id sid tid token lemma pos cana-790 1 1 communications communication NOUN cana-790 1 2 on on ADP cana-790 1 3 applied apply VERB cana-790 1 4 nonlinear nonlinear ADJ cana-790 1 5 analysis analysis NOUN cana-790 1 6 issn issn NOUN cana-790 1 7 : : PUNCT cana-790 1 8 1074 1074 NUM cana-790 1 9 - - PUNCT cana-790 1 10 133x 133x NUM cana-790 1 11 vol vol NOUN cana-790 1 12 31 31 NUM cana-790 1 13 no no NOUN cana-790 1 14 . . PUNCT cana-790 2 1 3s 3s NUM cana-790 2 2 ( ( PUNCT cana-790 2 3 2024 2024 NUM cana-790 2 4 ) ) PUNCT cana-790 2 5 405 405 NUM cana-790 2 6 https://internationalpubls.com https://internationalpubls.com X cana-790 2 7 autism autism NOUN cana-790 2 8 detection detection NOUN cana-790 2 9 using use VERB cana-790 2 10 fuzzy fuzzy ADJ cana-790 2 11 Ξ² Ξ² NOUN cana-790 2 12 - - ADJ cana-790 2 13 neighborhood neighborhood NOUN cana-790 2 14 based base VERB cana-790 2 15 soft soft ADJ cana-790 2 16 rough rough ADJ cana-790 2 17 sets set NOUN cana-790 2 18 praba praba NOUN cana-790 2 19 b1 b1 PROPN cana-790 2 20 , , PUNCT cana-790 2 21 balambal balambal ADJ cana-790 2 22 suryanarayanan2 suryanarayanan2 NOUN cana-790 2 23 1 1 NUM cana-790 2 24 department department NOUN cana-790 2 25 of of ADP cana-790 2 26 mathematics mathematic NOUN cana-790 2 27 , , PUNCT cana-790 2 28 sri sri PROPN cana-790 2 29 siva siva PROPN cana-790 2 30 subramaniya subramaniya PROPN cana-790 2 31 nadar nadar PROPN cana-790 2 32 college college PROPN cana-790 2 33 of of ADP cana-790 2 34 engineering engineering PROPN cana-790 2 35 , , PUNCT cana-790 2 36 kalavakkam603110 kalavakkam603110 PROPN cana-790 2 37 ; ; PUNCT cana-790 2 38 prabab@ssn.edu.in prabab@ssn.edu.in PROPN cana-790 2 39 2sri 2sri PROPN cana-790 2 40 siva siva PROPN cana-790 2 41 subramaniya subramaniya PROPN cana-790 2 42 nadar nadar PROPN cana-790 2 43 college college PROPN cana-790 2 44 of of ADP cana-790 2 45 engineering engineering PROPN cana-790 2 46 , , PUNCT cana-790 2 47 kalavakkam603110 kalavakkam603110 PROPN cana-790 2 48 ; ; PUNCT cana-790 2 49 balambal19013@ece.ssn.edu.in balambal19013@ece.ssn.edu.in NOUN cana-790 2 50 article article NOUN cana-790 2 51 history history NOUN cana-790 2 52 : : PUNCT cana-790 2 53 received receive VERB cana-790 2 54 : : PUNCT cana-790 2 55 14 14 NUM cana-790 2 56 - - PUNCT cana-790 2 57 04 04 NUM cana-790 2 58 - - PUNCT cana-790 2 59 2024 2024 NUM cana-790 2 60 revised revise VERB cana-790 2 61 : : PUNCT cana-790 2 62 29 29 NUM cana-790 2 63 - - SYM cana-790 2 64 05 05 NUM cana-790 2 65 - - PUNCT cana-790 2 66 2024 2024 NUM cana-790 2 67 accepted accept VERB cana-790 2 68 : : PUNCT cana-790 2 69 15 15 NUM cana-790 2 70 - - SYM cana-790 2 71 06 06 NUM cana-790 2 72 - - PUNCT cana-790 2 73 2024 2024 NUM cana-790 2 74 abstract abstract NOUN cana-790 2 75 : : PUNCT cana-790 2 76 autism autism NOUN cana-790 2 77 spectrum spectrum NOUN cana-790 2 78 disorder disorder NOUN cana-790 2 79 refers refer VERB cana-790 2 80 to to ADP cana-790 2 81 a a DET cana-790 2 82 variety variety NOUN cana-790 2 83 of of ADP cana-790 2 84 conditions condition NOUN cana-790 2 85 represented represent VERB cana-790 2 86 by by ADP cana-790 2 87 complications complication NOUN cana-790 2 88 in in ADP cana-790 2 89 social social ADJ cana-790 2 90 skills skill NOUN cana-790 2 91 , , PUNCT cana-790 2 92 limited limited ADJ cana-790 2 93 interests interest NOUN cana-790 2 94 and and CCONJ cana-790 2 95 communication communication NOUN cana-790 2 96 that that PRON cana-790 2 97 ’s ’ VERB cana-790 2 98 majoritarily majoritarily PROPN cana-790 2 99 non non ADJ cana-790 2 100 - - ADJ cana-790 2 101 verbal verbal ADJ cana-790 2 102 . . PUNCT cana-790 3 1 the the DET cana-790 3 2 early early ADJ cana-790 3 3 signs sign NOUN cana-790 3 4 and and CCONJ cana-790 3 5 symptoms symptom NOUN cana-790 3 6 of of ADP cana-790 3 7 the the DET cana-790 3 8 disorder disorder NOUN cana-790 3 9 were be AUX cana-790 3 10 found find VERB cana-790 3 11 to to PART cana-790 3 12 be be AUX cana-790 3 13 noticeable noticeable ADJ cana-790 3 14 at at ADP cana-790 3 15 a a DET cana-790 3 16 young young ADJ cana-790 3 17 age age NOUN cana-790 3 18 . . PUNCT cana-790 4 1 however however ADV cana-790 4 2 , , PUNCT cana-790 4 3 the the DET cana-790 4 4 clinical clinical ADJ cana-790 4 5 tests test NOUN cana-790 4 6 take take VERB cana-790 4 7 longer long ADJ cana-790 4 8 to to PART cana-790 4 9 diagnose diagnose VERB cana-790 4 10 and and CCONJ cana-790 4 11 come come VERB cana-790 4 12 at at ADP cana-790 4 13 a a DET cana-790 4 14 higher high ADJ cana-790 4 15 cost cost NOUN cana-790 4 16 . . PUNCT cana-790 5 1 as as ADP cana-790 5 2 a a DET cana-790 5 3 result result NOUN cana-790 5 4 , , PUNCT cana-790 5 5 in in ADP cana-790 5 6 recent recent ADJ cana-790 5 7 years year NOUN cana-790 5 8 , , PUNCT cana-790 5 9 several several ADJ cana-790 5 10 studies study NOUN cana-790 5 11 have have AUX cana-790 5 12 been be AUX cana-790 5 13 made make VERB cana-790 5 14 to to PART cana-790 5 15 enable enable VERB cana-790 5 16 autism autism NOUN cana-790 5 17 detection detection NOUN cana-790 5 18 through through ADP cana-790 5 19 early early ADJ cana-790 5 20 intervention intervention NOUN cana-790 5 21 . . PUNCT cana-790 6 1 rough rough ADJ cana-790 6 2 set set NOUN cana-790 6 3 theory theory NOUN cana-790 6 4 is be AUX cana-790 6 5 one one NUM cana-790 6 6 such such ADJ cana-790 6 7 efficient efficient ADJ cana-790 6 8 mathematical mathematical ADJ cana-790 6 9 tool tool NOUN cana-790 6 10 for for ADP cana-790 6 11 this this DET cana-790 6 12 application application NOUN cana-790 6 13 . . PUNCT cana-790 7 1 this this DET cana-790 7 2 paper paper NOUN cana-790 7 3 introduces introduce VERB cana-790 7 4 the the DET cana-790 7 5 concept concept NOUN cana-790 7 6 of of ADP cana-790 7 7 fuzzy fuzzy ADJ cana-790 7 8 𝛽-neighborhood 𝛽-neighborhood PROPN cana-790 7 9 based base VERB cana-790 7 10 soft soft ADJ cana-790 7 11 rough rough ADJ cana-790 7 12 sets set NOUN cana-790 7 13 ( ( PUNCT cana-790 7 14 𝛽 𝛽 NOUN cana-790 7 15 βˆ’ βˆ’ PROPN cana-790 7 16 𝑅𝑆 𝑅𝑆 PROPN cana-790 7 17 ) ) PUNCT cana-790 7 18 . . PUNCT cana-790 8 1 the the DET cana-790 8 2 major major ADJ cana-790 8 3 advantage advantage NOUN cana-790 8 4 of of ADP cana-790 8 5 introducing introduce VERB cana-790 8 6 this this DET cana-790 8 7 concept concept NOUN cana-790 8 8 lies lie VERB cana-790 8 9 in in ADP cana-790 8 10 the the DET cana-790 8 11 construction construction NOUN cana-790 8 12 of of ADP cana-790 8 13 fuzzy fuzzy ADJ cana-790 8 14 𝛽neighborhood 𝛽neighborhood NOUN cana-790 8 15 of of ADP cana-790 8 16 each each DET cana-790 8 17 object object NOUN cana-790 8 18 obtained obtain VERB cana-790 8 19 through through ADP cana-790 8 20 its its PRON cana-790 8 21 𝛽-reduct 𝛽-reduct NOUN cana-790 8 22 . . PUNCT cana-790 9 1 this this DET cana-790 9 2 neighborhood neighborhood NOUN cana-790 9 3 captures capture VERB cana-790 9 4 those those DET cana-790 9 5 objects object NOUN cana-790 9 6 having have VERB cana-790 9 7 similar similar ADJ cana-790 9 8 characteristics characteristic NOUN cana-790 9 9 with with ADP cana-790 9 10 respect respect NOUN cana-790 9 11 to to ADP cana-790 9 12 the the DET cana-790 9 13 significant significant ADJ cana-790 9 14 attributes attribute NOUN cana-790 9 15 . . PUNCT cana-790 10 1 the the DET cana-790 10 2 application application NOUN cana-790 10 3 of of ADP cana-790 10 4 this this DET cana-790 10 5 model model NOUN cana-790 10 6 is be AUX cana-790 10 7 highlighted highlight VERB cana-790 10 8 through through ADP cana-790 10 9 autism autism NOUN cana-790 10 10 detection detection NOUN cana-790 10 11 by by ADP cana-790 10 12 obtaining obtain VERB cana-790 10 13 the the DET cana-790 10 14 neighborhood neighborhood NOUN cana-790 10 15 of of ADP cana-790 10 16 the the DET cana-790 10 17 given give VERB cana-790 10 18 image image NOUN cana-790 10 19 . . PUNCT cana-790 11 1 the the DET cana-790 11 2 proposed propose VERB cana-790 11 3 model model NOUN cana-790 11 4 also also ADV cana-790 11 5 efficiently efficiently ADV cana-790 11 6 captures capture VERB cana-790 11 7 the the DET cana-790 11 8 various various ADJ cana-790 11 9 levels level NOUN cana-790 11 10 of of ADP cana-790 11 11 autism autism NOUN cana-790 11 12 with with ADP cana-790 11 13 great great ADJ cana-790 11 14 accuracy accuracy NOUN cana-790 11 15 . . PUNCT cana-790 12 1 the the DET cana-790 12 2 validation validation NOUN cana-790 12 3 is be AUX cana-790 12 4 carried carry VERB cana-790 12 5 out out ADP cana-790 12 6 by by ADP cana-790 12 7 taking take VERB cana-790 12 8 real real ADJ cana-790 12 9 time time NOUN cana-790 12 10 data datum NOUN cana-790 12 11 . . PUNCT cana-790 13 1 keywords keyword NOUN cana-790 13 2 : : PUNCT cana-790 13 3 autism autism NOUN cana-790 13 4 , , PUNCT cana-790 13 5 fuzzy fuzzy ADJ cana-790 13 6 sets set NOUN cana-790 13 7 , , PUNCT cana-790 13 8 rough rough ADJ cana-790 13 9 sets set NOUN cana-790 13 10 , , PUNCT cana-790 13 11 𝛽 𝛽 PROPN cana-790 13 12 βˆ’neighborhood βˆ’neighborhood PROPN cana-790 13 13 , , PUNCT cana-790 13 14 lower low ADJ cana-790 13 15 approximation approximation NOUN cana-790 13 16 , , PUNCT cana-790 13 17 upper upper ADJ cana-790 13 18 approximation approximation NOUN cana-790 13 19 . . PUNCT cana-790 14 1 1 1 X cana-790 14 2 . . X cana-790 14 3 introduction introduction NOUN cana-790 14 4 the the DET cana-790 14 5 uniqueness uniqueness NOUN cana-790 14 6 of of ADP cana-790 14 7 human human ADJ cana-790 14 8 beings being NOUN cana-790 14 9 as as SCONJ cana-790 14 10 contrasted contrast VERB cana-790 14 11 to to ADP cana-790 14 12 other other ADJ cana-790 14 13 primates primate NOUN cana-790 14 14 can can AUX cana-790 14 15 be be AUX cana-790 14 16 attributed attribute VERB cana-790 14 17 to to ADP cana-790 14 18 the the DET cana-790 14 19 fascinating fascinating ADJ cana-790 14 20 cognitive cognitive ADJ cana-790 14 21 functionalities functionality NOUN cana-790 14 22 and and CCONJ cana-790 14 23 mysteries mystery NOUN cana-790 14 24 of of ADP cana-790 14 25 the the DET cana-790 14 26 human human ADJ cana-790 14 27 brain brain NOUN cana-790 14 28 . . PUNCT cana-790 15 1 at at ADP cana-790 15 2 times time NOUN cana-790 15 3 , , PUNCT cana-790 15 4 damage damage NOUN cana-790 15 5 inflicted inflict VERB cana-790 15 6 to to ADP cana-790 15 7 a a DET cana-790 15 8 characteristic characteristic ADJ cana-790 15 9 part part NOUN cana-790 15 10 of of ADP cana-790 15 11 the the DET cana-790 15 12 brain brain NOUN cana-790 16 1 [ [ X cana-790 16 2 18 18 NUM cana-790 16 3 ] ] PUNCT cana-790 16 4 adds add VERB cana-790 16 5 to to ADP cana-790 16 6 the the DET cana-790 16 7 brain brain NOUN cana-790 16 8 ’s ’s PART cana-790 16 9 enigma enigma NOUN cana-790 16 10 , , PUNCT cana-790 16 11 resulting result VERB cana-790 16 12 in in ADP cana-790 16 13 intriguing intriguing ADJ cana-790 16 14 disorders disorder NOUN cana-790 16 15 where where SCONJ cana-790 16 16 a a DET cana-790 16 17 person person NOUN cana-790 16 18 sees see VERB cana-790 16 19 sounds sound NOUN cana-790 16 20 , , PUNCT cana-790 16 21 hears hear VERB cana-790 16 22 shapes shape NOUN cana-790 16 23 , , PUNCT cana-790 16 24 touches touch VERB cana-790 16 25 emotions emotion NOUN cana-790 16 26 , , PUNCT cana-790 16 27 and and CCONJ cana-790 16 28 feels feel VERB cana-790 16 29 limbs limb NOUN cana-790 16 30 [ [ X cana-790 16 31 15 15 NUM cana-790 16 32 ] ] PUNCT cana-790 16 33 . . PUNCT cana-790 17 1 the the DET cana-790 17 2 difficulties difficulty NOUN cana-790 17 3 in in ADP cana-790 17 4 cognitive cognitive ADJ cana-790 17 5 , , PUNCT cana-790 17 6 social social ADJ cana-790 17 7 , , PUNCT cana-790 17 8 and and CCONJ cana-790 17 9 emotional emotional ADJ cana-790 17 10 functioning functioning NOUN cana-790 17 11 , , PUNCT cana-790 17 12 influenced influence VERB cana-790 17 13 by by ADP cana-790 17 14 genetic genetic ADJ cana-790 17 15 and and CCONJ cana-790 17 16 environmental environmental ADJ cana-790 17 17 factors factor NOUN cana-790 17 18 give give VERB cana-790 17 19 rise rise NOUN cana-790 