_journal-2922 24 15 the the DET american_scientific_journal-2922 24 16 color color NOUN american_scientific_journal-2922 24 17 is be AUX american_scientific_journal-2922 24 18 light light ADJ american_scientific_journal-2922 24 19 green green ADJ american_scientific_journal-2922 24 20 then then ADV american_scientific_journal-2922 24 21 it it PRON american_scientific_journal-2922 24 22 is be AUX american_scientific_journal-2922 24 23 half half ADV american_scientific_journal-2922 24 24 - - PUNCT american_scientific_journal-2922 24 25 matured mature VERB american_scientific_journal-2922 24 26 and and CCONJ american_scientific_journal-2922 24 27 if if SCONJ american_scientific_journal-2922 24 28 the the DET american_scientific_journal-2922 24 29 color color NOUN american_scientific_journal-2922 24 30 is be AUX american_scientific_journal-2922 24 31 yellow yellow ADJ american_scientific_journal-2922 24 32 then then ADV american_scientific_journal-2922 24 33 the the DET american_scientific_journal-2922 24 34 mango mango NOUN american_scientific_journal-2922 24 35 is be AUX american_scientific_journal-2922 24 36 ripe ripe ADJ american_scientific_journal-2922 24 37 . . PUNCT american_scientific_journal-2922 25 1 thus thus ADV american_scientific_journal-2922 25 2 the the DET american_scientific_journal-2922 25 3 characteristics characteristic NOUN american_scientific_journal-2922 25 4 function function NOUN american_scientific_journal-2922 25 5 of of ADP american_scientific_journal-2922 25 6 a a DET american_scientific_journal-2922 25 7 classical classical ADJ american_scientific_journal-2922 25 8 relation relation NOUN american_scientific_journal-2922 25 9 is be AUX american_scientific_journal-2922 25 10 given give VERB american_scientific_journal-2922 25 11 by by ADP american_scientific_journal-2922 25 12 , , PUNCT american_scientific_journal-2922 25 13 ๐œ‡๐œ‡๐‘…๐‘…(๐‘ฅ๐‘ฅ,๐‘ฆ๐‘ฆ ๐œ‡๐œ‡๐‘…๐‘…(๐‘ฅ๐‘ฅ,๐‘ฆ๐‘ฆ PROPN american_scientific_journal-2922 25 14 ) ) PUNCT american_scientific_journal-2922 25 15 = = SYM american_scientific_journal-2922 25 16 ๏ฟฝ ๏ฟฝ PROPN american_scientific_journal-2922 25 17 1 1 NUM american_scientific_journal-2922 25 18 ; ; PUNCT american_scientific_journal-2922 25 19 ( ( PUNCT american_scientific_journal-2922 25 20 ๐‘ฅ๐‘ฅ,๐‘ฆ๐‘ฆ ๐‘ฅ๐‘ฅ,๐‘ฆ๐‘ฆ ADJ american_scientific_journal-2922 25 21 ) ) PUNCT american_scientific_journal-2922 25 22 โˆˆ โˆˆ PROPN american_scientific_journal-2922 25 23 ๐‘…๐‘… ๐‘…๐‘… PROPN american_scientific_journal-2922 25 24 0 0 NUM american_scientific_journal-2922 25 25 ; ; PUNCT american_scientific_journal-2922 25 26 ( ( PUNCT american_scientific_journal-2922 25 27 ๐‘ฅ๐‘ฅ,๐‘ฆ๐‘ฆ ๐‘ฅ๐‘ฅ,๐‘ฆ๐‘ฆ ADJ american_scientific_journal-2922 25 28 ) ) PUNCT american_scientific_journal-2922 25 29 โˆ‰ โˆ‰ PROPN american_scientific_journal-2922 26 1 ๐‘…๐‘… ๐‘…๐‘… PROPN american_scientific_journal-2922 26 2 american american PROPN american_scientific_journal-2922 26 3 scientific scientific PROPN american_scientific_journal-2922 26 4 research research PROPN american_scientific_journal-2922 26 5 journal journal NOUN american_scientific_journal-2922 26 6 for for ADP american_scientific_journal-2922 26 7 engineering engineering NOUN american_scientific_journal-2922 26 8 , , PUNCT american_scientific_journal-2922 26 9 technology technology NOUN american_scientific_journal-2922 26 10 , , PUNCT american_scientific_journal-2922 26 11 and and CCONJ american_scientific_journal-2922 26 12 sciences science NOUN american_scientific_journal-2922 26 13 ( ( PUNCT american_scientific_journal-2922 26 14 asrjets asrjet NOUN american_scientific_journal-2922 26 15 ) ) PUNCT american_scientific_journal-2922 26 16 ( ( PUNCT american_scientific_journal-2922 26 17 2017 2017 NUM american_scientific_journal-2922 26 18 ) ) PUNCT american_scientific_journal-2922 26 19 volume volume NOUN american_scientific_journal-2922 26 20 31 31 NUM american_scientific_journal-2922 26 21 , , PUNCT american_scientific_journal-2922 26 22 no no DET american_scientific_journal-2922 26 23 1 1 NUM american_scientific_journal-2922 26 24 , , PUNCT american_scientific_journal-2922 26 25 pp pp ADV american_scientific_journal-2922 26 26 240 240 NUM american_scientific_journal-2922 26 27 - - SYM american_scientific_journal-2922 26 28 248 248 NUM american_scientific_journal-2922 26 29 242 242 NUM american_scientific_journal-2922 26 30 now now ADV american_scientific_journal-2922 26 31 , , PUNCT american_scientific_journal-2922 26 32 if if SCONJ american_scientific_journal-2922 26 33 we we PRON american_scientific_journal-2922 26 34 take take VERB american_scientific_journal-2922 26 35 the the DET american_scientific_journal-2922 26 36 membership membership NOUN american_scientific_journal-2922 26 37 grade grade NOUN american_scientific_journal-2922 26 38 from from ADP american_scientific_journal-2922 26 39 [ [ X american_scientific_journal-2922 26 40 0,1 0,1 NUM american_scientific_journal-2922 26 41 ] ] PUNCT american_scientific_journal-2922 26 42 interval interval NOUN american_scientific_journal-2922 26 43 instead instead ADV american_scientific_journal-2922 26 44 of of ADP american_scientific_journal-2922 26 45 { { PUNCT american_scientific_journal-2922 26 46 0,1 0,1 NUM american_scientific_journal-2922 26 47 } } PUNCT american_scientific_journal-2922 26 48 , , PUNCT american_scientific_journal-2922 26 49 we we PRON american_scientific_journal-2922 26 50 get get VERB american_scientific_journal-2922 26 51 a a DET american_scientific_journal-2922 26 52 membership membership NOUN american_scientific_journal-2922 26 53 grade grade NOUN american_scientific_journal-2922 26 54 in in ADP american_scientific_journal-2922 26 55 fuzzy fuzzy ADJ american_scientific_journal-2922 26 56 relation relation NOUN american_scientific_journal-2922 26 57 . . PUNCT american_scientific_journal-2922 27 1 we we PRON american_scientific_journal-2922 27 2 show show VERB american_scientific_journal-2922 27 3 the the DET american_scientific_journal-2922 27 4 membership membership NOUN american_scientific_journal-2922 27 5 grade grade NOUN american_scientific_journal-2922 27 6 in in ADP american_scientific_journal-2922 27 7 the the DET american_scientific_journal-2922 27 8 fuzzy fuzzy ADJ american_scientific_journal-2922 27 9 relation relation NOUN american_scientific_journal-2922 27 10 as as SCONJ american_scientific_journal-2922 27 11 follows follow VERB american_scientific_journal-2922 27 12 : : PUNCT american_scientific_journal-2922 27 13 table table NOUN american_scientific_journal-2922 27 14 2 2 NUM american_scientific_journal-2922 27 15 raw raw ADJ american_scientific_journal-2922 27 16 half half ADJ american_scientific_journal-2922 27 17 - - PUNCT american_scientific_journal-2922 27 18 matured mature VERB american_scientific_journal-2922 27 19 ripe ripe ADJ american_scientific_journal-2922 27 20 yellow yellow NOUN american_scientific_journal-2922 27 21 0 0 NUM american_scientific_journal-2922 27 22 0.8 0.8 NUM american_scientific_journal-2922 27 23 1 1 NUM american_scientific_journal-2922 27 24 light light NOUN american_scientific_journal-2922 27 25 green green ADJ american_scientific_journal-2922 27 26 0.6 0.6 NUM american_scientific_journal-2922 27 27 1 1 NUM american_scientific_journal-2922 27 28 0.3 0.3 NUM american_scientific_journal-2922 27 29 green green ADJ american_scientific_journal-2922 27 30 1 1 NUM american_scientific_journal-2922 27 31 0.3 0.3 NUM american_scientific_journal-2922 27 32 0 0 NUM american_scientific_journal-2922 27 33 definition definition NOUN american_scientific_journal-2922 27 34 : : PUNCT american_scientific_journal-2922 27 35 let let VERB american_scientific_journal-2922 27 36 , , PUNCT american_scientific_journal-2922 27 37 ๐‘‹๐‘‹ ๐‘‹๐‘‹ PROPN american_scientific_journal-2922 27 38 and and CCONJ american_scientific_journal-2922 27 39 ๐‘Œ๐‘Œ ๐‘Œ๐‘Œ PROPN american_scientific_journal-2922 27 40 are be AUX american_scientific_journal-2922 27 41 two two NUM american_scientific_journal-2922 27 42 non non ADJ american_scientific_journal-2922 27 43 - - ADJ american_scientific_journal-2922 27 44 empty empty ADJ american_scientific_journal-2922 27 45 sets set NOUN american_scientific_journal-2922 27 46 . . PUNCT american_scientific_journal-2922 28 1 then then ADV american_scientific_journal-2922 28 2 the the DET american_scientific_journal-2922 28 3 fuzzy fuzzy ADJ american_scientific_journal-2922 28 4 relations relation NOUN american_scientific_journal-2922 28 5 , , PUNCT american_scientific_journal-2922 28 6 ๐‘…๐‘…:๐‘‹๐‘‹ ๐‘…๐‘…:๐‘‹๐‘‹ ADJ american_scientific_journal-2922 28 7 ร— ร— PROPN american_scientific_journal-2922 28 8 ๐‘Œ๐‘Œ ๐‘Œ๐‘Œ PROPN american_scientific_journal-2922 28 9 โ†’ โ†’ PUNCT american_scientific_journal-2922 28 10 ๐ผ๐ผ ๐ผ๐ผ PROPN american_scientific_journal-2922 28 11 is be AUX american_scientific_journal-2922 28 12 defined define VERB american_scientific_journal-2922 28 13 as as ADP american_scientific_journal-2922 28 14 follows follow VERB american_scientific_journal-2922 28 15 : : PUNCT american_scientific_journal-2922 28 16 ๐‘…๐‘…(๐‘ฅ๐‘ฅ,๐‘ฆ๐‘ฆ ๐‘…๐‘…(๐‘ฅ๐‘ฅ,๐‘ฆ๐‘ฆ NOUN american_scientific_journal-2922 28 17 ) ) PUNCT american_scientific_journal-2922 28 18 = = SYM american_scientific_journal-2922 28 19 { { PUNCT american_scientific_journal-2922 28 20 ( ( PUNCT american_scientific_journal-2922 28 21 ๐‘ฅ๐‘ฅ,๐‘ฆ๐‘ฆ ๐‘ฅ๐‘ฅ,๐‘ฆ๐‘ฆ ADJ american_scientific_journal-2922 28 22 ) ) PUNCT american_scientific_journal-2922 28 23 , , PUNCT american_scientific_journal-2922 28 24 ๐œ‡๐œ‡๐‘…๐‘…(๐‘ฅ๐‘ฅ,๐‘ฆ๐‘ฆ)|(๐‘ฅ๐‘ฅ,๐‘ฆ๐‘ฆ ๐œ‡๐œ‡๐‘…๐‘…(๐‘ฅ๐‘ฅ,๐‘ฆ๐‘ฆ)|(๐‘ฅ๐‘ฅ,๐‘ฆ๐‘ฆ NOUN american_scientific_journal-2922 28 25 ) ) PUNCT american_scientific_journal-2922 28 26 โˆˆ โˆˆ PROPN american_scientific_journal-2922 28 27 ๐‘‹๐‘‹ ๐‘‹๐‘‹ PROPN american_scientific_journal-2922 28 28 ร— ร— PROPN american_scientific_journal-2922 28 29 ๐‘Œ๐‘Œ ๐‘Œ๐‘Œ PROPN american_scientific_journal-2922 28 30 } } PUNCT american_scientific_journal-2922 28 31 where where SCONJ american_scientific_journal-2922 28 32 , , PUNCT american_scientific_journal-2922 28 33 ๐œ‡๐œ‡๐‘…๐‘…(๐‘ฅ๐‘ฅ,๐‘ฆ๐‘ฆ)is ๐œ‡๐œ‡๐‘…๐‘…(๐‘ฅ๐‘ฅ,๐‘ฆ๐‘ฆ)is VERB american_scientific_journal-2922 28 34 the the DET american_scientific_journal-2922 28 35 membership membership NOUN american_scientific_journal-2922 28 36 grade grade NOUN american_scientific_journal-2922 28 37 of of ADP american_scientific_journal-2922 28 38 the the DET american_scientific_journal-2922 28 39 ordered order VERB american_scientific_journal-2922 28 40 pair pair NOUN american_scientific_journal-2922 28 41 ( ( PUNCT american_scientific_journal-2922 28 42 ๐‘ฅ๐‘ฅ,๐‘ฆ๐‘ฆ)and ๐‘ฅ๐‘ฅ,๐‘ฆ๐‘ฆ)and PROPN american_scientific_journal-2922 28 43 ๐ผ๐ผ ๐ผ๐ผ PROPN american_scientific_journal-2922 28 44 = = PUNCT american_scientific_journal-2922 29 1 [ [ X american_scientific_journal-2922 29 2 0,1 0,1 NUM american_scientific_journal-2922 29 3 ] ] X american_scientific_journal-2922 30 1 [ [ X american_scientific_journal-2922 30 2 3 3 NUM american_scientific_journal-2922 30 3 ] ] PUNCT american_scientific_journal-2922 30 4 . . PUNCT american_scientific_journal-2922 31 1 let let VERB american_scientific_journal-2922 31 2 , , PUNCT american_scientific_journal-2922 31 3 ๐‘‹๐‘‹ ๐‘‹๐‘‹ PROPN american_scientific_journal-2922 31 4 = = PUNCT american_scientific_journal-2922 31 5 { { PUNCT american_scientific_journal-2922 31 6 ๐‘ฅ๐‘ฅ1 ๐‘ฅ๐‘ฅ1 PROPN american_scientific_journal-2922 31 7 , , PUNCT american_scientific_journal-2922 31 8 ๐‘ฅ๐‘ฅ2 ๐‘ฅ๐‘ฅ2 ADV american_scientific_journal-2922 31 9 , , PUNCT american_scientific_journal-2922 31 10 โ€ฆ โ€ฆ PUNCT american_scientific_journal-2922 31 11 โ€ฆ โ€ฆ PUNCT american_scientific_journal-2922 31 12 , , PUNCT american_scientific_journal-2922 31 13 ๐‘ฅ๐‘ฅ๐‘š๐‘š ๐‘ฅ๐‘ฅ๐‘š๐‘š NOUN american_scientific_journal-2922 31 14 } } PUNCT american_scientific_journal-2922 31 15 and and CCONJ american_scientific_journal-2922 31 16 ๐‘Œ๐‘Œ ๐‘Œ๐‘Œ PROPN american_scientific_journal-2922 31 17 = = SYM american_scientific_journal-2922 31 18 { { PUNCT american_scientific_journal-2922 31 19 ๐‘ฆ๐‘ฆ1,๐‘ฆ๐‘ฆ2 ๐‘ฆ๐‘ฆ1,๐‘ฆ๐‘ฆ2 PROPN american_scientific_journal-2922 31 20 , , PUNCT american_scientific_journal-2922 31 21 โ€ฆ โ€ฆ PUNCT american_scientific_journal-2922 31 22 โ€ฆ โ€ฆ PUNCT american_scientific_journal-2922 31 23 , , PUNCT american_scientific_journal-2922 31 24 ๐‘ฆ๐‘ฆ๐‘›๐‘› ๐‘ฆ๐‘ฆ๐‘›๐‘› ADJ american_scientific_journal-2922 31 25 } } PUNCT american_scientific_journal-2922 31 26 , , PUNCT american_scientific_journal-2922 31 27 the the DET american_scientific_journal-2922 31 28 ๐‘š๐‘š ๐‘š๐‘š ADP american_scientific_journal-2922 31 29 ร— ร— NOUN american_scientific_journal-2922 31 30 ๐‘”๐‘” ๐‘”๐‘” PRON american_scientific_journal-2922 31 31 matrix matrix NOUN american_scientific_journal-2922 31 32 form form NOUN american_scientific_journal-2922 31 33 of of ADP american_scientific_journal-2922 31 34 the the DET american_scientific_journal-2922 31 35 fuzzy fuzzy ADJ american_scientific_journal-2922 31 36 relation relation NOUN american_scientific_journal-2922 31 37 is be AUX american_scientific_journal-2922 31 38 : : PUNCT american_scientific_journal-2922 31 39 ๐‘…๐‘…(๐‘ฅ๐‘ฅ,๐‘ฆ๐‘ฆ ๐‘…๐‘…(๐‘ฅ๐‘ฅ,๐‘ฆ๐‘ฆ NOUN american_scientific_journal-2922 31 40 ) ) PUNCT american_scientific_journal-2922 31 41 = = SYM american_scientific_journal-2922 31 42 ๏ฟฝ ๏ฟฝ PROPN american_scientific_journal-2922 31 43 ๐œ‡๐œ‡๐‘…๐‘…(๐‘ฅ๐‘ฅ1,๐‘ฆ๐‘ฆ1 ๐œ‡๐œ‡๐‘…๐‘…(๐‘ฅ๐‘ฅ1,๐‘ฆ๐‘ฆ1 PROPN american_scientific_journal-2922 31 44 ) ) PUNCT american_scientific_journal-2922 31 45 โ‹ฏ โ‹ฏ NOUN american_scientific_journal-2922 31 46 ๐œ‡๐œ‡๐‘…๐‘…(๐‘ฅ๐‘ฅ1,๐‘ฆ๐‘ฆ๐‘›๐‘› ๐œ‡๐œ‡๐‘…๐‘…(๐‘ฅ๐‘ฅ1,๐‘ฆ๐‘ฆ๐‘›๐‘› NOUN american_scientific_journal-2922 31 47 ) ) PUNCT american_scientific_journal-2922 31 48 โ‹ฎ โ‹ฎ NOUN american_scientific_journal-2922 31 49 โ‹ฑ โ‹ฑ PUNCT american_scientific_journal-2922 31 50 โ‹ฎ โ‹ฎ NOUN american_scientific_journal-2922 31 51 ๐œ‡๐œ‡๐‘…๐‘…(๐‘ฅ๐‘ฅ๐‘š๐‘š,๐‘ฆ๐‘ฆ1 ๐œ‡๐œ‡๐‘…๐‘…(๐‘ฅ๐‘ฅ๐‘š๐‘š,๐‘ฆ๐‘ฆ1 ADJ american_scientific_journal-2922 31 52 ) ) PUNCT american_scientific_journal-2922 31 53 โ‹ฏ โ‹ฏ PROPN american_scientific_journal-2922 31 54 ๐œ‡๐œ‡๐‘…๐‘…(๐‘ฅ๐‘ฅ๐‘š๐‘š ๐œ‡๐œ‡๐‘…๐‘…(๐‘ฅ๐‘ฅ๐‘š๐‘š PROPN american_scientific_journal-2922 31 55 , , PUNCT american_scientific_journal-2922 31 56 ๐‘ฆ๐‘ฆ๐‘›๐‘› ๐‘ฆ๐‘ฆ๐‘›๐‘› ADJ american_scientific_journal-2922 31 57 ) ) PUNCT american_scientific_journal-2922 31 58 ๏ฟฝ ๏ฟฝ PROPN american_scientific_journal-2922 31 59 example example NOUN american_scientific_journal-2922 31 60 : : PUNCT american_scientific_journal-2922 31 61 let let VERB american_scientific_journal-2922 31 62 , , PUNCT american_scientific_journal-2922 31 63 ๐‘‹๐‘‹ ๐‘‹๐‘‹ PROPN american_scientific_journal-2922 31 64 = = PUNCT american_scientific_journal-2922 31 65 { { PUNCT american_scientific_journal-2922 31 66 0,1,2,3,4,5 0,1,2,3,4,5 NUM american_scientific_journal-2922 31 67 } } PUNCT american_scientific_journal-2922 31 68 and and CCONJ american_scientific_journal-2922 31 69 ๐‘Œ๐‘Œ ๐‘Œ๐‘Œ PROPN american_scientific_journal-2922 31 70 = = SYM american_scientific_journal-2922 31 71 { { PUNCT american_scientific_journal-2922 31 72 1,3,5,7,9,11 1,3,5,7,9,11 NUM american_scientific_journal-2922 31 73 } } PUNCT american_scientific_journal-2922 31 74 . . PUNCT american_scientific_journal-2922 32 1 a a DET american_scientific_journal-2922 32 2 fuzzy fuzzy ADJ american_scientific_journal-2922 32 3 relation relation NOUN american_scientific_journal-2922 32 4 is be AUX american_scientific_journal-2922 32 5 defined define VERB american_scientific_journal-2922 32 6 as as ADP american_scientific_journal-2922 32 7 follows follow VERB american_scientific_journal-2922 32 8 : : PUNCT american_scientific_journal-2922 32 9 ๐‘…๐‘…(๐‘ฅ๐‘ฅ,๐‘ฆ๐‘ฆ ๐‘…๐‘…(๐‘ฅ๐‘ฅ,๐‘ฆ๐‘ฆ NOUN american_scientific_journal-2922 32 10 ) ) PUNCT american_scientific_journal-2922 32 11 = = SYM american_scientific_journal-2922 33 1 โŽฉ โŽฉ PROPN american_scientific_journal-2922 33 2 โŽจ โŽจ ADJ american_scientific_journal-2922 33 3 โŽง โŽง PROPN american_scientific_journal-2922 33 4 1 1 NUM american_scientific_journal-2922 33 5 ; ; PUNCT american_scientific_journal-2922 33 6 ๐‘ฅ๐‘ฅ ๐‘ฅ๐‘ฅ ADP american_scientific_journal-2922 33 7 โ‰ค โ‰ค NUM american_scientific_journal-2922 33 8 0 0 NUM american_scientific_journal-2922 33 9 1 1 NUM american_scientific_journal-2922 33 10 โˆ’ โˆ’ NOUN american_scientific_journal-2922 33 11 ๐‘ฅ๐‘ฅ2 ๐‘ฅ๐‘ฅ2 ADV american_scientific_journal-2922 33 12 1 1 NUM american_scientific_journal-2922 33 13 + + CCONJ american_scientific_journal-2922 33 14 ๐‘ฆ๐‘ฆ2 ๐‘ฆ๐‘ฆ2 ADJ american_scientific_journal-2922 33 15 ; ; PUNCT american_scientific_journal-2922 33 16 0 0 NUM american_scientific_journal-2922 33 17 < < X american_scientific_journal-2922 33 18 ๐‘ฅ๐‘ฅ ๐‘ฅ๐‘ฅ ADP american_scientific_journal-2922 33 19 โ‰ค โ‰ค NUM american_scientific_journal-2922 33 20 ๐‘ฆ๐‘ฆ ๐‘ฆ๐‘ฆ ADP american_scientific_journal-2922 33 21 0 0 NUM american_scientific_journal-2922 33 22 ; ; PUNCT american_scientific_journal-2922 33 23 ๐‘ฅ๐‘ฅ ๐‘ฅ๐‘ฅ ADP american_scientific_journal-2922 33 24 > > X american_scientific_journal-2922 33 25 ๐‘ฆ๐‘ฆ ๐‘ฆ๐‘ฆ PROPN american_scientific_journal-2922 33 26 the the DET american_scientific_journal-2922 33 27 membership membership NOUN american_scientific_journal-2922 33 28 grade grade NOUN american_scientific_journal-2922 33 29 of of ADP american_scientific_journal-2922 33 30 the the DET american_scientific_journal-2922 33 31 relation relation NOUN american_scientific_journal-2922 33 32 is be AUX american_scientific_journal-2922 33 33 given give VERB american_scientific_journal-2922 33 34 in in ADP american_scientific_journal-2922 33 35 the the DET american_scientific_journal-2922 33 36 following follow VERB american_scientific_journal-2922 33 37 table table NOUN american_scientific_journal-2922 33 38 : : PUNCT american_scientific_journal-2922 33 39 table table NOUN american_scientific_journal-2922 33 40 3 3 NUM american_scientific_journal-2922 33 41 ๐‘น๐‘น(๐’™๐’™,๐’š๐’š ๐‘น๐‘น(๐’™๐’™,๐’š๐’š NOUN american_scientific_journal-2922 33 42 ) ) PUNCT american_scientific_journal-2922 33 43 1 1 NUM american_scientific_journal-2922 33 44 3 3 NUM american_scientific_journal-2922 33 45 5 5 NUM american_scientific_journal-2922 33 46 7 7 NUM american_scientific_journal-2922 33 47 9 9 NUM american_scientific_journal-2922 33 48 11 11 NUM american_scientific_journal-2922 33 49 0 0 NUM american_scientific_journal-2922 33 50 1 1 NUM american_scientific_journal-2922 33 51 1 1 NUM american_scientific_journal-2922 33 52 1 1 NUM american_scientific_journal-2922 33 53 1 1 NUM american_scientific_journal-2922 33 54 1 1 NUM american_scientific_journal-2922 33 55 1 1 NUM american_scientific_journal-2922 33 56 1 1 NUM american_scientific_journal-2922 33 57 0.5 0.5 NUM american_scientific_journal-2922 33 58 0.9 0.9 NUM american_scientific_journal-2922 33 59 0.96 0.96 NUM american_scientific_journal-2922 33 60 0.98 0.98 NUM american_scientific_journal-2922 33 61 0.988 0.988 NUM american_scientific_journal-2922 33 62 0.99 0.99 NUM american_scientific_journal-2922 33 63 2 2 NUM american_scientific_journal-2922 33 64 0 0 NUM american_scientific_journal-2922 33 65 0.6 0.6 NUM american_scientific_journal-2922 33 66 0.85 0.85 NUM american_scientific_journal-2922 33 67 0.92 0.92 NUM american_scientific_journal-2922 33 68 0.95 0.95 NUM american_scientific_journal-2922 33 69 0.97 0.97 NUM american_scientific_journal-2922 33 70 3 3 NUM american_scientific_journal-2922 33 71 0 0 NUM american_scientific_journal-2922 33 72 0.1 0.1 NUM american_scientific_journal-2922 33 73 0.65 0.65 NUM american_scientific_journal-2922 33 74 0.82 0.82 NUM american_scientific_journal-2922 33 75 0.89 0.89 NUM american_scientific_journal-2922 33 76 0.93 0.93 NUM american_scientific_journal-2922 33 77 4 4 NUM american_scientific_journal-2922 33 78 0 0 NUM american_scientific_journal-2922 33 79 0 0 NUM american_scientific_journal-2922 33 80 0.38 0.38 NUM american_scientific_journal-2922 33 81 0.68 0.68 NUM american_scientific_journal-2922 33 82 0.80 0.80 NUM american_scientific_journal-2922 33 83 0.87 0.87 NUM american_scientific_journal-2922 33 84 5 5 NUM american_scientific_journal-2922 33 85 0 0 NUM american_scientific_journal-2922 33 86 0 0 NUM american_scientific_journal-2922 33 87 0.04 0.04 NUM american_scientific_journal-2922 33 88 0.5 0.5 NUM american_scientific_journal-2922 33 89 0.7 0.7 NUM american_scientific_journal-2922 33 90 0.8 0.8 NUM american_scientific_journal-2922 33 91 american american ADJ american_scientific_journal-2922 33 92 scientific scientific ADJ american_scientific_journal-2922 33 93 research research NOUN american_scientific_journal-2922 33 94 journal journal NOUN american_scientific_journal-2922 33 95 for for ADP american_scientific_journal-2922 33 96 engineering engineering NOUN american_scientific_journal-2922 33 97 , , PUNCT american_scientific_journal-2922 33 98 technology technology NOUN american_scientific_journal-2922 33 99 , , PUNCT american_scientific_journal-2922 33 100 and and CCONJ american_scientific_journal-2922 33 101 sciences science NOUN american_scientific_journal-2922 33 102 ( ( PUNCT american_scientific_journal-2922 33 103 asrjets asrjet NOUN american_scientific_journal-2922 33 104 ) ) PUNCT american_scientific_journal-2922 