17 20 to to ADP cana-790 17 21 a a DET cana-790 17 22 collection collection NOUN cana-790 17 23 of of ADP cana-790 17 24 disorders disorder NOUN cana-790 17 25 called call VERB cana-790 17 26 neuro neuro NOUN cana-790 17 27 - - PUNCT cana-790 17 28 developmental developmental ADJ cana-790 17 29 disorders disorder NOUN cana-790 17 30 . . PUNCT cana-790 18 1 the the DET cana-790 18 2 most most ADV cana-790 18 3 known know VERB cana-790 18 4 neurodevelopmental neurodevelopmental ADJ cana-790 18 5 disorders disorder NOUN cana-790 18 6 include include VERB cana-790 18 7 adhd adhd NOUN cana-790 18 8 , , PUNCT cana-790 18 9 autism autism NOUN cana-790 18 10 , , PUNCT cana-790 18 11 mental mental ADJ cana-790 18 12 retardation retardation NOUN cana-790 18 13 , , PUNCT cana-790 18 14 cerebral cerebral ADJ cana-790 18 15 palsy palsy ADJ cana-790 18 16 , , PUNCT cana-790 18 17 and and CCONJ cana-790 18 18 control control NOUN cana-790 18 19 disorders disorder NOUN cana-790 18 20 . . PUNCT cana-790 19 1 of of ADP cana-790 19 2 these these PRON cana-790 19 3 , , PUNCT cana-790 19 4 autism autism NOUN cana-790 19 5 has have AUX cana-790 19 6 continued continue VERB cana-790 19 7 to to PART cana-790 19 8 enthral enthral VERB cana-790 19 9 and and CCONJ cana-790 19 10 puzzle puzzle VERB cana-790 19 11 modern modern ADJ cana-790 19 12 medicine medicine NOUN cana-790 19 13 , , PUNCT cana-790 19 14 becoming become VERB cana-790 19 15 an an DET cana-790 19 16 unknown unknown ADJ cana-790 19 17 frontier frontier NOUN cana-790 19 18 like like ADP cana-790 19 19 the the DET cana-790 19 20 brain brain NOUN cana-790 19 21 itself itself PRON cana-790 20 1 [ [ X cana-790 20 2 5 5 NUM cana-790 20 3 ] ] PUNCT cana-790 20 4 . . PUNCT cana-790 21 1 as as ADP cana-790 21 2 a a DET cana-790 21 3 spectrum spectrum NOUN cana-790 21 4 disorder disorder NOUN cana-790 21 5 where where SCONJ cana-790 21 6 every every DET cana-790 21 7 person person NOUN cana-790 21 8 with with ADP cana-790 21 9 autism autism NOUN cana-790 21 10 possesses possess VERB cana-790 21 11 a a DET cana-790 21 12 unique unique ADJ cana-790 21 13 set set NOUN cana-790 21 14 of of ADP cana-790 21 15 strengths strength NOUN cana-790 21 16 and and CCONJ cana-790 21 17 challenges challenge NOUN cana-790 21 18 , , PUNCT cana-790 21 19 the the DET cana-790 21 20 prospect prospect NOUN cana-790 21 21 of of ADP cana-790 21 22 autism autism NOUN cana-790 21 23 going go VERB cana-790 21 24 undiagnosed undiagnosed ADJ cana-790 21 25 due due ADP cana-790 21 26 to to ADP cana-790 21 27 mild mild ADJ cana-790 21 28 symptoms symptom NOUN cana-790 21 29 or or CCONJ cana-790 21 30 suppressed suppress VERB cana-790 21 31 exhibition exhibition NOUN cana-790 21 32 through through ADP cana-790 21 33 childhood childhood NOUN cana-790 21 34 and and CCONJ cana-790 21 35 getting getting AUX cana-790 21 36 misdiagnosed misdiagnose VERB cana-790 21 37 as as ADP cana-790 21 38 post post ADJ cana-790 21 39 - - ADJ cana-790 21 40 traumatic traumatic ADJ cana-790 21 41 stress stress NOUN cana-790 21 42 disorder disorder NOUN cana-790 21 43 in in ADP cana-790 21 44 cases case NOUN cana-790 21 45 of of ADP cana-790 21 46 traumainduced traumainduce VERB cana-790 21 47 autism autism NOUN cana-790 21 48 add add VERB cana-790 21 49 on on ADP cana-790 21 50 to to ADP cana-790 21 51 its its PRON cana-790 21 52 mystery mystery NOUN cana-790 21 53 . . PUNCT cana-790 22 1 increasing increase VERB cana-790 22 2 fascination fascination NOUN cana-790 22 3 and and CCONJ cana-790 22 4 research research NOUN cana-790 22 5 towards towards ADP cana-790 22 6 the the DET cana-790 22 7 subject subject NOUN cana-790 22 8 have have AUX cana-790 22 9 presented present VERB cana-790 22 10 a a DET cana-790 22 11 multitude multitude NOUN cana-790 22 12 of of ADP cana-790 22 13 possibilities possibility NOUN cana-790 22 14 to to PART cana-790 22 15 consider consider VERB cana-790 22 16 in in ADP cana-790 22 17 the the DET cana-790 22 18 diagnosis diagnosis NOUN cana-790 22 19 of of ADP cana-790 22 20 autism autism NOUN cana-790 22 21 . . PUNCT cana-790 23 1 autistic autistic ADJ cana-790 23 2 individuals individual NOUN cana-790 23 3 exhibit exhibit VERB cana-790 23 4 facial facial ADJ cana-790 23 5 signs sign NOUN cana-790 23 6 that that PRON cana-790 23 7 are be AUX cana-790 23 8 often often ADV cana-790 23 9 intuitive intuitive ADJ cana-790 23 10 [ [ X cana-790 23 11 8 8 NUM cana-790 23 12 , , PUNCT cana-790 23 13 20 20 NUM cana-790 23 14 , , PUNCT cana-790 23 15 21 21 NUM cana-790 23 16 ] ] PUNCT cana-790 23 17 , , PUNCT cana-790 23 18 resulting result VERB cana-790 23 19 in in ADP cana-790 23 20 the the DET cana-790 23 21 spilling spilling NOUN cana-790 23 22 of of ADP cana-790 23 23 expressions expression NOUN cana-790 23 24 inappropriate inappropriate ADJ cana-790 23 25 to to ADP cana-790 23 26 communications communication NOUN cana-790 23 27 on on ADP cana-790 23 28 applied apply VERB cana-790 23 29 nonlinear nonlinear ADJ cana-790 23 30 analysis analysis NOUN cana-790 23 31 issn issn NOUN cana-790 23 32 : : PUNCT cana-790 23 33 1074 1074 NUM cana-790 23 34 - - PUNCT cana-790 23 35 133x 133x NUM cana-790 23 36 vol vol NOUN cana-790 23 37 31 31 NUM cana-790 23 38 no no NOUN cana-790 23 39 . . PUNCT cana-790 24 1 3s 3s NUM cana-790 24 2 ( ( PUNCT cana-790 24 3 2024 2024 NUM cana-790 24 4 ) ) PUNCT cana-790 24 5 406 406 NUM cana-790 24 6 https://internationalpubls.com https://internationalpubls.com X cana-790 24 7 a a DET cana-790 24 8 situation situation NOUN cana-790 24 9 they they PRON cana-790 24 10 are be AUX cana-790 24 11 interacting interact VERB cana-790 24 12 with with ADP cana-790 24 13 . . PUNCT cana-790 25 1 this this DET cana-790 25 2 inability inability NOUN cana-790 25 3 of of ADP cana-790 25 4 autistic autistic ADJ cana-790 25 5 individuals individual NOUN cana-790 25 6 to to PART cana-790 25 7 convey convey VERB cana-790 25 8 appropriate appropriate ADJ cana-790 25 9 signals signal NOUN cana-790 25 10 and and CCONJ cana-790 25 11 emotions emotion NOUN cana-790 25 12 in in ADP cana-790 25 13 a a DET cana-790 25 14 conversation conversation NOUN cana-790 25 15 tends tend VERB cana-790 25 16 to to PART cana-790 25 17 hinder hinder VERB cana-790 25 18 their their PRON cana-790 25 19 capability capability NOUN cana-790 25 20 to to PART cana-790 25 21 appropriately appropriately ADV cana-790 25 22 communicate communicate VERB cana-790 25 23 with with ADP cana-790 25 24 the the DET cana-790 25 25 external external ADJ cana-790 25 26 environment environment NOUN cana-790 25 27 , , PUNCT cana-790 25 28 resulting result VERB cana-790 25 29 in in ADP cana-790 25 30 misunderstandings misunderstanding NOUN cana-790 25 31 to to PART cana-790 25 32 arise arise VERB cana-790 25 33 in in ADP cana-790 25 34 a a DET cana-790 25 35 relationship relationship NOUN cana-790 25 36 . . PUNCT cana-790 26 1 however however ADV cana-790 26 2 , , PUNCT cana-790 26 3 the the DET cana-790 26 4 face face NOUN cana-790 26 5 markers marker NOUN cana-790 26 6 that that PRON cana-790 26 7 engage engage VERB cana-790 26 8 in in ADP cana-790 26 9 the the DET cana-790 26 10 formation formation NOUN cana-790 26 11 of of ADP cana-790 26 12 such such ADJ cana-790 26 13 facial facial ADJ cana-790 26 14 expressions expression NOUN cana-790 26 15 hold hold VERB cana-790 26 16 the the DET cana-790 26 17 key key NOUN cana-790 26 18 to to PART cana-790 26 19 understand understand VERB cana-790 26 20 how how SCONJ cana-790 26 21 an an DET cana-790 26 22 autistic autistic ADJ cana-790 26 23 individual individual NOUN cana-790 26 24 differs differ VERB cana-790 26 25 extensively extensively ADV cana-790 26 26 from from ADP cana-790 26 27 their their PRON cana-790 26 28 normal normal ADJ cana-790 26 29 counterparts counterpart NOUN cana-790 26 30 [ [ X cana-790 26 31 1 1 NUM cana-790 26 32 ] ] PUNCT cana-790 26 33 , , PUNCT cana-790 26 34 thus thus ADV cana-790 26 35 offering offer VERB cana-790 26 36 an an DET cana-790 26 37 insight insight NOUN cana-790 26 38 into into ADP cana-790 26 39 understanding understand VERB cana-790 26 40 the the DET cana-790 26 41 nature nature NOUN cana-790 26 42 of of ADP cana-790 26 43 the the DET cana-790 26 44 cues cue NOUN cana-790 26 45 adopted adopt VERB cana-790 26 46 by by ADP cana-790 26 47 an an DET cana-790 26 48 autistic autistic ADJ cana-790 26 49 person person NOUN cana-790 26 50 . . PUNCT cana-790 27 1 studies study NOUN cana-790 27 2 have have AUX cana-790 27 3 been be AUX cana-790 27 4 done do VERB cana-790 27 5 to to PART cana-790 27 6 upgrade upgrade VERB cana-790 27 7 and and CCONJ cana-790 27 8 accelerate accelerate VERB cana-790 27 9 the the DET cana-790 27 10 diagnosis diagnosis NOUN cana-790 27 11 of of ADP cana-790 27 12 autism autism NOUN cana-790 27 13 spectrum spectrum NOUN cana-790 27 14 disorder disorder NOUN cana-790 27 15 ( ( PUNCT cana-790 27 16 asd asd NOUN cana-790 27 17 ) ) PUNCT cana-790 27 18 using use VERB cana-790 27 19 the the DET cana-790 27 20 techniques technique NOUN cana-790 27 21 of of ADP cana-790 27 22 machine machine NOUN cana-790 27 23 learning learning NOUN cana-790 27 24 . . PUNCT cana-790 28 1 the the DET cana-790 28 2 ultimate ultimate ADJ cana-790 28 3 objective objective NOUN cana-790 28 4 of of ADP cana-790 28 5 all all DET cana-790 28 6 these these DET cana-790 28 7 studies study NOUN cana-790 28 8 lies lie VERB cana-790 28 9 in in ADP cana-790 28 10 enabling enable VERB cana-790 28 11 a a DET cana-790 28 12 timely timely ADJ cana-790 28 13 intervention intervention NOUN cana-790 28 14 and and CCONJ cana-790 28 15 treatment treatment NOUN cana-790 28 16 by by ADP cana-790 28 17 aiding aid VERB cana-790 28 18 in in ADP cana-790 28 19 early early ADJ cana-790 28 20 asd asd NOUN cana-790 28 21 diagnosis diagnosis NOUN cana-790 28 22 . . PUNCT cana-790 29 1 while while SCONJ cana-790 29 2 praveena praveena NOUN cana-790 29 3 et et PROPN cana-790 29 4 al al PROPN cana-790 29 5 . . PUNCT cana-790 30 1 [ [ X cana-790 30 2 14 14 NUM cana-790 30 3 ] ] PUNCT cana-790 30 4 focused focus VERB cana-790 30 5 on on ADP cana-790 30 6 using use VERB cana-790 30 7 facial facial ADJ cana-790 30 8 image image NOUN cana-790 30 9 processing processing NOUN cana-790 30 10 to to PART cana-790 30 11 recognize recognize VERB cana-790 30 12 emotions emotion NOUN cana-790 30 13 and and CCONJ cana-790 30 14 predict predict VERB cana-790 30 15 asd asd PROPN cana-790 30 16 in in ADP cana-790 30 17 children child NOUN cana-790 30 18 , , PUNCT cana-790 30 19 vakadkar vakadkar NOUN cana-790 30 20 et et PROPN cana-790 30 21 al al PROPN cana-790 30 22 . . PUNCT cana-790 31 1 [ [ X cana-790 31 2 17 17 NUM cana-790 31 3 ] ] PUNCT cana-790 31 4 used use VERB cana-790 31 5 logistic logistic ADJ cana-790 31 6 regression regression NOUN cana-790 31 7 to to PART cana-790 31 8 identify identify VERB cana-790 31 9 asd asd NOUN cana-790 31 10 in in ADP cana-790 31 11 children child NOUN cana-790 31 12 during during ADP cana-790 31 13 early early ADJ cana-790 31 14 developmental developmental ADJ cana-790 31 15 stages stage NOUN cana-790 31 16 . . PUNCT cana-790 32 1 mujeeb mujeeb PROPN cana-790 32 2 rahman rahman PROPN cana-790 32 3 et et PROPN cana-790 32 4 al al PROPN cana-790 32 5 . . PUNCT cana-790 33 1 [ [ X cana-790 33 2 11 11 NUM cana-790 33 3 ] ] PUNCT cana-790 33 4 used use VERB cana-790 33 5 the the DET cana-790 33 6 static static ADJ cana-790 33 7 features feature NOUN cana-790 33 8 extracted extract VERB cana-790 33 9 from from ADP cana-790 33 10 the the DET cana-790 33 11 photographs photograph NOUN cana-790 33 12 of of ADP cana-790 33 13 autistic autistic ADJ cana-790 33 14 children child NOUN cana-790 33 15 to to PART cana-790 33 16 identify identify VERB cana-790 33 17 asd asd NOUN cana-790 33 18 by by ADP cana-790 33 19 utilizing utilize VERB cana-790 33 20 cnn cnn PROPN cana-790 33 21 and and CCONJ cana-790 33 22 dnn dnn PROPN cana-790 33 23 models model NOUN cana-790 33 24 . . PUNCT cana-790 34 1 several several ADJ cana-790 34 2 studies study NOUN cana-790 34 3 have have AUX cana-790 34 4 also also ADV cana-790 34 5 employed employ VERB cana-790 34 6 facial facial ADJ cana-790 34 7 features feature NOUN cana-790 34 8 for for ADP cana-790 34 9 asd asd NOUN cana-790 34 10 in in ADP cana-790 34 11 automated automate VERB cana-790 34 12 ml ml NOUN cana-790 34 13 models model NOUN cana-790 34 14 while while SCONJ cana-790 34 15 other other ADJ cana-790 34 16 studies study NOUN cana-790 34 17 leveraged leverage VERB cana-790 34 18 data datum NOUN cana-790 34 19 from from ADP cana-790 34 20 brain brain NOUN cana-790 34 21 neuroimaging neuroimaging NOUN cana-790 34 22 . . PUNCT cana-790 35 1 boughattas boughatta NOUN cana-790 35 2 et et PROPN cana-790 35 3 al al PROPN cana-790 35 4 . . PUNCT cana-790 36 1 [ [ X cana-790 36 2 2 2 NUM cana-790 36 3 ] ] PUNCT cana-790 36 4 utilized utilize VERB cana-790 36 5 the the DET cana-790 36 6 abide abide NOUN cana-790 36 7 dataset dataset NOUN cana-790 36 8 containing contain VERB cana-790 36 9 functional functional ADJ cana-790 36 10 magnetic magnetic ADJ cana-790 36 11 resonance resonance NOUN cana-790 36 12 images image NOUN cana-790 36 13 ( ( PUNCT cana-790 36 14 fmri fmri NOUN cana-790 36 15 ) ) PUNCT cana-790 36 16 to to PART cana-790 36 17 detect detect VERB cana-790 36 18 asd asd NOUN cana-790 36 19 using use VERB cana-790 36 20 convolutional convolutional ADJ cana-790 36 21 neural neural ADJ cana-790 36 22 networks network NOUN cana-790 36 23 . . PUNCT cana-790 37 1 moridian moridian PROPN cana-790 37 2 et et PROPN cana-790 37 3 al al PROPN cana-790 37 4 . . PUNCT cana-790 38 1 [ [ X cana-790 38 2 10 10 NUM cana-790 38 3 ] ] X cana-790 38 4 reviews review VERB cana-790 38 5 several several ADJ cana-790 38 6 computer computer NOUN cana-790 38 7 - - PUNCT cana-790 38 8 aided aid VERB cana-790 38 9 diagnosis diagnosis NOUN cana-790 38 10 systems system NOUN cana-790 38 11 developed develop VERB cana-790 38 12 for for ADP cana-790 38 13 automated automate VERB cana-790 38 14 diagnosis diagnosis NOUN cana-790 38 15 of of ADP cana-790 38 16 asd asd NOUN cana-790 38 17 using use VERB cana-790 38 18 mri mri NOUN cana-790 38 19 modalities modality NOUN cana-790 38 20 . . PUNCT cana-790 39 1 lamani lamani PROPN cana-790 39 2 et et PROPN cana-790 39 3 al al PROPN cana-790 39 4 . . PUNCT cana-790 40 1 [ [ X cana-790 40 2 7 7 X cana-790 40 3 ] ] PUNCT cana-790 40 4 employs employ VERB cana-790 40 5 a a DET cana-790 40 6 graph graph NOUN cana-790 40 7 convolutional convolutional ADJ cana-790 40 8 network network NOUN cana-790 40 9 classifier classifier NOUN cana-790 40 10 to to PART cana-790 40 11 determine determine VERB cana-790 40 12 whether whether SCONJ cana-790 40 13 an an DET cana-790 40 14 image image NOUN cana-790 40 15 depicts depict VERB cana-790 40 16 normal normal ADJ cana-790 40 17 or or CCONJ cana-790 40 18 autistic autistic ADJ cana-790 40 19 characteristics characteristic NOUN cana-790 40 20 and and CCONJ cana-790 40 21 the the DET cana-790 40 22 research research NOUN cana-790 40 23 of of ADP cana-790 40 24 emel emel PROPN cana-790 40 25 koc koc PROPN cana-790 40 26 et et PROPN cana-790 40 27 al al PROPN cana-790 40 28 . . PUNCT cana-790 41 1 [ [ X cana-790 41 2 3 3 X cana-790 41 3 ] ] X cana-790 41 4 aims aim VERB cana-790 41 5 to to PART cana-790 41 6 improve improve VERB cana-790 41 7 the the DET cana-790 41 8 diagnosis diagnosis NOUN cana-790 41 9 accuracy accuracy NOUN cana-790 41 10 of of ADP cana-790 41 11 asd asd NOUN cana-790 41 12 by by ADP cana-790 41 13 using use VERB cana-790 41 14 functional functional ADJ cana-790 41 15 magnetic magnetic ADJ cana-790 41 16 resonance resonance NOUN cana-790 41 17 imaging imaging NOUN cana-790 41 18 data datum NOUN cana-790 41 19 . . PUNCT cana-790 42 1 these these DET cana-790 42 2 studies study NOUN cana-790 42 3 show show VERB cana-790 42 4 that that SCONJ cana-790 42 5 an an DET cana-790 42 6 appropriate appropriate ADJ cana-790 42 7 mathematical mathematical ADJ cana-790 42 8 model model NOUN cana-790 42 9 is be AUX cana-790 42 10 significant significant ADJ cana-790 42 11 in in ADP cana-790 42 12 deriving derive VERB cana-790 42 13 a a DET cana-790 42 14 crucial crucial ADJ cana-790 42 15 conclusion conclusion NOUN cana-790 42 16 . . PUNCT cana-790 43 1 specifically specifically ADV cana-790 43 2 , , PUNCT cana-790 43 3 in in ADP cana-790 43 4 a a DET cana-790 43 5 growing grow VERB cana-790 43 6 area area NOUN cana-790 43 7 of of ADP cana-790 43 8 research research NOUN cana-790 43 9 where where SCONJ cana-790 43 10 one one NUM cana-790 43 11 utilizes utilize VERB cana-790 43 12 facial facial ADJ cana-790 43 13 features feature NOUN cana-790 43 14 for for ADP cana-790 43 15 the the DET cana-790 43 16 diagnosis diagnosis NOUN cana-790 43 17 of of ADP cana-790 43 18 autism autism NOUN cana-790 43 19 , , PUNCT cana-790 43 20 the the DET cana-790 43 21 need need NOUN cana-790 43 22 for for ADP cana-790 43 23 building build VERB cana-790 43 24 a a DET cana-790 43 25 model model NOUN cana-790 43 26 that that PRON cana-790 43 27 ’s ’ VERB cana-790 43 28 accurate accurate ADJ cana-790 43 29 and and CCONJ cana-790 43 30 efficient efficient ADJ cana-790 43 31 is be AUX cana-790 43 32 imminent imminent ADJ cana-790 44 1 [ [ X cana-790 44 2 12 12 NUM cana-790 44 3 , , PUNCT cana-790 44 4 13 13 NUM cana-790 44 5 ] ] PUNCT cana-790 44 6 . . PUNCT cana-790 45 1 building build VERB cana-790 45 2 on on ADP cana-790 45 3 these these DET cana-790 45 4 trends trend NOUN cana-790 45 5 , , PUNCT cana-790 45 6 this this DET cana-790 45 7 paper paper NOUN cana-790 45 8 constructs construct VERB cana-790 45 9 a a DET cana-790 45 10 fuzzy fuzzy ADJ cana-790 45 11 π›½βˆ’neighborhood π›½βˆ’neighborhood X cana-790 45 12 based base VERB cana-790 45 13 soft soft ADJ cana-790 45 14 rough rough ADJ cana-790 45 15 set set NOUN cana-790 45 16 to to PART cana-790 45 17 detect detect VERB cana-790 45 18 autism autism NOUN cana-790 45 19 by by ADP cana-790 45 20 utilizing utilize VERB cana-790 45 21 crucial crucial ADJ cana-790 45 22 face face NOUN cana-790 45 23 landmarks landmark NOUN cana-790 45 24 . . PUNCT cana-790 46 1 2 2 X cana-790 46 2 . . X cana-790 46 3 fuzzy fuzzy ADJ cana-790 46 4 𝜷 𝜷 SYM cana-790 46 5 βˆ’neighborhood βˆ’neighborhood PUNCT cana-790 46 6 based base VERB cana-790 46 7 soft soft ADJ cana-790 46 8 rough rough ADJ cana-790 46 9 sets set NOUN cana-790 46 10 in in ADP cana-790 46 11 this this DET cana-790 46 12 section section NOUN cana-790 46 13 , , PUNCT cana-790 46 14 the the DET cana-790 46 15 concepts concept NOUN cana-790 46 16 of of ADP cana-790 46 17 𝛽-reduct 𝛽-reduct NOUN cana-790 46 18 , , PUNCT cana-790 46 19 fuzzy fuzzy ADJ cana-790 46 20 𝛽-neighborhood 𝛽-neighborhood PROPN cana-790 46 21 , , PUNCT cana-790 46 22 and and CCONJ cana-790 46 23 fuzzy fuzzy ADJ cana-790 46 24 𝛽-neighbourhood 𝛽-neighbourhood PROPN cana-790 46 25 - - PUNCT cana-790 46 26 based base VERB cana-790 46 27 soft soft ADJ cana-790 46 28 rough rough ADJ cana-790 46 29 set set NOUN cana-790 46 30 of of ADP cana-790 46 31 an an DET cana-790 46 32 object object NOUN cana-790 46 33 are be AUX cana-790 46 34 introduced introduce VERB cana-790 46 35 , , PUNCT cana-790 46 36 along along ADP cana-790 46 37 with with ADP cana-790 46 38 an an DET cana-790 46 39 illustrative illustrative ADJ cana-790 46 40 example example NOUN cana-790 46 41 for for ADP cana-790 46 42 each each PRON cana-790 46 43 . . PUNCT cana-790 47 1 definition definition NOUN cana-790 47 2 2.1 2.1 NUM cana-790 47 3 . . PUNCT cana-790 48 1 let let AUX cana-790 48 2 𝐼 𝐼 PROPN cana-790 48 3 = = SYM cana-790 48 4 ( ( PUNCT cana-790 48 5 π‘ˆ π‘ˆ PROPN cana-790 48 6 , , PUNCT cana-790 48 7 𝐴 𝐴 PROPN cana-790 48 8 , , PUNCT cana-790 48 9 𝐹 𝐹 PROPN cana-790 48 10 ) ) PUNCT cana-790 48 11 represent represent VERB cana-790 48 12 a a DET cana-790 48 13 covering covering NOUN cana-790 48 14 - - PUNCT cana-790 48 15 based base VERB cana-790 48 16 information information NOUN cana-790 48 17 system system NOUN cana-790 48 18 where where SCONJ cana-790 48 19 π‘ˆ π‘ˆ PROPN cana-790 48 20 is be AUX cana-790 48 21 a a DET cana-790 48 22 nonempty nonempty ADJ cana-790 48 23 finite finite ADJ cana-790 48 24 set set NOUN cana-790 48 25 of of ADP cana-790 48 26 objects object NOUN cana-790 48 27 called call VERB cana-790 48 28 the the DET cana-790 48 29 universal universal ADJ cana-790 48 30 set set NOUN cana-790 48 31 . . PUNCT cana-790 49 1 𝐴 𝐴 PROPN cana-790 49 2 is be AUX cana-790 49 3 the the DET cana-790 49 4 non non ADJ cana-790 49 5 - - ADJ cana-790 49 6 empty empty ADJ cana-790 49 7 finite finite NOUN cana-790 49 8 set set NOUN cana-790 49 9 of of ADP cana-790 49 10 attributes attribute NOUN cana-790 49 11 with with ADP cana-790 49 12 membership membership NOUN cana-790 49 13 function function NOUN cana-790 49 14 defined define VERB cana-790 49 15 by by ADP cana-790 49 16 πœ‡π‘Ž πœ‡π‘Ž ADP cana-790 49 17 : : PUNCT cana-790 49 18 π‘ˆ π‘ˆ PROPN cana-790 49 19 β†’ β†’ SYM cana-790 49 20 [ [ X cana-790 49 21 0,1 0,1 NUM cana-790 49 22 ] ] PUNCT cana-790 49 23 βˆ€π‘Ž βˆ€π‘Ž PROPN cana-790 49 24 ∈ ∈ PROPN cana-790 49 25 𝐴 𝐴 PROPN cana-790 49 26 and and CCONJ cana-790 49 27 𝐹 𝐹 PROPN cana-790 49 28 : : PUNCT cana-790 49 29 𝐴 𝐴 PROPN cana-790 49 30 β†’ β†’ SYM cana-790 49 31 𝒫(π‘ˆ 𝒫(π‘ˆ NOUN cana-790 49 32 ) ) PUNCT cana-790 49 33 defined define VERB cana-790 49 34 by by ADP cana-790 49 35 𝑭(𝒂 𝑭(𝒂 NOUN cana-790 49 36 ) ) PUNCT cana-790 49 37 = = PRON cana-790 50 1 { { PUNCT cana-790 50 2 𝒙 𝒙 PROPN cana-790 50 3 ∈ ∈ PROPN cana-790 50 4 𝑼 𝑼 NOUN cana-790 50 5 | | NOUN cana-790 50 6 𝝁𝒂(𝒙 𝝁𝒂(𝒙 PUNCT cana-790 50 7 ) ) PUNCT cana-790 50 8 ≀ ≀ NUM cana-790 50 9 πœΉπ’‚ πœΉπ’‚ PROPN cana-790 50 10 } } PUNCT cana-790 50 11 βˆ€π’‚ βˆ€π’‚ NOUN cana-790 50 12 ∈ ∈ PROPN cana-790 50 13 𝑨 𝑨 PROPN cana-790 50 14 f(a f(a PROPN cana-790 50 15 ) ) PUNCT cana-790 50 16 is be AUX cana-790 50 17 the the DET cana-790 50 18 set set NOUN cana-790 50 19 of of ADP cana-790 50 20 objects object NOUN cana-790 50 21 in in ADP cana-790 50 22 π‘ˆ π‘ˆ PROPN cana-790 50 23 possessing possess VERB cana-790 50 24 the the DET cana-790 50 25 attribute attribute NOUN cana-790 51 1 a a PRON cana-790 51 2 with with ADP cana-790 51 3 respect respect NOUN cana-790 51 4 to to ADP cana-790 51 5 a a DET cana-790 51 6 threshold threshold NOUN cana-790 51 7 π›Ώπ‘Ž π›Ώπ‘Ž ADP cana-790 51 8 such such ADJ cana-790 51 9 that that SCONJ cana-790 51 10 ⋃ ⋃ NOUN cana-790 51 11 𝐹(π‘Ž 𝐹(π‘Ž NUM cana-790 51 12 ) ) PUNCT cana-790 51 13 = = SYM cana-790 51 14 π‘ˆ π‘ˆ PROPN cana-790 51 15 π‘Žβˆˆπ΄ π‘Žβˆˆπ΄ PROPN cana-790 51 16 . . PUNCT cana-790 52 1 the the DET cana-790 52 2 choice choice NOUN cana-790 52 3 of of ADP cana-790 52 4 π›Ώπ‘Ž π›Ώπ‘Ž PROPN cana-790 52 5 is be AUX cana-790 52 6 made make VERB cana-790 52 7 following follow VERB cana-790 52 8 expert expert ADJ cana-790 52 9 insights insight NOUN cana-790 52 10 , , PUNCT cana-790 52 11 thorough thorough ADJ cana-790 52 12 experimenting experimenting NOUN cana-790 52 13 , , PUNCT cana-790 52 14 and and CCONJ cana-790 52 15 the the DET cana-790 52 16 observation observation NOUN cana-790 52 17 of of ADP cana-790 52 18 the the DET cana-790 52 19 system system NOUN cana-790 52 20 under under ADP cana-790 52 21 consideration consideration NOUN cana-790 52 22 . . PUNCT cana-790 53 1 definition definition NOUN cana-790 53 2 2.2 2.2 NUM cana-790 53 3 . . PUNCT cana-790 54 1 for for ADP cana-790 54 2 𝛽 𝛽 PROPN cana-790 54 3 ∈ ∈ PROPN cana-790 54 4 [ [ X cana-790 54 5 0,1 0,1 NUM cana-790 54 6 ] ] PUNCT cana-790 54 7 , , PUNCT cana-790 54 8 the the DET cana-790 54 9 𝛽-reduct 𝛽-reduct NOUN cana-790 54 10 , , PUNCT cana-790 54 11 𝑁𝛽(π‘₯ 𝑁𝛽(π‘₯ NOUN cana-790 54 12 ) ) PUNCT cana-790 54 13 of of ADP cana-790 54 14 an an DET cana-790 54 15 object object NOUN cana-790 54 16 π‘₯ π‘₯ NOUN cana-790 54 17 is be AUX cana-790 54 18 defined define VERB cana-790 54 19 as as ADP cana-790 54 20 π‘΅πœ·(𝒙 π‘΅πœ·(𝒙 PROPN cana-790 54 21 ) ) PUNCT cana-790 54 22 = = PRON cana-790 55 1 { { PUNCT cana-790 55 2 𝒂 𝒂 SYM cana-790 55 3 ∈ ∈ PROPN cana-790 55 4 𝑨 𝑨 NOUN cana-790 55 5 | | ADV cana-790 55 6 𝝁𝒂(𝒙 𝝁𝒂(𝒙 PUNCT cana-790 55 7 ) ) PUNCT cana-790 55 8 β‰₯ β‰₯ PROPN cana-790 55 9 𝜷 𝜷 NOUN cana-790 55 10 } } PUNCT cana-790 55 11 communications communication NOUN cana-790 55 12 on on ADP cana-790 55 13 applied apply VERB cana-790 55 14 nonlinear nonlinear ADJ cana-790 55 15 analysis analysis NOUN cana-790 55 16 issn issn NOUN cana-790 55 17 : : PUNCT cana-790 55 18 1074 1074 NUM cana-790 55 19 - - PUNCT cana-790 55 20 133x 133x NUM cana-790 55 21 vol vol NOUN cana-790 55 22 31 31 NUM cana-790 55 23 no no NOUN cana-790 55 24 . . PUNCT cana-790 56 1 3s 3s NUM cana-790 56 2 ( ( PUNCT cana-790 56 3 2024 2024 NUM cana-790 56 4 ) ) PUNCT cana-790 56 5 407 407 NUM cana-790 56 6 https://internationalpubls.com https://internationalpubls.com X cana-790 56 7 which which PRON cana-790 56 8 represents represent VERB cana-790 56 9 the the DET cana-790 56 10 set set NOUN cana-790 56 11 of of ADP cana-790 56 12 attributes attribute NOUN cana-790 56 13 playing play VERB cana-790 56 14 a a DET cana-790 56 15 significant significant ADJ cana-790 56 16 role role NOUN cana-790 56 17 on on ADP cana-790 56 18 π‘₯ π‘₯ NOUN cana-790 56 19 with with ADP cana-790 56 20 respect respect NOUN cana-790 56 21 to to ADP cana-790 56 22 𝛽. 