33 105 ( ( PUNCT american_scientific_journal-2922 33 106 2017 2017 NUM american_scientific_journal-2922 33 107 ) ) PUNCT american_scientific_journal-2922 33 108 volume volume NOUN american_scientific_journal-2922 33 109 31 31 NUM american_scientific_journal-2922 33 110 , , PUNCT american_scientific_journal-2922 33 111 no no DET american_scientific_journal-2922 33 112 1 1 NUM american_scientific_journal-2922 33 113 , , PUNCT american_scientific_journal-2922 33 114 pp pp ADV american_scientific_journal-2922 33 115 240 240 NUM american_scientific_journal-2922 33 116 - - SYM american_scientific_journal-2922 33 117 248 248 NUM american_scientific_journal-2922 33 118 243 243 NUM american_scientific_journal-2922 33 119 2.1 2.1 NUM american_scientific_journal-2922 33 120 . . PUNCT american_scientific_journal-2922 34 1 domain domain NOUN american_scientific_journal-2922 34 2 , , PUNCT american_scientific_journal-2922 34 3 range range NOUN american_scientific_journal-2922 34 4 and and CCONJ american_scientific_journal-2922 34 5 height height NOUN american_scientific_journal-2922 34 6 of of ADP american_scientific_journal-2922 34 7 a a DET american_scientific_journal-2922 34 8 fuzzy fuzzy ADJ american_scientific_journal-2922 34 9 relation relation NOUN american_scientific_journal-2922 34 10 [ [ X american_scientific_journal-2922 34 11 2,5 2,5 NUM american_scientific_journal-2922 34 12 ] ] PUNCT american_scientific_journal-2922 34 13 let let VERB american_scientific_journal-2922 34 14 , , PUNCT american_scientific_journal-2922 34 15 ๐‘…๐‘…:๐‘‹๐‘‹ ๐‘…๐‘…:๐‘‹๐‘‹ ADJ american_scientific_journal-2922 34 16 ร— ร— PROPN american_scientific_journal-2922 34 17 ๐‘Œ๐‘Œ ๐‘Œ๐‘Œ PROPN american_scientific_journal-2922 34 18 โ†’ โ†’ PUNCT american_scientific_journal-2922 34 19 ๐ผ๐ผ ๐ผ๐ผ PROPN american_scientific_journal-2922 34 20 be be AUX american_scientific_journal-2922 34 21 a a DET american_scientific_journal-2922 34 22 fuzzy fuzzy ADJ american_scientific_journal-2922 34 23 relation relation NOUN american_scientific_journal-2922 34 24 . . PUNCT american_scientific_journal-2922 35 1 then then ADV american_scientific_journal-2922 35 2 domain domain NOUN american_scientific_journal-2922 35 3 of of ADP american_scientific_journal-2922 35 4 ๐‘…๐‘…(๐‘ฅ๐‘ฅ,๐‘ฆ๐‘ฆ ๐‘…๐‘…(๐‘ฅ๐‘ฅ,๐‘ฆ๐‘ฆ NOUN american_scientific_journal-2922 35 5 ) ) PUNCT american_scientific_journal-2922 35 6 is be AUX american_scientific_journal-2922 35 7 defined define VERB american_scientific_journal-2922 35 8 as as SCONJ american_scientific_journal-2922 35 9 follows follow VERB american_scientific_journal-2922 35 10 : : PUNCT american_scientific_journal-2922 35 11 ๐ท๐ท๐‘ฆ๐‘ฆ๐‘š๐‘š(๐‘…๐‘… ๐ท๐ท๐‘ฆ๐‘ฆ๐‘š๐‘š(๐‘…๐‘… NOUN american_scientific_journal-2922 35 12 ) ) PUNCT american_scientific_journal-2922 35 13 = = SYM american_scientific_journal-2922 35 14 ๏ฟฝ ๏ฟฝ PROPN american_scientific_journal-2922 35 15 ๏ฟฝ ๏ฟฝ PROPN american_scientific_journal-2922 35 16 max max PROPN american_scientific_journal-2922 35 17 ๐‘ฆ๐‘ฆ ๐‘ฆ๐‘ฆ PROPN american_scientific_journal-2922 35 18 ๐‘…๐‘…(๐‘ฅ๐‘ฅ,๐‘ฆ๐‘ฆ ๐‘…๐‘…(๐‘ฅ๐‘ฅ,๐‘ฆ๐‘ฆ PROPN american_scientific_journal-2922 35 19 ) ) PUNCT american_scientific_journal-2922 35 20 ๏ฟฝ ๏ฟฝ PROPN american_scientific_journal-2922 35 21 ๏ฟฝ ๏ฟฝ PROPN american_scientific_journal-2922 35 22 ( ( PUNCT american_scientific_journal-2922 35 23 ๐‘ฅ๐‘ฅ,๐‘ฆ๐‘ฆ ๐‘ฅ๐‘ฅ,๐‘ฆ๐‘ฆ ADJ american_scientific_journal-2922 35 24 ) ) PUNCT american_scientific_journal-2922 35 25 โˆˆ โˆˆ PROPN american_scientific_journal-2922 35 26 ๐‘‹๐‘‹ ๐‘‹๐‘‹ PROPN american_scientific_journal-2922 35 27 ร— ร— PROPN american_scientific_journal-2922 35 28 ๐‘Œ๐‘Œ ๐‘Œ๐‘Œ PROPN american_scientific_journal-2922 35 29 ๏ฟฝ ๏ฟฝ PROPN american_scientific_journal-2922 35 30 this this PRON american_scientific_journal-2922 35 31 is be AUX american_scientific_journal-2922 35 32 also also ADV american_scientific_journal-2922 35 33 called call VERB american_scientific_journal-2922 35 34 1st 1st ADJ american_scientific_journal-2922 35 35 projection projection NOUN american_scientific_journal-2922 35 36 or or CCONJ american_scientific_journal-2922 35 37 projection projection NOUN american_scientific_journal-2922 35 38 of of ADP american_scientific_journal-2922 35 39 ๐‘…๐‘…(๐‘ฅ๐‘ฅ,๐‘ฆ๐‘ฆ ๐‘…๐‘…(๐‘ฅ๐‘ฅ,๐‘ฆ๐‘ฆ NOUN american_scientific_journal-2922 35 40 ) ) PUNCT american_scientific_journal-2922 35 41 on on ADP american_scientific_journal-2922 35 42 ๐‘‹๐‘‹. ๐‘‹๐‘‹. ADP american_scientific_journal-2922 35 43 the the DET american_scientific_journal-2922 35 44 range range NOUN american_scientific_journal-2922 35 45 of of ADP american_scientific_journal-2922 35 46 ๐‘…๐‘…(๐‘ฅ๐‘ฅ,๐‘ฆ๐‘ฆ ๐‘…๐‘…(๐‘ฅ๐‘ฅ,๐‘ฆ๐‘ฆ NOUN american_scientific_journal-2922 35 47 ) ) PUNCT american_scientific_journal-2922 35 48 is be AUX american_scientific_journal-2922 35 49 defined define VERB american_scientific_journal-2922 35 50 as as SCONJ american_scientific_journal-2922 35 51 follows follow VERB american_scientific_journal-2922 35 52 : : PUNCT american_scientific_journal-2922 35 53 ๐‘…๐‘…๐‘Ÿ๐‘Ÿ๐‘”๐‘”๐‘™๐‘™๐‘ฆ๐‘ฆ(๐‘…๐‘… ๐‘…๐‘…๐‘Ÿ๐‘Ÿ๐‘”๐‘”๐‘™๐‘™๐‘ฆ๐‘ฆ(๐‘…๐‘… NOUN american_scientific_journal-2922 35 54 ) ) PUNCT american_scientific_journal-2922 35 55 = = SYM american_scientific_journal-2922 35 56 ๏ฟฝ ๏ฟฝ PROPN american_scientific_journal-2922 35 57 ๏ฟฝ ๏ฟฝ PROPN american_scientific_journal-2922 35 58 max max PROPN american_scientific_journal-2922 35 59 ๐‘ฅ๐‘ฅ ๐‘ฅ๐‘ฅ ADP american_scientific_journal-2922 35 60 ๐‘…๐‘…(๐‘ฅ๐‘ฅ,๐‘ฆ๐‘ฆ ๐‘…๐‘…(๐‘ฅ๐‘ฅ,๐‘ฆ๐‘ฆ NOUN american_scientific_journal-2922 35 61 ) ) PUNCT american_scientific_journal-2922 35 62 ๏ฟฝ ๏ฟฝ PROPN american_scientific_journal-2922 35 63 ๏ฟฝ ๏ฟฝ PROPN american_scientific_journal-2922 35 64 ( ( PUNCT american_scientific_journal-2922 35 65 ๐‘ฅ๐‘ฅ,๐‘ฆ๐‘ฆ ๐‘ฅ๐‘ฅ,๐‘ฆ๐‘ฆ ADJ american_scientific_journal-2922 35 66 ) ) PUNCT american_scientific_journal-2922 35 67 โˆˆ โˆˆ PROPN american_scientific_journal-2922 35 68 ๐‘‹๐‘‹ ๐‘‹๐‘‹ PROPN american_scientific_journal-2922 35 69 ร— ร— PROPN american_scientific_journal-2922 35 70 ๐‘Œ๐‘Œ ๐‘Œ๐‘Œ PROPN american_scientific_journal-2922 35 71 ๏ฟฝ ๏ฟฝ PROPN american_scientific_journal-2922 35 72 this this PRON american_scientific_journal-2922 35 73 is be AUX american_scientific_journal-2922 35 74 also also ADV american_scientific_journal-2922 35 75 called call VERB american_scientific_journal-2922 35 76 2nd 2nd ADJ american_scientific_journal-2922 35 77 projection projection NOUN american_scientific_journal-2922 35 78 or or CCONJ american_scientific_journal-2922 35 79 projection projection NOUN american_scientific_journal-2922 35 80 of of ADP american_scientific_journal-2922 35 81 ๐‘…๐‘…(๐‘ฅ๐‘ฅ,๐‘ฆ๐‘ฆ ๐‘…๐‘…(๐‘ฅ๐‘ฅ,๐‘ฆ๐‘ฆ NOUN american_scientific_journal-2922 35 82 ) ) PUNCT american_scientific_journal-2922 35 83 on on ADP american_scientific_journal-2922 35 84 ๐‘Œ๐‘Œ. ๐‘Œ๐‘Œ. NOUN american_scientific_journal-2922 35 85 and and CCONJ american_scientific_journal-2922 35 86 the the DET american_scientific_journal-2922 35 87 height height NOUN american_scientific_journal-2922 35 88 of of ADP american_scientific_journal-2922 35 89 ๐‘…๐‘…(๐‘ฅ๐‘ฅ,๐‘ฆ๐‘ฆ ๐‘…๐‘…(๐‘ฅ๐‘ฅ,๐‘ฆ๐‘ฆ NOUN american_scientific_journal-2922 35 90 ) ) PUNCT american_scientific_journal-2922 35 91 is be AUX american_scientific_journal-2922 35 92 defined define VERB american_scientific_journal-2922 35 93 as as SCONJ american_scientific_journal-2922 35 94 follows follow VERB american_scientific_journal-2922 35 95 : : PUNCT american_scientific_journal-2922 35 96 ๐ป๐ป(๐‘…๐‘… ๐ป๐ป(๐‘…๐‘… NUM american_scientific_journal-2922 35 97 ) ) PUNCT american_scientific_journal-2922 36 1 = = SYM american_scientific_journal-2922 36 2 max max PROPN american_scientific_journal-2922 36 3 ๐‘ฆ๐‘ฆ ๐‘ฆ๐‘ฆ PROPN american_scientific_journal-2922 36 4 ๏ฟฝ ๏ฟฝ PROPN american_scientific_journal-2922 36 5 max max PROPN american_scientific_journal-2922 36 6 ๐‘ฅ๐‘ฅ ๐‘ฅ๐‘ฅ ADP american_scientific_journal-2922 36 7 ๐‘…๐‘…(๐‘ฅ๐‘ฅ,๐‘ฆ๐‘ฆ ๐‘…๐‘…(๐‘ฅ๐‘ฅ,๐‘ฆ๐‘ฆ NOUN american_scientific_journal-2922 36 8 ) ) PUNCT american_scientific_journal-2922 36 9 ๏ฟฝ ๏ฟฝ PROPN american_scientific_journal-2922 36 10 |(๐‘ฅ๐‘ฅ,๐‘ฆ๐‘ฆ |(๐‘ฅ๐‘ฅ,๐‘ฆ๐‘ฆ NOUN american_scientific_journal-2922 36 11 ) ) PUNCT american_scientific_journal-2922 36 12 โˆˆ โˆˆ PROPN american_scientific_journal-2922 36 13 ๐‘‹๐‘‹ ๐‘‹๐‘‹ PROPN american_scientific_journal-2922 36 14 ร— ร— PROPN american_scientific_journal-2922 36 15 ๐‘Œ๐‘Œ ๐‘Œ๐‘Œ PROPN american_scientific_journal-2922 36 16 this this PRON american_scientific_journal-2922 36 17 is be AUX american_scientific_journal-2922 36 18 also also ADV american_scientific_journal-2922 36 19 called call VERB american_scientific_journal-2922 36 20 global global ADJ american_scientific_journal-2922 36 21 projection projection NOUN american_scientific_journal-2922 36 22 . . PUNCT american_scientific_journal-2922 37 1 note note NOUN american_scientific_journal-2922 37 2 : : PUNCT american_scientific_journal-2922 38 1 if if SCONJ american_scientific_journal-2922 38 2 the the DET american_scientific_journal-2922 38 3 height height NOUN american_scientific_journal-2922 38 4 of of ADP american_scientific_journal-2922 38 5 a a DET american_scientific_journal-2922 38 6 fuzzy fuzzy ADJ american_scientific_journal-2922 38 7 relation relation NOUN american_scientific_journal-2922 38 8 , , PUNCT american_scientific_journal-2922 38 9 ๐ป๐ป(๐‘…๐‘… ๐ป๐ป(๐‘…๐‘… PROPN american_scientific_journal-2922 38 10 ) ) PUNCT american_scientific_journal-2922 38 11 = = PUNCT american_scientific_journal-2922 39 1 1,then 1,then NUM american_scientific_journal-2922 39 2 the the DET american_scientific_journal-2922 39 3 fuzzy fuzzy ADJ american_scientific_journal-2922 39 4 relation relation NOUN american_scientific_journal-2922 39 5 is be AUX american_scientific_journal-2922 39 6 called call VERB american_scientific_journal-2922 39 7 normal normal ADJ american_scientific_journal-2922 39 8 fuzzy fuzzy ADJ american_scientific_journal-2922 39 9 relation relation NOUN american_scientific_journal-2922 39 10 and and CCONJ american_scientific_journal-2922 39 11 if if SCONJ american_scientific_journal-2922 39 12 , , PUNCT american_scientific_journal-2922 39 13 ๐ป๐ป(๐‘…๐‘… ๐ป๐ป(๐‘…๐‘… PROPN american_scientific_journal-2922 39 14 ) ) PUNCT american_scientific_journal-2922 39 15 < < X american_scientific_journal-2922 39 16 1 1 NUM american_scientific_journal-2922 39 17 , , PUNCT american_scientific_journal-2922 39 18 the the DET american_scientific_journal-2922 39 19 fuzzy fuzzy ADJ american_scientific_journal-2922 39 20 relation relation NOUN american_scientific_journal-2922 39 21 is be AUX american_scientific_journal-2922 39 22 called call VERB american_scientific_journal-2922 39 23 subnormal subnormal ADJ american_scientific_journal-2922 39 24 fuzzy fuzzy ADJ american_scientific_journal-2922 39 25 relation relation NOUN american_scientific_journal-2922 39 26 [ [ X american_scientific_journal-2922 39 27 2 2 NUM american_scientific_journal-2922 39 28 ] ] PUNCT american_scientific_journal-2922 39 29 . . PUNCT american_scientific_journal-2922 40 1 example example NOUN american_scientific_journal-2922 40 2 : : PUNCT american_scientific_journal-2922 40 3 let let VERB american_scientific_journal-2922 40 4 , , PUNCT american_scientific_journal-2922 40 5 ๐‘‹๐‘‹ ๐‘‹๐‘‹ PROPN american_scientific_journal-2922 40 6 = = PUNCT american_scientific_journal-2922 40 7 { { PUNCT american_scientific_journal-2922 40 8 1,2,3,4,5 1,2,3,4,5 NUM american_scientific_journal-2922 40 9 } } PUNCT american_scientific_journal-2922 40 10 and and CCONJ american_scientific_journal-2922 40 11 ๐‘Œ๐‘Œ ๐‘Œ๐‘Œ PROPN american_scientific_journal-2922 40 12 = = SYM american_scientific_journal-2922 40 13 { { PUNCT american_scientific_journal-2922 40 14 3,4,5,6,7,8 3,4,5,6,7,8 NUM american_scientific_journal-2922 40 15 } } PUNCT american_scientific_journal-2922 40 16 . . PUNCT american_scientific_journal-2922 41 1 a a DET american_scientific_journal-2922 41 2 fuzzy fuzzy ADJ american_scientific_journal-2922 41 3 relation relation NOUN american_scientific_journal-2922 41 4 is be AUX american_scientific_journal-2922 41 5 defined define VERB american_scientific_journal-2922 41 6 as as ADP american_scientific_journal-2922 41 7 follows follow VERB american_scientific_journal-2922 41 8 : : PUNCT american_scientific_journal-2922 41 9 ๐‘…๐‘…(๐‘ฅ๐‘ฅ,๐‘ฆ๐‘ฆ ๐‘…๐‘…(๐‘ฅ๐‘ฅ,๐‘ฆ๐‘ฆ NOUN american_scientific_journal-2922 41 10 ) ) PUNCT american_scientific_journal-2922 41 11 = = SYM american_scientific_journal-2922 41 12 ๏ฟฝ ๏ฟฝ PROPN american_scientific_journal-2922 41 13 1 1 NUM american_scientific_journal-2922 41 14 โˆ’ โˆ’ NOUN american_scientific_journal-2922 41 15 ๐‘ฅ๐‘ฅ2 ๐‘ฅ๐‘ฅ2 ADP american_scientific_journal-2922 41 16 2๐‘ฆ๐‘ฆ2 2๐‘ฆ๐‘ฆ2 NUM american_scientific_journal-2922 41 17 ; ; PUNCT american_scientific_journal-2922 41 18 0 0 NUM american_scientific_journal-2922 41 19 < < X american_scientific_journal-2922 41 20 ๐‘ฅ๐‘ฅ ๐‘ฅ๐‘ฅ ADP american_scientific_journal-2922 41 21 โ‰ค โ‰ค NUM american_scientific_journal-2922 41 22 ๐‘ฆ๐‘ฆ ๐‘ฆ๐‘ฆ ADP american_scientific_journal-2922 41 23 0 0 NUM american_scientific_journal-2922 41 24 ; ; PUNCT american_scientific_journal-2922 41 25 ๐‘ฅ๐‘ฅ ๐‘ฅ๐‘ฅ ADP american_scientific_journal-2922 41 26 > > X american_scientific_journal-2922 41 27 ๐‘ฆ๐‘ฆ ๐‘ฆ๐‘ฆ PROPN american_scientific_journal-2922 41 28 the the DET american_scientific_journal-2922 41 29 membership membership NOUN american_scientific_journal-2922 41 30 grade grade NOUN american_scientific_journal-2922 41 31 of of ADP american_scientific_journal-2922 41 32 the the DET american_scientific_journal-2922 41 33 relation relation NOUN american_scientific_journal-2922 41 34 is be AUX american_scientific_journal-2922 41 35 given give VERB american_scientific_journal-2922 41 36 in in ADP american_scientific_journal-2922 41 37 the the DET american_scientific_journal-2922 41 38 following follow VERB american_scientific_journal-2922 41 39 table table NOUN american_scientific_journal-2922 41 40 : : PUNCT american_scientific_journal-2922 41 41 table table NOUN american_scientific_journal-2922 41 42 4 4 NUM american_scientific_journal-2922 41 43 ๐‘น๐‘น(๐’™๐’™,๐’š๐’š ๐‘น๐‘น(๐’™๐’™,๐’š๐’š ADJ american_scientific_journal-2922 41 44 ) ) PUNCT american_scientific_journal-2922 41 45 3 3 NUM american_scientific_journal-2922 41 46 4 4 NUM american_scientific_journal-2922 41 47 5 5 NUM american_scientific_journal-2922 41 48 6 6 NUM american_scientific_journal-2922 41 49 7 7 NUM american_scientific_journal-2922 41 50 8 8 NUM american_scientific_journal-2922 41 51 1 1 NUM american_scientific_journal-2922 41 52 0.94 0.94 NUM american_scientific_journal-2922 41 53 0.97 0.97 NUM american_scientific_journal-2922 41 54 0.98 0.98 NUM american_scientific_journal-2922 41 55 0.986 0.986 NUM american_scientific_journal-2922 41 56 0.989 0.989 NUM american_scientific_journal-2922 41 57 0.99 0.99 NUM american_scientific_journal-2922 41 58 2 2 NUM american_scientific_journal-2922 41 59 0.78 0.78 NUM american_scientific_journal-2922 41 60 0.875 0.875 NUM american_scientific_journal-2922 41 61 0.92 0.92 NUM american_scientific_journal-2922 41 62 0.94 0.94 NUM american_scientific_journal-2922 41 63 0.96 0.96 NUM american_scientific_journal-2922 41 64 0.97 0.97 NUM american_scientific_journal-2922 41 65 3 3 NUM american_scientific_journal-2922 41 66 0.5 0.5 NUM american_scientific_journal-2922 41 67 0.72 0.72 NUM american_scientific_journal-2922 41 68 0.82 0.82 NUM american_scientific_journal-2922 41 69 0.875 0.875 NUM american_scientific_journal-2922 41 70 0.91 0.91 NUM american_scientific_journal-2922 41 71 0.93 0.93 NUM american_scientific_journal-2922 41 72 4 4 NUM american_scientific_journal-2922 41 73 0 0 NUM american_scientific_journal-2922 41 74 0.5 0.5 NUM american_scientific_journal-2922 41 75 0.68 0.68 NUM american_scientific_journal-2922 41 76 0.78 0.78 NUM american_scientific_journal-2922 41 77 0.84 0.84 NUM american_scientific_journal-2922 41 78 0.875 0.875 NUM american_scientific_journal-2922 41 79 5 5 NUM american_scientific_journal-2922 41 80 0 0 NUM american_scientific_journal-2922 41 81 0 0 NUM american_scientific_journal-2922 41 82 0.5 0.5 NUM american_scientific_journal-2922 41 83 0.65 0.65 NUM american_scientific_journal-2922 41 84 0.74 0.74 NUM american_scientific_journal-2922 41 85 0.80 0.80 NUM american_scientific_journal-2922 41 86 american american ADJ american_scientific_journal-2922 41 87 scientific scientific ADJ american_scientific_journal-2922 41 88 research research NOUN american_scientific_journal-2922 41 89 journal journal NOUN american_scientific_journal-2922 41 90 for for ADP american_scientific_journal-2922 41 91 engineering engineering NOUN american_scientific_journal-2922 41 92 , , PUNCT american_scientific_journal-2922 41 93 technology technology NOUN american_scientific_journal-2922 41 94 , , PUNCT american_scientific_journal-2922 41 95 and and CCONJ american_scientific_journal-2922 41 96 sciences science NOUN american_scientific_journal-2922 41 97 ( ( PUNCT american_scientific_journal-2922 41 98 asrjets asrjet NOUN american_scientific_journal-2922 41 99 ) ) PUNCT american_scientific_journal-2922 41 100 ( ( PUNCT american_scientific_journal-2922 41 101 2017 2017 NUM american_scientific_journal-2922 41 102 ) ) PUNCT american_scientific_journal-2922 41 103 volume volume NOUN american_scientific_journal-2922 41 104 31 31 NUM american_scientific_journal-2922 41 105 , , PUNCT american_scientific_journal-2922 41 106 no no DET american_scientific_journal-2922 41 107 1 1 NUM american_scientific_journal-2922 41 108 , , PUNCT american_scientific_journal-2922 41 109 pp pp ADV american_scientific_journal-2922 41 110 240 240 NUM american_scientific_journal-2922 41 111 - - SYM american_scientific_journal-2922 41 112 248 248 NUM american_scientific_journal-2922 41 113 244 244 NUM american_scientific_journal-2922 41 114 thus thus ADV american_scientific_journal-2922 41 115 we we PRON american_scientific_journal-2922 41 116 get get VERB american_scientific_journal-2922 41 117 , , PUNCT american_scientific_journal-2922 41 118 ๐ท๐ท๐‘ฆ๐‘ฆ๐‘š๐‘š(๐‘…๐‘… ๐ท๐ท๐‘ฆ๐‘ฆ๐‘š๐‘š(๐‘…๐‘… NOUN american_scientific_journal-2922 41 119 ) ) PUNCT american_scientific_journal-2922 41 120 = = PUNCT american_scientific_journal-2922 42 1 { { PUNCT american_scientific_journal-2922 42 2 0.99 0.99 NUM american_scientific_journal-2922 42 3 , , PUNCT american_scientific_journal-2922 42 4 0.97 0.97 NUM american_scientific_journal-2922 42 5 , , PUNCT american_scientific_journal-2922 42 6 0.93 0.93 NUM american_scientific_journal-2922 42 7 , , PUNCT american_scientific_journal-2922 42 8 0.875 0.875 NUM american_scientific_journal-2922 42 9 , , PUNCT american_scientific_journal-2922 42 10 0.80 0.80 NUM american_scientific_journal-2922 42 11 } } PUNCT american_scientific_journal-2922 42 12 ๐‘…๐‘…๐‘Ÿ๐‘Ÿ๐‘”๐‘”๐‘™๐‘™๐‘ฆ๐‘ฆ(๐‘…๐‘… ๐‘…๐‘…๐‘Ÿ๐‘Ÿ๐‘”๐‘”๐‘™๐‘™๐‘ฆ๐‘ฆ(๐‘…๐‘… PROPN american_scientific_journal-2922 42 13 ) ) PUNCT american_scientific_journal-2922 42 14 = = PUNCT american_scientific_journal-2922 42 15 { { PUNCT american_scientific_journal-2922 42 16 0.94 0.94 NUM american_scientific_journal-2922 42 17 , , PUNCT american_scientific_journal-2922 42 18 0.97 0.97 NUM american_scientific_journal-2922 42 19 , , PUNCT american_scientific_journal-2922 42 20 0.986 0.986 NUM american_scientific_journal-2922 42 21 , , PUNCT american_scientific_journal-2922 42 22 0.989 0.989 NUM american_scientific_journal-2922 42 23 , , PUNCT american_scientific_journal-2922 42 24 0.99 0.99 NUM american_scientific_journal-2922 42 25 } } PUNCT american_scientific_journal-2922 42 26 and and CCONJ american_scientific_journal-2922 42 27 , , PUNCT american_scientific_journal-2922 42 28 ๐ป๐ป(๐‘…๐‘… ๐ป๐ป(๐‘…๐‘… PROPN american_scientific_journal-2922 42 29 ) ) PUNCT american_scientific_journal-2922 43 1 = = NOUN american_scientific_journal-2922 43 2 0.99 0.99 NUM american_scientific_journal-2922 43 3 3 3 NUM american_scientific_journal-2922 43 4 . . PUNCT american_scientific_journal-2922 43 5 standard standard ADJ american_scientific_journal-2922 43 6 operations operation NOUN american_scientific_journal-2922 43 7 on on ADP american_scientific_journal-2922 43 8 relations relation NOUN american_scientific_journal-2922 43 9 we we PRON american_scientific_journal-2922 43 10 will will AUX american_scientific_journal-2922 43 11 discuss discuss VERB american_scientific_journal-2922 43 12 three three NUM american_scientific_journal-2922 43 13 standard standard ADJ american_scientific_journal-2922 43 14 operations operation NOUN american_scientific_journal-2922 43 15 on on ADP american_scientific_journal-2922 43 16 fuzzy fuzzy ADJ american_scientific_journal-2922 43 17 relations relation NOUN american_scientific_journal-2922 43 18 . . PUNCT american_scientific_journal-2922 44 1 these these PRON american_scientific_journal-2922 44 2 are be AUX american_scientific_journal-2922 44 3 max max PROPN american_scientific_journal-2922 44 4 - - PUNCT american_scientific_journal-2922 44 5 min min PROPN american_scientific_journal-2922 44 6 operation operation NOUN american_scientific_journal-2922 44 7 , , PUNCT american_scientific_journal-2922 44 8 max max PROPN american_scientific_journal-2922 44 9 - - PUNCT american_scientific_journal-2922 44 10 product product NOUN american_scientific_journal-2922 44 11 operation operation NOUN american_scientific_journal-2922 44 12 and and CCONJ american_scientific_journal-2922 44 13 max max PROPN american_scientific_journal-2922 44 14 - - PUNCT american_scientific_journal-2922 44 15 avg avg PROPN american_scientific_journal-2922 44 16 operation operation NOUN american_scientific_journal-2922 44 17 . . PUNCT american_scientific_journal-2922 45 1 3.1 3.1 NUM american_scientific_journal-2922 45 2 . . PUNCT american_scientific_journal-2922 45 3 max max PROPN american_scientific_journal-2922 45 4 - - PUNCT american_scientific_journal-2922 45 5 min min PROPN american_scientific_journal-2922 45 6 operation operation NOUN american_scientific_journal-2922 45 7 [ [ X american_scientific_journal-2922 45 8 2 2 NUM american_scientific_journal-2922 45 9 ] ] PUNCT american_scientific_journal-2922 45 10 definition definition NOUN american_scientific_journal-2922 45 11 : : PUNCT american_scientific_journal-2922 45 12 if if SCONJ american_scientific_journal-2922 45 13 ๐‘ƒ๐‘ƒ ๐‘ƒ๐‘ƒ ADJ american_scientific_journal-2922 45 14 and and CCONJ american_scientific_journal-2922 45 15 ๐‘„๐‘„ ๐‘„๐‘„ PROPN american_scientific_journal-2922 45 16 are be AUX american_scientific_journal-2922 45 17 two two NUM american_scientific_journal-2922 45 18 fuzzy fuzzy ADJ american_scientific_journal-2922 45 19 relations relation NOUN american_scientific_journal-2922 45 20 , , PUNCT american_scientific_journal-2922 45 21 then then ADV american_scientific_journal-2922 45 22 max max PROPN american_scientific_journal-2922 45 23 - - PUNCT american_scientific_journal-2922 45 24 min min PROPN american_scientific_journal-2922 45 25 operation operation NOUN american_scientific_journal-2922 45 26 of of ADP american_scientific_journal-2922 45 27 ๐‘ƒ๐‘ƒ ๐‘ƒ๐‘ƒ PROPN american_scientific_journal-2922 45 28 and and CCONJ american_scientific_journal-2922 45 29 ๐‘„๐‘„ ๐‘„๐‘„ PROPN american_scientific_journal-2922 45 30 is be AUX american_scientific_journal-2922 45 31 defined define VERB american_scientific_journal-2922 45 32 by by ADP american_scientific_journal-2922 45 33 , , PUNCT american_scientific_journal-2922 45 34 ๐‘ƒ๐‘ƒ๐‘ฆ๐‘ฆ๐‘„๐‘„ ๐‘ƒ๐‘ƒ๐‘ฆ๐‘ฆ๐‘„๐‘„ X american_scientific_journal-2922 45 35 = = PUNCT american_scientific_journal-2922 45 36 { { PUNCT american_scientific_journal-2922 45 37 ๐‘š๐‘š๐‘™๐‘™๐‘”๐‘”(๐‘ƒ๐‘ƒ(๐‘ฅ๐‘ฅ,๐‘ฆ๐‘ฆ),๐‘„๐‘„(๐‘ฆ๐‘ฆ ๐‘š๐‘š๐‘™๐‘™๐‘”๐‘”(๐‘ƒ๐‘ƒ(๐‘ฅ๐‘ฅ,๐‘ฆ๐‘ฆ),๐‘„๐‘„(๐‘ฆ๐‘ฆ X american_scientific_journal-2922 45 38 , , PUNCT american_scientific_journal-2922 45 39 ๐‘ง๐‘ง)};โˆ€(๐‘ฅ๐‘ฅ,๐‘ฆ๐‘ฆ ๐‘ง๐‘ง)};โˆ€(๐‘ฅ๐‘ฅ,๐‘ฆ๐‘ฆ PROPN american_scientific_journal-2922 45 40 ) ) PUNCT american_scientific_journal-2922 45 41 , , PUNCT american_scientific_journal-2922 45 42 ( ( PUNCT american_scientific_journal-2922 45 43 ๐‘ฆ๐‘ฆ ๐‘ฆ๐‘ฆ PROPN american_scientific_journal-2922 45 44 , , PUNCT american_scientific_journal-2922 45 45 ๐‘ง๐‘ง ๐‘ง๐‘ง NOUN american_scientific_journal-2922 45 46 ) ) PUNCT american_scientific_journal-2922 45 47 โˆˆ โˆˆ PROPN american_scientific_journal-2922 45 48 ๐‘‹๐‘‹ ๐‘‹๐‘‹ PROPN american_scientific_journal-2922 45 49 ร— ร— PROPN american_scientific_journal-2922 45 50 ๐‘Œ๐‘Œ๐‘ฆ๐‘ฆโˆˆ๐‘Œ๐‘Œ ๐‘Œ๐‘Œ๐‘ฆ๐‘ฆโˆˆ๐‘Œ๐‘Œ PROPN american_scientific_journal-2922 45 51 ๐‘š๐‘š๐‘š๐‘š๐‘ฅ๐‘ฅ ๐‘š๐‘š๐‘š๐‘š๐‘ฅ๐‘ฅ NOUN american_scientific_journal-2922 45 52 example example VERB american_scientific_journal-2922 45 53 : : PUNCT american_scientific_journal-2922 45 54 if if SCONJ american_scientific_journal-2922 45 55 ๐‘ƒ๐‘ƒ ๐‘ƒ๐‘ƒ PROPN american_scientific_journal-2922 45 56 = = SYM american_scientific_journal-2922 45 57 ๏ฟฝ ๏ฟฝ PROPN american_scientific_journal-2922 45 58 1 1 NUM american_scientific_journal-2922 45 59 0 0 NUM american_scientific_journal-2922 45 60 1 1 NUM american_scientific_journal-2922 45 61 1 1 NUM american_scientific_journal-2922 45 62 1 1 NUM american_scientific_journal-2922 45 63 1 1 NUM american_scientific_journal-2922 45 64 0 0 NUM american_scientific_journal-2922 45 65 1 1 NUM american_scientific_journal-2922 45 66 1 1 NUM american_scientific_journal-2922 45 67 ๏ฟฝ ๏ฟฝ PROPN american_scientific_journal-2922 45 68 and and CCONJ american_scientific_journal-2922 45 69 ๐‘„๐‘„ ๐‘„๐‘„ PROPN american_scientific_journal-2922 45 70 = = SYM american_scientific_journal-2922 45 71 ๏ฟฝ ๏ฟฝ PROPN american_scientific_journal-2922 45 72 1 1 NUM american_scientific_journal-2922 45 73 1 1 NUM american_scientific_journal-2922 45 74 0 0 NUM american_scientific_journal-2922 45 75 1 1 NUM american_scientific_journal-2922 45 76 0 0 NUM american_scientific_journal-2922 45 77 1 1 NUM american_scientific_journal-2922 45 78 0 0 NUM american_scientific_journal-2922 45 79 0 0 NUM american_scientific_journal-2922 45 80 1 1 NUM american_scientific_journal-2922 45 81 1 1 NUM american_scientific_journal-2922 45 82 0 0 NUM american_scientific_journal-2922 45 83 1 1 NUM american_scientific_journal-2922 45 84 ๏ฟฝ ๏ฟฝ NOUN american_scientific_journal-2922 45 85 be be AUX american_scientific_journal-2922 45 86 two two NUM american_scientific_journal-2922 45 87 classical classical ADJ american_scientific_journal-2922 45 88 relations relation NOUN american_scientific_journal-2922 45 89 , , PUNCT american_scientific_journal-2922 45 90 then then ADV american_scientific_journal-2922 45 91 max max PROPN american_scientific_journal-2922 45 92 - - PUNCT american_scientific_journal-2922 45 93 min min NOUN american_scientific_journal-2922 45 94 operations operation NOUN american_scientific_journal-2922 45 95 on on ADP american_scientific_journal-2922 45 96 ๐‘ƒ๐‘ƒ ๐‘ƒ๐‘ƒ ADV american_scientific_journal-2922 45 97 and and CCONJ american_scientific_journal-2922 45 98 ๐‘„๐‘„ ๐‘„๐‘„ PROPN american_scientific_journal-2922 45 99 is be AUX american_scientific_journal-2922 45 100 : : PUNCT american_scientific_journal-2922 45 101 ๐‘ƒ๐‘ƒ๐‘ฆ๐‘ฆ๐‘„๐‘„ ๐‘ƒ๐‘ƒ๐‘ฆ๐‘ฆ๐‘„๐‘„ PROPN american_scientific_journal-2922 45 102 = = SYM american_scientific_journal-2922 45 103 ๏ฟฝ ๏ฟฝ PROPN american_scientific_journal-2922 45 104 โˆจ โˆจ NUM american_scientific_journal-2922 45 105 ( ( PUNCT american_scientific_journal-2922 45 106 1 1 NUM american_scientific_journal-2922 45 107 โˆง โˆง PROPN american_scientific_journal-2922 45 108 1,0 1,0 NUM american_scientific_journal-2922 45 109 โˆง โˆง PROPN american_scientific_journal-2922 45 110 1,1 1,1 NUM american_scientific_journal-2922 45 111 โˆง โˆง NOUN american_scientific_journal-2922 45 112 0 0 NUM american_scientific_journal-2922 45 113 ) ) PUNCT american_scientific_journal-2922 45 114 โˆจ โˆจ NOUN american_scientific_journal-2922 45 115 ( ( PUNCT american_scientific_journal-2922 45 116 1 1 NUM american_scientific_journal-2922 45 117 โˆง โˆง PROPN american_scientific_journal-2922 45 118 1,0 1,0 NUM american_scientific_journal-2922 45 119 โˆง โˆง PROPN american_scientific_journal-2922 45 120 0,1 0,1 NUM american_scientific_journal-2922 45 121 โˆง โˆง PROPN american_scientific_journal-2922 45 122 0 0 NUM american_scientific_journal-2922 45 123 ) ) PUNCT american_scientific_journal-2922 45 124 โˆจ โˆจ NOUN american_scientific_journal-2922 45 125 ( ( PUNCT american_scientific_journal-2922 45 126 1 1 NUM american_scientific_journal-2922 45 127 โˆง โˆง PROPN american_scientific_journal-2922 45 128 0,0 0,0 NUM american_scientific_journal-2922 45 129 โˆง โˆง PROPN american_scientific_journal-2922 45 130 1,1 1,1 NUM american_scientific_journal-2922 45 131 โˆง โˆง PROPN american_scientific_journal-2922 45 132 1 1 NUM american_scientific_journal-2922 45 133 ) ) PUNCT american_scientific_journal-2922 45 134 โˆจ โˆจ NOUN american_scientific_journal-2922 45 135 ( ( PUNCT american_scientific_journal-2922 45 136 1 1 NUM american_scientific_journal-2922 45 137 โˆง โˆง PROPN american_scientific_journal-2922 45 138 1,1 1,1 NUM american_scientific_journal-2922 45 139 โˆง โˆง PROPN american_scientific_journal-2922 45 140 1,1 1,1 NUM american_scientific_journal-2922 45 141 โˆง โˆง NOUN american_scientific_journal-2922 45 142 0 0 NUM american_scientific_journal-2922 45 143 ) ) PUNCT american_scientific_journal-2922 45 144 โˆจ โˆจ NOUN american_scientific_journal-2922 45 145 ( ( PUNCT american_scientific_journal-2922 45 146 1 1 NUM american_scientific_journal-2922 45 147 โˆง โˆง PROPN american_scientific_journal-2922 45 148 1,1 1,1 NUM american_scientific_journal-2922 45 149 โˆง โˆง PROPN american_scientific_journal-2922 45 150 0,1 0,1 NUM american_scientific_journal-2922 45 151 โˆง โˆง PROPN american_scientific_journal-2922 45 152 0 0 NUM american_scientific_journal-2922 45 153 ) ) PUNCT american_scientific_journal-2922 45 154 โˆจ โˆจ NOUN american_scientific_journal-2922 45 155 ( ( PUNCT american_scientific_journal-2922 45 156 1 1 NUM american_scientific_journal-2922 45 157 โˆง โˆง PROPN american_scientific_journal-2922 45 158 0,1 0,1 NUM american_scientific_journal-2922 45 159 โˆง โˆง PROPN american_scientific_journal-2922 45 160 1,1 1,1 NUM american_scientific_journal-2922 45 161 โˆง โˆง PROPN american_scientific_journal-2922 45 162 1 1 NUM american_scientific_journal-2922 45 163 ) ) PUNCT american_scientific_journal-2922 45 164 โˆจ โˆจ NOUN american_scientific_journal-2922 45 165 ( ( PUNCT american_scientific_journal-2922 45 166 0 0 NUM american_scientific_journal-2922 45 167 โˆง โˆง PROPN american_scientific_journal-2922 45 168 1,1 1,1 NUM american_scientific_journal-2922 45 169 โˆง โˆง PROPN american_scientific_journal-2922 45 170 1,1 1,1 NUM american_scientific_journal-2922 45 171 โˆง โˆง NOUN american_scientific_journal-2922 45 172 0 0 NUM american_scientific_journal-2922 45 173 ) ) PUNCT american_scientific_journal-2922 45 174 โˆจ โˆจ NOUN american_scientific_journal-2922 45 175 ( ( PUNCT american_scientific_journal-2922 45 176 0 0 NUM american_scientific_journal-2922 45 177 โˆง โˆง PROPN american_scientific_journal-2922 45 178 1,1 1,1 NUM american_scientific_journal-2922 45 179 โˆง โˆง PROPN american_scientific_journal-2922 45 180 0,1 0,1 NUM american_scientific_journal-2922 45 181 โˆง โˆง PROPN american_scientific_journal-2922 45 182 0 0 NUM american_scientific_journal-2922 45 183 ) ) PUNCT american_scientific_journal-2922 45 184 โˆจ โˆจ NOUN american_scientific_journal-2922 45 185 ( ( PUNCT american_scientific_journal-2922 45 186 0 0 NUM american_scientific_journal-2922 45 187 โˆง โˆง PROPN american_scientific_journal-2922 45 188 0,1 0,1 NUM american_scientific_journal-2922 45 189 โˆง โˆง PROPN american_scientific_journal-2922 45 190 1,1 1,1 NUM american_scientific_journal-2922 45 191 โˆง โˆง PROPN american_scientific_journal-2922 45 192 1 1 NUM american_scientific_journal-2922 45 193 ) ) PUNCT american_scientific_journal-2922 45 194 โˆจ โˆจ NOUN american_scientific_journal-2922 45 195 ( ( PUNCT american_scientific_journal-2922 45 196 1 1 NUM american_scientific_journal-2922 45 197 โˆง โˆง PROPN american_scientific_journal-2922 45 198 1,0 1,0 NUM american_scientific_journal-2922 45 199 โˆง โˆง PROPN american_scientific_journal-2922 45 200 0,1 0,1 NUM american_scientific_journal-2922 45 201 โˆง โˆง PROPN american_scientific_journal-2922 45 202 1 1 NUM american_scientific_journal-2922 45 203 ) ) PUNCT american_scientific_journal-2922 45 204 โˆจ โˆจ NOUN american_scientific_journal-2922 45 205 ( ( PUNCT american_scientific_journal-2922 45 206 1 1 NUM american_scientific_journal-2922 45 207 โˆง โˆง PROPN american_scientific_journal-2922 45 208 1,1 1,1 NUM american_scientific_journal-2922 45 209 โˆง โˆง PROPN american_scientific_journal-2922 45 210 0,1 0,1 NUM american_scientific_journal-2922 45 211 โˆง โˆง PROPN american_scientific_journal-2922 45 212 1 1 NUM american_scientific_journal-2922 45 213 ) ) PUNCT american_scientific_journal-2922 45 214 โˆจ โˆจ NOUN american_scientific_journal-2922 45 215 ( ( PUNCT american_scientific_journal-2922 45 216 0 0 NUM american_scientific_journal-2922 45 217 โˆง โˆง PROPN american_scientific_journal-2922 45 218 1,1 1,1 NUM american_scientific_journal-2922 45 219 โˆง โˆง PROPN american_scientific_journal-2922 45 220 0,1 0,1 NUM american_scientific_journal-2922 45 221 โˆง โˆง PROPN american_scientific_journal-2922 45 222 1 1 NUM american_scientific_journal-2922 45 223 ) ) PUNCT american_scientific_journal-2922 45 224 ๏ฟฝ ๏ฟฝ PROPN american_scientific_journal-2922 45 225 = = SYM american_scientific_journal-2922 45 226 ๏ฟฝ ๏ฟฝ PROPN american_scientific_journal-2922 45 227 โˆจ โˆจ NUM american_scientific_journal-2922 45 228 ( ( PUNCT american_scientific_journal-2922 45 229 1,0,0 1,0,0 NUM american_scientific_journal-2922 45 230 ) ) PUNCT american_scientific_journal-2922 45 231 โˆจ โˆจ NUM american_scientific_journal-2922 45 232 ( ( PUNCT american_scientific_journal-2922 45 233 1,0,0 1,0,0 NUM american_scientific_journal-2922 45 234 ) ) PUNCT american_scientific_journal-2922 45 235 โˆจ โˆจ NOUN american_scientific_journal-2922 45 236 ( ( PUNCT american_scientific_journal-2922 45 237 0,0,1 0,0,1 NOUN american_scientific_journal-2922 45 238 ) ) PUNCT american_scientific_journal-2922 45 239 โˆจ โˆจ NOUN american_scientific_journal-2922 45 240 ( ( PUNCT american_scientific_journal-2922 45 241 1,1,0 1,1,0 NUM american_scientific_journal-2922 45 242 ) ) PUNCT american_scientific_journal-2922 45 243 โˆจ โˆจ NUM american_scientific_journal-2922 45 244 ( ( PUNCT american_scientific_journal-2922 45 245 1,0,0 1,0,0 NUM american_scientific_journal-2922 45 246 ) ) PUNCT american_scientific_journal-2922 45 247 โˆจ โˆจ NUM american_scientific_journal-2922 45 248 ( ( PUNCT american_scientific_journal-2922 45 249 0,1,1 0,1,1 NUM american_scientific_journal-2922 45 250 ) ) PUNCT american_scientific_journal-2922 45 251 โˆจ โˆจ NUM american_scientific_journal-2922 45 252 ( ( PUNCT american_scientific_journal-2922 45 253 0,1,0 0,1,0 NUM american_scientific_journal-2922 45 254 ) ) PUNCT american_scientific_journal-2922 45 255 โˆจ โˆจ NUM american_scientific_journal-2922 45 256 ( ( PUNCT american_scientific_journal-2922 45 257 0,0,0 0,0,0 NOUN american_scientific_journal-2922 45 258 ) ) PUNCT american_scientific_journal-2922 45 259 โˆจ โˆจ NUM american_scientific_journal-2922 45 260 ( ( PUNCT american_scientific_journal-2922 45 261 0,1,1 0,1,1 NUM american_scientific_journal-2922 45 262 ) ) PUNCT american_scientific_journal-2922 45 263 โˆจ โˆจ NOUN american_scientific_journal-2922 45 264 ( ( PUNCT american_scientific_journal-2922 45 265 1,0,1 1,0,1 NUM american_scientific_journal-2922 45 266 ) ) PUNCT american_scientific_journal-2922 45 267 โˆจ โˆจ NOUN american_scientific_journal-2922 45 268 ( ( PUNCT american_scientific_journal-2922 45 269 1,0,1 1,0,1 NUM american_scientific_journal-2922 45 270 ) ) PUNCT american_scientific_journal-2922 45 271 โˆจ โˆจ NOUN american_scientific_journal-2922 45 272 ( ( PUNCT american_scientific_journal-2922 45 273 0,0,1 0,0,1 NOUN american_scientific_journal-2922 45 274 ) ) PUNCT american_scientific_journal-2922 45 275 ๏ฟฝ ๏ฟฝ PROPN american_scientific_journal-2922 45 276 = = SYM american_scientific_journal-2922 45 277 ๏ฟฝ ๏ฟฝ PROPN american_scientific_journal-2922 45 278 1 1 NUM american_scientific_journal-2922 45 279 1 1 NUM american_scientific_journal-2922 45 280 1 1 NUM american_scientific_journal-2922 45 281 1 1 NUM american_scientific_journal-2922 45 282 1 1 NUM american_scientific_journal-2922 45 283 1 1 NUM american_scientific_journal-2922 45 284 1 1 NUM american_scientific_journal-2922 45 285 0 0 NUM american_scientific_journal-2922 45 286 1 1 NUM american_scientific_journal-2922 45 287 1 1 NUM american_scientific_journal-2922 45 288 1 1 NUM american_scientific_journal-2922 45 289 1 1 NUM american_scientific_journal-2922 45 290 ๏ฟฝ ๏ฟฝ PROPN american_scientific_journal-2922 45 291 example example NOUN american_scientific_journal-2922 45 292 : : PUNCT american_scientific_journal-2922 45 293 if if SCONJ american_scientific_journal-2922 45 294 ๐‘ƒ๐‘ƒ ๐‘ƒ๐‘ƒ PROPN american_scientific_journal-2922 45 295 = = SYM american_scientific_journal-2922 45 296 ๏ฟฝ ๏ฟฝ PROPN american_scientific_journal-2922 45 297 . . PUNCT american_scientific_journal-2922 46 1 2 2 NUM american_scientific_journal-2922 46 2 . . X american_scientific_journal-2922 46 3 4 4 NUM american_scientific_journal-2922 46 4 . . X american_scientific_journal-2922 47 1 7 7 NUM american_scientific_journal-2922 47 2 0 0 NUM american_scientific_journal-2922 47 3 . . PUNCT american_scientific_journal-2922 48 1 6 6 NUM american_scientific_journal-2922 48 2 1 1 NUM american_scientific_journal-2922 48 3 . . X american_scientific_journal-2922 49 1 5 5 NUM american_scientific_journal-2922 49 2 . . X american_scientific_journal-2922 50 1 7 7 NUM american_scientific_journal-2922 50 2 . . SYM american_scientific_journal-2922 50 3 5 5 NUM american_scientific_journal-2922 50 4 ๏ฟฝ ๏ฟฝ PROPN american_scientific_journal-2922 50 5 and and CCONJ american_scientific_journal-2922 50 6 ๐‘„๐‘„ ๐‘„๐‘„ PROPN american_scientific_journal-2922 50 7 = = SYM american_scientific_journal-2922 50 8 ๏ฟฝ ๏ฟฝ PROPN american_scientific_journal-2922 50 9 1 1 NUM american_scientific_journal-2922 50 10 . . NUM american_scientific_journal-2922 50 11 6 6 NUM american_scientific_journal-2922 50 12 . . NOUN american_scientific_journal-2922 50 13 8 8 NUM american_scientific_journal-2922 50 14 . . NUM american_scientific_journal-2922 50 15 3 3 NUM american_scientific_journal-2922 50 16 . . X american_scientific_journal-2922 50 17 2 2 NUM american_scientific_journal-2922 50 18 0 0 NUM american_scientific_journal-2922 50 19 0 0 NUM american_scientific_journal-2922 50 20 1 1 NUM american_scientific_journal-2922 50 21 . . X american_scientific_journal-2922 50 22 5 5 NUM american_scientific_journal-2922 50 23 . . X american_scientific_journal-2922 50 24 7 7 NUM american_scientific_journal-2922 50 25 . . X american_scientific_journal-2922 50 26 9 9 NUM american_scientific_journal-2922 50 27 . . X american_scientific_journal-2922 50 28 5 5 NUM american_scientific_journal-2922 50 29 ๏ฟฝ ๏ฟฝ NOUN american_scientific_journal-2922 50 30 be be AUX american_scientific_journal-2922 50 31 two two NUM american_scientific_journal-2922 50 32 fuzzy fuzzy ADJ american_scientific_journal-2922 50 33 relations relation NOUN american_scientific_journal-2922 50 34 , , PUNCT american_scientific_journal-2922 50 35 then then ADV american_scientific_journal-2922 50 36 max max PROPN american_scientific_journal-2922 50 37 - - PUNCT american_scientific_journal-2922 50 38 min min NOUN american_scientific_journal-2922 50 39 operations operation NOUN american_scientific_journal-2922 50 40 on on ADP american_scientific_journal-2922 50 41 ๐‘ƒ๐‘ƒ ๐‘ƒ๐‘ƒ ADV american_scientific_journal-2922 50 42 and and CCONJ american_scientific_journal-2922 50 43 ๐‘„๐‘„ ๐‘„๐‘„ PROPN american_scientific_journal-2922 50 44 is be AUX american_scientific_journal-2922 50 45 : : PUNCT american_scientific_journal-2922 50 46 ๐‘ƒ๐‘ƒ๐‘ฆ๐‘ฆ๐‘„๐‘„ ๐‘ƒ๐‘ƒ๐‘ฆ๐‘ฆ๐‘„๐‘„ PROPN american_scientific_journal-2922 50 47 = = SYM american_scientific_journal-2922 50 48 ๏ฟฝ ๏ฟฝ PROPN american_scientific_journal-2922 50 49 โˆจ โˆจ NUM american_scientific_journal-2922 50 50 ( ( PUNCT american_scientific_journal-2922 50 51 .2 .2 NUM american_scientific_journal-2922 50 52 โˆง โˆง PROPN american_scientific_journal-2922 50 53 1 1 NUM american_scientific_journal-2922 50 54 , , PUNCT american_scientific_journal-2922 50 55 .4 .4 NUM american_scientific_journal-2922 50 56 โˆง โˆง PROPN american_scientific_journal-2922 50 57 .3 .3 NUM american_scientific_journal-2922 50 58 , , PUNCT american_scientific_journal-2922 50 59 .7 .7 PROPN american_scientific_journal-2922 50 60 โˆง โˆง PROPN american_scientific_journal-2922 50 61 0 0 NUM american_scientific_journal-2922 50 62 ) ) PUNCT american_scientific_journal-2922 50 63 โˆจ โˆจ NOUN american_scientific_journal-2922 50 64 ( ( PUNCT american_scientific_journal-2922 50 65 .2 .2 NUM american_scientific_journal-2922 50 66 โˆง โˆง PROPN american_scientific_journal-2922 50 67 .6 .6 PROPN american_scientific_journal-2922 50 68 , , PUNCT american_scientific_journal-2922 50 69 .4 .4 NUM american_scientific_journal-2922 50 70 โˆง โˆง PROPN american_scientific_journal-2922 50 71 .2 .2 NUM american_scientific_journal-2922 50 72 , , PUNCT american_scientific_journal-2922 50 73 .7 .7 PROPN american_scientific_journal-2922 50 74 โˆง โˆง PROPN american_scientific_journal-2922 50 75 1 1 NUM american_scientific_journal-2922 50 76 ) ) PUNCT american_scientific_journal-2922 50 77 โˆจ โˆจ NOUN american_scientific_journal-2922 50 78 ( ( PUNCT american_scientific_journal-2922 50 79 .2 .2 NUM american_scientific_journal-2922 50 80 โˆง โˆง PROPN american_scientific_journal-2922 50 81 .8 .8 PROPN american_scientific_journal-2922 50 82 , , PUNCT american_scientific_journal-2922 50 83 .4 .4 NUM american_scientific_journal-2922 50 84 โˆง โˆง PROPN american_scientific_journal-2922 50 85 0 0 NUM american_scientific_journal-2922 50 86 , , PUNCT american_scientific_journal-2922 50 87 .7 .7 PROPN american_scientific_journal-2922 50 88 โˆง โˆง PROPN american_scientific_journal-2922 50 89 .5 .5 NUM american_scientific_journal-2922 50 90 ) ) PUNCT american_scientific_journal-2922 50 91 โˆจ โˆจ NUM american_scientific_journal-2922 50 92 ( ( PUNCT american_scientific_journal-2922 50 93 0 0 NUM american_scientific_journal-2922 50 94 โˆง โˆง PROPN american_scientific_journal-2922 50 95 1 1 NUM american_scientific_journal-2922 50 