𝛽. NOUN cana-790 56 23 definition definition NOUN cana-790 56 24 2.3 2.3 NUM cana-790 56 25 . . PUNCT cana-790 57 1 for for ADP cana-790 57 2 𝛽 𝛽 PROPN cana-790 57 3 ∈ ∈ PROPN cana-790 57 4 [ [ X cana-790 57 5 0,1 0,1 NUM cana-790 57 6 ] ] PUNCT cana-790 57 7 , , PUNCT cana-790 57 8 the the DET cana-790 57 9 fuzzy fuzzy ADJ cana-790 57 10 𝛽-neighborhood 𝛽-neighborhood PROPN cana-790 57 11 , , PUNCT cana-790 57 12 οΏ½ οΏ½ PROPN cana-790 57 13 Μƒ Μƒ PROPN cana-790 57 14 οΏ½ οΏ½ NOUN cana-790 57 15 𝛽(π‘₯ 𝛽(π‘₯ NOUN cana-790 57 16 ) ) PUNCT cana-790 57 17 of of ADP cana-790 57 18 an an DET cana-790 57 19 object object NOUN cana-790 57 20 π‘₯ π‘₯ NOUN cana-790 57 21 in in ADP cana-790 57 22 π‘ˆ π‘ˆ PROPN cana-790 57 23 is be AUX cana-790 57 24 defined define VERB cana-790 57 25 as as ADP cana-790 57 26 οΏ½ οΏ½ PROPN cana-790 57 27 Μƒ Μƒ PROPN cana-790 57 28 οΏ½ οΏ½ NOUN cana-790 57 29 𝜷(𝒙 𝜷(𝒙 NUM cana-790 57 30 ) ) PUNCT cana-790 58 1 = = PRON cana-790 58 2 { { PUNCT cana-790 58 3 π’š π’š PROPN cana-790 58 4 ∈ ∈ PROPN cana-790 58 5 𝑼 𝑼 PROPN cana-790 58 6 | | NOUN cana-790 58 7 𝝁𝒂(π’š 𝝁𝒂(π’š NUM cana-790 58 8 ) ) PUNCT cana-790 58 9 β‰₯ β‰₯ PROPN cana-790 58 10 𝜷 𝜷 NOUN cana-790 58 11 } } PUNCT cana-790 58 12 which which PRON cana-790 58 13 represents represent VERB cana-790 58 14 the the DET cana-790 58 15 set set NOUN cana-790 58 16 of of ADP cana-790 58 17 objects object NOUN cana-790 58 18 that that PRON cana-790 58 19 are be AUX cana-790 58 20 in in ADP cana-790 58 21 the the DET cana-790 58 22 neighborhood neighborhood NOUN cana-790 58 23 of of ADP cana-790 58 24 π‘₯ π‘₯ NOUN cana-790 58 25 with with ADP cana-790 58 26 respect respect NOUN cana-790 58 27 to to ADP cana-790 58 28 the the DET cana-790 58 29 𝛽-reduct 𝛽-reduct NOUN cana-790 58 30 of of ADP cana-790 58 31 π‘₯. π‘₯. ADJ cana-790 58 32 definition definition NOUN cana-790 58 33 2.4 2.4 NUM cana-790 58 34 . . PUNCT cana-790 59 1 the the DET cana-790 59 2 fuzzy fuzzy ADJ cana-790 59 3 𝛽-neighborhood 𝛽-neighborhood PROPN cana-790 59 4 based base VERB cana-790 59 5 soft soft ADJ cana-790 59 6 - - PUNCT cana-790 59 7 rough rough NOUN cana-790 59 8 set set NOUN cana-790 59 9 , , PUNCT cana-790 59 10 𝛽 𝛽 NOUN cana-790 59 11 βˆ’ βˆ’ PROPN cana-790 59 12 𝑅𝑆(π‘₯ 𝑅𝑆(π‘₯ NUM cana-790 59 13 ) ) PUNCT cana-790 59 14 of of ADP cana-790 59 15 the the DET cana-790 59 16 object object NOUN cana-790 59 17 π‘₯ π‘₯ ADP cana-790 59 18 belonging belong VERB cana-790 59 19 to to ADP cana-790 59 20 the the DET cana-790 59 21 universe universe ADJ cana-790 59 22 π‘ˆ π‘ˆ PROPN cana-790 59 23 is be AUX cana-790 59 24 defined define VERB cana-790 59 25 by by ADP cana-790 59 26 𝜷 𝜷 NOUN cana-790 59 27 βˆ’ βˆ’ PROPN cana-790 59 28 𝑹𝑺(𝒙 𝑹𝑺(𝒙 PROPN cana-790 59 29 ) ) PUNCT cana-790 60 1 = = PRON cana-790 60 2 ( ( PUNCT cana-790 60 3 οΏ½ οΏ½ PROPN cana-790 60 4 Μƒ Μƒ PROPN cana-790 60 5 οΏ½ οΏ½ PROPN cana-790 60 6 𝜷(𝒙)βˆ’ 𝜷(𝒙)βˆ’ PROPN cana-790 60 7 , , PUNCT cana-790 60 8 οΏ½ οΏ½ PROPN cana-790 60 9 Μƒ Μƒ PROPN cana-790 60 10 οΏ½ οΏ½ NOUN cana-790 60 11 𝜷(𝒙 𝜷(𝒙 NUM cana-790 60 12 ) ) PUNCT cana-790 60 13 – – PUNCT cana-790 60 14 ) ) PUNCT cana-790 60 15 where where SCONJ cana-790 60 16 , , PUNCT cana-790 60 17 οΏ½ οΏ½ PROPN cana-790 60 18 Μƒ Μƒ PROPN cana-790 60 19 οΏ½ οΏ½ NOUN cana-790 60 20 𝜷(𝒙 𝜷(𝒙 NUM cana-790 60 21 ) ) PUNCT cana-790 60 22 _ _ PUNCT cana-790 61 1 = = PUNCT cana-790 61 2 { { PUNCT cana-790 61 3 𝑭(𝒂 𝑭(𝒂 NOUN cana-790 61 4 ) ) PUNCT cana-790 61 5 | | ADV cana-790 61 6 𝑭(𝒂 𝑭(𝒂 NOUN cana-790 61 7 ) ) PUNCT cana-790 61 8 βŠ† βŠ† NUM cana-790 61 9 οΏ½ οΏ½ PROPN cana-790 61 10 Μƒ Μƒ PROPN cana-790 61 11 οΏ½ οΏ½ PROPN cana-790 61 12 𝜷(𝒙 𝜷(𝒙 NUM cana-790 61 13 ) ) PUNCT cana-790 61 14 , , PUNCT cana-790 61 15 𝒂 𝒂 PROPN cana-790 61 16 ∈ ∈ PROPN cana-790 61 17 π‘΅πœ·(𝒙 π‘΅πœ·(𝒙 PROPN cana-790 61 18 ) ) PUNCT cana-790 61 19 } } PUNCT cana-790 61 20 οΏ½ οΏ½ PROPN cana-790 61 21 Μƒ Μƒ PROPN cana-790 61 22 οΏ½ οΏ½ PROPN cana-790 61 23 𝜷(𝒙)βˆ’ 𝜷(𝒙)βˆ’ NOUN cana-790 61 24 = = PUNCT cana-790 61 25 { { PUNCT cana-790 61 26 𝑭(𝒂 𝑭(𝒂 NOUN cana-790 61 27 ) ) PUNCT cana-790 61 28 | | ADV cana-790 61 29 𝑭(𝒂 𝑭(𝒂 NOUN cana-790 61 30 ) ) PUNCT cana-790 61 31 ∩ ∩ PROPN cana-790 61 32 οΏ½ οΏ½ PROPN cana-790 61 33 Μƒ Μƒ PROPN cana-790 61 34 οΏ½ οΏ½ PROPN cana-790 61 35 𝜷(𝒙 𝜷(𝒙 NUM cana-790 61 36 ) ) PUNCT cana-790 61 37 β‰  β‰  PROPN cana-790 61 38 βˆ… βˆ… NOUN cana-790 61 39 , , PUNCT cana-790 61 40 𝒂 𝒂 PROPN cana-790 61 41 ∈ ∈ PROPN cana-790 61 42 π‘΅πœ·(𝒙 π‘΅πœ·(𝒙 PROPN cana-790 61 43 ) ) PUNCT cana-790 61 44 } } PUNCT cana-790 61 45 represent represent VERB cana-790 61 46 the the DET cana-790 61 47 lower low ADJ cana-790 61 48 approximation approximation NOUN cana-790 61 49 and and CCONJ cana-790 61 50 upper upper ADJ cana-790 61 51 approximation approximation NOUN cana-790 61 52 of of ADP cana-790 61 53 the the DET cana-790 61 54 fuzzy fuzzy ADJ cana-790 61 55 𝛽-neighborhood 𝛽-neighborhood PROPN cana-790 61 56 based base VERB cana-790 61 57 soft soft ADJ cana-790 61 58 rough rough ADJ cana-790 61 59 set set NOUN cana-790 61 60 of of ADP cana-790 61 61 the the DET cana-790 61 62 object object NOUN cana-790 61 63 π‘₯. π‘₯. VERB cana-790 61 64 the the DET cana-790 61 65 lower low ADJ cana-790 61 66 approximation approximation NOUN cana-790 61 67 space space NOUN cana-790 61 68 , , PUNCT cana-790 61 69 οΏ½ οΏ½ PROPN cana-790 61 70 Μƒ Μƒ PROPN cana-790 61 71 οΏ½ οΏ½ NOUN cana-790 61 72 𝛽(π‘₯ 𝛽(π‘₯ NOUN cana-790 61 73 ) ) PUNCT cana-790 61 74 _ _ NOUN cana-790 61 75 of of ADP cana-790 61 76 the the DET cana-790 61 77 object object NOUN cana-790 62 1 π‘₯ π‘₯ PART cana-790 62 2 contain contain VERB cana-790 62 3 those those DET cana-790 62 4 objects object NOUN cana-790 62 5 of of ADP cana-790 62 6 𝐹(π‘Ž 𝐹(π‘Ž NOUN cana-790 62 7 ) ) PUNCT cana-790 62 8 that that PRON cana-790 62 9 are be AUX cana-790 62 10 completely completely ADV cana-790 62 11 contained contain VERB cana-790 62 12 in in ADP cana-790 62 13 the the DET cana-790 62 14 fuzzy fuzzy ADJ cana-790 62 15 𝛽-neighborhood 𝛽-neighborhood NOUN cana-790 62 16 of of ADP cana-790 62 17 π‘₯ π‘₯ NOUN cana-790 62 18 for for ADP cana-790 62 19 every every DET cana-790 62 20 π‘Ž π‘Ž NOUN cana-790 62 21 that that PRON cana-790 62 22 belongs belong VERB cana-790 62 23 to to ADP cana-790 62 24 𝑁𝛽(π‘₯ 𝑁𝛽(π‘₯ PROPN cana-790 62 25 ) ) PUNCT cana-790 62 26 and and CCONJ cana-790 62 27 the the DET cana-790 62 28 upper upper ADJ cana-790 62 29 approximation approximation NOUN cana-790 62 30 space space NOUN cana-790 62 31 , , PUNCT cana-790 62 32 οΏ½ οΏ½ PROPN cana-790 62 33 Μƒ Μƒ PROPN cana-790 62 34 οΏ½ οΏ½ NOUN cana-790 62 35 𝛽(π‘₯)βˆ’ 𝛽(π‘₯)βˆ’ NOUN cana-790 62 36 of of ADP cana-790 62 37 the the DET cana-790 62 38 object object NOUN cana-790 62 39 π‘₯ π‘₯ PRON cana-790 62 40 contains contain VERB cana-790 62 41 those those DET cana-790 62 42 objects object NOUN cana-790 62 43 of of ADP cana-790 62 44 𝐹(π‘Ž 𝐹(π‘Ž NOUN cana-790 62 45 ) ) PUNCT cana-790 62 46 whose whose DET cana-790 62 47 intersection intersection NOUN cana-790 62 48 with with ADP cana-790 62 49 the the DET cana-790 62 50 fuzzy fuzzy ADJ cana-790 62 51 𝛽-neighbourhood 𝛽-neighbourhood NOUN cana-790 62 52 is be AUX cana-790 62 53 non non X cana-790 62 54 empty empty ADJ cana-790 62 55 for for ADP cana-790 62 56 every every DET cana-790 62 57 π‘Ž π‘Ž NOUN cana-790 62 58 in in ADP cana-790 62 59 𝑁𝛽(π‘₯ 𝑁𝛽(π‘₯ NOUN cana-790 62 60 ) ) PUNCT cana-790 62 61 . . PUNCT cana-790 63 1 example example NOUN cana-790 63 2 2.5 2.5 NUM cana-790 63 3 . . PUNCT cana-790 64 1 consider consider VERB cana-790 64 2 𝐼 𝐼 PROPN cana-790 64 3 = = SYM cana-790 64 4 ( ( PUNCT cana-790 64 5 π‘ˆ π‘ˆ PROPN cana-790 64 6 , , PUNCT cana-790 64 7 𝐴 𝐴 PROPN cana-790 64 8 , , PUNCT cana-790 64 9 𝐹 𝐹 PROPN cana-790 64 10 ) ) PUNCT cana-790 64 11 , , PUNCT cana-790 64 12 the the DET cana-790 64 13 covering covering NOUN cana-790 64 14 - - PUNCT cana-790 64 15 based base VERB cana-790 64 16 information information NOUN cana-790 64 17 system system NOUN cana-790 64 18 . . PUNCT cana-790 65 1 let let VERB cana-790 65 2 π‘ˆ π‘ˆ PROPN cana-790 65 3 = = SYM cana-790 65 4 { { PUNCT cana-790 65 5 π‘₯1 π‘₯1 NOUN cana-790 65 6 , , PUNCT cana-790 65 7 π‘₯2 π‘₯2 NOUN cana-790 65 8 , , PUNCT cana-790 65 9 π‘₯3 π‘₯3 NOUN cana-790 65 10 , , PUNCT cana-790 65 11 π‘₯4 π‘₯4 PROPN cana-790 65 12 } } PUNCT cana-790 65 13 be be VERB cana-790 65 14 the the DET cana-790 65 15 universal universal ADJ cana-790 65 16 set set NOUN cana-790 65 17 and and CCONJ cana-790 65 18 let let VERB cana-790 65 19 𝐴 𝐴 PROPN cana-790 65 20 = = PUNCT cana-790 65 21 { { PUNCT cana-790 65 22 π‘Ž1 π‘Ž1 PROPN cana-790 65 23 , , PUNCT cana-790 65 24 π‘Ž2 π‘Ž2 PROPN cana-790 65 25 , , PUNCT cana-790 65 26 π‘Ž3 π‘Ž3 PROPN cana-790 65 27 , , PUNCT cana-790 65 28 π‘Ž4 π‘Ž4 PROPN cana-790 65 29 , , PUNCT cana-790 65 30 π‘Ž5 π‘Ž5 PROPN cana-790 65 31 } } PUNCT cana-790 65 32 be be VERB cana-790 65 33 the the DET cana-790 65 34 set set NOUN cana-790 65 35 of of ADP cana-790 65 36 attributes attribute NOUN cana-790 65 37 . . PUNCT cana-790 66 1 𝐹 𝐹 PROPN cana-790 66 2 : : PUNCT cana-790 66 3 𝐴 𝐴 PROPN cana-790 66 4 β†’ β†’ SYM cana-790 66 5 𝒫(π‘ˆ 𝒫(π‘ˆ PROPN cana-790 66 6 ) ) PUNCT cana-790 66 7 be be AUX cana-790 66 8 defined define VERB cana-790 66 9 by by ADP cana-790 66 10 𝐹(π‘Ž1 𝐹(π‘Ž1 PROPN cana-790 66 11 ) ) PUNCT cana-790 66 12 = = PRON cana-790 66 13 { { PUNCT cana-790 66 14 π‘₯1 π‘₯1 NOUN cana-790 66 15 , , PUNCT cana-790 66 16 π‘₯4 π‘₯4 NOUN cana-790 66 17 } } PUNCT cana-790 66 18 𝐹(π‘Ž2 𝐹(π‘Ž2 NUM cana-790 66 19 ) ) PUNCT cana-790 67 1 = = PRON cana-790 67 2 { { PUNCT cana-790 67 3 π‘₯1 π‘₯1 NOUN cana-790 67 4 , , PUNCT cana-790 67 5 π‘₯3 π‘₯3 NOUN cana-790 67 6 } } PUNCT cana-790 67 7 𝐹(π‘Ž3 𝐹(π‘Ž3 NOUN cana-790 67 8 ) ) PUNCT cana-790 67 9 = = PRON cana-790 67 10 { { PUNCT cana-790 67 11 π‘₯1 π‘₯1 NOUN cana-790 67 12 , , PUNCT cana-790 67 13 π‘₯2 π‘₯2 NOUN cana-790 67 14 , , PUNCT cana-790 67 15 , , PUNCT cana-790 67 16 π‘₯4 π‘₯4 ADJ cana-790 67 17 } } PUNCT cana-790 67 18 𝐹(π‘Ž4 𝐹(π‘Ž4 NOUN cana-790 67 19 ) ) PUNCT cana-790 67 20 = = SYM cana-790 67 21 { { PUNCT cana-790 67 22 π‘₯3 π‘₯3 NOUN cana-790 67 23 , , PUNCT cana-790 67 24 π‘₯4 π‘₯4 NOUN cana-790 67 25 } } PUNCT cana-790 67 26 𝐹(π‘Ž5 𝐹(π‘Ž5 PROPN cana-790 67 27 ) ) PUNCT cana-790 67 28 = = SYM cana-790 67 29 { { PUNCT cana-790 67 30 π‘₯2 π‘₯2 NOUN cana-790 67 31 , , PUNCT cana-790 67 32 π‘₯4 π‘₯4 NOUN cana-790 67 33 } } PUNCT cana-790 67 34 by by ADP cana-790 67 35 taking take VERB cana-790 67 36 π›Ώπ‘Ž1 π›Ώπ‘Ž1 NOUN cana-790 67 37 = = PUNCT cana-790 67 38 0.2 0.2 NUM cana-790 67 39 , , PUNCT cana-790 67 40 π›Ώπ‘Ž2 π›Ώπ‘Ž2 NOUN cana-790 67 41 = = NOUN cana-790 67 42 0.1 0.1 NUM cana-790 67 43 , , PUNCT cana-790 67 44 π›Ώπ‘Ž3 π›Ώπ‘Ž3 NOUN cana-790 67 45 = = SYM cana-790 67 46 0.3 0.3 NUM cana-790 67 47 , , PUNCT cana-790 67 48 