96 , , PUNCT american_scientific_journal-2922 50 97 .6 .6 NUM american_scientific_journal-2922 50 98 โˆง โˆง PROPN american_scientific_journal-2922 50 99 .3,1 .3,1 PUNCT american_scientific_journal-2922 51 1 โˆง โˆง NOUN american_scientific_journal-2922 51 2 0 0 NUM american_scientific_journal-2922 51 3 ) ) PUNCT american_scientific_journal-2922 51 4 โˆจ โˆจ NOUN american_scientific_journal-2922 51 5 ( ( PUNCT american_scientific_journal-2922 51 6 0 0 NUM american_scientific_journal-2922 51 7 โˆง โˆง PROPN american_scientific_journal-2922 51 8 .6 .6 PROPN american_scientific_journal-2922 51 9 , , PUNCT american_scientific_journal-2922 51 10 .6 .6 NUM american_scientific_journal-2922 51 11 โˆง โˆง PROPN american_scientific_journal-2922 51 12 .2,1 .2,1 PUNCT american_scientific_journal-2922 52 1 โˆง โˆง PROPN american_scientific_journal-2922 52 2 1 1 NUM american_scientific_journal-2922 52 3 ) ) PUNCT american_scientific_journal-2922 52 4 โˆจ โˆจ NOUN american_scientific_journal-2922 52 5 ( ( PUNCT american_scientific_journal-2922 52 6 0 0 NUM american_scientific_journal-2922 52 7 โˆง โˆง PROPN american_scientific_journal-2922 52 8 .8 .8 PROPN american_scientific_journal-2922 52 9 , , PUNCT american_scientific_journal-2922 52 10 .6 .6 NUM american_scientific_journal-2922 52 11 โˆง โˆง PROPN american_scientific_journal-2922 52 12 0,1 0,1 NUM american_scientific_journal-2922 52 13 โˆง โˆง PROPN american_scientific_journal-2922 52 14 .5 .5 NUM american_scientific_journal-2922 52 15 ) ) PUNCT american_scientific_journal-2922 52 16 โˆจ โˆจ NUM american_scientific_journal-2922 52 17 ( ( PUNCT american_scientific_journal-2922 52 18 .5 .5 NUM american_scientific_journal-2922 52 19 โˆง โˆง PROPN american_scientific_journal-2922 52 20 1 1 NUM american_scientific_journal-2922 52 21 , , PUNCT american_scientific_journal-2922 52 22 .7 .7 PROPN american_scientific_journal-2922 52 23 โˆง โˆง PROPN american_scientific_journal-2922 52 24 .3 .3 NUM american_scientific_journal-2922 52 25 , , PUNCT american_scientific_journal-2922 52 26 .5 .5 NUM american_scientific_journal-2922 52 27 โˆง โˆง NOUN american_scientific_journal-2922 52 28 0 0 NUM american_scientific_journal-2922 52 29 ) ) PUNCT american_scientific_journal-2922 52 30 โˆจ โˆจ NUM american_scientific_journal-2922 52 31 ( ( PUNCT american_scientific_journal-2922 52 32 .5 .5 NUM american_scientific_journal-2922 52 33 โˆง โˆง PROPN american_scientific_journal-2922 52 34 .6 .6 PROPN american_scientific_journal-2922 52 35 , , PUNCT american_scientific_journal-2922 52 36 .7 .7 PROPN american_scientific_journal-2922 52 37 โˆง โˆง PROPN american_scientific_journal-2922 52 38 .2 .2 NUM american_scientific_journal-2922 52 39 , , PUNCT american_scientific_journal-2922 52 40 .5 .5 NUM american_scientific_journal-2922 53 1 โˆง โˆง NOUN american_scientific_journal-2922 53 2 1 1 NUM american_scientific_journal-2922 53 3 ) ) PUNCT american_scientific_journal-2922 53 4 โˆจ โˆจ NUM american_scientific_journal-2922 53 5 ( ( PUNCT american_scientific_journal-2922 53 6 .5 .5 NUM american_scientific_journal-2922 53 7 โˆง โˆง PROPN american_scientific_journal-2922 53 8 .8 .8 PROPN american_scientific_journal-2922 53 9 , , PUNCT american_scientific_journal-2922 53 10 .7 .7 PROPN american_scientific_journal-2922 53 11 โˆง โˆง PROPN american_scientific_journal-2922 53 12 0 0 NUM american_scientific_journal-2922 53 13 , , PUNCT american_scientific_journal-2922 53 14 .5 .5 NUM american_scientific_journal-2922 53 15 โˆง โˆง PROPN american_scientific_journal-2922 53 16 .5 .5 NUM american_scientific_journal-2922 53 17 ) ) PUNCT american_scientific_journal-2922 53 18 โˆจ โˆจ NUM american_scientific_journal-2922 53 19 ( ( PUNCT american_scientific_journal-2922 53 20 .2 .2 NUM american_scientific_journal-2922 53 21 โˆง โˆง PROPN american_scientific_journal-2922 53 22 .7 .7 PROPN american_scientific_journal-2922 53 23 , , PUNCT american_scientific_journal-2922 53 24 .4 .4 NUM american_scientific_journal-2922 53 25 โˆง โˆง PROPN american_scientific_journal-2922 53 26 .9 .9 NUM american_scientific_journal-2922 53 27 , , PUNCT american_scientific_journal-2922 53 28 .7 .7 PROPN american_scientific_journal-2922 53 29 โˆง โˆง PROPN american_scientific_journal-2922 53 30 .5 .5 NUM american_scientific_journal-2922 53 31 ) ) PUNCT american_scientific_journal-2922 53 32 โˆจ โˆจ NUM american_scientific_journal-2922 53 33 ( ( PUNCT american_scientific_journal-2922 53 34 0 0 NUM american_scientific_journal-2922 53 35 โˆง โˆง PROPN american_scientific_journal-2922 53 36 .7 .7 PROPN american_scientific_journal-2922 53 37 , , PUNCT american_scientific_journal-2922 53 38 .6 .6 NUM american_scientific_journal-2922 54 1 โˆง โˆง PROPN american_scientific_journal-2922 54 2 .9,1 .9,1 PUNCT american_scientific_journal-2922 54 3 โˆง โˆง PROPN american_scientific_journal-2922 54 4 .5 .5 NUM american_scientific_journal-2922 54 5 ) ) PUNCT american_scientific_journal-2922 54 6 โˆจ โˆจ NUM american_scientific_journal-2922 54 7 ( ( PUNCT american_scientific_journal-2922 54 8 .5 .5 NUM american_scientific_journal-2922 54 9 โˆง โˆง PROPN american_scientific_journal-2922 54 10 .7 .7 PROPN american_scientific_journal-2922 54 11 , , PUNCT american_scientific_journal-2922 54 12 .7 .7 PROPN american_scientific_journal-2922 55 1 โˆง โˆง PROPN american_scientific_journal-2922 55 2 .9 .9 NUM american_scientific_journal-2922 55 3 , , PUNCT american_scientific_journal-2922 55 4 .5 .5 NUM american_scientific_journal-2922 56 1 โˆง โˆง PROPN american_scientific_journal-2922 56 2 .5 .5 NUM american_scientific_journal-2922 56 3 ) ) PUNCT american_scientific_journal-2922 56 4 ๏ฟฝ ๏ฟฝ PROPN american_scientific_journal-2922 56 5 american american ADJ american_scientific_journal-2922 56 6 scientific scientific ADJ american_scientific_journal-2922 56 7 research research PROPN american_scientific_journal-2922 56 8 journal journal NOUN american_scientific_journal-2922 56 9 for for ADP american_scientific_journal-2922 56 10 engineering engineering NOUN american_scientific_journal-2922 56 11 , , PUNCT american_scientific_journal-2922 56 12 technology technology NOUN american_scientific_journal-2922 56 13 , , PUNCT american_scientific_journal-2922 56 14 and and CCONJ american_scientific_journal-2922 56 15 sciences science NOUN american_scientific_journal-2922 56 16 ( ( PUNCT american_scientific_journal-2922 56 17 asrjets asrjet NOUN american_scientific_journal-2922 56 18 ) ) PUNCT american_scientific_journal-2922 56 19 ( ( PUNCT american_scientific_journal-2922 56 20 2017 2017 NUM american_scientific_journal-2922 56 21 ) ) PUNCT american_scientific_journal-2922 56 22 volume volume NOUN american_scientific_journal-2922 56 23 31 31 NUM american_scientific_journal-2922 56 24 , , PUNCT american_scientific_journal-2922 56 25 no no DET american_scientific_journal-2922 56 26 1 1 NUM american_scientific_journal-2922 56 27 , , PUNCT american_scientific_journal-2922 56 28 pp pp ADV american_scientific_journal-2922 56 29 240 240 NUM american_scientific_journal-2922 56 30 - - SYM american_scientific_journal-2922 56 31 248 248 NUM american_scientific_journal-2922 56 32 245 245 NUM american_scientific_journal-2922 56 33 = = SYM american_scientific_journal-2922 56 34 ๏ฟฝ ๏ฟฝ PROPN american_scientific_journal-2922 56 35 โˆจ โˆจ NUM american_scientific_journal-2922 56 36 ( ( PUNCT american_scientific_journal-2922 56 37 .2 .2 NUM american_scientific_journal-2922 56 38 , , PUNCT american_scientific_journal-2922 56 39 .3,0 .3,0 NUM american_scientific_journal-2922 56 40 ) ) PUNCT american_scientific_journal-2922 56 41 โˆจ โˆจ PROPN american_scientific_journal-2922 56 42 ( ( PUNCT american_scientific_journal-2922 56 43 .2 .2 NUM american_scientific_journal-2922 56 44 , , PUNCT american_scientific_journal-2922 56 45 .2 .2 NUM american_scientific_journal-2922 56 46 , , PUNCT american_scientific_journal-2922 56 47 .7 .7 PROPN american_scientific_journal-2922 56 48 ) ) PUNCT american_scientific_journal-2922 56 49 โˆจ โˆจ PROPN american_scientific_journal-2922 56 50 ( ( PUNCT american_scientific_journal-2922 56 51 .2,0 .2,0 PROPN american_scientific_journal-2922 56 52 , , PUNCT american_scientific_journal-2922 56 53 .5 .5 NUM american_scientific_journal-2922 56 54 ) ) PUNCT american_scientific_journal-2922 56 55 โˆจ โˆจ NUM american_scientific_journal-2922 56 56 ( ( PUNCT american_scientific_journal-2922 56 57 0 0 NUM american_scientific_journal-2922 56 58 , , PUNCT american_scientific_journal-2922 56 59 .3,0 .3,0 NUM american_scientific_journal-2922 56 60 ) ) PUNCT american_scientific_journal-2922 56 61 โˆจ โˆจ PROPN american_scientific_journal-2922 56 62 ( ( PUNCT american_scientific_journal-2922 56 63 0 0 NUM american_scientific_journal-2922 56 64 , , PUNCT american_scientific_journal-2922 56 65 .2,1 .2,1 NUM american_scientific_journal-2922 56 66 ) ) PUNCT american_scientific_journal-2922 56 67 โˆจ โˆจ NUM american_scientific_journal-2922 56 68 ( ( PUNCT american_scientific_journal-2922 56 69 0,0 0,0 NOUN american_scientific_journal-2922 56 70 , , PUNCT american_scientific_journal-2922 56 71 .5 .5 NUM american_scientific_journal-2922 56 72 ) ) PUNCT american_scientific_journal-2922 56 73 โˆจ โˆจ NUM american_scientific_journal-2922 56 74 ( ( PUNCT american_scientific_journal-2922 56 75 .5 .5 NUM american_scientific_journal-2922 56 76 , , PUNCT american_scientific_journal-2922 56 77 .3,0 .3,0 NUM american_scientific_journal-2922 56 78 ) ) PUNCT american_scientific_journal-2922 56 79 โˆจ โˆจ PROPN american_scientific_journal-2922 56 80 ( ( PUNCT american_scientific_journal-2922 56 81 .5 .5 NUM american_scientific_journal-2922 56 82 , , PUNCT american_scientific_journal-2922 56 83 .2 .2 NUM american_scientific_journal-2922 56 84 , , PUNCT american_scientific_journal-2922 56 85 .5 .5 NUM american_scientific_journal-2922 56 86 ) ) PUNCT american_scientific_journal-2922 56 87 โˆจ โˆจ NUM american_scientific_journal-2922 56 88 ( ( PUNCT american_scientific_journal-2922 56 89 .5,0 .5,0 PROPN american_scientific_journal-2922 56 90 , , PUNCT american_scientific_journal-2922 56 91 .5 .5 NUM american_scientific_journal-2922 56 92 ) ) PUNCT american_scientific_journal-2922 56 93 โˆจ โˆจ NUM american_scientific_journal-2922 56 94 ( ( PUNCT american_scientific_journal-2922 56 95 .2 .2 NUM american_scientific_journal-2922 56 96 , , PUNCT american_scientific_journal-2922 56 97 .4 .4 NUM american_scientific_journal-2922 56 98 , , PUNCT american_scientific_journal-2922 56 99 .5 .5 NUM american_scientific_journal-2922 56 100 ) ) PUNCT american_scientific_journal-2922 56 101 โˆจ โˆจ NUM american_scientific_journal-2922 56 102 ( ( PUNCT american_scientific_journal-2922 56 103 0 0 NUM american_scientific_journal-2922 56 104 , , PUNCT american_scientific_journal-2922 56 105 .6 .6 NUM american_scientific_journal-2922 56 106 , , PUNCT american_scientific_journal-2922 56 107 .5 .5 NUM american_scientific_journal-2922 56 108 ) ) PUNCT american_scientific_journal-2922 56 109 โˆจ โˆจ NUM american_scientific_journal-2922 56 110 ( ( PUNCT american_scientific_journal-2922 56 111 .5 .5 NUM american_scientific_journal-2922 56 112 , , PUNCT american_scientific_journal-2922 56 113 .7 .7 PROPN american_scientific_journal-2922 56 114 , , PUNCT american_scientific_journal-2922 56 115 .5 .5 NUM american_scientific_journal-2922 56 116 ) ) PUNCT american_scientific_journal-2922 56 117 ๏ฟฝ ๏ฟฝ PROPN american_scientific_journal-2922 56 118 = = SYM american_scientific_journal-2922 56 119 ๏ฟฝ ๏ฟฝ PROPN american_scientific_journal-2922 56 120 . . PUNCT american_scientific_journal-2922 57 1 3 3 NUM american_scientific_journal-2922 57 2 . . X american_scientific_journal-2922 57 3 7 7 NUM american_scientific_journal-2922 57 4 . . X american_scientific_journal-2922 58 1 5 5 NUM american_scientific_journal-2922 58 2 . . SYM american_scientific_journal-2922 58 3 3 3 NUM american_scientific_journal-2922 58 4 1 1 NUM american_scientific_journal-2922 58 5 . . PUNCT american_scientific_journal-2922 59 1 5 5 NUM american_scientific_journal-2922 59 2 . . X american_scientific_journal-2922 60 1 5 5 NUM american_scientific_journal-2922 60 2 . . X american_scientific_journal-2922 61 1 5 5 NUM american_scientific_journal-2922 61 2 . . X american_scientific_journal-2922 62 1 5 5 NUM american_scientific_journal-2922 62 2 . . X american_scientific_journal-2922 63 1 5 5 NUM american_scientific_journal-2922 63 2 . . NOUN american_scientific_journal-2922 63 3 6 6 NUM american_scientific_journal-2922 63 4 . . X american_scientific_journal-2922 63 5 7 7 NUM american_scientific_journal-2922 63 6 ๏ฟฝ ๏ฟฝ PROPN american_scientific_journal-2922 63 7 3.2 3.2 NUM american_scientific_journal-2922 63 8 . . PUNCT american_scientific_journal-2922 64 1 max max PROPN american_scientific_journal-2922 64 2 - - PUNCT american_scientific_journal-2922 64 3 product product NOUN american_scientific_journal-2922 64 4 operation operation NOUN american_scientific_journal-2922 64 5 [ [ X american_scientific_journal-2922 64 6 4 4 X american_scientific_journal-2922 64 7 ] ] PUNCT american_scientific_journal-2922 64 8 definition definition NOUN american_scientific_journal-2922 64 9 : : PUNCT american_scientific_journal-2922 64 10 if if SCONJ american_scientific_journal-2922 64 11 ๐‘ƒ๐‘ƒ ๐‘ƒ๐‘ƒ ADJ american_scientific_journal-2922 64 12 and and CCONJ american_scientific_journal-2922 64 13 ๐‘„๐‘„ ๐‘„๐‘„ PROPN american_scientific_journal-2922 64 14 are be AUX american_scientific_journal-2922 64 15 two two NUM american_scientific_journal-2922 64 16 fuzzy fuzzy ADJ american_scientific_journal-2922 64 17 relations relation NOUN american_scientific_journal-2922 64 18 , , PUNCT american_scientific_journal-2922 64 19 then then ADV american_scientific_journal-2922 64 20 max max PROPN american_scientific_journal-2922 64 21 - - PUNCT american_scientific_journal-2922 64 22 product product NOUN american_scientific_journal-2922 64 23 operation operation NOUN american_scientific_journal-2922 64 24 of of ADP american_scientific_journal-2922 64 25 ๐‘ƒ๐‘ƒ ๐‘ƒ๐‘ƒ PROPN american_scientific_journal-2922 64 26 and and CCONJ american_scientific_journal-2922 64 27 ๐‘„๐‘„ ๐‘„๐‘„ PROPN american_scientific_journal-2922 64 28 is be AUX american_scientific_journal-2922 64 29 defined define VERB american_scientific_journal-2922 64 30 by by ADP american_scientific_journal-2922 64 31 , , PUNCT american_scientific_journal-2922 64 32 ๐‘ƒ๐‘ƒ๐‘ฆ๐‘ฆ๐‘„๐‘„ ๐‘ƒ๐‘ƒ๐‘ฆ๐‘ฆ๐‘„๐‘„ X american_scientific_journal-2922 64 33 = = SYM american_scientific_journal-2922 64 34 { { PUNCT american_scientific_journal-2922 64 35 ( ( PUNCT american_scientific_journal-2922 64 36 ๐‘ƒ๐‘ƒ(๐‘ฅ๐‘ฅ,๐‘ฆ๐‘ฆ).๐‘„๐‘„(๐‘ฆ๐‘ฆ ๐‘ƒ๐‘ƒ(๐‘ฅ๐‘ฅ,๐‘ฆ๐‘ฆ).๐‘„๐‘„(๐‘ฆ๐‘ฆ PROPN american_scientific_journal-2922 64 37 , , PUNCT american_scientific_journal-2922 64 38 ๐‘ง๐‘ง)};โˆ€(๐‘ฅ๐‘ฅ,๐‘ฆ๐‘ฆ ๐‘ง๐‘ง)};โˆ€(๐‘ฅ๐‘ฅ,๐‘ฆ๐‘ฆ PROPN american_scientific_journal-2922 64 39 ) ) PUNCT american_scientific_journal-2922 64 40 , , PUNCT american_scientific_journal-2922 64 41 ( ( PUNCT american_scientific_journal-2922 64 42 ๐‘ฆ๐‘ฆ ๐‘ฆ๐‘ฆ PROPN american_scientific_journal-2922 64 43 , , PUNCT american_scientific_journal-2922 64 44 ๐‘ง๐‘ง ๐‘ง๐‘ง NOUN american_scientific_journal-2922 64 45 ) ) PUNCT american_scientific_journal-2922 64 46 โˆˆ โˆˆ PROPN american_scientific_journal-2922 64 47 ๐‘‹๐‘‹ ๐‘‹๐‘‹ PROPN american_scientific_journal-2922 64 48 ร— ร— PROPN american_scientific_journal-2922 64 49 ๐‘Œ๐‘Œ๐‘ฆ๐‘ฆโˆˆ๐‘Œ๐‘Œ ๐‘Œ๐‘Œ๐‘ฆ๐‘ฆโˆˆ๐‘Œ๐‘Œ PROPN american_scientific_journal-2922 64 50 ๐‘š๐‘š๐‘š๐‘š๐‘ฅ๐‘ฅ ๐‘š๐‘š๐‘š๐‘š๐‘ฅ๐‘ฅ NOUN american_scientific_journal-2922 64 51 example example VERB american_scientific_journal-2922 64 52 : : PUNCT american_scientific_journal-2922 64 53 if if SCONJ american_scientific_journal-2922 64 54 ๐‘ƒ๐‘ƒ ๐‘ƒ๐‘ƒ PROPN american_scientific_journal-2922 64 55 = = SYM american_scientific_journal-2922 64 56 ๏ฟฝ ๏ฟฝ PROPN american_scientific_journal-2922 64 57 1 1 NUM american_scientific_journal-2922 64 58 0 0 NUM american_scientific_journal-2922 64 59 1 1 NUM american_scientific_journal-2922 64 60 1 1 NUM american_scientific_journal-2922 64 61 1 1 NUM american_scientific_journal-2922 64 62 1 1 NUM american_scientific_journal-2922 64 63 0 0 NUM american_scientific_journal-2922 64 64 1 1 NUM american_scientific_journal-2922 64 65 1 1 NUM american_scientific_journal-2922 64 66 ๏ฟฝ ๏ฟฝ PROPN american_scientific_journal-2922 64 67 and and CCONJ american_scientific_journal-2922 64 68 ๐‘„๐‘„ ๐‘„๐‘„ PROPN american_scientific_journal-2922 64 69 = = SYM american_scientific_journal-2922 64 70 ๏ฟฝ ๏ฟฝ PROPN american_scientific_journal-2922 64 71 1 1 NUM american_scientific_journal-2922 64 72 1 1 NUM american_scientific_journal-2922 64 73 0 0 NUM american_scientific_journal-2922 64 74 1 1 NUM american_scientific_journal-2922 64 75 0 0 NUM american_scientific_journal-2922 64 76 1 1 NUM american_scientific_journal-2922 64 77 0 0 NUM american_scientific_journal-2922 64 78 0 0 NUM american_scientific_journal-2922 64 79 1 1 NUM american_scientific_journal-2922 64 80 1 1 NUM american_scientific_journal-2922 64 81 0 0 NUM american_scientific_journal-2922 64 82 1 1 NUM american_scientific_journal-2922 64 83 ๏ฟฝ ๏ฟฝ NOUN american_scientific_journal-2922 64 84 be be AUX american_scientific_journal-2922 64 85 two two NUM american_scientific_journal-2922 64 86 classical classical ADJ american_scientific_journal-2922 64 87 relations relation NOUN american_scientific_journal-2922 64 88 , , PUNCT american_scientific_journal-2922 64 89 then then ADV american_scientific_journal-2922 64 90 max max PROPN american_scientific_journal-2922 64 91 - - PUNCT american_scientific_journal-2922 64 92 product product NOUN american_scientific_journal-2922 64 93 operations operation NOUN american_scientific_journal-2922 64 94 on on ADP american_scientific_journal-2922 64 95 ๐‘ƒ๐‘ƒ ๐‘ƒ๐‘ƒ ADV american_scientific_journal-2922 64 96 and and CCONJ american_scientific_journal-2922 64 97 ๐‘„๐‘„ ๐‘„๐‘„ PROPN american_scientific_journal-2922 64 98 is be AUX american_scientific_journal-2922 64 99 : : PUNCT american_scientific_journal-2922 64 100 ๐‘ƒ๐‘ƒ๐‘ฆ๐‘ฆ๐‘„๐‘„ ๐‘ƒ๐‘ƒ๐‘ฆ๐‘ฆ๐‘„๐‘„ PROPN american_scientific_journal-2922 64 101 = = SYM american_scientific_journal-2922 64 102 ๏ฟฝ ๏ฟฝ PROPN american_scientific_journal-2922 64 103 โˆจ โˆจ NUM american_scientific_journal-2922 64 104 ( ( PUNCT american_scientific_journal-2922 64 105 1.1 1.1 NUM american_scientific_journal-2922 64 106 , , PUNCT american_scientific_journal-2922 64 107 0.1 0.1 NUM american_scientific_journal-2922 64 108 , , PUNCT american_scientific_journal-2922 64 109 1.0 1.0 NUM american_scientific_journal-2922 64 110 ) ) PUNCT american_scientific_journal-2922 64 111 โˆจ โˆจ NUM american_scientific_journal-2922 64 112 ( ( PUNCT american_scientific_journal-2922 64 113 1.1 1.1 NUM american_scientific_journal-2922 64 114 , , PUNCT american_scientific_journal-2922 64 115 0.0 0.0 NUM american_scientific_journal-2922 64 116 , , PUNCT american_scientific_journal-2922 64 117 1.0 1.0 NUM american_scientific_journal-2922 64 118 ) ) PUNCT american_scientific_journal-2922 64 119 โˆจ โˆจ NUM american_scientific_journal-2922 64 120 ( ( PUNCT american_scientific_journal-2922 64 121 1.0 1.0 NUM american_scientific_journal-2922 64 122 , , PUNCT american_scientific_journal-2922 64 123 0.1 0.1 NUM american_scientific_journal-2922 64 124 , , PUNCT american_scientific_journal-2922 64 125 1.1 1.1 NUM american_scientific_journal-2922 64 126 ) ) PUNCT american_scientific_journal-2922 64 127 โˆจ โˆจ NOUN american_scientific_journal-2922 64 128 ( ( PUNCT american_scientific_journal-2922 64 129 1.1 1.1 NUM american_scientific_journal-2922 64 130 , , PUNCT american_scientific_journal-2922 64 131 1.1 1.1 NUM american_scientific_journal-2922 64 132 , , PUNCT american_scientific_journal-2922 64 133 1.0 1.0 NUM american_scientific_journal-2922 64 134 ) ) PUNCT american_scientific_journal-2922 64 135 โˆจ โˆจ NUM american_scientific_journal-2922 64 136 ( ( PUNCT american_scientific_journal-2922 64 137 1.1 1.1 NUM american_scientific_journal-2922 64 138 , , PUNCT american_scientific_journal-2922 64 139 1.0 1.0 NUM american_scientific_journal-2922 64 140 , , PUNCT american_scientific_journal-2922 64 141 1.0 1.0 NUM american_scientific_journal-2922 64 142 ) ) PUNCT american_scientific_journal-2922 64 143 โˆจ โˆจ NUM american_scientific_journal-2922 64 144 ( ( PUNCT american_scientific_journal-2922 64 145 1.0 1.0 NUM american_scientific_journal-2922 64 146 , , PUNCT american_scientific_journal-2922 64 147 1.1 1.1 NUM american_scientific_journal-2922 64 148 , , PUNCT american_scientific_journal-2922 64 149 1.1 1.1 NUM american_scientific_journal-2922 64 150 ) ) PUNCT american_scientific_journal-2922 64 151 โˆจ โˆจ NUM american_scientific_journal-2922 64 152 ( ( PUNCT american_scientific_journal-2922 64 153 0.1 0.1 NUM american_scientific_journal-2922 64 154 , , PUNCT american_scientific_journal-2922 64 155 1.1 1.1 NUM american_scientific_journal-2922 64 156 , , PUNCT american_scientific_journal-2922 64 157 1.0 1.0 NUM american_scientific_journal-2922 64 158 ) ) PUNCT american_scientific_journal-2922 64 159 โˆจ โˆจ NUM american_scientific_journal-2922 64 160 ( ( PUNCT american_scientific_journal-2922 64 161 0.1 0.1 NUM american_scientific_journal-2922 64 162 , , PUNCT american_scientific_journal-2922 64 163 1.0 