π›Ώπ‘Ž4 π›Ώπ‘Ž4 NOUN cana-790 67 49 = = NOUN cana-790 67 50 0.2 0.2 NUM cana-790 67 51 , , PUNCT cana-790 67 52 and and CCONJ cana-790 67 53 π›Ώπ‘Ž5 π›Ώπ‘Ž5 NOUN cana-790 67 54 = = SYM cana-790 67 55 0.1 0.1 NUM cana-790 67 56 respectively respectively ADV cana-790 67 57 . . PUNCT cana-790 68 1 the the DET cana-790 68 2 𝛽-reduct 𝛽-reduct NOUN cana-790 68 3 and and CCONJ cana-790 68 4 fuzzy fuzzy ADJ cana-790 68 5 𝛽-neighborhood 𝛽-neighborhood NOUN cana-790 68 6 for for ADP cana-790 68 7 𝛽 𝛽 NOUN cana-790 68 8 = = SYM cana-790 68 9 0.2 0.2 NUM cana-790 68 10 as as SCONJ cana-790 68 11 given give VERB cana-790 68 12 by by ADP cana-790 68 13 table table NOUN cana-790 68 14 2 2 NUM cana-790 68 15 . . PUNCT cana-790 69 1 the the PRON cana-790 69 2 fuzzy fuzzy ADJ cana-790 69 3 𝛽-neighborhood 𝛽-neighborhood PROPN cana-790 69 4 based base VERB cana-790 69 5 soft soft ADJ cana-790 69 6 rough rough ADJ cana-790 69 7 set set NOUN cana-790 69 8 of of ADP cana-790 69 9 an an DET cana-790 69 10 object object NOUN cana-790 69 11 π‘₯ π‘₯ NOUN cana-790 69 12 , , PUNCT cana-790 69 13 0.2 0.2 NUM cana-790 69 14 βˆ’ βˆ’ NOUN cana-790 69 15 𝑅𝑆(π‘₯ 𝑅𝑆(π‘₯ X cana-790 69 16 ) ) PUNCT cana-790 69 17 is be AUX cana-790 69 18 given give VERB cana-790 69 19 as as ADP cana-790 69 20 in in ADP cana-790 69 21 table table NOUN cana-790 69 22 3 3 NUM cana-790 69 23 . . PUNCT cana-790 69 24 table table NOUN cana-790 69 25 1 1 NUM cana-790 69 26 : : PUNCT cana-790 69 27 information information NOUN cana-790 69 28 system system NOUN cana-790 69 29 𝐼 𝐼 PROPN cana-790 69 30 = = SYM cana-790 69 31 ( ( PUNCT cana-790 69 32 π‘ˆ π‘ˆ PROPN cana-790 69 33 , , PUNCT cana-790 69 34 𝐴 𝐴 PROPN cana-790 69 35 , , PUNCT cana-790 69 36 𝐹 𝐹 PROPN cana-790 69 37 ) ) PUNCT cana-790 69 38 u u NOUN cana-790 69 39 / / SYM cana-790 69 40 a a DET cana-790 69 41 a1 a1 NOUN cana-790 69 42 a2 a2 PROPN cana-790 69 43 a3 a3 NOUN cana-790 69 44 a4 a4 PROPN cana-790 69 45 a5 a5 X cana-790 70 1 x1 x1 PROPN cana-790 70 2 0.2 0.2 NUM cana-790 70 3 0.1 0.1 NUM cana-790 70 4 0.3 0.3 NUM cana-790 70 5 0.3 0.3 NUM cana-790 70 6 0.3 0.3 NUM cana-790 70 7 x2 x2 NOUN cana-790 70 8 0.4 0.4 NUM cana-790 70 9 0.2 0.2 NUM cana-790 70 10 0.3 0.3 NUM cana-790 70 11 0.4 0.4 NUM cana-790 70 12 0.1 0.1 NUM cana-790 70 13 x3 x3 ADJ cana-790 70 14 0.3 0.3 NUM cana-790 70 15 0.1 0.1 NUM cana-790 70 16 0.4 0.4 NUM cana-790 70 17 0.2 0.2 NUM cana-790 70 18 0.2 0.2 NUM cana-790 70 19 x4 x4 NUM cana-790 70 20 0.2 0.2 NUM cana-790 70 21 0.3 0.3 NUM cana-790 70 22 0.1 0.1 NUM cana-790 70 23 0.2 0.2 NUM cana-790 70 24 0.1 0.1 NUM cana-790 70 25 communications communication NOUN cana-790 70 26 on on ADP cana-790 70 27 applied apply VERB cana-790 70 28 nonlinear nonlinear ADJ cana-790 70 29 analysis analysis NOUN cana-790 70 30 issn issn NOUN cana-790 70 31 : : PUNCT cana-790 70 32 1074 1074 NUM cana-790 70 33 - - PUNCT cana-790 70 34 133x 133x NUM cana-790 70 35 vol vol NOUN cana-790 70 36 31 31 NUM cana-790 70 37 no no NOUN cana-790 70 38 . . PUNCT cana-790 71 1 3s 3s NUM cana-790 71 2 ( ( PUNCT cana-790 71 3 2024 2024 NUM cana-790 71 4 ) ) PUNCT cana-790 71 5 408 408 NUM cana-790 71 6 https://internationalpubls.com https://internationalpubls.com X cana-790 71 7 table table NOUN cana-790 71 8 2 2 NUM cana-790 71 9 : : PUNCT cana-790 71 10 0.2 0.2 NUM cana-790 71 11 - - PUNCT cana-790 71 12 reduct reduct NOUN cana-790 71 13 and and CCONJ cana-790 71 14 fuzzy fuzzy ADJ cana-790 71 15 0.2 0.2 NUM cana-790 71 16 - - PUNCT cana-790 71 17 neighbourhood neighbourhood NOUN cana-790 71 18 of of ADP cana-790 71 19 the the DET cana-790 71 20 objects object NOUN cana-790 71 21 𝑼 𝑼 PROPN cana-790 71 22 π‘΅πŸŽ.𝟐(𝒙 π‘΅πŸŽ.𝟐(𝒙 PROPN cana-790 71 23 ) ) PUNCT cana-790 71 24 οΏ½ οΏ½ PROPN cana-790 71 25 Μƒ Μƒ PROPN cana-790 71 26 οΏ½ οΏ½ NOUN cana-790 71 27 𝟎.𝟐(𝒙 𝟎.𝟐(𝒙 NUM cana-790 71 28 ) ) PUNCT cana-790 71 29 x1 x1 PROPN cana-790 71 30 { { PUNCT cana-790 71 31 π‘Ž1 π‘Ž1 PROPN cana-790 71 32 , , PUNCT cana-790 71 33 π‘Ž3 π‘Ž3 PROPN cana-790 71 34 , , PUNCT cana-790 71 35 π‘Ž4 π‘Ž4 PROPN cana-790 71 36 , , PUNCT cana-790 71 37 π‘Ž5 π‘Ž5 PROPN cana-790 71 38 } } PUNCT cana-790 71 39 { { PUNCT cana-790 71 40 π‘₯1 π‘₯1 NOUN cana-790 71 41 , , PUNCT cana-790 71 42 π‘₯3 π‘₯3 NOUN cana-790 71 43 } } PUNCT cana-790 71 44 x2 x2 PROPN cana-790 71 45 { { PUNCT cana-790 71 46 π‘Ž1 π‘Ž1 PROPN cana-790 71 47 , , PUNCT cana-790 71 48 π‘Ž2 π‘Ž2 PROPN cana-790 71 49 , , PUNCT cana-790 71 50 π‘Ž3 π‘Ž3 PROPN cana-790 71 51 , , PUNCT cana-790 71 52 π‘Ž4 π‘Ž4 PROPN cana-790 71 53 } } PUNCT cana-790 71 54 { { PUNCT cana-790 71 55 π‘₯2 π‘₯2 NOUN cana-790 71 56 } } PUNCT cana-790 71 57 x3 x3 NOUN cana-790 71 58 { { PUNCT cana-790 71 59 π‘Ž1 π‘Ž1 PROPN cana-790 71 60 , , PUNCT cana-790 71 61 π‘Ž3 π‘Ž3 PROPN cana-790 71 62 , , PUNCT cana-790 71 63 π‘Ž4 π‘Ž4 PROPN cana-790 71 64 , , PUNCT cana-790 71 65 π‘Ž5 π‘Ž5 PROPN cana-790 71 66 } } PUNCT cana-790 71 67 { { PUNCT cana-790 71 68 π‘₯1 π‘₯1 NOUN cana-790 71 69 , , PUNCT cana-790 71 70 π‘₯3 π‘₯3 NOUN cana-790 71 71 } } PUNCT cana-790 71 72 x4 x4 PROPN cana-790 71 73 { { PUNCT cana-790 71 74 π‘Ž1 π‘Ž1 PROPN cana-790 71 75 , , PUNCT cana-790 71 76 π‘Ž2 π‘Ž2 PROPN cana-790 71 77 , , PUNCT cana-790 71 78 π‘Ž4 π‘Ž4 PROPN cana-790 71 79 } } PUNCT cana-790 71 80 { { PUNCT cana-790 71 81 π‘₯2 π‘₯2 NOUN cana-790 71 82 , , PUNCT cana-790 71 83 π‘₯4 π‘₯4 ADJ cana-790 71 84 } } PUNCT cana-790 71 85 table table NOUN cana-790 71 86 3 3 NUM cana-790 71 87 : : PUNCT cana-790 71 88 fuzzy fuzzy ADJ cana-790 71 89 0.2 0.2 NUM cana-790 71 90 - - PUNCT cana-790 71 91 neighbourhood neighbourhood NOUN cana-790 71 92 based base VERB cana-790 71 93 soft soft ADJ cana-790 71 94 rough rough ADJ cana-790 71 95 set set NOUN cana-790 71 96 of of ADP cana-790 71 97 the the DET cana-790 71 98 objects object NOUN cana-790 71 99 𝑼 𝑼 NOUN cana-790 71 100 𝟎. 𝟎. X cana-790 71 101 𝟐 𝟐 NUM cana-790 71 102 βˆ’ βˆ’ PROPN cana-790 71 103 𝐑𝐒(π’™π’Š 𝐑𝐒(π’™π’Š PROPN cana-790 71 104 ) ) PUNCT cana-790 71 105 x1 x1 PROPN cana-790 71 106 ( ( PUNCT cana-790 71 107 𝐹(π‘Ž2 𝐹(π‘Ž2 NOUN cana-790 71 108 ) ) PUNCT cana-790 71 109 , , PUNCT cana-790 71 110 π‘ˆ π‘ˆ PROPN cana-790 71 111 βˆ’ βˆ’ PROPN cana-790 71 112 𝐹(π‘Ž5 𝐹(π‘Ž5 PROPN cana-790 71 113 ) ) PUNCT cana-790 71 114 ) ) PUNCT cana-790 72 1 x2 x2 INTJ cana-790 72 2 ( ( PUNCT cana-790 72 3 βˆ… βˆ… NOUN cana-790 72 4 , , PUNCT cana-790 72 5 𝐹(π‘Ž3 𝐹(π‘Ž3 NOUN cana-790 72 6 ) ) PUNCT cana-790 72 7 βˆͺ βˆͺ ADP cana-790 72 8 𝐹(π‘Ž5 𝐹(π‘Ž5 PROPN cana-790 72 9 ) ) PUNCT cana-790 72 10 ) ) PUNCT cana-790 73 1 x3 x3 INTJ cana-790 73 2 ( ( PUNCT cana-790 73 3 𝐹(π‘Ž2 𝐹(π‘Ž2 NOUN cana-790 73 4 ) ) PUNCT cana-790 73 5 , , PUNCT cana-790 73 6 π‘ˆ π‘ˆ PROPN cana-790 73 7 βˆ’ βˆ’ PROPN cana-790 73 8 𝐹(π‘Ž5 𝐹(π‘Ž5 PROPN cana-790 73 9 ) ) PUNCT cana-790 73 10 ) ) PUNCT cana-790 74 1 x4 x4 PROPN cana-790 74 2 ( ( PUNCT cana-790 74 3 𝐹(π‘Ž5 𝐹(π‘Ž5 PROPN cana-790 74 4 ) ) PUNCT cana-790 74 5 , , PUNCT cana-790 74 6 𝐹(π‘Ž1 𝐹(π‘Ž1 NOUN cana-790 74 7 ) ) PUNCT cana-790 74 8 βˆͺ βˆͺ ADP cana-790 74 9 𝐹(π‘Ž3 𝐹(π‘Ž3 NOUN cana-790 74 10 ) ) PUNCT cana-790 74 11 βˆͺ βˆͺ ADP cana-790 74 12 𝐹(π‘Ž5 𝐹(π‘Ž5 PROPN cana-790 74 13 ) ) PUNCT cana-790 74 14 ) ) PUNCT cana-790 74 15 remark remark VERB cana-790 74 16 2.6 2.6 NUM cana-790 74 17 . . PUNCT cana-790 75 1 β€’ β€’ NUM cana-790 75 2 the the DET cana-790 75 3 0.2 0.2 NUM cana-790 75 4 - - PUNCT cana-790 75 5 reduct reduct NOUN cana-790 75 6 of of ADP cana-790 75 7 π‘₯1 π‘₯1 PROPN cana-790 75 8 , , PUNCT cana-790 75 9 𝑁0.2(π‘₯1 𝑁0.2(π‘₯1 NOUN cana-790 75 10 ) ) PUNCT cana-790 75 11 = = NOUN cana-790 75 12 { { PUNCT cana-790 75 13 π‘Ž1 π‘Ž1 PROPN cana-790 75 14 , , PUNCT cana-790 75 15 π‘Ž3 π‘Ž3 PROPN cana-790 75 16 , , PUNCT cana-790 75 17 π‘Ž4 π‘Ž4 PROPN cana-790 75 18 , , PUNCT cana-790 75 19 π‘Ž5 π‘Ž5 PROPN cana-790 75 20 } } PUNCT cana-790 75 21 consists consist VERB cana-790 75 22 those those DET cana-790 75 23 significant significant ADJ cana-790 75 24 attributes attribute NOUN cana-790 75 25 of of ADP cana-790 75 26 π‘₯1 π‘₯1 NOUN cana-790 75 27 with with ADP cana-790 75 28 respect respect NOUN cana-790 75 29 to to ADP cana-790 75 30 𝛽 𝛽 NOUN cana-790 75 31 = = NUM cana-790 75 32 0.2 0.2 NUM cana-790 75 33 . . PUNCT cana-790 76 1 β€’ β€’ NUM cana-790 76 2 the the DET cana-790 76 3 fuzzy fuzzy ADJ cana-790 76 4 0.2 0.2 NUM cana-790 76 5 - - PUNCT cana-790 76 6 neighborhood neighborhood NOUN cana-790 76 7 of of ADP cana-790 76 8 π‘₯1 π‘₯1 NOUN cana-790 76 9 , , PUNCT cana-790 76 10 { { PUNCT cana-790 76 11 π‘₯1 π‘₯1 NOUN cana-790 76 12 , , PUNCT cana-790 76 13 π‘₯3 π‘₯3 NOUN cana-790 76 14 } } PUNCT cana-790 76 15 contains contain VERB cana-790 76 16 those those DET cana-790 76 17 objects object NOUN cana-790 76 18 that that PRON cana-790 76 19 are be AUX cana-790 76 20 in in ADP cana-790 76 21 the the DET cana-790 76 22 neighborhood neighborhood NOUN cana-790 76 23 of of ADP cana-790 76 24 π‘₯1 π‘₯1 NOUN cana-790 76 25 with with ADP cana-790 76 26 respect respect NOUN cana-790 76 27 to to ADP cana-790 76 28 the the DET cana-790 76 29 0.2 0.2 NUM cana-790 76 30 - - PUNCT cana-790 76 31 reduct reduct NOUN cana-790 76 32 of of ADP cana-790 76 33 π‘₯1 π‘₯1 PROPN cana-790 76 34 . . PROPN cana-790 76 35 β€’ β€’ NUM cana-790 77 1 the the DET cana-790 77 2 fuzzy fuzzy ADJ cana-790 77 3 0.2 0.2 NUM cana-790 77 4 - - PUNCT cana-790 77 5 neighborhood neighborhood NOUN cana-790 77 6 based base VERB cana-790 77 7 soft soft ADJ cana-790 77 8 rough rough ADJ cana-790 77 9 set set NOUN cana-790 77 10 of of ADP cana-790 77 11 π‘₯1 π‘₯1 NOUN cana-790 77 12 , , PUNCT cana-790 77 13 0.2 0.2 NUM cana-790 77 14 βˆ’ βˆ’ NOUN cana-790 77 15 rs(π‘₯1 rs(π‘₯1 ADV cana-790 77 16 ) ) PUNCT cana-790 77 17 = = SYM cana-790 77 18 ( ( PUNCT cana-790 77 19 𝐹(π‘Ž2 𝐹(π‘Ž2 NOUN cana-790 77 20 ) ) PUNCT cana-790 77 21 , , PUNCT cana-790 77 22 π‘ˆ π‘ˆ PROPN cana-790 77 23 βˆ’ βˆ’ PROPN cana-790 77 24 𝐹(π‘Ž5 𝐹(π‘Ž5 PROPN cana-790 77 25 ) ) PUNCT cana-790 77 26 ) ) PUNCT cana-790 77 27 consists consist VERB cana-790 77 28 of of ADP cana-790 77 29 the the DET cana-790 77 30 lower low ADJ cana-790 77 31 and and CCONJ cana-790 77 32 upper upper ADJ cana-790 77 33 approximation approximation NOUN cana-790 77 34 spaces space NOUN cana-790 77 35 of of ADP cana-790 77 36 the the DET cana-790 77 37 object object NOUN cana-790 77 38 π‘₯1 π‘₯1 PROPN cana-790 77 39 . . PUNCT cana-790 78 1 the the DET cana-790 78 2 lower low ADJ cana-790 78 3 approximation approximation NOUN cana-790 78 4 space space NOUN cana-790 78 5 , , PUNCT cana-790 78 6 οΏ½ οΏ½ PROPN cana-790 78 7 Μƒ Μƒ PROPN cana-790 78 8 οΏ½ οΏ½ NOUN cana-790 78 9 0.2(π‘₯1 0.2(π‘₯1 NOUN cana-790 78 10 ) ) PUNCT cana-790 78 11 _ _ PUNCT cana-790 78 12 contains contain VERB cana-790 78 13 𝐹(π‘Ž2 𝐹(π‘Ž2 NOUN cana-790 78 14 ) ) PUNCT cana-790 78 15 which which PRON cana-790 78 16 is be AUX cana-790 78 17 completely completely ADV cana-790 78 18 contained contain VERB cana-790 78 19 in in ADP cana-790 78 20 the the DET cana-790 78 21 fuzzy fuzzy ADJ cana-790 78 22 0.2 0.2 NUM cana-790 78 23 neighborhood neighborhood NOUN cana-790 78 24 of of ADP cana-790 78 25 π‘₯1 π‘₯1 NOUN cana-790 78 26 where where SCONJ cana-790 78 27 { { PUNCT cana-790 78 28 π‘Ž1 π‘Ž1 PROPN cana-790 78 29 , , PUNCT cana-790 78 30 π‘Ž3 π‘Ž3 PROPN cana-790 78 31 , , PUNCT cana-790 78 32 π‘Ž4 π‘Ž4 PROPN cana-790 78 33 , , PUNCT cana-790 78 34 π‘Ž5 π‘Ž5 PROPN cana-790 78 35 } } PUNCT cana-790 78 36 are be AUX cana-790 78 37 in in ADP cana-790 78 38 𝑁0.2(π‘₯1 𝑁0.2(π‘₯1 NOUN cana-790 78 39 ) ) PUNCT cana-790 78 40 . . PUNCT cana-790 79 1 β€’ β€’ NUM cana-790 79 2 the the DET cana-790 79 3 upper upper ADJ cana-790 79 4 approximation approximation NOUN cana-790 79 5 space space NOUN cana-790 79 6 , , PUNCT cana-790 79 7 οΏ½ οΏ½ PROPN cana-790 79 8 Μƒ Μƒ PROPN cana-790 79 9 οΏ½ οΏ½ NOUN cana-790 79 10 0.2(π‘₯1 0.2(π‘₯1 NOUN cana-790 79 11 ) ) PUNCT cana-790 79 12 – – PUNCT cana-790 79 13 contains contain VERB cana-790 79 14 all all DET cana-790 79 15 the the DET cana-790 79 16 objects object NOUN cana-790 79 17 in in ADP cana-790 79 18 { { PUNCT cana-790 79 19 𝐹(π‘Ž1 