1.0 NUM american_scientific_journal-2922 64 164 , , PUNCT american_scientific_journal-2922 64 165 1.0 1.0 NUM american_scientific_journal-2922 64 166 ) ) PUNCT american_scientific_journal-2922 64 167 โˆจ โˆจ NUM american_scientific_journal-2922 64 168 ( ( PUNCT american_scientific_journal-2922 64 169 0.0 0.0 NUM american_scientific_journal-2922 64 170 , , PUNCT american_scientific_journal-2922 64 171 1.1 1.1 NUM american_scientific_journal-2922 64 172 , , PUNCT american_scientific_journal-2922 64 173 1.1 1.1 NUM american_scientific_journal-2922 64 174 ) ) PUNCT american_scientific_journal-2922 64 175 โˆจ โˆจ NOUN american_scientific_journal-2922 64 176 ( ( PUNCT american_scientific_journal-2922 64 177 1.1 1.1 NUM american_scientific_journal-2922 64 178 , , PUNCT american_scientific_journal-2922 64 179 0.0 0.0 NUM american_scientific_journal-2922 64 180 , , PUNCT american_scientific_journal-2922 64 181 1.1 1.1 NUM american_scientific_journal-2922 64 182 ) ) PUNCT american_scientific_journal-2922 64 183 โˆจ โˆจ NOUN american_scientific_journal-2922 64 184 ( ( PUNCT american_scientific_journal-2922 64 185 1.1 1.1 NUM american_scientific_journal-2922 64 186 , , PUNCT american_scientific_journal-2922 64 187 1.0 1.0 NUM american_scientific_journal-2922 64 188 , , PUNCT american_scientific_journal-2922 64 189 1.1 1.1 NUM american_scientific_journal-2922 64 190 ) ) PUNCT american_scientific_journal-2922 64 191 โˆจ โˆจ NUM american_scientific_journal-2922 64 192 ( ( PUNCT american_scientific_journal-2922 64 193 0.1 0.1 NUM american_scientific_journal-2922 64 194 , , PUNCT american_scientific_journal-2922 64 195 1.0 1.0 NUM american_scientific_journal-2922 64 196 , , PUNCT american_scientific_journal-2922 64 197 1.1 1.1 NUM american_scientific_journal-2922 64 198 ) ) PUNCT american_scientific_journal-2922 64 199 ๏ฟฝ ๏ฟฝ PROPN american_scientific_journal-2922 64 200 = = SYM american_scientific_journal-2922 64 201 ๏ฟฝ ๏ฟฝ PROPN american_scientific_journal-2922 64 202 โˆจ โˆจ NUM american_scientific_journal-2922 64 203 ( ( PUNCT american_scientific_journal-2922 64 204 1,0,0 1,0,0 NUM american_scientific_journal-2922 64 205 ) ) PUNCT american_scientific_journal-2922 64 206 โˆจ โˆจ NUM american_scientific_journal-2922 64 207 ( ( PUNCT american_scientific_journal-2922 64 208 1,0,0 1,0,0 NUM american_scientific_journal-2922 64 209 ) ) PUNCT american_scientific_journal-2922 64 210 โˆจ โˆจ NOUN american_scientific_journal-2922 64 211 ( ( PUNCT american_scientific_journal-2922 64 212 0,0,1 0,0,1 NOUN american_scientific_journal-2922 64 213 ) ) PUNCT american_scientific_journal-2922 64 214 โˆจ โˆจ NOUN american_scientific_journal-2922 64 215 ( ( PUNCT american_scientific_journal-2922 64 216 1,1,0 1,1,0 NUM american_scientific_journal-2922 64 217 ) ) PUNCT american_scientific_journal-2922 64 218 โˆจ โˆจ NUM american_scientific_journal-2922 64 219 ( ( PUNCT american_scientific_journal-2922 64 220 1,0,0 1,0,0 NUM american_scientific_journal-2922 64 221 ) ) PUNCT american_scientific_journal-2922 64 222 โˆจ โˆจ NUM american_scientific_journal-2922 64 223 ( ( PUNCT american_scientific_journal-2922 64 224 0,1,1 0,1,1 NUM american_scientific_journal-2922 64 225 ) ) PUNCT american_scientific_journal-2922 64 226 โˆจ โˆจ NUM american_scientific_journal-2922 64 227 ( ( PUNCT american_scientific_journal-2922 64 228 0,1,0 0,1,0 NUM american_scientific_journal-2922 64 229 ) ) PUNCT american_scientific_journal-2922 64 230 โˆจ โˆจ NUM american_scientific_journal-2922 64 231 ( ( PUNCT american_scientific_journal-2922 64 232 0,0,0 0,0,0 NOUN american_scientific_journal-2922 64 233 ) ) PUNCT american_scientific_journal-2922 64 234 โˆจ โˆจ NUM american_scientific_journal-2922 64 235 ( ( PUNCT american_scientific_journal-2922 64 236 0,1,1 0,1,1 NUM american_scientific_journal-2922 64 237 ) ) PUNCT american_scientific_journal-2922 64 238 โˆจ โˆจ NOUN american_scientific_journal-2922 64 239 ( ( PUNCT american_scientific_journal-2922 64 240 1,0,1 1,0,1 NUM american_scientific_journal-2922 64 241 ) ) PUNCT american_scientific_journal-2922 64 242 โˆจ โˆจ NOUN american_scientific_journal-2922 64 243 ( ( PUNCT american_scientific_journal-2922 64 244 1,0,1 1,0,1 NUM american_scientific_journal-2922 64 245 ) ) PUNCT american_scientific_journal-2922 64 246 โˆจ โˆจ NOUN american_scientific_journal-2922 64 247 ( ( PUNCT american_scientific_journal-2922 64 248 0,0,1 0,0,1 NOUN american_scientific_journal-2922 64 249 ) ) PUNCT american_scientific_journal-2922 64 250 ๏ฟฝ ๏ฟฝ PROPN american_scientific_journal-2922 64 251 = = SYM american_scientific_journal-2922 64 252 ๏ฟฝ ๏ฟฝ PROPN american_scientific_journal-2922 64 253 1 1 NUM american_scientific_journal-2922 64 254 1 1 NUM american_scientific_journal-2922 64 255 1 1 NUM american_scientific_journal-2922 64 256 1 1 NUM american_scientific_journal-2922 64 257 1 1 NUM american_scientific_journal-2922 64 258 1 1 NUM american_scientific_journal-2922 64 259 1 1 NUM american_scientific_journal-2922 64 260 0 0 NUM american_scientific_journal-2922 64 261 1 1 NUM american_scientific_journal-2922 64 262 1 1 NUM american_scientific_journal-2922 64 263 1 1 NUM american_scientific_journal-2922 64 264 1 1 NUM american_scientific_journal-2922 64 265 ๏ฟฝ ๏ฟฝ PROPN american_scientific_journal-2922 64 266 example example NOUN american_scientific_journal-2922 64 267 : : PUNCT american_scientific_journal-2922 64 268 if if SCONJ american_scientific_journal-2922 64 269 ๐‘ƒ๐‘ƒ ๐‘ƒ๐‘ƒ PROPN american_scientific_journal-2922 64 270 = = SYM american_scientific_journal-2922 64 271 ๏ฟฝ ๏ฟฝ PROPN american_scientific_journal-2922 64 272 . . PUNCT american_scientific_journal-2922 65 1 2 2 NUM american_scientific_journal-2922 65 2 . . X american_scientific_journal-2922 65 3 4 4 NUM american_scientific_journal-2922 65 4 . . X american_scientific_journal-2922 66 1 7 7 NUM american_scientific_journal-2922 66 2 0 0 NUM american_scientific_journal-2922 66 3 . . PUNCT american_scientific_journal-2922 67 1 6 6 NUM american_scientific_journal-2922 67 2 1 1 NUM american_scientific_journal-2922 67 3 . . X american_scientific_journal-2922 68 1 5 5 NUM american_scientific_journal-2922 68 2 . . X american_scientific_journal-2922 69 1 7 7 NUM american_scientific_journal-2922 69 2 . . SYM american_scientific_journal-2922 69 3 5 5 NUM american_scientific_journal-2922 69 4 ๏ฟฝ ๏ฟฝ PROPN american_scientific_journal-2922 69 5 and and CCONJ american_scientific_journal-2922 69 6 ๐‘„๐‘„ ๐‘„๐‘„ PROPN american_scientific_journal-2922 69 7 = = SYM american_scientific_journal-2922 69 8 ๏ฟฝ ๏ฟฝ PROPN american_scientific_journal-2922 69 9 1 1 NUM american_scientific_journal-2922 69 10 . . NUM american_scientific_journal-2922 69 11 6 6 NUM american_scientific_journal-2922 69 12 . . NOUN american_scientific_journal-2922 69 13 8 8 NUM american_scientific_journal-2922 69 14 . . NUM american_scientific_journal-2922 69 15 3 3 NUM american_scientific_journal-2922 69 16 . . X american_scientific_journal-2922 69 17 2 2 NUM american_scientific_journal-2922 69 18 0 0 NUM american_scientific_journal-2922 69 19 0 0 NUM american_scientific_journal-2922 69 20 1 1 NUM american_scientific_journal-2922 69 21 . . X american_scientific_journal-2922 69 22 5 5 NUM american_scientific_journal-2922 69 23 . . X american_scientific_journal-2922 69 24 7 7 NUM american_scientific_journal-2922 69 25 . . X american_scientific_journal-2922 69 26 9 9 NUM american_scientific_journal-2922 69 27 . . X american_scientific_journal-2922 69 28 5 5 NUM american_scientific_journal-2922 69 29 ๏ฟฝ ๏ฟฝ NOUN american_scientific_journal-2922 69 30 be be AUX american_scientific_journal-2922 69 31 two two NUM american_scientific_journal-2922 69 32 fuzzy fuzzy ADJ american_scientific_journal-2922 69 33 relations relation NOUN american_scientific_journal-2922 69 34 , , PUNCT american_scientific_journal-2922 69 35 then then ADV american_scientific_journal-2922 69 36 max max PROPN american_scientific_journal-2922 69 37 - - PUNCT american_scientific_journal-2922 69 38 product product NOUN american_scientific_journal-2922 69 39 operations operation NOUN american_scientific_journal-2922 69 40 on on ADP american_scientific_journal-2922 69 41 ๐‘ƒ๐‘ƒ ๐‘ƒ๐‘ƒ ADV american_scientific_journal-2922 69 42 and and CCONJ american_scientific_journal-2922 69 43 ๐‘„๐‘„ ๐‘„๐‘„ PROPN american_scientific_journal-2922 69 44 is be AUX american_scientific_journal-2922 69 45 : : PUNCT american_scientific_journal-2922 69 46 ๐‘ƒ๐‘ƒ๐‘ฆ๐‘ฆ๐‘„๐‘„ ๐‘ƒ๐‘ƒ๐‘ฆ๐‘ฆ๐‘„๐‘„ PROPN american_scientific_journal-2922 69 47 = = SYM american_scientific_journal-2922 69 48 ๏ฟฝ ๏ฟฝ PROPN american_scientific_journal-2922 69 49 โˆจ โˆจ NUM american_scientific_journal-2922 69 50 ( ( PUNCT american_scientific_journal-2922 69 51 .2 .2 NUM american_scientific_journal-2922 69 52 , , PUNCT american_scientific_journal-2922 69 53 .12,0 .12,0 PUNCT american_scientific_journal-2922 69 54 ) ) PUNCT american_scientific_journal-2922 69 55 โˆจ โˆจ PROPN american_scientific_journal-2922 69 56 ( ( PUNCT american_scientific_journal-2922 69 57 .12 .12 NUM american_scientific_journal-2922 69 58 , , PUNCT american_scientific_journal-2922 69 59 .08 .08 NUM american_scientific_journal-2922 69 60 , , PUNCT american_scientific_journal-2922 69 61 .7 .7 NUM american_scientific_journal-2922 69 62 ) ) PUNCT american_scientific_journal-2922 69 63 โˆจ โˆจ PROPN american_scientific_journal-2922 69 64 ( ( PUNCT american_scientific_journal-2922 69 65 .16,0 .16,0 NUM american_scientific_journal-2922 69 66 , , PUNCT american_scientific_journal-2922 69 67 .35 .35 NUM american_scientific_journal-2922 69 68 ) ) PUNCT american_scientific_journal-2922 69 69 โˆจ โˆจ NUM american_scientific_journal-2922 69 70 ( ( PUNCT american_scientific_journal-2922 69 71 0 0 NUM american_scientific_journal-2922 69 72 , , PUNCT american_scientific_journal-2922 69 73 .18,0 .18,0 PRON american_scientific_journal-2922 69 74 ) ) PUNCT american_scientific_journal-2922 69 75 โˆจ โˆจ X american_scientific_journal-2922 69 76 ( ( PUNCT american_scientific_journal-2922 69 77 0 0 NUM american_scientific_journal-2922 69 78 , , PUNCT american_scientific_journal-2922 69 79 .12,1 .12,1 PRON american_scientific_journal-2922 69 80 ) ) PUNCT american_scientific_journal-2922 69 81 โˆจ โˆจ PROPN american_scientific_journal-2922 69 82 ( ( PUNCT american_scientific_journal-2922 69 83 0,0 0,0 NOUN american_scientific_journal-2922 69 84 , , PUNCT american_scientific_journal-2922 69 85 .5 .5 NUM american_scientific_journal-2922 69 86 ) ) PUNCT american_scientific_journal-2922 69 87 โˆจ โˆจ NUM american_scientific_journal-2922 69 88 ( ( PUNCT american_scientific_journal-2922 69 89 .5 .5 NUM american_scientific_journal-2922 69 90 , , PUNCT american_scientific_journal-2922 69 91 .21,0 .21,0 NUM american_scientific_journal-2922 69 92 ) ) PUNCT american_scientific_journal-2922 69 93 โˆจ โˆจ NUM american_scientific_journal-2922 69 94 ( ( PUNCT american_scientific_journal-2922 69 95 .3 .3 NUM american_scientific_journal-2922 69 96 , , PUNCT american_scientific_journal-2922 69 97 .14 .14 NUM american_scientific_journal-2922 69 98 , , PUNCT american_scientific_journal-2922 69 99 .5 .5 NUM american_scientific_journal-2922 69 100 ) ) PUNCT american_scientific_journal-2922 69 101 โˆจ โˆจ NUM american_scientific_journal-2922 69 102 ( ( PUNCT american_scientific_journal-2922 69 103 .4,0 .4,0 PROPN american_scientific_journal-2922 69 104 , , PUNCT american_scientific_journal-2922 69 105 .25 .25 NUM american_scientific_journal-2922 69 106 ) ) PUNCT american_scientific_journal-2922 69 107 โˆจ โˆจ NUM american_scientific_journal-2922 69 108 ( ( PUNCT american_scientific_journal-2922 69 109 .14 .14 NUM american_scientific_journal-2922 69 110 , , PUNCT american_scientific_journal-2922 69 111 . . PUNCT american_scientific_journal-2922 70 1 .36 .36 NUM american_scientific_journal-2922 70 2 , , PUNCT american_scientific_journal-2922 70 3 .35 .35 NUM american_scientific_journal-2922 70 4 ) ) PUNCT american_scientific_journal-2922 70 5 โˆจ โˆจ NUM american_scientific_journal-2922 70 6 ( ( PUNCT american_scientific_journal-2922 70 7 0 0 NUM american_scientific_journal-2922 70 8 , , PUNCT american_scientific_journal-2922 70 9 .54 .54 NUM american_scientific_journal-2922 70 10 , , PUNCT american_scientific_journal-2922 70 11 .5 .5 NUM american_scientific_journal-2922 70 12 ) ) PUNCT american_scientific_journal-2922 70 13 โˆจ โˆจ NUM american_scientific_journal-2922 70 14 ( ( PUNCT american_scientific_journal-2922 70 15 .35 .35 NUM american_scientific_journal-2922 70 16 , , PUNCT american_scientific_journal-2922 70 17 .63 .63 NUM american_scientific_journal-2922 70 18 , , PUNCT american_scientific_journal-2922 70 19 .25 .25 NUM american_scientific_journal-2922 70 20 ) ) PUNCT american_scientific_journal-2922 70 21 ๏ฟฝ ๏ฟฝ PROPN american_scientific_journal-2922 70 22 = = SYM american_scientific_journal-2922 70 23 ๏ฟฝ ๏ฟฝ PROPN american_scientific_journal-2922 70 24 . . PUNCT american_scientific_journal-2922 71 1 2 2 NUM american_scientific_journal-2922 71 2 . . X american_scientific_journal-2922 71 3 7 7 NUM american_scientific_journal-2922 71 4 . . NUM american_scientific_journal-2922 71 5 35 35 NUM american_scientific_journal-2922 71 6 . . PUNCT american_scientific_journal-2922 72 1 18 18 NUM american_scientific_journal-2922 72 2 1 1 NUM american_scientific_journal-2922 72 3 . . X american_scientific_journal-2922 73 1 5 5 NUM american_scientific_journal-2922 73 2 . . X american_scientific_journal-2922 74 1 5 5 NUM american_scientific_journal-2922 74 2 . . X american_scientific_journal-2922 75 1 5 5 NUM american_scientific_journal-2922 75 2 . . X american_scientific_journal-2922 76 1 4 4 NUM american_scientific_journal-2922 76 2 . . NUM american_scientific_journal-2922 77 1 36 36 NUM american_scientific_journal-2922 77 2 . . PUNCT american_scientific_journal-2922 78 1 54 54 NUM american_scientific_journal-2922 78 2 . . PUNCT american_scientific_journal-2922 79 1 63 63 NUM american_scientific_journal-2922 79 2 ๏ฟฝ ๏ฟฝ PROPN american_scientific_journal-2922 79 3 3.3 3.3 NUM american_scientific_journal-2922 79 4 . . PUNCT american_scientific_journal-2922 80 1 max max PROPN american_scientific_journal-2922 80 2 - - PUNCT american_scientific_journal-2922 80 3 avg avg PROPN american_scientific_journal-2922 80 4 operation operation NOUN american_scientific_journal-2922 80 5 [ [ X american_scientific_journal-2922 80 6 4 4 X american_scientific_journal-2922 80 7 ] ] PUNCT american_scientific_journal-2922 80 8 definition definition NOUN american_scientific_journal-2922 80 9 : : PUNCT american_scientific_journal-2922 80 10 if if SCONJ american_scientific_journal-2922 80 11 ๐‘ƒ๐‘ƒ ๐‘ƒ๐‘ƒ ADJ american_scientific_journal-2922 80 12 and and CCONJ american_scientific_journal-2922 80 13 ๐‘„๐‘„ ๐‘„๐‘„ PROPN american_scientific_journal-2922 80 14 are be AUX american_scientific_journal-2922 80 15 two two NUM american_scientific_journal-2922 80 16 fuzzy fuzzy ADJ american_scientific_journal-2922 80 17 relations relation NOUN american_scientific_journal-2922 80 18 , , PUNCT american_scientific_journal-2922 80 19 then then ADV american_scientific_journal-2922 80 20 max max PROPN american_scientific_journal-2922 80 21 - - PUNCT american_scientific_journal-2922 80 22 avg avg PROPN american_scientific_journal-2922 80 23 operation operation NOUN american_scientific_journal-2922 80 24 of of ADP american_scientific_journal-2922 80 25 ๐‘ƒ๐‘ƒ ๐‘ƒ๐‘ƒ PROPN american_scientific_journal-2922 80 26 and and CCONJ american_scientific_journal-2922 80 27 ๐‘„๐‘„ ๐‘„๐‘„ PROPN american_scientific_journal-2922 80 28 is be AUX american_scientific_journal-2922 80 29 defined define VERB american_scientific_journal-2922 80 30 by by ADP american_scientific_journal-2922 80 31 , , PUNCT american_scientific_journal-2922 80 32 american american ADJ american_scientific_journal-2922 80 33 scientific scientific ADJ american_scientific_journal-2922 80 34 research research NOUN american_scientific_journal-2922 80 35 journal journal NOUN american_scientific_journal-2922 80 36 for for ADP american_scientific_journal-2922 80 37 engineering engineering NOUN american_scientific_journal-2922 80 38 , , PUNCT american_scientific_journal-2922 80 39 technology technology NOUN american_scientific_journal-2922 80 40 , , PUNCT american_scientific_journal-2922 80 41 and and CCONJ american_scientific_journal-2922 80 42 sciences science NOUN american_scientific_journal-2922 80 43 ( ( PUNCT american_scientific_journal-2922 80 44 asrjets asrjet NOUN american_scientific_journal-2922 80 45 ) ) PUNCT american_scientific_journal-2922 80 46 ( ( PUNCT american_scientific_journal-2922 80 47 2017 2017 NUM american_scientific_journal-2922 80 48 ) ) PUNCT american_scientific_journal-2922 80 49 volume volume NOUN american_scientific_journal-2922 80 50 31 31 NUM american_scientific_journal-2922 80 51 , , PUNCT american_scientific_journal-2922 80 52 no no DET american_scientific_journal-2922 80 53 1 1 NUM american_scientific_journal-2922 80 54 , , PUNCT american_scientific_journal-2922 80 55 pp pp ADV american_scientific_journal-2922 80 56 240 240 NUM american_scientific_journal-2922 80 57 - - SYM american_scientific_journal-2922 80 58 248 248 NUM american_scientific_journal-2922 80 59 246 246 NUM american_scientific_journal-2922 80 60 ๐‘ƒ๐‘ƒ๐‘ฆ๐‘ฆ๐‘„๐‘„ ๐‘ƒ๐‘ƒ๐‘ฆ๐‘ฆ๐‘„๐‘„ PROPN american_scientific_journal-2922 80 61 = = PUNCT american_scientific_journal-2922 80 62 { { PUNCT american_scientific_journal-2922 80 63 1 1 NUM american_scientific_journal-2922 80 64 2 2 NUM american_scientific_journal-2922 80 65 ( ( PUNCT american_scientific_journal-2922 80 66 ๐‘ƒ๐‘ƒ(๐‘ฅ๐‘ฅ,๐‘ฆ๐‘ฆ ๐‘ƒ๐‘ƒ(๐‘ฅ๐‘ฅ,๐‘ฆ๐‘ฆ NOUN american_scientific_journal-2922 80 67 ) ) PUNCT american_scientific_journal-2922 81 1 + + X american_scientific_journal-2922 81 2 ๐‘„๐‘„(๐‘ฆ๐‘ฆ ๐‘„๐‘„(๐‘ฆ๐‘ฆ ADJ american_scientific_journal-2922 81 3 , , PUNCT american_scientific_journal-2922 81 4 ๐‘ง๐‘ง)};โˆ€(๐‘ฅ๐‘ฅ,๐‘ฆ๐‘ฆ ๐‘ง๐‘ง)};โˆ€(๐‘ฅ๐‘ฅ,๐‘ฆ๐‘ฆ NOUN american_scientific_journal-2922 81 5 ) ) PUNCT american_scientific_journal-2922 81 6 , , PUNCT american_scientific_journal-2922 81 7 ( ( PUNCT american_scientific_journal-2922 81 8 ๐‘ฆ๐‘ฆ ๐‘ฆ๐‘ฆ PROPN american_scientific_journal-2922 81 9 , , PUNCT american_scientific_journal-2922 81 10 ๐‘ง๐‘ง ๐‘ง๐‘ง NOUN american_scientific_journal-2922 81 11 ) ) PUNCT american_scientific_journal-2922 81 12 โˆˆ โˆˆ PROPN american_scientific_journal-2922 81 13 ๐‘‹๐‘‹ ๐‘‹๐‘‹ PROPN american_scientific_journal-2922 81 14 ร— ร— PROPN american_scientific_journal-2922 81 15 ๐‘Œ๐‘Œ๐‘ฆ๐‘ฆโˆˆ๐‘Œ๐‘Œ ๐‘Œ๐‘Œ๐‘ฆ๐‘ฆโˆˆ๐‘Œ๐‘Œ PROPN american_scientific_journal-2922 81 16 ๐‘š๐‘š๐‘š๐‘š๐‘ฅ๐‘ฅ ๐‘š๐‘š๐‘š๐‘š๐‘ฅ๐‘ฅ NOUN american_scientific_journal-2922 81 17 example example VERB american_scientific_journal-2922 81 18 : : PUNCT american_scientific_journal-2922 81 19 if if SCONJ american_scientific_journal-2922 81 20 ๐‘ƒ๐‘ƒ ๐‘ƒ๐‘ƒ PROPN american_scientific_journal-2922 81 21 = = SYM american_scientific_journal-2922 81 22 ๏ฟฝ ๏ฟฝ PROPN american_scientific_journal-2922 81 23 . . PUNCT american_scientific_journal-2922 82 1 2 2 NUM american_scientific_journal-2922 82 2 . . X american_scientific_journal-2922 82 3 4 4 NUM american_scientific_journal-2922 82 4 . . X american_scientific_journal-2922 83 1 7 7 NUM american_scientific_journal-2922 83 2 0 0 NUM american_scientific_journal-2922 83 3 . . PUNCT american_scientific_journal-2922 84 1 6 6 NUM american_scientific_journal-2922 84 2 1 1 NUM american_scientific_journal-2922 84 3 . . X american_scientific_journal-2922 85 1 5 5 NUM american_scientific_journal-2922 85 2 . . X american_scientific_journal-2922 86 1 7 7 NUM american_scientific_journal-2922 86 2 . . SYM american_scientific_journal-2922 86 3 5 5 NUM american_scientific_journal-2922 86 4 ๏ฟฝ ๏ฟฝ PROPN american_scientific_journal-2922 86 5 and and CCONJ american_scientific_journal-2922 86 6 ๐‘„๐‘„ ๐‘„๐‘„ PROPN american_scientific_journal-2922 86 7 = = SYM american_scientific_journal-2922 86 8 ๏ฟฝ ๏ฟฝ PROPN american_scientific_journal-2922 86 9 1 1 NUM american_scientific_journal-2922 86 10 . . NUM american_scientific_journal-2922 86 11 6 6 NUM american_scientific_journal-2922 86 12 . . NOUN american_scientific_journal-2922 86 13 8 8 NUM american_scientific_journal-2922 86 14 . . NUM american_scientific_journal-2922 86 15 3 3 NUM american_scientific_journal-2922 86 16 . . X american_scientific_journal-2922 86 17 2 2 NUM american_scientific_journal-2922 86 18 0 0 NUM american_scientific_journal-2922 86 19 0 0 NUM american_scientific_journal-2922 86 20 1 1 NUM american_scientific_journal-2922 86 21 . . X american_scientific_journal-2922 86 22 5 5 NUM american_scientific_journal-2922 86 23 . . X american_scientific_journal-2922 86 24 7 7 NUM american_scientific_journal-2922 86 25 . . X american_scientific_journal-2922 86 26 9 9 NUM american_scientific_journal-2922 86 27 . . X american_scientific_journal-2922 86 28 5 5 NUM american_scientific_journal-2922 86 29 ๏ฟฝ ๏ฟฝ NOUN american_scientific_journal-2922 86 30 be be AUX american_scientific_journal-2922 86 31 two two NUM american_scientific_journal-2922 86 32 fuzzy fuzzy ADJ american_scientific_journal-2922 86 33 relations relation NOUN american_scientific_journal-2922 86 34 , , PUNCT american_scientific_journal-2922 86 35 then then ADV american_scientific_journal-2922 86 36 max max PROPN american_scientific_journal-2922 86 37 - - PUNCT american_scientific_journal-2922 86 38 avg avg PROPN american_scientific_journal-2922 86 39 operations operation NOUN american_scientific_journal-2922 86 40 on on ADP american_scientific_journal-2922 86 41 ๐‘ƒ๐‘ƒ ๐‘ƒ๐‘ƒ ADV american_scientific_journal-2922 86 42 and and CCONJ american_scientific_journal-2922 86 43 ๐‘„๐‘„ ๐‘„๐‘„ PROPN american_scientific_journal-2922 86 44 is be AUX american_scientific_journal-2922 86 45 : : PUNCT american_scientific_journal-2922 86 46 ๐‘ƒ๐‘ƒ๐‘ฆ๐‘ฆ๐‘„๐‘„ ๐‘ƒ๐‘ƒ๐‘ฆ๐‘ฆ๐‘„๐‘„ X american_scientific_journal-2922 86 47 = = PUNCT american_scientific_journal-2922 86 48 โŽฃ โŽฃ ADV american_scientific_journal-2922 86 49 โŽข โŽข NOUN american_scientific_journal-2922 86 50 โŽข โŽข NOUN american_scientific_journal-2922 86 51 โŽข โŽข NOUN american_scientific_journal-2922 86 52 โŽข โŽข NOUN american_scientific_journal-2922 86 53 โŽกโˆจ โŽกโˆจ NOUN american_scientific_journal-2922 86 54 ( ( PUNCT american_scientific_journal-2922 86 55 . . PUNCT american_scientific_journal-2922 87 1 2 2 NUM american_scientific_journal-2922 87 2 + + SYM american_scientific_journal-2922 87 3 1 1 NUM american_scientific_journal-2922 87 4 2 2 NUM american_scientific_journal-2922 87 5 , , PUNCT american_scientific_journal-2922 87 6 . . PUNCT american_scientific_journal-2922 88 1 4 4 NUM american_scientific_journal-2922 88 2 + + NUM american_scientific_journal-2922 88 3 .3 .3 NUM american_scientific_journal-2922 88 4 2 2 NUM american_scientific_journal-2922 88 5 , , PUNCT american_scientific_journal-2922 88 6 . . PUNCT american_scientific_journal-2922 89 1 7 7 NUM american_scientific_journal-2922 90 1 + + CCONJ american_scientific_journal-2922 90 2 0 0 NUM american_scientific_journal-2922 90 3 2 2 NUM american_scientific_journal-2922 90 4 ) ) PUNCT american_scientific_journal-2922 90 5 โˆจ โˆจ NUM american_scientific_journal-2922 90 6 ( ( PUNCT american_scientific_journal-2922 90 7 . . PUNCT american_scientific_journal-2922 90 8 2 2 NUM american_scientific_journal-2922 91 1 + + CCONJ american_scientific_journal-2922 91 2 .6 .6 NUM american_scientific_journal-2922 91 3 2 2 NUM american_scientific_journal-2922 91 4 , , PUNCT american_scientific_journal-2922 91 5 . . PUNCT american_scientific_journal-2922 92 1 4 4 NUM american_scientific_journal-2922 93 1 + + CCONJ american_scientific_journal-2922 93 2 .2 .2 NUM american_scientific_journal-2922 93 3 2 2 NUM american_scientific_journal-2922 93 4 , , PUNCT american_scientific_journal-2922 93 5 . . PUNCT american_scientific_journal-2922 94 1 7 7 NUM american_scientific_journal-2922 95 1 + + SYM american_scientific_journal-2922 95 2 1 1 NUM american_scientific_journal-2922 95 3 2 2 NUM american_scientific_journal-2922 95 4 ) ) PUNCT american_scientific_journal-2922 95 5 โˆจ โˆจ NUM american_scientific_journal-2922 95 6 ( ( PUNCT american_scientific_journal-2922 95 7 . . PUNCT american_scientific_journal-2922 95 8 2 2 NUM american_scientific_journal-2922 96 1 + + NUM american_scientific_journal-2922 96 2 .8 .8 NUM american_scientific_journal-2922 96 3 2 2 NUM american_scientific_journal-2922 96 4 , , PUNCT american_scientific_journal-2922 96 5 . . PUNCT american_scientific_journal-2922 97 1 4 4 NUM american_scientific_journal-2922 97 2 + + CCONJ american_scientific_journal-2922 97 3 0 0 NUM american_scientific_journal-2922 97 4 2 2 NUM american_scientific_journal-2922 97 5 , , PUNCT american_scientific_journal-2922 97 6 . . PUNCT american_scientific_journal-2922 98 1 7 7 NUM american_scientific_journal-2922 99 1 + + CCONJ american_scientific_journal-2922 99 2 .5 .5 NUM american_scientific_journal-2922 99 3 2 2 NUM american_scientific_journal-2922 99 4 ) ) PUNCT american_scientific_journal-2922 99 5 โˆจ โˆจ NOUN american_scientific_journal-2922 99 6 ( ( PUNCT american_scientific_journal-2922 99 7 0 0 NUM american_scientific_journal-2922 99 8 + + CCONJ american_scientific_journal-2922 99 9 1 1 NUM american_scientific_journal-2922 99 10 2 2 NUM american_scientific_journal-2922 99 11 , , PUNCT american_scientific_journal-2922 99 12 . . PUNCT american_scientific_journal-2922 100 1 6 6 NUM american_scientific_journal-2922 100 2 + + NUM american_scientific_journal-2922 100 3 .3 .3 NUM american_scientific_journal-2922 100 4 2 2 NUM american_scientific_journal-2922 100 5 , , PUNCT american_scientific_journal-2922 100 6 1 1 NUM american_scientific_journal-2922 100 7 + + CCONJ american_scientific_journal-2922 100 8 0 0 NUM american_scientific_journal-2922 100 9 2 2 NUM american_scientific_journal-2922 100 10 ) ) PUNCT american_scientific_journal-2922 100 11 โˆจ โˆจ NOUN american_scientific_journal-2922 100 12 ( ( PUNCT american_scientific_journal-2922 100 13 0 0 NUM american_scientific_journal-2922 101 1 + + CCONJ american_scientific_journal-2922 101 2 .6 .6 NUM american_scientific_journal-2922 101 3 2 2 NUM american_scientific_journal-2922 101 4 , , PUNCT american_scientific_journal-2922 101 5 . . PUNCT american_scientific_journal-2922 102 1 6 6 NUM american_scientific_journal-2922 103 1 + + CCONJ american_scientific_journal-2922 103 2 .2 .2 NUM american_scientific_journal-2922 103 3 2 2 NUM american_scientific_journal-2922 103 4 , , PUNCT american_scientific_journal-2922 103 5 1 1 NUM american_scientific_journal-2922 103 6 + + SYM american_scientific_journal-2922 103 7 1 1 NUM american_scientific_journal-2922 103 8 2 2 NUM american_scientific_journal-2922 103 9 ) ) PUNCT american_scientific_journal-2922 103 10 โˆจ โˆจ NOUN american_scientific_journal-2922 103 11 ( ( PUNCT american_scientific_journal-2922 103 12 0 0 NUM american_scientific_journal-2922 104 1 + + CCONJ american_scientific_journal-2922 104 2 .8 .8 NUM american_scientific_journal-2922 104 3 2 2 NUM american_scientific_journal-2922 104 4 , , PUNCT american_scientific_journal-2922 104 5 . . PUNCT american_scientific_journal-2922 105 1 6 6 NUM american_scientific_journal-2922 105 2 + + CCONJ american_scientific_journal-2922 105 3 0 0 NUM american_scientific_journal-2922 105 4 2 2 NUM american_scientific_journal-2922 105 5 , , PUNCT american_scientific_journal-2922 105 6 1 1 NUM american_scientific_journal-2922 105 7 + + NUM american_scientific_journal-2922 105 8 .5 .5 NUM american_scientific_journal-2922 105 9 2 2 NUM american_scientific_journal-2922 105 10 ) ) PUNCT american_scientific_journal-2922 105 11 โˆจ โˆจ NUM american_scientific_journal-2922 105 12 ( ( PUNCT american_scientific_journal-2922 105 13 . . PUNCT american_scientific_journal-2922 106 1 5 5 NUM american_scientific_journal-2922 106 2 + + SYM american_scientific_journal-2922 106 3 1 1 NUM american_scientific_journal-2922 106 4 2 2 NUM american_scientific_journal-2922 106 5 , , PUNCT american_scientific_journal-2922 106 6 . . PUNCT american_scientific_journal-2922 107 1 7 7 NUM american_scientific_journal-2922 108 1 + + NUM american_scientific_journal-2922 108 2 .3 .3 NUM american_scientific_journal-2922 108 3 2 2 NUM american_scientific_journal-2922 108 4 , , PUNCT american_scientific_journal-2922 108 5 . . PUNCT american_scientific_journal-2922 109 1 5 5 NUM american_scientific_journal-2922 110 1 + + CCONJ american_scientific_journal-2922 110 2 0 0 NUM american_scientific_journal-2922 110 3 2 2 NUM american_scientific_journal-2922 110 4 ) ) PUNCT american_scientific_journal-2922 110 5 โˆจ โˆจ NUM american_scientific_journal-2922 110 6 ( ( PUNCT american_scientific_journal-2922 110 7 . . PUNCT american_scientific_journal-2922 110 8 5 5 NUM american_scientific_journal-2922 110 9 + + CCONJ american_scientific_journal-2922 110 10 .6 .6 NUM american_scientific_journal-2922 110 11 2 2 NUM american_scientific_journal-2922 110 12 , , PUNCT american_scientific_journal-2922 110 13 . . PUNCT american_scientific_journal-2922 111 1 7 7 NUM american_scientific_journal-2922 112 1 + + CCONJ american_scientific_journal-2922 112 2 .2 .2 NUM american_scientific_journal-2922 112 3 2 2 NUM american_scientific_journal-2922 112 4 , , PUNCT american_scientific_journal-2922 112 5 . . PUNCT american_scientific_journal-2922 113 1 5 5 NUM american_scientific_journal-2922 113 2 + + SYM american_scientific_journal-2922 113 3 1 1 NUM american_scientific_journal-2922 113 4 2 2 NUM american_scientific_journal-2922 113 5 ) ) PUNCT american_scientific_journal-2922 113 6 โˆจ โˆจ NUM american_scientific_journal-2922 113 7 ( ( PUNCT american_scientific_journal-2922 113 8 . . PUNCT american_scientific_journal-2922 113 9 5 5 NUM american_scientific_journal-2922 114 1 + + CCONJ american_scientific_journal-2922 114 2 .8 .8 NUM american_scientific_journal-2922 114 3 2 2 NUM american_scientific_journal-2922 114 4 , , PUNCT american_scientific_journal-2922 114 5 . . PUNCT american_scientific_journal-2922 115 1 7 7 NUM american_scientific_journal-2922 116 1 + + CCONJ american_scientific_journal-2922 116 2 0 0 NUM american_scientific_journal-2922 116 3 2 2 NUM american_scientific_journal-2922 116 4 , , PUNCT american_scientific_journal-2922 116 5 . . PUNCT american_scientific_journal-2922 117 1 5 5 NUM american_scientific_journal-2922 118 1 + + CCONJ american_scientific_journal-2922 118 2 .5 .5 NUM american_scientific_journal-2922 118 3 2 2 NUM american_scientific_journal-2922 118 4 ) ) PUNCT american_scientific_journal-2922 118 5 โˆจ โˆจ NUM american_scientific_journal-2922 118 6 ( ( PUNCT american_scientific_journal-2922 118 7 . . PUNCT american_scientific_journal-2922 119 1 2 2 NUM american_scientific_journal-2922 119 2 + + CCONJ american_scientific_journal-2922 119 3 .7 .7 NUM american_scientific_journal-2922 119 4 2 2 NUM american_scientific_journal-2922 119 5 , , PUNCT american_scientific_journal-2922 119 6 . . PUNCT american_scientific_journal-2922 120 1 4 4 NUM american_scientific_journal-2922 121 1 + + CCONJ american_scientific_journal-2922 121 2 .9 .9 NUM american_scientific_journal-2922 121 3 2 2 NUM american_scientific_journal-2922 121 4 , , PUNCT american_scientific_journal-2922 121 5 . . PUNCT american_scientific_journal-2922 122 1 7 7 NUM american_scientific_journal-2922 123 1 + + CCONJ american_scientific_journal-2922 123 2 .5 .5 NUM american_scientific_journal-2922 123 3 2 2 NUM american_scientific_journal-2922 123 4 ) ) PUNCT american_scientific_journal-2922 123 5 โˆจ โˆจ NOUN american_scientific_journal-2922 123 6 ( ( PUNCT american_scientific_journal-2922 123 7 0 0 NUM american_scientific_journal-2922 124 1 + + CCONJ american_scientific_journal-2922 124 2 .7 .7 NUM american_scientific_journal-2922 124 3 2 2 NUM american_scientific_journal-2922 124 4 , , PUNCT american_scientific_journal-2922 124 5 . . PUNCT american_scientific_journal-2922 125 1 6 6 NUM american_scientific_journal-2922 126 1 + + CCONJ american_scientific_journal-2922 126 2 .9 .9 NUM american_scientific_journal-2922 126 3 2 2 NUM american_scientific_journal-2922 126 4 , , PUNCT american_scientific_journal-2922 126 5 1 1 NUM american_scientific_journal-2922 126 6 + + NUM american_scientific_journal-2922 126 7 .5 .5 NUM american_scientific_journal-2922 126 8 2 2 NUM american_scientific_journal-2922 126 9 ) ) PUNCT american_scientific_journal-2922 126 10 โˆจ โˆจ NUM american_scientific_journal-2922 126 11 ( ( PUNCT american_scientific_journal-2922 126 12 . . PUNCT american_scientific_journal-2922 127 1 5 5 NUM american_scientific_journal-2922 127 2 + + CCONJ american_scientific_journal-2922 127 3 .7 .7 NUM american_scientific_journal-2922 127 4 2 2 NUM american_scientific_journal-2922 127 5 , , PUNCT american_scientific_journal-2922 127 6 . . PUNCT american_scientific_journal-2922 128 1 7 7 NUM american_scientific_journal-2922 129 1 + + CCONJ american_scientific_journal-2922 129 2 .9 .9 NUM american_scientific_journal-2922 129 3 2 2 NUM american_scientific_journal-2922 129 4 , , PUNCT american_scientific_journal-2922 129 5 . . PUNCT american_scientific_journal-2922 130 1 5 5 NUM american_scientific_journal-2922 131 1 + + CCONJ american_scientific_journal-2922 131 2 .5 .5 NUM american_scientific_journal-2922 131 3 2 2 NUM american_scientific_journal-2922 131 4 ) ) PUNCT american_scientific_journal-2922 131 5 โŽฆ โŽฆ NOUN american_scientific_journal-2922 131 6 โŽฅ โŽฅ PROPN american_scientific_journal-2922 131 7 โŽฅ โŽฅ PROPN american_scientific_journal-2922 131 8 โŽฅ โŽฅ PROPN american_scientific_journal-2922 131 9 โŽฅ โŽฅ PROPN american_scientific_journal-2922 131 10 โŽค โŽค PROPN american_scientific_journal-2922 131 11 = = PUNCT american_scientific_journal-2922 131 12 ๏ฟฝ ๏ฟฝ PROPN american_scientific_journal-2922 131 13 โˆจ โˆจ NUM american_scientific_journal-2922 131 14 ( ( PUNCT american_scientific_journal-2922 131 15 .6 .6 PROPN american_scientific_journal-2922 131 16 , , PUNCT american_scientific_journal-2922 131 17 .35 .35 NUM american_scientific_journal-2922 131 18 , , PUNCT american_scientific_journal-2922 131 19 .35 .35 NUM american_scientific_journal-2922 131 20 ) ) PUNCT american_scientific_journal-2922 131 21 โˆจ โˆจ NUM american_scientific_journal-2922 131 22 ( ( PUNCT american_scientific_journal-2922 131 23 . . PUNCT american_scientific_journal-2922 132 1 .4 .4 NUM american_scientific_journal-2922 132 2 , , PUNCT american_scientific_journal-2922 132 3 .3 .3 NUM american_scientific_journal-2922 132 4 , , PUNCT american_scientific_journal-2922 132 5 . . PUNCT american_scientific_journal-2922 133 1 .85 .85 NUM american_scientific_journal-2922 133 2 ) ) PUNCT american_scientific_journal-2922 133 3 โˆจ โˆจ NUM american_scientific_journal-2922 133 4 ( ( PUNCT american_scientific_journal-2922 133 5 .5 .5 NUM american_scientific_journal-2922 133 6 , , PUNCT american_scientific_journal-2922 133 7 .2 .2 NUM american_scientific_journal-2922 133 8 , , PUNCT american_scientific_journal-2922 133 9 .6 .6 NUM american_scientific_journal-2922 133 10 ) ) PUNCT american_scientific_journal-2922 133 11 โˆจ โˆจ PROPN american_scientific_journal-2922 133 12 ( ( PUNCT american_scientific_journal-2922 133 13 .5 .5 NUM american_scientific_journal-2922 133 14 , , PUNCT american_scientific_journal-2922 133 15 .45 .45 NUM american_scientific_journal-2922 133 16 , , PUNCT american_scientific_journal-2922 133 17 .5 .5 NUM american_scientific_journal-2922 133 18 ) ) PUNCT american_scientific_journal-2922 133 19 โˆจ โˆจ NUM american_scientific_journal-2922 133 20 ( ( PUNCT american_scientific_journal-2922 133 21 .3 .3 NUM american_scientific_journal-2922 133 22 , , PUNCT american_scientific_journal-2922 133 23 .4,1 .4,1 NUM american_scientific_journal-2922 133 24 ) ) PUNCT american_scientific_journal-2922 133 25 โˆจ โˆจ NUM american_scientific_journal-2922 133 26 ( ( PUNCT american_scientific_journal-2922 133 27 .4 .4 NUM american_scientific_journal-2922 133 28 , , PUNCT american_scientific_journal-2922 133 29 .3 .3 NUM american_scientific_journal-2922 133 30 , , PUNCT american_scientific_journal-2922 133 31 .75 .75 NUM american_scientific_journal-2922 133 32 ) ) PUNCT american_scientific_journal-2922 133 33 โˆจ โˆจ NUM american_scientific_journal-2922 133 34 ( ( PUNCT american_scientific_journal-2922 133 35 .75 .75 NUM american_scientific_journal-2922 133 36 , , PUNCT american_scientific_journal-2922 133 37 .5 .5 NUM american_scientific_journal-2922 133 38 , , PUNCT american_scientific_journal-2922 133 39 .25 .25 NUM american_scientific_journal-2922 133 40 ) ) PUNCT american_scientific_journal-2922 133 41 โˆจ โˆจ NUM american_scientific_journal-2922 133 42 ( ( PUNCT american_scientific_journal-2922 133 43 .55 .55 NUM american_scientific_journal-2922 133 44 , , PUNCT american_scientific_journal-2922 133 45 .45 .45 NUM american_scientific_journal-2922 133 46 , , PUNCT american_scientific_journal-2922 133 47 .75 .75 NUM american_scientific_journal-2922 133 48 ) ) PUNCT american_scientific_journal-2922 133 49 โˆจ โˆจ NUM american_scientific_journal-2922 133 50 ( ( PUNCT american_scientific_journal-2922 133 51 .65 .65 NUM american_scientific_journal-2922 133 52 , , PUNCT american_scientific_journal-2922 133 53 .35 .35 NUM american_scientific_journal-2922 133 54 , , PUNCT american_scientific_journal-2922 133 55 .5 .5 NUM american_scientific_journal-2922 133 56 ) ) PUNCT american_scientific_journal-2922 133 57 โˆจ โˆจ NUM american_scientific_journal-2922 133 58 ( ( PUNCT american_scientific_journal-2922 133 59 .45 .45 NUM american_scientific_journal-2922 133 60 , , PUNCT american_scientific_journal-2922 133 61 .65 .65 NUM american_scientific_journal-2922 133 62 , , PUNCT american_scientific_journal-2922 133 63 .6 .6 NUM american_scientific_journal-2922 133 64 ) ) PUNCT american_scientific_journal-2922 133 65 โˆจ โˆจ NUM american_scientific_journal-2922 133 66 ( ( PUNCT american_scientific_journal-2922 133 67 .35 .35 NUM american_scientific_journal-2922 133 68 , , PUNCT american_scientific_journal-2922 133 69 .75 .75 NUM american_scientific_journal-2922 133 70 , , PUNCT american_scientific_journal-2922 133 71 .75 .75 NUM american_scientific_journal-2922 133 72 ) ) PUNCT american_scientific_journal-2922 133 73 โˆจ โˆจ NUM american_scientific_journal-2922 133 74 ( ( PUNCT american_scientific_journal-2922 133 75 .6 .6 PROPN american_scientific_journal-2922 133 76 , , PUNCT american_scientific_journal-2922 133 77 .8 .8 NUM american_scientific_journal-2922 133 78 , , PUNCT american_scientific_journal-2922 133 79 .5 .5 NUM american_scientific_journal-2922 133 80 ) ) PUNCT american_scientific_journal-2922 133 81 ๏ฟฝ ๏ฟฝ PROPN american_scientific_journal-2922 133 82 = = SYM american_scientific_journal-2922 133 83 ๏ฟฝ ๏ฟฝ PROPN american_scientific_journal-2922 133 84 . . PUNCT american_scientific_journal-2922 134 1 6 6 NUM american_scientific_journal-2922 134 2 . . NOUN american_scientific_journal-2922 134 3 85 85 NUM american_scientific_journal-2922 134 4 . . NOUN american_scientific_journal-2922 135 1 6 6 NUM american_scientific_journal-2922 135 2 . . NOUN american_scientific_journal-2922 135 3 5 5 NUM american_scientific_journal-2922 135 4 1 1 NUM american_scientific_journal-2922 135 5 . . PUNCT american_scientific_journal-2922 136 1 75 75 NUM american_scientific_journal-2922 136 2 . . PUNCT american_scientific_journal-2922 137 1 75 75 NUM american_scientific_journal-2922 137 2 . . PUNCT american_scientific_journal-2922 138 1 75 75 NUM american_scientific_journal-2922 138 2 . . PUNCT american_scientific_journal-2922 139 1 65 65 NUM american_scientific_journal-2922 139 2 . . PUNCT american_scientific_journal-2922 140 1 65 65 NUM american_scientific_journal-2922 140 2 . . X american_scientific_journal-2922 141 1 75 75 NUM american_scientific_journal-2922 141 2 . . NOUN american_scientific_journal-2922 141 3 8 8 NUM american_scientific_journal-2922 141 4 ๏ฟฝ ๏ฟฝ PROPN american_scientific_journal-2922 141 5 from from ADP american_scientific_journal-2922 141 6 the the DET american_scientific_journal-2922 141 7 above above ADJ american_scientific_journal-2922 141 8 example example NOUN american_scientific_journal-2922 141 9 we we PRON american_scientific_journal-2922 141 10 see see VERB american_scientific_journal-2922 141 11 that that SCONJ american_scientific_journal-2922 141 12 , , PUNCT american_scientific_journal-2922 141 13 max max PROPN american_scientific_journal-2922 141 14 - - PUNCT american_scientific_journal-2922 141 15 min min PROPN american_scientific_journal-2922 141 16 operation operation NOUN american_scientific_journal-2922 141 17 and and CCONJ american_scientific_journal-2922 141 18 max max PROPN american_scientific_journal-2922 141 19 - - PUNCT american_scientific_journal-2922 141 20 product product NOUN american_scientific_journal-2922 141 21 operation operation NOUN american_scientific_journal-2922 141 22 on on ADP american_scientific_journal-2922 141 23 two two NUM american_scientific_journal-2922 141 24 classical classical ADJ american_scientific_journal-2922 141 25 relations relation NOUN american_scientific_journal-2922 141 26 give give VERB american_scientific_journal-2922 141 27 the the DET american_scientific_journal-2922 141 28 same same ADJ american_scientific_journal-2922 141 29 result result NOUN american_scientific_journal-2922 141 30 . . PUNCT american_scientific_journal-2922 142 1 but but CCONJ american_scientific_journal-2922 142 2 max max PROPN american_scientific_journal-2922 142 3 - - PUNCT american_scientific_journal-2922 142 4 min min PROPN american_scientific_journal-2922 142 5 operation operation NOUN american_scientific_journal-2922 142 6 and and CCONJ american_scientific_journal-2922 142 7 max max PROPN american_scientific_journal-2922 142 8 - - PUNCT american_scientific_journal-2922 142 9 product product NOUN american_scientific_journal-2922 142 10 operation operation NOUN american_scientific_journal-2922 142 11 on on ADP american_scientific_journal-2922 142 12 two two NUM american_scientific_journal-2922 142 13 fuzzy fuzzy ADJ american_scientific_journal-2922 142 14 relations relation NOUN american_scientific_journal-2922 142 15 have have VERB american_scientific_journal-2922 142 16 different different ADJ american_scientific_journal-2922 142 17 result result NOUN american_scientific_journal-2922 142 18 . . PUNCT american_scientific_journal-2922 143 1 also also ADV american_scientific_journal-2922 143 2 the the DET american_scientific_journal-2922 143 3 max max PROPN american_scientific_journal-2922 143 4 - - PUNCT american_scientific_journal-2922 143 5 avg avg PROPN