𝐹(π‘Ž1 NOUN cana-790 79 20 ) ) PUNCT cana-790 79 21 , , PUNCT cana-790 79 22 𝐹(π‘Ž2 𝐹(π‘Ž2 NOUN cana-790 79 23 ) ) PUNCT cana-790 79 24 , , PUNCT cana-790 79 25 𝐹(π‘Ž3 𝐹(π‘Ž3 NOUN cana-790 79 26 ) ) PUNCT cana-790 79 27 , , PUNCT cana-790 79 28 𝐹(π‘Ž4 𝐹(π‘Ž4 PROPN cana-790 79 29 ) ) PUNCT cana-790 79 30 } } PUNCT cana-790 79 31 whose whose DET cana-790 79 32 intersection intersection NOUN cana-790 79 33 with with ADP cana-790 79 34 the the DET cana-790 79 35 fuzzy fuzzy ADJ cana-790 79 36 0.2 0.2 NUM cana-790 79 37 neighborhood neighborhood NOUN cana-790 79 38 is be AUX cana-790 79 39 nonempty nonempty ADJ cana-790 79 40 where where SCONJ cana-790 79 41 { { PUNCT cana-790 79 42 π‘Ž1 π‘Ž1 NOUN cana-790 79 43 , , PUNCT cana-790 79 44 π‘Ž2 π‘Ž2 PROPN cana-790 79 45 , , PUNCT cana-790 79 46 π‘Ž3 π‘Ž3 PROPN cana-790 79 47 , , PUNCT cana-790 79 48 π‘Ž4 π‘Ž4 PROPN cana-790 79 49 } } PUNCT cana-790 79 50 are be AUX cana-790 79 51 all all ADV cana-790 79 52 in in ADP cana-790 79 53 𝑁0.2(π‘₯1 𝑁0.2(π‘₯1 NOUN cana-790 79 54 ) ) PUNCT cana-790 79 55 . . PUNCT cana-790 80 1 from from ADP cana-790 80 2 the the DET cana-790 80 3 given give VERB cana-790 80 4 example example NOUN cana-790 80 5 , , PUNCT cana-790 80 6 it it PRON cana-790 80 7 can can AUX cana-790 80 8 be be AUX cana-790 80 9 observed observe VERB cana-790 80 10 that that SCONJ cana-790 80 11 the the DET cana-790 80 12 𝛽-reduct 𝛽-reduct NOUN cana-790 80 13 is be AUX cana-790 80 14 the the DET cana-790 80 15 set set NOUN cana-790 80 16 of of ADP cana-790 80 17 attributes attribute NOUN cana-790 80 18 that that PRON cana-790 80 19 primarily primarily ADV cana-790 80 20 characterize characterize VERB cana-790 80 21 the the DET cana-790 80 22 chosen choose VERB cana-790 80 23 object object NOUN cana-790 80 24 π‘₯ π‘₯ NOUN cana-790 80 25 , , PUNCT cana-790 80 26 the the DET cana-790 80 27 fuzzy fuzzy ADJ cana-790 80 28 𝛽-neighborhood 𝛽-neighborhood PROPN cana-790 80 29 [ [ X cana-790 80 30 19 19 NUM cana-790 80 31 ] ] PUNCT cana-790 80 32 embodies embody VERB cana-790 80 33 those those DET cana-790 80 34 neighbors neighbor NOUN cana-790 80 35 of of ADP cana-790 80 36 x x PRON cana-790 80 37 that that PRON cana-790 80 38 resemble resemble VERB cana-790 80 39 the the DET cana-790 80 40 chosen choose VERB cana-790 80 41 object object NOUN cana-790 80 42 in in ADP cana-790 80 43 terms term NOUN cana-790 80 44 of of ADP cana-790 80 45 the the DET cana-790 80 46 attributes attribute NOUN cana-790 80 47 that that PRON cana-790 80 48 characterize characterize VERB cana-790 80 49 it it PRON cana-790 80 50 . . PUNCT cana-790 81 1 thus thus ADV cana-790 81 2 , , PUNCT cana-790 81 3 by by ADP cana-790 81 4 making make VERB cana-790 81 5 an an DET cana-790 81 6 appropriate appropriate ADJ cana-790 81 7 choice choice NOUN cana-790 81 8 for for ADP cana-790 81 9 𝛽 𝛽 NOUN cana-790 81 10 , , PUNCT cana-790 81 11 one one PRON cana-790 81 12 can can AUX cana-790 81 13 regulate regulate VERB cana-790 81 14 the the DET cana-790 81 15 lower low ADJ cana-790 81 16 approximation approximation NOUN cana-790 81 17 space space NOUN cana-790 81 18 to to PART cana-790 81 19 record record VERB cana-790 81 20 the the DET cana-790 81 21 neighborhood neighborhood NOUN cana-790 81 22 that that PRON cana-790 81 23 closely closely ADV cana-790 81 24 identifies identify VERB cana-790 81 25 with with ADP cana-790 81 26 the the DET cana-790 81 27 pivotal pivotal ADJ cana-790 81 28 qualities quality NOUN cana-790 81 29 represented represent VERB cana-790 81 30 by by ADP cana-790 81 31 the the DET cana-790 81 32 chosen choose VERB cana-790 81 33 object object NOUN cana-790 81 34 with with ADP cana-790 81 35 excellent excellent ADJ cana-790 81 36 precision precision NOUN cana-790 81 37 . . PUNCT cana-790 82 1 3 3 X cana-790 82 2 . . X cana-790 82 3 implementation implementation NOUN cana-790 82 4 of of ADP cana-790 82 5 fuzzy fuzzy ADJ cana-790 82 6 Ξ² Ξ² NOUN cana-790 82 7 - - ADJ cana-790 82 8 neighborhood neighborhood NOUN cana-790 82 9 based base VERB cana-790 82 10 soft soft ADJ cana-790 82 11 rough rough ADJ cana-790 82 12 sets set NOUN cana-790 82 13 to to PART cana-790 82 14 detect detect VERB cana-790 82 15 autism autism NOUN cana-790 82 16 objective objective NOUN cana-790 82 17 : : PUNCT cana-790 82 18 β€’ β€’ ADP cana-790 82 19 to to PART cana-790 82 20 determine determine VERB cana-790 82 21 whether whether SCONJ cana-790 82 22 an an DET cana-790 82 23 object object NOUN cana-790 82 24 is be AUX cana-790 82 25 autistic autistic ADJ cana-790 82 26 or or CCONJ cana-790 82 27 otherwise otherwise ADV cana-790 82 28 using use VERB cana-790 82 29 the the DET cana-790 82 30 𝛽-rs 𝛽-rs PROPN cana-790 82 31 model model NOUN cana-790 82 32 by by ADP cana-790 82 33 studying study VERB cana-790 82 34 the the DET cana-790 82 35 facial facial ADJ cana-790 82 36 features feature NOUN cana-790 82 37 of of ADP cana-790 82 38 the the DET cana-790 82 39 object object NOUN cana-790 82 40 through through ADP cana-790 82 41 collected collect VERB cana-790 82 42 face face NOUN cana-790 82 43 landmark landmark NOUN cana-790 82 44 points point NOUN cana-790 82 45 . . PUNCT cana-790 83 1 communications communication NOUN cana-790 83 2 on on ADP cana-790 83 3 applied apply VERB cana-790 83 4 nonlinear nonlinear ADJ cana-790 83 5 analysis analysis NOUN cana-790 83 6 issn issn NOUN cana-790 83 7 : : PUNCT cana-790 83 8 1074 1074 NUM cana-790 83 9 - - PUNCT cana-790 83 10 133x 133x NUM cana-790 83 11 vol vol NOUN cana-790 83 12 31 31 NUM cana-790 83 13 no no NOUN cana-790 83 14 . . PUNCT cana-790 84 1 3s 3s NUM cana-790 84 2 ( ( PUNCT cana-790 84 3 2024 2024 NUM cana-790 84 4 ) ) PUNCT cana-790 84 5 409 409 NUM cana-790 84 6 https://internationalpubls.com https://internationalpubls.com X cana-790 84 7 β€’ β€’ NOUN cana-790 84 8 to to PART cana-790 84 9 classify classify VERB cana-790 84 10 the the DET cana-790 84 11 different different ADJ cana-790 84 12 levels level NOUN cana-790 84 13 of of ADP cana-790 84 14 autism autism NOUN cana-790 84 15 using use VERB cana-790 84 16 the the DET cana-790 84 17 defined define VERB cana-790 84 18 π›½βˆ’rs π›½βˆ’rs ADJ cana-790 84 19 model model NOUN cana-790 84 20 . . PUNCT cana-790 85 1 data datum NOUN cana-790 85 2 : : PUNCT cana-790 85 3 a a DET cana-790 85 4 public public ADJ cana-790 85 5 dataset dataset NOUN cana-790 85 6 taken take VERB cana-790 85 7 from from ADP cana-790 85 8 kaggle kaggle NOUN cana-790 85 9 has have AUX cana-790 85 10 been be AUX cana-790 85 11 utilized utilize VERB cana-790 85 12 for for ADP cana-790 85 13 the the DET cana-790 85 14 prediction prediction NOUN cana-790 85 15 of of ADP cana-790 85 16 autism autism NOUN cana-790 85 17 in in ADP cana-790 85 18 individuals individual NOUN cana-790 85 19 . . PUNCT cana-790 86 1 consider consider VERB cana-790 86 2 𝐼 𝐼 PROPN cana-790 86 3 = = SYM cana-790 86 4 ( ( PUNCT cana-790 86 5 π‘ˆ π‘ˆ PROPN cana-790 86 6 , , PUNCT cana-790 86 7 𝐹 𝐹 PROPN cana-790 86 8 , , PUNCT cana-790 86 9 𝐴 𝐴 PROPN cana-790 86 10 ) ) PUNCT cana-790 86 11 be be VERB cana-790 86 12 the the DET cana-790 86 13 covering covering NOUN cana-790 86 14 - - PUNCT cana-790 86 15 based base VERB cana-790 86 16 information information NOUN cana-790 86 17 system system NOUN cana-790 86 18 . . PUNCT cana-790 87 1 let let VERB cana-790 87 2 π‘ˆ π‘ˆ PROPN cana-790 87 3 = = SYM cana-790 87 4 { { PUNCT cana-790 87 5 𝑒1 𝑒1 PROPN cana-790 87 6 , , PUNCT cana-790 87 7 𝑒2 𝑒2 PROPN cana-790 87 8 , , PUNCT cana-790 87 9 𝑒3 𝑒3 PROPN cana-790 87 10 , , PUNCT cana-790 87 11 . . PUNCT cana-790 87 12 . . PUNCT cana-790 88 1 . . PUNCT cana-790 89 1 , , PUNCT cana-790 89 2 𝑒200 𝑒200 PRON cana-790 89 3 } } PUNCT cana-790 89 4 be be VERB cana-790 89 5 the the DET cana-790 89 6 universal universal ADJ cana-790 89 7 set set NOUN cana-790 89 8 of of ADP cana-790 89 9 face face NOUN cana-790 89 10 images image NOUN cana-790 89 11 , , PUNCT cana-790 89 12 𝐴 𝐴 PROPN cana-790 89 13 = = PUNCT cana-790 89 14 { { PUNCT cana-790 89 15 π‘Ž1 π‘Ž1 PROPN cana-790 89 16 , , PUNCT cana-790 89 17 π‘Ž2 π‘Ž2 PROPN cana-790 89 18 , , PUNCT cana-790 89 19 π‘Ž3 π‘Ž3 PROPN cana-790 89 20 , , PUNCT cana-790 89 21 . . PUNCT cana-790 89 22 . . PUNCT cana-790 90 1 . . PUNCT cana-790 91 1 , , PUNCT cana-790 91 2 π‘Ž15 π‘Ž15 PROPN cana-790 91 3 } } PUNCT cana-790 91 4 be be VERB cana-790 91 5 the the DET cana-790 91 6 attribute attribute NOUN cana-790 91 7 set set VERB cana-790 91 8 of of ADP cana-790 91 9 pivotal pivotal ADJ cana-790 91 10 face face NOUN cana-790 91 11 landmark landmark NOUN cana-790 91 12 points point NOUN cana-790 91 13 of of ADP cana-790 91 14 the the DET cana-790 91 15 objects object NOUN cana-790 91 16 where where SCONJ cana-790 91 17 each each DET cana-790 91 18 attribute attribute NOUN cana-790 91 19 is be AUX cana-790 91 20 an an DET cana-790 91 21 ordered order VERB cana-790 91 22 pair pair NOUN cana-790 91 23 of of ADP cana-790 91 24 coordinates coordinate NOUN cana-790 91 25 π‘Žπ‘– π‘Žπ‘– X cana-790 91 26 = = SYM cana-790 91 27 ( ( PUNCT cana-790 91 28 π‘Žπ‘₯𝑖 π‘Žπ‘₯𝑖 PROPN cana-790 91 29 , , PUNCT cana-790 91 30 π‘Žπ‘¦π‘– π‘Žπ‘¦π‘– PROPN cana-790 91 31 ) ) PUNCT cana-790 91 32 . . PUNCT cana-790 92 1 consequently consequently ADV cana-790 92 2 , , PUNCT cana-790 92 3 the the DET cana-790 92 4 membership membership NOUN cana-790 92 5 value value NOUN cana-790 92 6 of of ADP cana-790 92 7 every every DET cana-790 92 8 object object NOUN cana-790 92 9 with with ADP cana-790 92 10 respect respect NOUN cana-790 92 11 to to ADP cana-790 92 12 each each DET cana-790 92 13 attribute attribute NOUN cana-790 92 14 is be AUX cana-790 92 15 denoted denote VERB cana-790 92 16 as as ADP cana-790 92 17 πœ‡ πœ‡ ADP cana-790 92 18 π‘Žπ‘– π‘Žπ‘– DET cana-790 92 19 ( ( PUNCT cana-790 92 20 𝑒𝑗 𝑒𝑗 NOUN cana-790 92 21 ) ) PUNCT cana-790 92 22 = = SYM cana-790 92 23 ( ( PUNCT cana-790 92 24 πœ‡π‘Žπ‘₯𝑖 πœ‡π‘Žπ‘₯𝑖 NOUN cana-790 92 25 ( ( PUNCT cana-790 92 26 𝑒𝑗 𝑒𝑗 NOUN cana-790 92 27 ) ) PUNCT cana-790 92 28 , , PUNCT cana-790 92 29 πœ‡π‘Žπ‘¦π‘– πœ‡π‘Žπ‘¦π‘– PROPN cana-790 92 30 ( ( PUNCT cana-790 92 31 𝑒𝑗 𝑒𝑗 NOUN cana-790 92 32 ) ) PUNCT cana-790 92 33 ) ) PUNCT cana-790 92 34 , , PUNCT cana-790 93 1 βˆ€π‘– βˆ€π‘– PROPN cana-790 93 2 = = SYM cana-790 93 3 1 1 NUM cana-790 93 4 , , PUNCT cana-790 93 5 2 2 NUM cana-790 93 6 , , PUNCT cana-790 93 7 . . PUNCT cana-790 93 8 . . PUNCT cana-790 93 9 . . PUNCT cana-790 94 1 , , PUNCT cana-790 94 2 15 15 NUM cana-790 94 3 and and CCONJ cana-790 94 4 𝑗 𝑗 NOUN cana-790 94 5 = = ADJ cana-790 94 6 1 1 NUM cana-790 94 7 , , PUNCT cana-790 94 8 2 2 NUM cana-790 94 9 , , PUNCT cana-790 94 10 . . PUNCT cana-790 94 11 . . PUNCT cana-790 95 1 . . PUNCT cana-790 96 1 , , PUNCT cana-790 96 2 200 200 NUM cana-790 96 3 and and CCONJ cana-790 96 4 𝐹 𝐹 PROPN cana-790 96 5 : : PUNCT cana-790 96 6 𝐴 𝐴 PROPN cana-790 96 7 β†’ β†’ SYM cana-790 96 8 𝒫(π‘ˆ 𝒫(π‘ˆ NOUN cana-790 96 9 ) ) PUNCT cana-790 96 10 is be AUX cana-790 96 11 given give VERB cana-790 96 12 by by ADP cana-790 96 13 𝐹 𝐹 PROPN cana-790 96 14 ( ( PUNCT cana-790 96 15 π‘Žπ‘– π‘Žπ‘– PROPN cana-790 96 16 ) ) PUNCT cana-790 96 17 = = NOUN cana-790 96 18 { { PUNCT cana-790 96 19 𝑒 𝑒 PART cana-790 96 20 ∈ ∈ PROPN cana-790 96 21 π‘ˆ π‘ˆ PROPN cana-790 96 22 ∢ ∢ NOUN cana-790 96 23 |πœ‡π‘Žπ‘– |πœ‡π‘Žπ‘– PUNCT cana-790 96 24 ( ( PUNCT cana-790 96 25 𝑒 𝑒 X cana-790 96 26 ) ) PUNCT cana-790 96 27 βˆ’ βˆ’ NOUN cana-790 96 28 πœ‡π‘ π‘‘π‘‘π‘Žπ‘– πœ‡π‘ π‘‘π‘‘π‘Žπ‘– NOUN cana-790 96 29 ( ( PUNCT cana-790 96 30 𝑒)| 𝑒)| PROPN cana-790 96 31 ≀ ≀ PROPN cana-790 96 32 π›Ώπ‘Žπ‘– π›Ώπ‘Žπ‘– NUM cana-790 96 33 } } PUNCT cana-790 96 34 πœ‡π‘ π‘‘π‘‘π‘Žπ‘– πœ‡π‘ π‘‘π‘‘π‘Žπ‘– NOUN cana-790 96 35 ( ( PUNCT cana-790 96 36 𝑒 𝑒 X cana-790 96 37 ) ) PUNCT cana-790 96 38 is be AUX cana-790 96 39 the the DET cana-790 96 40 mean mean NOUN cana-790 96 41 of of ADP cana-790 96 42 πœ‡π‘Žπ‘– πœ‡π‘Žπ‘– PROPN cana-790 96 43 ( ( PUNCT cana-790 96 44 𝑒 𝑒 NOUN cana-790 96 45 ) ) PUNCT cana-790 96 46 of of ADP cana-790 96 47 neurotypical neurotypical ADJ cana-790 96 48 individuals individual NOUN cana-790 96 49 and and CCONJ cana-790 96 50 π›Ώπ‘Žπ‘– π›Ώπ‘Žπ‘– NUM cana-790 96 51 = = SYM cana-790 96 52 0.03 0.03 NUM cana-790 96 53 which which PRON cana-790 96 54 has have AUX cana-790 96 55 been be AUX cana-790 96 56 chosen choose VERB cana-790 96 57 following follow VERB cana-790 96 58 thorough thorough ADJ cana-790 96 59 experimentation experimentation NOUN cana-790 96 60 and and CCONJ cana-790 96 61 expert expert NOUN cana-790 96 62 knowledge knowledge NOUN cana-790 96 63 . . PUNCT cana-790 97 1 in in ADP cana-790 97 2 figure figure NOUN cana-790 97 3 1 1 NUM cana-790 97 4 , , PUNCT cana-790 97 5 the the DET cana-790 97 6 attributes attribute NOUN cana-790 97 7 , , PUNCT cana-790 97 8 i.e. i.e. X cana-790 97 9 , , PUNCT cana-790 97 10 the the DET cana-790 97 11 15 15 NUM cana-790 97 12 facial facial ADJ cana-790 97 13 features feature NOUN cana-790 97 14 points point NOUN cana-790 97 15 and and CCONJ cana-790 97 16 their their PRON cana-790 97 17 location location NOUN cana-790 97 18 of of ADP cana-790 97 19 an an DET cana-790 97 20 object object NOUN cana-790 97 21 𝑒1 𝑒1 NOUN cana-790 97 22 is be AUX cana-790 97 23 shown show VERB cana-790 97 24 . . PUNCT cana-790 98 1 the the DET cana-790 98 2 corresponding correspond VERB cana-790 98 3 membership membership NOUN cana-790 98 4 values value NOUN cana-790 98 5 of of ADP cana-790 98 6 the the DET cana-790 98 7 object object NOUN cana-790 98 8 𝑒1 𝑒1 NOUN cana-790 98 9 for for ADP cana-790 98 10 the the DET cana-790 98 11 15 15 NUM cana-790 98 12 facial facial ADJ cana-790 98 13 features feature NOUN cana-790 98 14 is be AUX cana-790 98 15 given give VERB cana-790 98 16 in in ADP cana-790 98 17 table table NOUN cana-790 98 18 4 4 NUM cana-790 98 19 . . PUNCT cana-790 98 20 table table NOUN cana-790 98 21 4 4 NUM cana-790 98 22 : : PUNCT cana-790 98 23 location location NOUN cana-790 98 24 of of ADP cana-790 98 25 15 15 NUM cana-790 98 26 facial facial ADJ cana-790 98 27 feature feature NOUN cana-790 98 28 points point NOUN cana-790 98 29 of of ADP cana-790 98 30 an an DET cana-790 98 31 object object NOUN cana-790 98 32 point point NOUN cana-790 98 33 coordinates coordinate NOUN cana-790 98 34 name name VERB cana-790 98 35 ππ’‚π’Š(𝒙 ππ’‚π’Š(𝒙 PROPN cana-790 98 36 ) ) PUNCT cana-790 98 37 a a DET cana-790 98 38 ( ( PUNCT cana-790 98 39 𝐿𝐢π‘₯ 𝐿𝐢π‘₯ NOUN cana-790 98 40 , , PUNCT cana-790 98 41 𝐿𝐢𝑦 𝐿𝐢𝑦 NOUN cana-790 98 42 ) ) PUNCT cana-790 98 43 left leave VERB cana-790 98 44 eye eye NOUN cana-790 98 45 centre centre NOUN cana-790 98 46 ( ( PUNCT cana-790 98 47 0.680 0.680 NUM cana-790 98 48 , , PUNCT cana-790 98 49 0.852 0.852 NUM cana-790 98 50 ) ) PUNCT cana-790 98 51 b b NOUN cana-790 98 52 ( ( PUNCT cana-790 98 53 𝑅𝐢π‘₯ 𝑅𝐢π‘₯ NOUN cana-790 98 54 , , PUNCT cana-790 98 55 𝑅𝐢𝑦 𝑅𝐢𝑦 NOUN cana-790 98 56 ) ) PUNCT cana-790 98 57 right right ADJ cana-790 98 58 eye eye NOUN cana-790 98 59 centre centre NOUN cana-790 98 60 ( ( PUNCT cana-790 98 61 0.577 0.577 NUM cana-790 98 62 , , PUNCT cana-790 98 63 0.750 0.750 NUM cana-790 98 64 ) ) PUNCT cana-790 98 65 c c NOUN cana-790 98 66 ( ( PUNCT cana-790 98 67 𝐿𝐼π‘₯ 𝐿𝐼π‘₯ PROPN cana-790 98 68 , , PUNCT cana-790 98 69 𝐿𝐼𝑦 𝐿𝐼𝑦 PROPN cana-790 98 70 ) ) PUNCT cana-790 98 71 left leave VERB cana-790 98 72 eye eye NOUN cana-790 98 73 inner inner ADJ cana-790 98 74 corner corner NOUN cana-790 98 75 ( ( PUNCT cana-790 98 76 0.814 0.814 NUM cana-790 98 77 , , PUNCT cana-790 98 78 0.784 0.784 NUM cana-790 98 79 ) ) PUNCT cana-790 98 80 d d NOUN cana-790 98 81 ( ( PUNCT cana-790 98 82 𝐿𝑂π‘₯ 𝐿𝑂π‘₯ NOUN cana-790 98 83 , , PUNCT cana-790 98 84 𝐿𝑂𝑦 𝐿𝑂𝑦 NOUN cana-790 98 85 ) ) PUNCT cana-790 98 86 left leave VERB cana-790 98 87 eye eye NOUN cana-790 98 88 outer outer ADJ cana-790 98 89 corner corner NOUN cana-790 98 90 ( ( PUNCT cana-790 98 91 0.505 0.505 NUM cana-790 98 92 , , PUNCT cana-790 98 93 0.852 0.852 NUM cana-790 98 94 ) ) PUNCT cana-790 98 95 e e NOUN cana-790 98 96 ( ( PUNCT cana-790 98 97 𝑅𝐼π‘₯ 𝑅𝐼π‘₯ NOUN cana-790 98 98 , , PUNCT cana-790 98 99 𝑅𝐼𝑦 𝑅𝐼𝑦 NOUN cana-790 98 100 ) ) PUNCT cana-790 98 101 right right ADJ cana-790 98 102 eye eye NOUN cana-790 98 103 inner inner ADJ cana-790 98 104 corner corner NOUN cana-790 98 105 ( ( PUNCT cana-790 98 106 0.753 0.753 NUM cana-790 98 107 , , PUNCT cana-790 98 108 0.739 0.739 NUM cana-790 98 109 ) ) PUNCT cana-790 98 110 f f NOUN cana-790 98 111 ( ( PUNCT cana-790 98 112 𝑅𝑂π‘₯ 𝑅𝑂π‘₯ NOUN cana-790 98 113 , , PUNCT cana-790 98 114 𝑅𝑂𝑦 𝑅𝑂𝑦 NOUN cana-790 98 115 ) ) PUNCT cana-790 98 116 right right ADJ cana-790 98 117 eye eye NOUN cana-790 98 118 outer outer ADJ cana-790 98 119 corner corner NOUN cana-790 98 120 ( ( PUNCT cana-790 98 121 0.423 0.423 NUM cana-790 98 122 , , PUNCT cana-790 98 123 0.682 0.682 NUM cana-790 98 124 ) ) PUNCT cana-790 98 125 g g NOUN cana-790 98 126 ( ( PUNCT cana-790 98 127 𝐿𝐸𝐼π‘₯ 𝐿𝐸𝐼π‘₯ NOUN cana-790 98 128 , , PUNCT cana-790 98 129 𝐿𝐸𝐼𝑦 𝐿𝐸𝐼𝑦 NOUN cana-790 98 130 ) ) PUNCT cana-790 98 131 left leave VERB cana-790 98 132 eyebrow eyebrow NOUN cana-790 98 133 inner inner ADJ cana-790 98 134 corner corner NOUN cana-790 98 135 ( ( PUNCT cana-790 98 136 0.866 0.866 NUM cana-790 98 137 , , PUNCT cana-790 98 138 0.943 0.943 NUM cana-790 98 139 ) ) PUNCT cana-790 98 140 h h NOUN cana-790 98 141 ( ( PUNCT cana-790 98 142 𝐿𝐸𝑂π‘₯ 𝐿𝐸𝑂π‘₯ NOUN cana-790 98 143 , , PUNCT cana-790 98 144 𝐿𝐸𝑂𝑦 𝐿𝐸𝑂𝑦 PROPN cana-790 98 145 ) ) PUNCT cana-790 98 146 left leave VERB cana-790 98 147 eyebrow eyebrow NOUN cana-790 98 148 outer outer ADJ cana-790 98 149 corner corner NOUN cana-790 98 150 ( ( PUNCT cana-790 98 151 0.330 0.330 NUM cana-790 98 152 , , PUNCT cana-790 98 153 0.977 0.977 NUM cana-790 98 154 ) ) PUNCT cana-790 99 1 i i PRON cana-790 99 2 ( ( PUNCT cana-790 99 3 𝑅𝐸𝐼π‘₯ 𝑅𝐸𝐼π‘₯ NOUN cana-790 99 4 , , PUNCT cana-790 99 5 𝑅𝐸𝐼𝑦 𝑅𝐸𝐼𝑦 NOUN cana-790 99 6 ) ) PUNCT cana-790 99 7 right right ADJ cana-790 99 8 eyebrow eyebrow PROPN cana-790 99 9 inner inner ADJ cana-790 99 10 corner corner NOUN cana-790 99 11 ( ( PUNCT cana-790 99 12 0.742 0.742 NUM cana-790 99 13 , , PUNCT cana-790 99 14 0.886 0.886 NUM cana-790 99 15 ) ) PUNCT cana-790 99 16 j j PROPN cana-790 99 17 ( ( PUNCT cana-790 99 18 𝑅𝐸𝑂π‘₯ 𝑅𝐸𝑂π‘₯ NOUN cana-790 99 19 , , PUNCT cana-790 99 20 𝑅𝐸𝑂𝑦 𝑅𝐸𝑂𝑦 NOUN cana-790 99 21 ) ) PUNCT cana-790 99 22 right right ADJ cana-790 99 23 eyebrow eyebrow NOUN cana-790 99 24 outer outer ADJ cana-790 99 25 corner corner NOUN cana-790 99 26 ( ( PUNCT cana-790 99 27 0.278 0.278 NUM cana-790 99 28 , , PUNCT cana-790 99 29 0.773 0.773 NUM cana-790 99 30 ) ) PUNCT cana-790 99 31 k k NOUN cana-790 99 32 ( ( PUNCT cana-790 99 33 𝑁𝐢π‘₯ 𝑁𝐢π‘₯ PROPN cana-790 99 34 , , PUNCT cana-790 99 35 𝑁𝐢𝑦 𝑁𝐢𝑦 PROPN cana-790 99 36 ) ) PUNCT cana-790 99 37 nose nose NOUN cana-790 99 38 tip tip NOUN cana-790 99 39 ( ( PUNCT cana-790 99 40 0.979,0.409 0.979,0.409 PROPN cana-790 99 41 ) ) PUNCT cana-790 99 42 l l NOUN cana-790 99 43 ( ( PUNCT cana-790 99 44 𝑀𝐿π‘₯ 𝑀𝐿π‘₯ NOUN cana-790 99 45 , , PUNCT cana-790 99 46 𝑀𝐿𝑦 𝑀𝐿𝑦 NOUN cana-790 99 47 ) ) PUNCT cana-790 99 48 mouth mouth NOUN cana-790 99 49 left leave VERB cana-790 99 50 corner corner NOUN cana-790 99 51 ( ( PUNCT cana-790 99 52 0.639 0.639 NUM cana-790 99 53 , , PUNCT cana-790 99 54 0.205 0.205 NUM cana-790 99 55 ) ) PUNCT cana-790 99 56 m m PROPN cana-790 99 57 ( ( PUNCT cana-790 99 58 𝑀𝑅π‘₯ 𝑀𝑅π‘₯ X cana-790 99 59 , , PUNCT cana-790 99 60 𝑀𝑅𝑦 𝑀𝑅𝑦 ADJ cana-790 99 61 ) ) PUNCT cana-790 99 62 mouth mouth NOUN cana-790 99 63 right right ADJ cana-790 99 64 corner corner NOUN cana-790 99 65 ( ( PUNCT cana-790 99 66 0.773 0.773 NUM cana-790 99 67 , , PUNCT cana-790 99 68 0.148 0.148 NUM cana-790 99 69 ) ) PUNCT cana-790 99 70 n n CCONJ cana-790 99 71 ( ( PUNCT cana-790 99 72 𝑀𝑇π‘₯ 𝑀𝑇π‘₯ NOUN cana-790 99 73 , , PUNCT cana-790 99 74 𝑀𝑇𝑦 𝑀𝑇𝑦 PROPN cana-790 99 75 ) ) PUNCT cana-790 99 76 mouth mouth NOUN cana-790 99 77 centre centre PROPN cana-790 99 78 top top ADJ cana-790 99 79 lip lip NOUN cana-790 99 80 ( ( PUNCT cana-790 99 81 0.907 0.907 NUM cana-790 99 82 , , PUNCT cana-790 99 83 0.148 0.148 NUM cana-790 99 84 ) ) PUNCT cana-790 99 85 o o NOUN cana-790 99 86 ( ( PUNCT cana-790 99 87 𝑀𝐡π‘₯ 𝑀𝐡π‘₯ PROPN cana-790 99 88 , , PUNCT cana-790 99 89 𝑀𝐡𝑦 𝑀𝐡𝑦 NOUN cana-790 99 90 ) ) PUNCT cana-790 99 91 mouth mouth NOUN cana-790 99 92 centre centre PROPN cana-790 99 93 bottom bottom ADJ cana-790 99 94 lip lip NOUN cana-790 99 95 ( ( PUNCT cana-790 99 96 0.907 0.907 NUM cana-790 99 97 , , PUNCT cana-790 99 98 0.911 0.911 NUM cana-790 99 99 ) ) PUNCT cana-790 99 100 communications communication NOUN cana-790 99 101 on on ADP cana-790 99 102 applied apply VERB cana-790 99 103 nonlinear nonlinear ADJ cana-790 99 104 analysis analysis NOUN cana-790 99 105 issn issn NOUN cana-790 99 106 : : PUNCT cana-790 99 107 1074 1074 NUM cana-790 99 108 - - PUNCT cana-790 99 109 133x 133x NUM cana-790 99 110 vol vol NOUN cana-790 99 111 31 31 NUM cana-790 99 112 no no NOUN cana-790 99 113 . . PUNCT cana-790 100 1 3s 3s NUM cana-790 100 2 ( ( PUNCT cana-790 100 3 2024 2024 NUM cana-790 100 4 ) ) PUNCT cana-790 100 5 410 410 NUM cana-790 100 6 https://internationalpubls.com https://internationalpubls.com X cana-790 100 7 figure figure NOUN cana-790 100 8 1 1 NUM cana-790 100 9 . . PUNCT cana-790 100 10 location location NOUN cana-790 100 11 of of ADP cana-790 100 12 15 15 NUM cana-790 100 13 facial facial ADJ cana-790 100 14 feature feature NOUN cana-790 100 15 points point NOUN cana-790 100 16 of of ADP cana-790 100 17 an an DET cana-790 100 18 object object NOUN cana-790 100 19 the the DET cana-790 100 20 steps step NOUN cana-790 100 21 involved involve VERB cana-790 100 22 in in ADP cana-790 100 23 the the DET cana-790 100 24 detection detection NOUN cana-790 100 25 of of ADP cana-790 100 26 whether whether SCONJ cana-790 100 27 an an DET cana-790 100 28 object object NOUN cana-790 100 29 𝑒𝑗 𝑒𝑗 NOUN cana-790 100 30 is be AUX cana-790 100 31 autistic autistic ADJ cana-790 100 32 or or CCONJ cana-790 100 33 otherwise otherwise ADV cana-790 100 34 are be AUX cana-790 100 35 as as SCONJ cana-790 100 36 follows follow VERB cana-790 100 37 . . PUNCT cana-790 101 1 ( ( PUNCT cana-790 101 2 1 1 X cana-790 101 3 ) ) PUNCT cana-790 101 4 compute compute NOUN cana-790 101 5 𝑁𝛽(𝑒𝑗 𝑁𝛽(𝑒𝑗 NOUN cana-790 101 6 ) ) PUNCT cana-790 101 7 and and CCONJ cana-790 101 8 οΏ½ οΏ½ PROPN cana-790 101 9 Μƒ Μƒ PROPN cana-790 101 10 οΏ½ οΏ½ NOUN cana-790 101 11 𝛽(𝑒𝑗 𝛽(𝑒𝑗 NOUN cana-790 101 12 ) ) PUNCT cana-790 101 13 ( ( PUNCT cana-790 101 14 2 2 X cana-790 101 15 ) ) PUNCT cana-790 101 16 compute compute NOUN cana-790 101 17 𝛽 𝛽 NOUN cana-790 101 18 βˆ’ βˆ’ NOUN cana-790 101 19 𝑅𝑆(𝑒𝑗 𝑅𝑆(𝑒𝑗 NOUN cana-790 101 20 ) ) PUNCT cana-790 102 1 = = SYM cana-790 102 2 ( ( PUNCT cana-790 102 3 οΏ½ οΏ½ PROPN cana-790 102 4 Μƒ Μƒ NOUN cana-790 102 5 οΏ½ οΏ½ NOUN cana-790 102 6 𝛽(𝑒𝑗 𝛽(𝑒𝑗 NOUN cana-790 102 7 ) ) PUNCT cana-790 102 8 _ _ PROPN cana-790 102 9 , , PUNCT cana-790 102 10 οΏ½ οΏ½ PROPN cana-790 102 11 Μƒ Μƒ PROPN cana-790 102 12 οΏ½ οΏ½ NOUN cana-790 102 13 𝛽(𝑒𝑗)βˆ’ 𝛽(𝑒𝑗)βˆ’ NOUN cana-790 102 14 ) ) PUNCT cana-790 102 15 ( ( PUNCT cana-790 102 16 3 3 X cana-790 102 17 ) ) PUNCT cana-790 102 18 if if SCONJ cana-790 102 19 π›Ώπ‘‘π‘Ž(𝑒𝑗 π›Ώπ‘‘π‘Ž(𝑒𝑗 NOUN cana-790 102 20 ) ) PUNCT cana-790 102 21 ≀ ≀ NUM cana-790 102 22 𝛼 𝛼 X cana-790 102 23 , , PUNCT cana-790 102 24 then then ADV cana-790 102 25 𝑒𝑗 𝑒𝑗 NOUN cana-790 102 26 and and CCONJ cana-790 102 27 οΏ½ οΏ½ PROPN cana-790 102 28 Μƒ Μƒ PROPN cana-790 102 29 οΏ½ οΏ½ NOUN cana-790 102 30 𝛽(𝑒𝑗 𝛽(𝑒𝑗 NOUN cana-790 102 31 ) ) PUNCT cana-790 102 32 _ _ PRON cana-790 102 33 is be AUX cana-790 102 34 autistic autistic ADJ cana-790 102 35 . . PUNCT cana-790 103 1 else else ADV cana-790 103 2 𝑒𝑗 𝑒𝑗 PROPN cana-790 103 3 and and CCONJ cana-790 103 4 οΏ½ οΏ½ PROPN cana-790 103 5 Μƒ Μƒ PROPN cana-790 103 6 οΏ½ οΏ½ NOUN cana-790 103 7 𝛽(𝑒𝑗 𝛽(𝑒𝑗 NOUN cana-790 103 8 ) ) PUNCT cana-790 103 9 _ _ PRON cana-790 103 10 is be AUX cana-790 103 11 not not PART cana-790 103 12 autistic autistic ADJ cana-790 103 13 . . PUNCT cana-790 104 1 where where SCONJ cana-790 104 2 π›Ώπ‘‘π‘Ž(𝑒𝑗 π›Ώπ‘‘π‘Ž(𝑒𝑗 NOUN cana-790 104 3 ) ) PUNCT cana-790 104 4 = = SYM cana-790 104 5 