american_scientific_journal-2922 143 6 operation operation NOUN american_scientific_journal-2922 143 7 on on ADP american_scientific_journal-2922 143 8 two two NUM american_scientific_journal-2922 143 9 fuzzy fuzzy ADJ american_scientific_journal-2922 143 10 relations relation NOUN american_scientific_journal-2922 143 11 has have VERB american_scientific_journal-2922 143 12 different different ADJ american_scientific_journal-2922 143 13 result result NOUN american_scientific_journal-2922 143 14 from from ADP american_scientific_journal-2922 143 15 max max PROPN american_scientific_journal-2922 143 16 - - PUNCT american_scientific_journal-2922 143 17 min min PROPN american_scientific_journal-2922 143 18 and and CCONJ american_scientific_journal-2922 143 19 max max PROPN american_scientific_journal-2922 143 20 - - PUNCT american_scientific_journal-2922 143 21 product product NOUN american_scientific_journal-2922 143 22 operation operation NOUN american_scientific_journal-2922 143 23 . . PUNCT american_scientific_journal-2922 144 1 4 4 X american_scientific_journal-2922 144 2 . . NOUN american_scientific_journal-2922 144 3 fuzzy fuzzy ADJ american_scientific_journal-2922 144 4 equivalence equivalence NOUN american_scientific_journal-2922 144 5 relation relation NOUN american_scientific_journal-2922 145 1 [ [ X american_scientific_journal-2922 145 2 2 2 X american_scientific_journal-2922 145 3 ] ] PUNCT american_scientific_journal-2922 145 4 a a DET american_scientific_journal-2922 145 5 binary binary ADJ american_scientific_journal-2922 145 6 fuzzy fuzzy ADJ american_scientific_journal-2922 145 7 relation relation NOUN american_scientific_journal-2922 145 8 ๐‘…๐‘… ๐‘…๐‘… PROPN american_scientific_journal-2922 145 9 in in ADP american_scientific_journal-2922 145 10 ๐‘‹๐‘‹ ๐‘‹๐‘‹ PROPN american_scientific_journal-2922 145 11 ร— ร— PROPN american_scientific_journal-2922 145 12 ๐‘‹๐‘‹ ๐‘‹๐‘‹ PROPN american_scientific_journal-2922 145 13 is be AUX american_scientific_journal-2922 145 14 called call VERB american_scientific_journal-2922 145 15 fuzzy fuzzy ADJ american_scientific_journal-2922 145 16 equivalence equivalence NOUN american_scientific_journal-2922 145 17 relation relation NOUN american_scientific_journal-2922 145 18 if if SCONJ american_scientific_journal-2922 145 19 it it PRON american_scientific_journal-2922 145 20 satisfies satisfy VERB american_scientific_journal-2922 145 21 the the DET american_scientific_journal-2922 145 22 following follow VERB american_scientific_journal-2922 145 23 three three NUM american_scientific_journal-2922 145 24 conditions condition NOUN american_scientific_journal-2922 145 25 : : PUNCT american_scientific_journal-2922 145 26 i i X american_scientific_journal-2922 145 27 ) ) PUNCT american_scientific_journal-2922 145 28 ๐‘…๐‘…(๐‘ฅ๐‘ฅ ๐‘…๐‘…(๐‘ฅ๐‘ฅ PROPN american_scientific_journal-2922 145 29 , , PUNCT american_scientific_journal-2922 145 30 ๐‘ฅ๐‘ฅ ๐‘ฅ๐‘ฅ ADP american_scientific_journal-2922 145 31 ) ) PUNCT american_scientific_journal-2922 145 32 = = SYM american_scientific_journal-2922 145 33 1 1 NUM american_scientific_journal-2922 145 34 ; ; PUNCT american_scientific_journal-2922 146 1 โˆ€๐‘ฅ๐‘ฅ โˆ€๐‘ฅ๐‘ฅ PROPN american_scientific_journal-2922 146 2 โˆˆ โˆˆ PROPN american_scientific_journal-2922 146 3 ๐‘‹๐‘‹ ๐‘‹๐‘‹ PROPN american_scientific_journal-2922 147 1 [ [ X american_scientific_journal-2922 147 2 reflexive reflexive ADJ american_scientific_journal-2922 147 3 condition condition NOUN american_scientific_journal-2922 147 4 ] ] X american_scientific_journal-2922 147 5 ii ii X american_scientific_journal-2922 147 6 ) ) PUNCT american_scientific_journal-2922 147 7 ๐‘…๐‘…(๐‘ฅ๐‘ฅ,๐‘ฆ๐‘ฆ ๐‘…๐‘…(๐‘ฅ๐‘ฅ,๐‘ฆ๐‘ฆ PROPN american_scientific_journal-2922 147 8 ) ) PUNCT american_scientific_journal-2922 147 9 = = SYM american_scientific_journal-2922 147 10 ๐‘…๐‘…(๐‘ฆ๐‘ฆ ๐‘…๐‘…(๐‘ฆ๐‘ฆ PROPN american_scientific_journal-2922 147 11 , , PUNCT american_scientific_journal-2922 147 12 ๐‘ฅ๐‘ฅ ๐‘ฅ๐‘ฅ ADP american_scientific_journal-2922 147 13 ) ) PUNCT american_scientific_journal-2922 147 14 ; ; PUNCT american_scientific_journal-2922 147 15 โˆ€๐‘ฅ๐‘ฅ,๐‘ฆ๐‘ฆ โˆ€๐‘ฅ๐‘ฅ,๐‘ฆ๐‘ฆ PROPN american_scientific_journal-2922 147 16 โˆˆ โˆˆ PROPN american_scientific_journal-2922 147 17 ๐‘‹๐‘‹ ๐‘‹๐‘‹ PROPN american_scientific_journal-2922 148 1 [ [ X american_scientific_journal-2922 148 2 symmetric symmetric ADJ american_scientific_journal-2922 148 3 condition condition NOUN american_scientific_journal-2922 148 4 ] ] X american_scientific_journal-2922 148 5 iii iii X american_scientific_journal-2922 148 6 ) ) PUNCT american_scientific_journal-2922 148 7 ๐‘…๐‘…(๐‘ฅ๐‘ฅ ๐‘…๐‘…(๐‘ฅ๐‘ฅ PROPN american_scientific_journal-2922 148 8 , , PUNCT american_scientific_journal-2922 148 9 ๐‘ง๐‘ง ๐‘ง๐‘ง NOUN american_scientific_journal-2922 148 10 ) ) PUNCT american_scientific_journal-2922 148 11 โ‰ฅ โ‰ฅ NOUN american_scientific_journal-2922 148 12 { { PUNCT american_scientific_journal-2922 148 13 ๐‘š๐‘š๐‘™๐‘™๐‘”๐‘”(๐‘…๐‘…(๐‘ฅ๐‘ฅ,๐‘ฆ๐‘ฆ),๐‘…๐‘…(๐‘ฆ๐‘ฆ ๐‘š๐‘š๐‘™๐‘™๐‘”๐‘”(๐‘…๐‘…(๐‘ฅ๐‘ฅ,๐‘ฆ๐‘ฆ),๐‘…๐‘…(๐‘ฆ๐‘ฆ NUM american_scientific_journal-2922 148 14 , , PUNCT american_scientific_journal-2922 148 15 ๐‘ง๐‘ง ๐‘ง๐‘ง NOUN american_scientific_journal-2922 148 16 ) ) PUNCT american_scientific_journal-2922 148 17 } } PUNCT american_scientific_journal-2922 148 18 ; ; PUNCT american_scientific_journal-2922 148 19 โˆ€๐‘ฅ๐‘ฅ,๐‘ฆ๐‘ฆ โˆ€๐‘ฅ๐‘ฅ,๐‘ฆ๐‘ฆ NOUN american_scientific_journal-2922 148 20 , , PUNCT american_scientific_journal-2922 148 21 ๐‘ง๐‘ง ๐‘ง๐‘ง PRON american_scientific_journal-2922 148 22 โˆˆ โˆˆ PROPN american_scientific_journal-2922 148 23 ๐‘‹๐‘‹๐‘ฆ๐‘ฆโˆˆ๐‘Œ๐‘Œ ๐‘‹๐‘‹๐‘ฆ๐‘ฆโˆˆ๐‘Œ๐‘Œ PROPN american_scientific_journal-2922 148 24 ๐‘š๐‘š๐‘š๐‘š๐‘ฅ๐‘ฅ ๐‘š๐‘š๐‘š๐‘š๐‘ฅ๐‘ฅ NOUN american_scientific_journal-2922 148 25 [ [ X american_scientific_journal-2922 148 26 transitive transitive ADJ american_scientific_journal-2922 148 27 condition condition NOUN american_scientific_journal-2922 148 28 ] ] PUNCT american_scientific_journal-2922 148 29 example example NOUN american_scientific_journal-2922 148 30 : : PUNCT american_scientific_journal-2922 148 31 suppose suppose VERB american_scientific_journal-2922 148 32 , , PUNCT american_scientific_journal-2922 148 33 ๐‘ฅ๐‘ฅ1 ๐‘ฅ๐‘ฅ1 NOUN american_scientific_journal-2922 148 34 ๐‘ฅ๐‘ฅ2 ๐‘ฅ๐‘ฅ2 NOUN american_scientific_journal-2922 148 35 ๐‘ฅ๐‘ฅ3 ๐‘ฅ๐‘ฅ3 PROPN american_scientific_journal-2922 148 36 ๐‘…๐‘… ๐‘…๐‘… PROPN american_scientific_journal-2922 148 37 = = PUNCT american_scientific_journal-2922 148 38 ๐‘ฅ๐‘ฅ1 ๐‘ฅ๐‘ฅ1 NOUN american_scientific_journal-2922 148 39 ๐‘ฅ๐‘ฅ2 ๐‘ฅ๐‘ฅ2 NOUN american_scientific_journal-2922 148 40 ๐‘ฅ๐‘ฅ3 ๐‘ฅ๐‘ฅ3 PROPN american_scientific_journal-2922 148 41 ๏ฟฝ ๏ฟฝ PROPN american_scientific_journal-2922 149 1 1 1 NUM american_scientific_journal-2922 149 2 0 0 NUM american_scientific_journal-2922 149 3 0 0 NUM american_scientific_journal-2922 149 4 0 0 NUM american_scientific_journal-2922 149 5 1 1 NUM american_scientific_journal-2922 149 6 . . PUNCT american_scientific_journal-2922 150 1 6 6 NUM american_scientific_journal-2922 150 2 0 0 NUM american_scientific_journal-2922 150 3 . . PUNCT american_scientific_journal-2922 151 1 6 6 NUM american_scientific_journal-2922 151 2 1 1 NUM american_scientific_journal-2922 151 3 ๏ฟฝ ๏ฟฝ PROPN american_scientific_journal-2922 151 4 for for ADP american_scientific_journal-2922 151 5 reflexivity reflexivity NOUN american_scientific_journal-2922 151 6 , , PUNCT american_scientific_journal-2922 151 7 american american ADJ american_scientific_journal-2922 151 8 scientific scientific ADJ american_scientific_journal-2922 151 9 research research NOUN american_scientific_journal-2922 151 10 journal journal NOUN american_scientific_journal-2922 151 11 for for ADP american_scientific_journal-2922 151 12 engineering engineering NOUN american_scientific_journal-2922 151 13 , , PUNCT american_scientific_journal-2922 151 14 technology technology NOUN american_scientific_journal-2922 151 15 , , PUNCT american_scientific_journal-2922 151 16 and and CCONJ american_scientific_journal-2922 151 17 sciences science NOUN american_scientific_journal-2922 151 18 ( ( PUNCT american_scientific_journal-2922 151 19 asrjets asrjet NOUN american_scientific_journal-2922 151 20 ) ) PUNCT american_scientific_journal-2922 151 21 ( ( PUNCT american_scientific_journal-2922 151 22 2017 2017 NUM american_scientific_journal-2922 151 23 ) ) PUNCT american_scientific_journal-2922 151 24 volume volume NOUN american_scientific_journal-2922 151 25 31 31 NUM american_scientific_journal-2922 151 26 , , PUNCT american_scientific_journal-2922 151 27 no no DET american_scientific_journal-2922 151 28 1 1 NUM american_scientific_journal-2922 151 29 , , PUNCT american_scientific_journal-2922 151 30 pp pp ADV american_scientific_journal-2922 151 31 240 240 NUM american_scientific_journal-2922 151 32 - - SYM american_scientific_journal-2922 151 33 248 248 NUM american_scientific_journal-2922 151 34 247 247 NUM american_scientific_journal-2922 151 35 ๐‘…๐‘…(๐‘ฅ๐‘ฅ1 ๐‘…๐‘…(๐‘ฅ๐‘ฅ1 NOUN american_scientific_journal-2922 151 36 , , PUNCT american_scientific_journal-2922 151 37 ๐‘ฅ๐‘ฅ1 ๐‘ฅ๐‘ฅ1 NOUN american_scientific_journal-2922 151 38 ) ) PUNCT american_scientific_journal-2922 151 39 = = SYM american_scientific_journal-2922 151 40 1 1 NUM american_scientific_journal-2922 151 41 ๐‘…๐‘…(๐‘ฅ๐‘ฅ2 ๐‘…๐‘…(๐‘ฅ๐‘ฅ2 NOUN american_scientific_journal-2922 151 42 , , PUNCT american_scientific_journal-2922 151 43 ๐‘ฅ๐‘ฅ2 ๐‘ฅ๐‘ฅ2 ADV american_scientific_journal-2922 151 44 ) ) PUNCT american_scientific_journal-2922 151 45 = = SYM american_scientific_journal-2922 151 46 1 1 NUM american_scientific_journal-2922 151 47 ๐‘…๐‘…(๐‘ฅ๐‘ฅ3 ๐‘…๐‘…(๐‘ฅ๐‘ฅ3 NOUN american_scientific_journal-2922 151 48 , , PUNCT american_scientific_journal-2922 151 49 ๐‘ฅ๐‘ฅ3 ๐‘ฅ๐‘ฅ3 X american_scientific_journal-2922 151 50 ) ) PUNCT american_scientific_journal-2922 151 51 = = SYM american_scientific_journal-2922 152 1 1 1 NUM american_scientific_journal-2922 152 2 therefore therefore ADV american_scientific_journal-2922 152 3 , , PUNCT american_scientific_journal-2922 152 4 ๐‘…๐‘… ๐‘…๐‘… PROPN american_scientific_journal-2922 152 5 is be AUX american_scientific_journal-2922 152 6 reflexive reflexive ADJ american_scientific_journal-2922 152 7 . . PUNCT american_scientific_journal-2922 153 1 for for ADP american_scientific_journal-2922 153 2 symmetry symmetry NOUN american_scientific_journal-2922 153 3 , , PUNCT american_scientific_journal-2922 153 4 ๐‘…๐‘…(๐‘ฅ๐‘ฅ1 ๐‘…๐‘…(๐‘ฅ๐‘ฅ1 PRON american_scientific_journal-2922 153 5 , , PUNCT american_scientific_journal-2922 153 6 ๐‘ฅ๐‘ฅ2 ๐‘ฅ๐‘ฅ2 ADV american_scientific_journal-2922 153 7 ) ) PUNCT american_scientific_journal-2922 153 8 = = SYM american_scientific_journal-2922 153 9 ๐‘…๐‘…(๐‘ฅ๐‘ฅ2 ๐‘…๐‘…(๐‘ฅ๐‘ฅ2 ADP american_scientific_journal-2922 153 10 , , PUNCT american_scientific_journal-2922 153 11 ๐‘ฅ๐‘ฅ1 ๐‘ฅ๐‘ฅ1 NOUN american_scientific_journal-2922 153 12 ) ) PUNCT american_scientific_journal-2922 153 13 = = SYM american_scientific_journal-2922 153 14 0 0 NUM american_scientific_journal-2922 153 15 ๐‘…๐‘…(๐‘ฅ๐‘ฅ1 ๐‘…๐‘…(๐‘ฅ๐‘ฅ1 X american_scientific_journal-2922 153 16 , , PUNCT american_scientific_journal-2922 153 17 ๐‘ฅ๐‘ฅ3 ๐‘ฅ๐‘ฅ3 X american_scientific_journal-2922 153 18 ) ) PUNCT american_scientific_journal-2922 153 19 = = SYM american_scientific_journal-2922 153 20 ๐‘…๐‘…(๐‘ฅ๐‘ฅ3 ๐‘…๐‘…(๐‘ฅ๐‘ฅ3 NOUN american_scientific_journal-2922 153 21 , , PUNCT american_scientific_journal-2922 153 22 ๐‘ฅ๐‘ฅ1 ๐‘ฅ๐‘ฅ1 NOUN american_scientific_journal-2922 153 23 ) ) PUNCT american_scientific_journal-2922 153 24 = = SYM american_scientific_journal-2922 153 25 0 0 NUM american_scientific_journal-2922 153 26 ๐‘…๐‘…(๐‘ฅ๐‘ฅ2 ๐‘…๐‘…(๐‘ฅ๐‘ฅ2 NOUN american_scientific_journal-2922 153 27 , , PUNCT american_scientific_journal-2922 153 28 ๐‘ฅ๐‘ฅ3 ๐‘ฅ๐‘ฅ3 PROPN american_scientific_journal-2922 153 29 ) ) PUNCT american_scientific_journal-2922 153 30 = = SYM american_scientific_journal-2922 153 31 ๐‘…๐‘…(๐‘ฅ๐‘ฅ3 ๐‘…๐‘…(๐‘ฅ๐‘ฅ3 NOUN american_scientific_journal-2922 153 32 , , PUNCT american_scientific_journal-2922 153 33 ๐‘ฅ๐‘ฅ2 ๐‘ฅ๐‘ฅ2 X american_scientific_journal-2922 153 34 ) ) PUNCT american_scientific_journal-2922 153 35 = = SYM american_scientific_journal-2922 154 1 .6 .6 NUM american_scientific_journal-2922 154 2 therefore therefore ADV american_scientific_journal-2922 154 3 , , PUNCT american_scientific_journal-2922 154 4 ๐‘…๐‘… ๐‘…๐‘… PROPN american_scientific_journal-2922 154 5 is be AUX american_scientific_journal-2922 154 6 symmetric symmetric ADJ american_scientific_journal-2922 154 7 . . PUNCT american_scientific_journal-2922 155 1 for for ADP american_scientific_journal-2922 155 2 transitivity transitivity NOUN american_scientific_journal-2922 155 3 , , PUNCT american_scientific_journal-2922 155 4 ๐‘…๐‘… ๐‘…๐‘… PROPN american_scientific_journal-2922 155 5 = = SYM american_scientific_journal-2922 155 6 ๏ฟฝ ๏ฟฝ PROPN american_scientific_journal-2922 156 1 1 1 NUM american_scientific_journal-2922 156 2 0 0 NUM american_scientific_journal-2922 156 3 0 0 NUM american_scientific_journal-2922 156 4 0 0 NUM american_scientific_journal-2922 156 5 1 1 NUM american_scientific_journal-2922 156 6 . . PUNCT american_scientific_journal-2922 157 1 6 6 NUM american_scientific_journal-2922 157 2 0 0 NUM american_scientific_journal-2922 157 3 . . PUNCT american_scientific_journal-2922 158 1 6 6 NUM american_scientific_journal-2922 158 2 1 1 NUM american_scientific_journal-2922 158 3 ๏ฟฝ ๏ฟฝ NOUN american_scientific_journal-2922 158 4 now now ADV american_scientific_journal-2922 158 5 , , PUNCT american_scientific_journal-2922 158 6 ๐‘…๐‘…๐‘ฆ๐‘ฆ๐‘…๐‘… ๐‘…๐‘…๐‘ฆ๐‘ฆ๐‘…๐‘… PROPN american_scientific_journal-2922 158 7 = = SYM american_scientific_journal-2922 158 8 ๏ฟฝ ๏ฟฝ PROPN american_scientific_journal-2922 158 9 1 1 NUM american_scientific_journal-2922 158 10 0 0 NUM american_scientific_journal-2922 158 11 0 0 NUM american_scientific_journal-2922 158 12 0 0 NUM american_scientific_journal-2922 158 13 1 1 NUM american_scientific_journal-2922 158 14 . . PUNCT american_scientific_journal-2922 158 15 6 6 NUM american_scientific_journal-2922 158 16 0 0 NUM american_scientific_journal-2922 158 17 . . PUNCT american_scientific_journal-2922 158 18 6 6 NUM american_scientific_journal-2922 158 19 1 1 NUM american_scientific_journal-2922 158 20 ๏ฟฝ ๏ฟฝ PROPN american_scientific_journal-2922 158 21 o o X american_scientific_journal-2922 158 22 ๏ฟฝ ๏ฟฝ PROPN american_scientific_journal-2922 158 23 1 1 NUM american_scientific_journal-2922 158 24 0 0 NUM american_scientific_journal-2922 158 25 0 0 NUM american_scientific_journal-2922 158 26 0 0 NUM american_scientific_journal-2922 158 27 1 1 NUM american_scientific_journal-2922 158 28 . . PUNCT american_scientific_journal-2922 158 29 6 6 NUM american_scientific_journal-2922 158 30 0 0 NUM american_scientific_journal-2922 158 31 . . PUNCT american_scientific_journal-2922 158 32 6 6 NUM american_scientific_journal-2922 158 33 1 1 NUM american_scientific_journal-2922 158 34 ๏ฟฝ ๏ฟฝ PROPN american_scientific_journal-2922 158 35 = = SYM american_scientific_journal-2922 158 36 ๏ฟฝ ๏ฟฝ PROPN american_scientific_journal-2922 158 37 โˆจ โˆจ NUM american_scientific_journal-2922 158 38 ( ( PUNCT american_scientific_journal-2922 158 39 1 1 NUM american_scientific_journal-2922 158 40 โˆง โˆง PROPN american_scientific_journal-2922 158 41 1 1 NUM american_scientific_journal-2922 158 42 , , PUNCT american_scientific_journal-2922 158 43 0 0 NUM american_scientific_journal-2922 158 44 โˆง โˆง PROPN american_scientific_journal-2922 158 45 0 0 NUM american_scientific_journal-2922 158 46 , , PUNCT american_scientific_journal-2922 158 47 0 0 NUM american_scientific_journal-2922 158 48 โˆง โˆง NOUN american_scientific_journal-2922 158 49 0 0 NUM american_scientific_journal-2922 158 50 ) ) PUNCT american_scientific_journal-2922 158 51 โˆจ โˆจ NOUN american_scientific_journal-2922 158 52 ( ( PUNCT american_scientific_journal-2922 158 53 1 1 NUM american_scientific_journal-2922 158 54 โˆง โˆง PROPN american_scientific_journal-2922 158 55 0 0 NUM american_scientific_journal-2922 158 56 , , PUNCT american_scientific_journal-2922 158 57 0 0 NUM american_scientific_journal-2922 159 1 โˆง โˆง PROPN american_scientific_journal-2922 159 2 1 1 NUM american_scientific_journal-2922 159 3 , , PUNCT american_scientific_journal-2922 159 4 0 0 NUM american_scientific_journal-2922 159 5 โˆง โˆง PROPN american_scientific_journal-2922 159 6 .6 .6 NUM american_scientific_journal-2922 159 7 ) ) PUNCT american_scientific_journal-2922 159 8 โˆจ โˆจ PROPN american_scientific_journal-2922 159 9 ( ( PUNCT american_scientific_journal-2922 159 10 1 1 NUM american_scientific_journal-2922 159 11 โˆง โˆง PROPN american_scientific_journal-2922 159 12 0 0 NUM american_scientific_journal-2922 159 13 , , PUNCT american_scientific_journal-2922 159 14 0 0 NUM american_scientific_journal-2922 159 15 โˆง โˆง PROPN american_scientific_journal-2922 159 16 0 0 NUM american_scientific_journal-2922 159 17 , , PUNCT american_scientific_journal-2922 159 18 0 0 NUM american_scientific_journal-2922 159 19 โˆง โˆง NOUN american_scientific_journal-2922 159 20 0 0 NUM american_scientific_journal-2922 159 21 ) ) PUNCT american_scientific_journal-2922 159 22 โˆจ โˆจ NOUN american_scientific_journal-2922 159 23 ( ( PUNCT american_scientific_journal-2922 159 24 0 0 NUM american_scientific_journal-2922 159 25 โˆง โˆง PROPN american_scientific_journal-2922 159 26 1 1 NUM american_scientific_journal-2922 159 27 , , PUNCT american_scientific_journal-2922 159 28 1 1 NUM american_scientific_journal-2922 159 29 โˆง โˆง PROPN american_scientific_journal-2922 159 30 0 0 NUM american_scientific_journal-2922 159 31 , , PUNCT american_scientific_journal-2922 159 32 .6 .6 NUM american_scientific_journal-2922 159 33 โˆง โˆง PROPN american_scientific_journal-2922 159 34 0 0 NUM american_scientific_journal-2922 159 35 ) ) PUNCT american_scientific_journal-2922 159 36 โˆจ โˆจ NOUN american_scientific_journal-2922 159 37 ( ( PUNCT american_scientific_journal-2922 159 38 0 0 NUM american_scientific_journal-2922 159 39 โˆง โˆง PROPN american_scientific_journal-2922 159 40 0 0 NUM american_scientific_journal-2922 159 41 , , PUNCT american_scientific_journal-2922 159 42 1 1 NUM american_scientific_journal-2922 159 43 โˆง โˆง PROPN american_scientific_journal-2922 159 44 1 1 NUM american_scientific_journal-2922 159 45 , , PUNCT american_scientific_journal-2922 159 46 .6 .6 NUM american_scientific_journal-2922 159 47 โˆง โˆง PROPN american_scientific_journal-2922 159 48 .6 .6 NUM american_scientific_journal-2922 159 49 ) ) PUNCT american_scientific_journal-2922 159 50 โˆจ โˆจ PROPN american_scientific_journal-2922 159 51 ( ( PUNCT american_scientific_journal-2922 159 52 0 0 NUM american_scientific_journal-2922 159 53 โˆง โˆง PROPN american_scientific_journal-2922 159 54 0 0 NUM american_scientific_journal-2922 159 55 , , PUNCT american_scientific_journal-2922 159 56 1 1 NUM american_scientific_journal-2922 159 57 โˆง โˆง PROPN american_scientific_journal-2922 159 58 .6 .6 PROPN american_scientific_journal-2922 159 59 , , PUNCT american_scientific_journal-2922 159 60 .6 .6 NUM american_scientific_journal-2922 159 61 โˆง โˆง PROPN american_scientific_journal-2922 159 62 1 1 NUM american_scientific_journal-2922 159 63 ) ) PUNCT american_scientific_journal-2922 159 64 โˆจ โˆจ NOUN american_scientific_journal-2922 159 65 ( ( PUNCT american_scientific_journal-2922 159 66 0 0 NUM american_scientific_journal-2922 159 67 โˆง โˆง PROPN american_scientific_journal-2922 159 68 1 1 NUM american_scientific_journal-2922 159 69 , , PUNCT american_scientific_journal-2922 159 70 .6 .6 NUM american_scientific_journal-2922 159 71 โˆง โˆง PROPN american_scientific_journal-2922 159 72 0 0 NUM american_scientific_journal-2922 159 73 , , PUNCT american_scientific_journal-2922 159 74 1 1 NUM american_scientific_journal-2922 159 75 โˆง โˆง PROPN american_scientific_journal-2922 159 76 0 0 NUM american_scientific_journal-2922 159 77 ) ) PUNCT american_scientific_journal-2922 159 78 โˆจ โˆจ NOUN american_scientific_journal-2922 159 79 ( ( PUNCT american_scientific_journal-2922 159 80 0 0 NUM american_scientific_journal-2922 159 81 โˆง โˆง PROPN american_scientific_journal-2922 159 82 0 0 NUM american_scientific_journal-2922 159 83 , , PUNCT american_scientific_journal-2922 159 84 .6 .6 NUM american_scientific_journal-2922 159 85 โˆง โˆง PROPN american_scientific_journal-2922 159 86 1 1 NUM american_scientific_journal-2922 159 87 , , PUNCT american_scientific_journal-2922 159 88 1 1 NUM american_scientific_journal-2922 159 89 โˆง โˆง PROPN american_scientific_journal-2922 159 90 .6 .6 NUM american_scientific_journal-2922 159 91 ) ) PUNCT american_scientific_journal-2922 159 92 โˆจ โˆจ PROPN american_scientific_journal-2922 159 93 ( ( PUNCT american_scientific_journal-2922 159 94 0 0 NUM american_scientific_journal-2922 159 95 โˆง โˆง PROPN american_scientific_journal-2922 159 96 0 0 NUM american_scientific_journal-2922 159 97 , , PUNCT american_scientific_journal-2922 159 98 .6 .6 NUM american_scientific_journal-2922 159 99 โˆง โˆง PROPN american_scientific_journal-2922 159 100 .6 .6 PROPN american_scientific_journal-2922 159 101 , , PUNCT american_scientific_journal-2922 159 102 1 1 NUM american_scientific_journal-2922 159 103 โˆง โˆง PROPN american_scientific_journal-2922 159 104 1 1 NUM american_scientific_journal-2922 159 105 ) ) PUNCT american_scientific_journal-2922 159 106 ๏ฟฝ ๏ฟฝ PROPN american_scientific_journal-2922 159 107 = = SYM american_scientific_journal-2922 159 108 ๏ฟฝ ๏ฟฝ PROPN american_scientific_journal-2922 159 109 โˆจ โˆจ NUM american_scientific_journal-2922 159 110 ( ( PUNCT american_scientific_journal-2922 159 111 1 1 NUM american_scientific_journal-2922 159 112 , , PUNCT american_scientific_journal-2922 159 113 0 0 NUM american_scientific_journal-2922 159 114 , , PUNCT american_scientific_journal-2922 159 115 0 0 NUM american_scientific_journal-2922 159 116 ) ) PUNCT american_scientific_journal-2922 159 117 โˆจ โˆจ NOUN american_scientific_journal-2922 159 118 ( ( PUNCT american_scientific_journal-2922 159 119 0 0 NUM american_scientific_journal-2922 159 120 , , PUNCT american_scientific_journal-2922 159 121 0 0 NUM american_scientific_journal-2922 159 122 , , PUNCT american_scientific_journal-2922 159 123 0 0 NUM american_scientific_journal-2922 159 124 ) ) PUNCT american_scientific_journal-2922 159 125 โˆจ โˆจ NOUN american_scientific_journal-2922 159 126 ( ( PUNCT american_scientific_journal-2922 159 127 0 0 NUM american_scientific_journal-2922 159 128 , , PUNCT american_scientific_journal-2922 159 129 0 0 NUM american_scientific_journal-2922 159 130 , , PUNCT american_scientific_journal-2922 159 131 0 0 NUM american_scientific_journal-2922 159 132 ) ) PUNCT american_scientific_journal-2922 159 133 โˆจ โˆจ NOUN american_scientific_journal-2922 159 134 ( ( PUNCT american_scientific_journal-2922 159 135 0 0 NUM american_scientific_journal-2922 159 136 , , PUNCT american_scientific_journal-2922 159 137 0 0 NUM american_scientific_journal-2922 159 138 , , PUNCT american_scientific_journal-2922 159 139 0 0 NUM american_scientific_journal-2922 159 140 ) ) PUNCT american_scientific_journal-2922 159 141 โˆจ โˆจ NOUN american_scientific_journal-2922 159 142 ( ( PUNCT american_scientific_journal-2922 159 143 0 0 NUM american_scientific_journal-2922 159 144 , , PUNCT american_scientific_journal-2922 159 145 1 1 NUM american_scientific_journal-2922 159 146 , , PUNCT american_scientific_journal-2922 159 147 .6 .6 NUM american_scientific_journal-2922 159 148 ) ) PUNCT american_scientific_journal-2922 159 149 โˆจ โˆจ NUM american_scientific_journal-2922 159 150 ( ( PUNCT american_scientific_journal-2922 159 151 0 0 NUM american_scientific_journal-2922 159 152 , , PUNCT american_scientific_journal-2922 159 153 .6 .6 NUM american_scientific_journal-2922 159 154 , , PUNCT american_scientific_journal-2922 159 155 .6 .6 NUM american_scientific_journal-2922 159 156 ) ) PUNCT american_scientific_journal-2922 159 157 โˆจ โˆจ X american_scientific_journal-2922 159 158 ( ( PUNCT american_scientific_journal-2922 159 159 0 0 NUM american_scientific_journal-2922 159 160 , , PUNCT american_scientific_journal-2922 159 161 0 0 NUM american_scientific_journal-2922 159 162 , , PUNCT american_scientific_journal-2922 159 163 0 0 NUM american_scientific_journal-2922 159 164 ) ) PUNCT american_scientific_journal-2922 159 165 โˆจ โˆจ NOUN american_scientific_journal-2922 159 166 ( ( PUNCT american_scientific_journal-2922 159 167 0 0 NUM american_scientific_journal-2922 159 168 , , PUNCT american_scientific_journal-2922 159 169 .6 .6 NUM american_scientific_journal-2922 159 170 , , PUNCT american_scientific_journal-2922 159 171 .6 .6 NUM american_scientific_journal-2922 159 172 ) ) PUNCT american_scientific_journal-2922 159 173 โˆจ โˆจ NUM american_scientific_journal-2922 159 174 ( ( PUNCT american_scientific_journal-2922 159 175 0 0 NUM american_scientific_journal-2922 159 176 , , PUNCT american_scientific_journal-2922 159 177 .6 .6 NUM american_scientific_journal-2922 159 178 , , PUNCT american_scientific_journal-2922 159 179 1 1 X american_scientific_journal-2922 159 180 ) ) PUNCT american_scientific_journal-2922 159 181 ๏ฟฝ ๏ฟฝ PROPN american_scientific_journal-2922 159 182 = = SYM american_scientific_journal-2922 159 183 ๏ฟฝ ๏ฟฝ PROPN american_scientific_journal-2922 159 184 1 1 NUM american_scientific_journal-2922 159 185 0 0 NUM american_scientific_journal-2922 159 186 0 0 NUM american_scientific_journal-2922 159 187 0 0 NUM american_scientific_journal-2922 159 188 1 1 NUM american_scientific_journal-2922 159 189 . . PUNCT american_scientific_journal-2922 159 190 6 6 NUM american_scientific_journal-2922 159 191 0 0 NUM american_scientific_journal-2922 159 192 . . PUNCT american_scientific_journal-2922 160 1 6 6 NUM american_scientific_journal-2922 160 2 1 1 NUM american_scientific_journal-2922 160 3 ๏ฟฝ ๏ฟฝ NOUN american_scientific_journal-2922 160 4 = = NOUN american_scientific_journal-2922 160 5 r r NOUN american_scientific_journal-2922 160 6 that that PRON american_scientific_journal-2922 160 7 is be AUX american_scientific_journal-2922 160 8 , , PUNCT american_scientific_journal-2922 160 9 ๐‘…๐‘…๐‘ฆ๐‘ฆ๐‘…๐‘… ๐‘…๐‘…๐‘ฆ๐‘ฆ๐‘…๐‘… PRON american_scientific_journal-2922 160 10 โ‰ฅ โ‰ฅ NOUN american_scientific_journal-2922 160 11 ๐‘…๐‘…. ๐‘…๐‘…. AUX american_scientific_journal-2922 161 1 so so ADV american_scientific_journal-2922 161 2 , , PUNCT american_scientific_journal-2922 161 3 ๐‘…๐‘… ๐‘…๐‘… PROPN american_scientific_journal-2922 161 4 is be AUX american_scientific_journal-2922 161 5 transitive transitive ADJ american_scientific_journal-2922 161 6 . . PUNCT american_scientific_journal-2922 162 1 since since SCONJ american_scientific_journal-2922 162 2 , , PUNCT american_scientific_journal-2922 162 3 the the DET american_scientific_journal-2922 162 4 relation relation NOUN american_scientific_journal-2922 162 5 ๐‘…๐‘… ๐‘…๐‘… PROPN american_scientific_journal-2922 162 6 satisfies satisfy VERB american_scientific_journal-2922 162 7 all all DET american_scientific_journal-2922 162 8 the the DET american_scientific_journal-2922 162 9 three three NUM american_scientific_journal-2922 162 10 conditions condition NOUN american_scientific_journal-2922 162 11 , , PUNCT american_scientific_journal-2922 162 12 it it PRON american_scientific_journal-2922 162 13 is be AUX american_scientific_journal-2922 162 14 an an DET american_scientific_journal-2922 162 15 equivalence equivalence NOUN american_scientific_journal-2922 162 16 relation relation NOUN american_scientific_journal-2922 162 17 . . PUNCT american_scientific_journal-2922 163 1 american american ADJ american_scientific_journal-2922 163 2 scientific scientific ADJ american_scientific_journal-2922 163 3 research research PROPN american_scientific_journal-2922 163 4 journal journal NOUN american_scientific_journal-2922 163 5 for for ADP american_scientific_journal-2922 163 6 engineering engineering NOUN american_scientific_journal-2922 163 7 , , PUNCT american_scientific_journal-2922 163 8 technology technology NOUN american_scientific_journal-2922 163 9 , , PUNCT american_scientific_journal-2922 163 10 and and CCONJ american_scientific_journal-2922 163 11 sciences science NOUN american_scientific_journal-2922 163 12 ( ( PUNCT american_scientific_journal-2922 163 13 asrjets asrjet NOUN american_scientific_journal-2922 163 14 ) ) PUNCT american_scientific_journal-2922 163 15 ( ( PUNCT american_scientific_journal-2922 163 16 2017 2017 NUM american_scientific_journal-2922 163 17 ) ) PUNCT american_scientific_journal-2922 163 18 volume volume NOUN american_scientific_journal-2922 163 19 31 31 NUM american_scientific_journal-2922 163 20 , , PUNCT american_scientific_journal-2922 163 21 no no DET american_scientific_journal-2922 163 22 1 1 NUM american_scientific_journal-2922 163 23 , , PUNCT american_scientific_journal-2922 163 24 pp pp ADV american_scientific_journal-2922 163 25 240 240 NUM american_scientific_journal-2922 163 26 - - SYM american_scientific_journal-2922 163 27 248 248 NUM american_scientific_journal-2922 163 28 248 248 NUM american_scientific_journal-2922 163 29 example example NOUN american_scientific_journal-2922 163 30 : : PUNCT american_scientific_journal-2922 163 31 consider consider VERB american_scientific_journal-2922 163 32 another another DET american_scientific_journal-2922 163 33 fuzzy fuzzy ADJ american_scientific_journal-2922 163 34 relation relation NOUN american_scientific_journal-2922 163 35 , , PUNCT american_scientific_journal-2922 163 36 ๐‘…๐‘… ๐‘…๐‘… PROPN american_scientific_journal-2922 163 37 = = SYM american_scientific_journal-2922 163 38 ๏ฟฝ ๏ฟฝ PROPN american_scientific_journal-2922 163 39 1 1 NUM american_scientific_journal-2922 163 40 0 0 NUM american_scientific_journal-2922 163 41 . . PUNCT american_scientific_journal-2922 164 1 6 6 NUM american_scientific_journal-2922 164 2 0 0 NUM american_scientific_journal-2922 164 3 1 1 NUM american_scientific_journal-2922 164 4 . . PUNCT american_scientific_journal-2922 165 1 3 3 NUM american_scientific_journal-2922 165 2 . . NOUN american_scientific_journal-2922 165 3 6 6 NUM american_scientific_journal-2922 165 4 . . NOUN american_scientific_journal-2922 165 5 3 3 NUM american_scientific_journal-2922 165 6 1 1 NUM american_scientific_journal-2922 165 7 ๏ฟฝ ๏ฟฝ PROPN american_scientific_journal-2922 165 8 . . PUNCT american_scientific_journal-2922 166 1 the the DET american_scientific_journal-2922 166 2 relation relation NOUN american_scientific_journal-2922 166 3 is be AUX american_scientific_journal-2922 166 4 not not PART american_scientific_journal-2922 166 5 equivalence equivalence NOUN american_scientific_journal-2922 166 6 relation relation NOUN american_scientific_journal-2922 166 7 , , PUNCT american_scientific_journal-2922 166 8 because because SCONJ american_scientific_journal-2922 166 9 it it PRON american_scientific_journal-2922 166 10 does do AUX american_scientific_journal-2922 166 11 nโ€™t not PART american_scientific_journal-2922 166 12 satisfy satisfy VERB american_scientific_journal-2922 166 13 the the DET american_scientific_journal-2922 166 14 condition condition NOUN american_scientific_journal-2922 166 15 of of ADP american_scientific_journal-2922 166 16 transitivity transitivity NOUN american_scientific_journal-2922 166 17 . . PUNCT american_scientific_journal-2922 167 1 5 5 X american_scientific_journal-2922 167 2 . . X american_scientific_journal-2922 167 3 conclusion conclusion NOUN american_scientific_journal-2922 167 4 fuzzy fuzzy ADJ american_scientific_journal-2922 167 5 relations relation NOUN american_scientific_journal-2922 167 6 generalize generalize VERB american_scientific_journal-2922 167 7 the the DET american_scientific_journal-2922 167 8 concept concept NOUN american_scientific_journal-2922 167 9 of of ADP american_scientific_journal-2922 167 10 classical classical ADJ american_scientific_journal-2922 167 11 relations relation NOUN american_scientific_journal-2922 167 12 in in ADP american_scientific_journal-2922 167 13 the the DET american_scientific_journal-2922 167 14 same same ADJ american_scientific_journal-2922 167 15 manner manner NOUN american_scientific_journal-2922 167 16 as as SCONJ american_scientific_journal-2922 167 17 fuzzy fuzzy ADJ american_scientific_journal-2922 167 18 sets set NOUN american_scientific_journal-2922 167 19 generalize generalize VERB american_scientific_journal-2922 167 20 the the DET american_scientific_journal-2922 167 21 concept concept NOUN american_scientific_journal-2922 167 22 of of ADP american_scientific_journal-2922 167 23 classical classical ADJ american_scientific_journal-2922 167 24 sets set NOUN american_scientific_journal-2922 167 25 . . PUNCT american_scientific_journal-2922 168 1 fuzzy fuzzy ADJ american_scientific_journal-2922 168 2 set set NOUN american_scientific_journal-2922 168 3 theory theory NOUN american_scientific_journal-2922 168 4 as as ADV american_scientific_journal-2922 168 5 well well ADV american_scientific_journal-2922 168 6 as as ADP american_scientific_journal-2922 168 7 fuzzy fuzzy ADJ american_scientific_journal-2922 168 8 relations relation NOUN american_scientific_journal-2922 168 9 has have VERB american_scientific_journal-2922 168 10 significant significant ADJ american_scientific_journal-2922 168 11 importance importance NOUN american_scientific_journal-2922 168 12 in in ADP american_scientific_journal-2922 168 13 mathematics mathematic NOUN american_scientific_journal-2922 168 14 and and CCONJ american_scientific_journal-2922 168 15 is be AUX american_scientific_journal-2922 168 16 being be AUX american_scientific_journal-2922 168 17 used use VERB american_scientific_journal-2922 168 18 widely widely ADV american_scientific_journal-2922 168 19 in in ADP american_scientific_journal-2922 168 20 many many ADJ american_scientific_journal-2922 168 21 areas area NOUN american_scientific_journal-2922 168 22 such such ADJ american_scientific_journal-2922 168 23 as as ADP american_scientific_journal-2922 168 24 clustering clustering NOUN american_scientific_journal-2922 168 25 , , PUNCT american_scientific_journal-2922 168 26 decision decision NOUN american_scientific_journal-2922 168 27 - - PUNCT american_scientific_journal-2922 168 28 making making NOUN american_scientific_journal-2922 168 29 , , PUNCT american_scientific_journal-2922 168 30 medical medical ADJ american_scientific_journal-2922 168 31 diagnosis diagnosis NOUN american_scientific_journal-2922 168 32 , , PUNCT american_scientific_journal-2922 168 33 engineering engineering NOUN american_scientific_journal-2922 168 34 sector sector NOUN american_scientific_journal-2922 168 35 , , PUNCT american_scientific_journal-2922 168 36 stock stock NOUN american_scientific_journal-2922 168 37 market market NOUN american_scientific_journal-2922 168 38 , , PUNCT american_scientific_journal-2922 168 39 even even ADV american_scientific_journal-2922 168 40 in in ADP american_scientific_journal-2922 168 41 the the DET american_scientific_journal-2922 168 42 cricket cricket NOUN american_scientific_journal-2922 168 43 field field NOUN american_scientific_journal-2922 168 44 to to PART american_scientific_journal-2922 168 45 predict predict VERB american_scientific_journal-2922 168 46 score score NOUN american_scientific_journal-2922 168 47 . . PUNCT american_scientific_journal-2922 169 1 references reference NOUN american_scientific_journal-2922 169 2 [ [ X american_scientific_journal-2922 169 3 1 1 NUM american_scientific_journal-2922 169 4 ] ] PUNCT american_scientific_journal-2922 169 5 l. l. PROPN american_scientific_journal-2922 169 6 a. a. PROPN american_scientific_journal-2922 169 7 zadeh zadeh PROPN american_scientific_journal-2922 169 8 , , PUNCT american_scientific_journal-2922 169 9 , , PUNCT american_scientific_journal-2922 169 10 fuzzy fuzzy ADJ american_scientific_journal-2922 169 11 sets set NOUN american_scientific_journal-2922 169 12 , , PUNCT american_scientific_journal-2922 169 13 information information NOUN american_scientific_journal-2922 169 14 and and CCONJ american_scientific_journal-2922 169 15 control control NOUN american_scientific_journal-2922 169 16 , , PUNCT american_scientific_journal-2922 169 17 8(1965 8(1965 NUM american_scientific_journal-2922 169 18 ) ) PUNCT american_scientific_journal-2922 169 19 338 338 NUM american_scientific_journal-2922 169 20 - - SYM american_scientific_journal-2922 169 21 353 353 NUM american_scientific_journal-2922 169 22 . . PUNCT american_scientific_journal-2922 170 1 [ [ X american_scientific_journal-2922 170 2 2 2 NUM american_scientific_journal-2922 170 3 ] ] PUNCT american_scientific_journal-2922 170 4 george george PROPN american_scientific_journal-2922 170 5 j j PROPN american_scientific_journal-2922 170 6 , , PUNCT american_scientific_journal-2922 170 7 klir klir ADJ american_scientific_journal-2922 170 8 , , PUNCT american_scientific_journal-2922 170 9 bo bo PROPN american_scientific_journal-2922 170 10 yuan yuan PROPN american_scientific_journal-2922 170 11 , , PUNCT american_scientific_journal-2922 170 12 fuzzy fuzzy ADJ american_scientific_journal-2922 170 13 sets set NOUN american_scientific_journal-2922 170 14 and and CCONJ american_scientific_journal-2922 170 15 fuzzy fuzzy ADJ american_scientific_journal-2922 170 16 logic logic NOUN american_scientific_journal-2922 170 17 , , PUNCT american_scientific_journal-2922 170 18 theory theory NOUN american_scientific_journal-2922 170 19 and and CCONJ american_scientific_journal-2922 170 20 applications application NOUN american_scientific_journal-2922 170 21 , , PUNCT american_scientific_journal-2922 170 22 prentice prentice PROPN american_scientific_journal-2922 170 23 hall hall PROPN american_scientific_journal-2922 170 24 inc inc PROPN american_scientific_journal-2922 170 25 . . PROPN american_scientific_journal-2922 170 26 n.j n.j PROPN american_scientific_journal-2922 170 27 . . PROPN american_scientific_journal-2922 170 28 u.s.a u.s.a PROPN american_scientific_journal-2922 170 29 . . PROPN american_scientific_journal-2922 170 30 1995 1995 NUM american_scientific_journal-2922 170 31 . . PUNCT american_scientific_journal-2922 171 1 [ [ X american_scientific_journal-2922 171 2 3 3 X american_scientific_journal-2922 171 3 ] ] X american_scientific_journal-2922 171 4 h. h. PROPN american_scientific_journal-2922 171 5 j. j. PROPN american_scientific_journal-2922 171 6 zimmermann zimmermann PROPN american_scientific_journal-2922 171 7 , , PUNCT american_scientific_journal-2922 171 8 fuzzy fuzzy ADJ american_scientific_journal-2922 171 9 set set NOUN american_scientific_journal-2922 171 10 theory theory NOUN american_scientific_journal-2922 171 11 and and CCONJ american_scientific_journal-2922 171 12 its its PRON american_scientific_journal-2922 171 13 applications application NOUN american_scientific_journal-2922 171 14 , , PUNCT american_scientific_journal-2922 171 15 third third ADJ american_scientific_journal-2922 171 16 edition edition NOUN american_scientific_journal-2922 171 17 , , PUNCT american_scientific_journal-2922 171 18 kluwer kluwer NOUN american_scientific_journal-2922 171 19 academic academic ADJ american_scientific_journal-2922 171 20 publishers publisher NOUN american_scientific_journal-2922 171 21 , , PUNCT american_scientific_journal-2922 171 22 boston boston PROPN american_scientific_journal-2922 171 23 , , PUNCT american_scientific_journal-2922 171 24 u.s.a u.s.a PROPN american_scientific_journal-2922 171 25 . . PUNCT american_scientific_journal-2922 171 26 1995 1995 NUM american_scientific_journal-2922 172 1 [ [ X american_scientific_journal-2922 172 2 4 4 X american_scientific_journal-2922 172 3 ] ] X american_scientific_journal-2922 172 4 majid majid PROPN american_scientific_journal-2922 172 5 hussain hussain PROPN american_scientific_journal-2922 172 6 , , PUNCT american_scientific_journal-2922 172 7 fuzzy fuzzy ADJ american_scientific_journal-2922 172 8 relations relation NOUN american_scientific_journal-2922 172 9 , , PUNCT american_scientific_journal-2922 172 10 thesis thesis NOUN american_scientific_journal-2922 172 11 for for ADP american_scientific_journal-2922 172 12 the the DET american_scientific_journal-2922 172 13 degree degree NOUN american_scientific_journal-2922 172 14 master master NOUN american_scientific_journal-2922 172 15 of of ADP american_scientific_journal-2922 172 16 science science NOUN american_scientific_journal-2922 172 17 ( ( PUNCT american_scientific_journal-2922 172 18 two two NUM american_scientific_journal-2922 172 19 years year NOUN american_scientific_journal-2922 172 20 ) ) PUNCT american_scientific_journal-2922 172 21 in in ADP american_scientific_journal-2922 172 22 mathematical mathematical ADJ american_scientific_journal-2922 172 23 modeling modeling NOUN american_scientific_journal-2922 172 24 and and CCONJ american_scientific_journal-2922 172 25 simulation simulation NOUN american_scientific_journal-2922 172 26 , , PUNCT american_scientific_journal-2922 172 27 may may AUX american_scientific_journal-2922 172 28 2010 2010 NUM american_scientific_journal-2922 172 29 . . PUNCT american_scientific_journal-2922 173 1 [ [ X american_scientific_journal-2922 173 2 5 5 X american_scientific_journal-2922 173 3 ] ] X american_scientific_journal-2922 173 4 d. d. PROPN american_scientific_journal-2922 173 5 dubis dubis PROPN american_scientific_journal-2922 173 6 , , PUNCT american_scientific_journal-2922 173 7 h. h. PROPN american_scientific_journal-2922 173 8 prade prade PROPN american_scientific_journal-2922 173 9 , , PUNCT american_scientific_journal-2922 173 10 fuzzy fuzzy ADJ american_scientific_journal-2922 173 11 sets set NOUN american_scientific_journal-2922 173 12 and and CCONJ american_scientific_journal-2922 173 13 systems system NOUN american_scientific_journal-2922 173 14 , , PUNCT american_scientific_journal-2922 173 15 theory theory NOUN american_scientific_journal-2922 173 16 and and CCONJ american_scientific_journal-2922 173 17 applications application NOUN american_scientific_journal-2922 173 18 , , PUNCT american_scientific_journal-2922 173 19 new new PROPN american_scientific_journal-2922 173 20 york york PROPN american_scientific_journal-2922 173 21 , , PUNCT american_scientific_journal-2922 173 22 1980 1980 NUM american_scientific_journal-2922 173 23 . . PUNCT