π‘Žπ‘£π‘’π‘Ÿπ‘Žπ‘”π‘’(|πœ‡π‘Žπ‘– π‘Žπ‘£π‘’π‘Ÿπ‘Žπ‘”π‘’(|πœ‡π‘Žπ‘– ADJ cana-790 104 6 ( ( PUNCT cana-790 104 7 𝑒 𝑒 X cana-790 104 8 ) ) PUNCT cana-790 104 9 βˆ’ βˆ’ PROPN cana-790 104 10 πœ‡π‘ π‘‘π‘‘π΄π‘’π‘‘π‘Žπ‘– πœ‡π‘ π‘‘π‘‘π΄π‘’π‘‘π‘Žπ‘– X cana-790 104 11 ( ( PUNCT cana-790 104 12 𝑒)| 𝑒)| PROPN cana-790 104 13 ) ) PUNCT cana-790 104 14 represents represent VERB cana-790 104 15 the the DET cana-790 104 16 deviation deviation NOUN cana-790 104 17 of of ADP cana-790 104 18 the the DET cana-790 104 19 object object NOUN cana-790 104 20 from from ADP cana-790 104 21 autistic autistic ADJ cana-790 104 22 people people NOUN cana-790 104 23 , , PUNCT cana-790 104 24 πœ‡π‘ π‘‘π‘‘π΄π‘’π‘‘π‘Žπ‘– πœ‡π‘ π‘‘π‘‘π΄π‘’π‘‘π‘Žπ‘– X cana-790 104 25 ( ( PUNCT cana-790 104 26 𝑒 𝑒 X cana-790 104 27 ) ) PUNCT cana-790 104 28 is be AUX cana-790 104 29 the the DET cana-790 104 30 mean mean NOUN cana-790 104 31 of of ADP cana-790 104 32 πœ‡π‘Žπ‘– πœ‡π‘Žπ‘– PROPN cana-790 104 33 ( ( PUNCT cana-790 104 34 𝑒 𝑒 NOUN cana-790 104 35 ) ) PUNCT cana-790 104 36 of of ADP cana-790 104 37 the the DET cana-790 104 38 autistic autistic ADJ cana-790 104 39 people people NOUN cana-790 104 40 . . PUNCT cana-790 105 1 here here ADV cana-790 105 2 , , PUNCT cana-790 105 3 𝛼 𝛼 NOUN cana-790 105 4 = = SYM cana-790 105 5 0.1 0.1 NUM cana-790 105 6 following follow VERB cana-790 105 7 thorough thorough ADJ cana-790 105 8 experimentation experimentation NOUN cana-790 105 9 and and CCONJ cana-790 105 10 expert expert NOUN cana-790 105 11 insights insight NOUN cana-790 105 12 . . PUNCT cana-790 106 1 by by ADP cana-790 106 2 comparing compare VERB cana-790 106 3 π›Ώπ‘‘π‘Ž(𝑒𝑗 π›Ώπ‘‘π‘Ž(𝑒𝑗 NOUN cana-790 106 4 ) ) PUNCT cana-790 106 5 with with ADP cana-790 106 6 the the DET cana-790 106 7 threshold threshold NOUN cana-790 106 8 of of ADP cana-790 106 9 Ξ± Ξ± PRON cana-790 106 10 , , PUNCT cana-790 106 11 the the DET cana-790 106 12 system system NOUN cana-790 106 13 detects detect VERB cana-790 106 14 whether whether SCONJ cana-790 106 15 the the DET cana-790 106 16 object object NOUN cana-790 106 17 𝑒𝑗 𝑒𝑗 NOUN cana-790 106 18 is be AUX cana-790 106 19 autistic autistic ADJ cana-790 106 20 or or CCONJ cana-790 106 21 otherwise otherwise ADV cana-790 106 22 . . PUNCT cana-790 107 1 if if SCONJ cana-790 107 2 the the DET cana-790 107 3 object object NOUN cana-790 107 4 𝑒𝑗 𝑒𝑗 NOUN cana-790 107 5 is be AUX cana-790 107 6 autistic autistic ADJ cana-790 107 7 , , PUNCT cana-790 107 8 then then ADV cana-790 107 9 the the DET cana-790 107 10 objects object NOUN cana-790 107 11 in in ADP cana-790 107 12 the the DET cana-790 107 13 lower low ADJ cana-790 107 14 approximation approximation NOUN cana-790 107 15 space space NOUN cana-790 107 16 of of ADP cana-790 107 17 𝑒𝑗 𝑒𝑗 X cana-790 107 18 ( ( PUNCT cana-790 107 19 οΏ½ οΏ½ PROPN cana-790 107 20 Μƒ Μƒ NOUN cana-790 107 21 οΏ½ οΏ½ NOUN cana-790 107 22 𝛽(𝑒𝑗 𝛽(𝑒𝑗 NOUN cana-790 107 23 ) ) PUNCT cana-790 107 24 _ _ PRON cana-790 107 25 ) ) PUNCT cana-790 107 26 are be AUX cana-790 107 27 also also ADV cana-790 107 28 autistic autistic ADJ cana-790 107 29 since since SCONJ cana-790 107 30 they they PRON cana-790 107 31 are be AUX cana-790 107 32 in in ADP cana-790 107 33 the the DET cana-790 107 34 closest close ADJ cana-790 107 35 neighborhood neighborhood NOUN cana-790 107 36 of of ADP cana-790 107 37 𝑒𝑗 𝑒𝑗 NOUN cana-790 107 38 . . PUNCT cana-790 108 1 the the DET cana-790 108 2 upper upper ADJ cana-790 108 3 approximation approximation NOUN cana-790 108 4 space space NOUN cana-790 108 5 of of ADP cana-790 108 6 the the DET cana-790 108 7 object object NOUN cana-790 108 8 𝑒𝑗 𝑒𝑗 NOUN cana-790 108 9 represent represent VERB cana-790 108 10 the the DET cana-790 108 11 objects object NOUN cana-790 108 12 that that PRON cana-790 108 13 might might AUX cana-790 108 14 possibly possibly ADV cana-790 108 15 be be AUX cana-790 108 16 present present ADJ cana-790 108 17 in in ADP cana-790 108 18 the the DET cana-790 108 19 closest close ADJ cana-790 108 20 neighborhood neighborhood NOUN cana-790 108 21 of of ADP cana-790 108 22 𝑒𝑗 𝑒𝑗 NOUN cana-790 108 23 . . PUNCT cana-790 109 1 hence hence ADV cana-790 109 2 , , PUNCT cana-790 109 3 the the DET cana-790 109 4 level level NOUN cana-790 109 5 of of ADP cana-790 109 6 autism autism NOUN cana-790 109 7 might might AUX cana-790 109 8 vary vary VERB cana-790 109 9 . . PUNCT cana-790 110 1 let let VERB cana-790 110 2 us we PRON cana-790 110 3 check check VERB cana-790 110 4 whether whether SCONJ cana-790 110 5 an an DET cana-790 110 6 object object NOUN cana-790 110 7 𝑒20 𝑒20 NOUN cana-790 110 8 ∈ ∈ PROPN cana-790 110 9 π‘ˆ π‘ˆ PROPN cana-790 110 10 is be AUX cana-790 110 11 autistic autistic ADJ cana-790 110 12 or or CCONJ cana-790 110 13 otherwise otherwise ADV cana-790 110 14 . . PUNCT cana-790 111 1 for for ADP cana-790 111 2 𝛽 𝛽 NOUN cana-790 111 3 = = SYM cana-790 111 4 0.4 0.4 NUM cana-790 111 5 , , PUNCT cana-790 111 6 the the DET cana-790 111 7 corresponding corresponding ADJ cana-790 111 8 𝛽reduct 𝛽reduct NOUN cana-790 111 9 and and CCONJ cana-790 111 10 fuzzy fuzzy ADJ cana-790 111 11 𝛽-neighborhood 𝛽-neighborhood PROPN cana-790 111 12 are be AUX cana-790 111 13 given give VERB cana-790 111 14 in in ADP cana-790 111 15 table table NOUN cana-790 111 16 5 5 NUM cana-790 111 17 and and CCONJ cana-790 111 18 the the DET cana-790 111 19 fuzzy fuzzy ADJ cana-790 111 20 𝛽-neighborhood 𝛽-neighborhood PROPN cana-790 111 21 based base VERB cana-790 111 22 rough rough ADJ cana-790 111 23 set set NOUN cana-790 111 24 of of ADP cana-790 111 25 𝑒20 𝑒20 NOUN cana-790 111 26 is be AUX cana-790 111 27 given give VERB cana-790 111 28 in in ADP cana-790 111 29 table table NOUN cana-790 111 30 6 6 NUM cana-790 111 31 respectively respectively ADV cana-790 111 32 . . PUNCT cana-790 112 1 the the DET cana-790 112 2 deviation deviation NOUN cana-790 112 3 of of ADP cana-790 112 4 the the DET cana-790 112 5 object object NOUN cana-790 112 6 𝑒20 𝑒20 NOUN cana-790 112 7 and and CCONJ cana-790 112 8 some some PRON cana-790 112 9 of of ADP cana-790 112 10 its its PRON cana-790 112 11 neighbors neighbor NOUN cana-790 112 12 in in ADP cana-790 112 13 the the DET cana-790 112 14 lower low ADJ cana-790 112 15 approximation approximation NOUN cana-790 112 16 space space NOUN cana-790 112 17 from from ADP cana-790 112 18 the the DET cana-790 112 19 standard standard ADJ cana-790 112 20 autistic autistic ADJ cana-790 112 21 object object NOUN cana-790 112 22 is be AUX cana-790 112 23 given give VERB cana-790 112 24 in in ADP cana-790 112 25 table table NOUN cana-790 112 26 7 7 NUM cana-790 112 27 . . PUNCT cana-790 112 28 table table NOUN cana-790 112 29 5 5 NUM cana-790 112 30 : : PUNCT cana-790 112 31 𝑁0.4(𝑒20 𝑁0.4(𝑒20 X cana-790 112 32 ) ) PUNCT cana-790 112 33 π‘Žπ‘›π‘‘ π‘Žπ‘›π‘‘ ADJ cana-790 112 34 οΏ½ οΏ½ PROPN cana-790 112 35 Μƒ Μƒ PROPN cana-790 112 36 οΏ½ οΏ½ NOUN cana-790 112 37 0.4(𝑒20 0.4(𝑒20 NUM cana-790 112 38 ) ) PUNCT cana-790 113 1 π‘ˆ π‘ˆ PROPN cana-790 113 2 π‘΅πŸŽ.4(π’–πŸπŸŽ π‘΅πŸŽ.4(π’–πŸπŸŽ NOUN cana-790 113 3 ) ) PUNCT cana-790 113 4 οΏ½ οΏ½ PROPN cana-790 113 5 Μƒ Μƒ PROPN cana-790 113 6 οΏ½ οΏ½ NOUN cana-790 113 7 𝟎.4(π’–πŸπŸŽ 𝟎.4(π’–πŸπŸŽ NOUN cana-790 113 8 ) ) PUNCT cana-790 113 9 𝑒20 𝑒20 NOUN cana-790 114 1 [ [ X cana-790 114 2 π‘Ž1 π‘Ž1 X cana-790 114 3 , , PUNCT cana-790 114 4 π‘Ž2 π‘Ž2 PROPN cana-790 114 5 , , PUNCT cana-790 114 6 π‘Ž3 π‘Ž3 PROPN cana-790 114 7 , , PUNCT cana-790 114 8 π‘Ž4 π‘Ž4 PROPN cana-790 114 9 , , PUNCT cana-790 114 10 π‘Ž5 π‘Ž5 PROPN cana-790 114 11 , , PUNCT cana-790 114 12 π‘Ž6 π‘Ž6 NOUN cana-790 114 13 , , PUNCT cana-790 114 14 π‘Ž7 π‘Ž7 NOUN cana-790 114 15 , , PUNCT cana-790 114 16 π‘Ž8 π‘Ž8 ADJ cana-790 114 17 , , PUNCT cana-790 114 18 π‘Ž9 π‘Ž9 ADJ cana-790 114 19 , , PUNCT cana-790 114 20 π‘Ž10 π‘Ž10 NOUN cana-790 114 21 , , PUNCT cana-790 114 22 π‘Ž11 π‘Ž11 PROPN cana-790 114 23 , , PUNCT cana-790 114 24 π‘Ž12 π‘Ž12 NOUN cana-790 114 25 , , PUNCT cana-790 114 26 π‘Ž13 π‘Ž13 NOUN cana-790 114 27 , , PUNCT cana-790 114 28 π‘Ž14 π‘Ž14 NOUN cana-790 114 29 ] ] PUNCT cana-790 115 1 [ [ X cana-790 115 2 𝑒20 𝑒20 ADJ cana-790 115 3 , , PUNCT cana-790 115 4 𝑒21 𝑒21 VERB cana-790 115 5 , , PUNCT cana-790 115 6 𝑒73 𝑒73 NOUN cana-790 115 7 , , PUNCT cana-790 115 8 𝑒76 𝑒76 NOUN cana-790 115 9 , , PUNCT cana-790 115 10 𝑒77 𝑒77 NOUN cana-790 115 11 , , PUNCT cana-790 115 12 𝑒85 𝑒85 NOUN cana-790 115 13 , , PUNCT cana-790 115 14 𝑒86 𝑒86 NOUN cana-790 115 15 , , PUNCT cana-790 115 16 𝑒89 𝑒89 NOUN cana-790 115 17 , , PUNCT cana-790 115 18 𝑒94 𝑒94 PROPN cana-790 115 19 , , PUNCT cana-790 115 20 𝑒96 𝑒96 PROPN cana-790 115 21 , , PUNCT cana-790 115 22 𝑒99,𝑒188 𝑒99,𝑒188 NOUN cana-790 115 23 ] ] PUNCT cana-790 115 24 communications communication NOUN cana-790 115 25 on on ADP cana-790 115 26 applied apply VERB cana-790 115 27 nonlinear nonlinear ADJ cana-790 115 28 analysis analysis NOUN cana-790 115 29 issn issn NOUN cana-790 115 30 : : PUNCT cana-790 115 31 1074 1074 NUM cana-790 115 32 - - PUNCT cana-790 115 33 133x 133x NUM cana-790 115 34 vol vol NOUN cana-790 115 35 31 31 NUM cana-790 115 36 no no NOUN cana-790 115 37 . . PUNCT cana-790 116 1 3s 3s NUM cana-790 116 2 ( ( PUNCT cana-790 116 3 2024 2024 NUM cana-790 116 4 ) ) PUNCT cana-790 116 5 411 411 NUM cana-790 116 6 https://internationalpubls.com https://internationalpubls.com X cana-790 116 7 table table NOUN cana-790 116 8 6 6 NUM cana-790 116 9 : : SYM cana-790 116 10 0.4 0.4 NUM cana-790 116 11 βˆ’ βˆ’ PROPN cana-790 116 12 𝑅𝑆(𝑒20 𝑅𝑆(𝑒20 PROPN cana-790 116 13 ) ) PUNCT cana-790 116 14 = = PRON cana-790 116 15 ( ( PUNCT cana-790 116 16 οΏ½ οΏ½ PROPN cana-790 116 17 Μƒ Μƒ NOUN cana-790 116 18 οΏ½ οΏ½ NOUN cana-790 116 19 0.4(𝑒20 0.4(𝑒20 NUM cana-790 116 20 ) ) PUNCT cana-790 117 1 _ _ NOUN cana-790 117 2 , , PUNCT cana-790 117 3 οΏ½ οΏ½ PROPN cana-790 117 4 Μƒ Μƒ PROPN cana-790 117 5 οΏ½ οΏ½ NOUN cana-790 117 6 0.4(𝑒20)βˆ’ 0.4(𝑒20)βˆ’ NOUN cana-790 117 7 ) ) PUNCT cana-790 117 8 π‘ˆ π‘ˆ PROPN cana-790 117 9 οΏ½ οΏ½ PROPN cana-790 117 10 Μƒ Μƒ PROPN cana-790 117 11 οΏ½ οΏ½ NOUN cana-790 117 12 𝟎.πŸ’(π’–πŸπŸŽ 𝟎.πŸ’(π’–πŸπŸŽ NUM cana-790 117 13 ) ) PUNCT cana-790 117 14 _ _ PUNCT cana-790 117 15 οΏ½ οΏ½ PROPN cana-790 117 16 Μƒ Μƒ NOUN cana-790 117 17 οΏ½ οΏ½ NOUN cana-790 117 18 𝟎.πŸ’(π’–πŸπŸŽ)βˆ’ 𝟎.πŸ’(π’–πŸπŸŽ)βˆ’ NOUN cana-790 117 19 𝑒20 𝑒20 NOUN cana-790 118 1 [ [ X cana-790 118 2 𝑒20 𝑒20 ADJ cana-790 118 3 , , PUNCT cana-790 118 4 𝑒73 𝑒73 NOUN cana-790 118 5 , , PUNCT cana-790 118 6 𝑒76 𝑒76 NOUN cana-790 118 7 , , PUNCT cana-790 118 8 𝑒77 𝑒77 NOUN cana-790 118 9 , , PUNCT cana-790 118 10 𝑒85 𝑒85 NOUN cana-790 118 11 , , PUNCT cana-790 118 12 𝑒86 𝑒86 NOUN cana-790 118 13 , , PUNCT cana-790 118 14 𝑒94 𝑒94 NOUN cana-790 118 15 , , PUNCT cana-790 118 16 𝑒188 𝑒188 PROPN cana-790 118 17 ] ] PUNCT cana-790 119 1 [ [ X cana-790 119 2 𝑒2 𝑒2 PROPN cana-790 119 3 , , PUNCT cana-790 119 4 𝑒4 𝑒4 NOUN cana-790 119 5 , , PUNCT cana-790 119 6 𝑒6 𝑒6 ADJ cana-790 119 7 , , PUNCT cana-790 119 8 𝑒8 𝑒8 NOUN cana-790 119 9 , , PUNCT cana-790 119 10 𝑒10 𝑒10 NOUN cana-790 119 11 , , PUNCT cana-790 119 12 𝑒12 𝑒12 NUM cana-790 119 13 , , PUNCT cana-790 119 14 𝑒18 𝑒18 NOUN cana-790 119 15 , , PUNCT cana-790 119 16 𝑒20 𝑒20 NOUN cana-790 119 17 , , PUNCT cana-790 119 18 𝑒21 𝑒21 ADJ cana-790 119 19 , , PUNCT cana-790 119 20 𝑒76 𝑒76 NOUN cana-790 119 21 , , PUNCT cana-790 119 22 𝑒77 𝑒77 NOUN cana-790 119 23 , , PUNCT cana-790 119 24 𝑒82 𝑒82 NOUN cana-790 119 25 , , PUNCT cana-790 119 26 𝑒83 𝑒83 ADJ cana-790 119 27 , , PUNCT cana-790 119 28 𝑒85 𝑒85 ADJ cana-790 119 29 , , PUNCT cana-790 119 30 𝑒86 𝑒86 NOUN cana-790 119 31 , , PUNCT cana-790 119 32 𝑒89 𝑒89 NOUN cana-790 119 33 , , PUNCT cana-790 119 34 𝑒99,𝑒94 𝑒99,𝑒94 NOUN cana-790 119 35 , , PUNCT cana-790 119 36 𝑒96𝑒188 𝑒96𝑒188 PROPN cana-790 119 37 ] ] PUNCT cana-790 119 38 table table NOUN cana-790 119 39 6 6 NUM cana-790 119 40 : : SYM cana-790 119 41 0.4 0.4 NUM cana-790 119 42 βˆ’ βˆ’ PROPN cana-790 119 43 𝑅𝑆(𝑒20 𝑅𝑆(𝑒20 PROPN cana-790 119 44 ) ) PUNCT cana-790 119 45 = = PRON cana-790 119 46 ( ( PUNCT cana-790 119 47 οΏ½ οΏ½ PROPN cana-790 119 48 Μƒ Μƒ NOUN cana-790 119 49 οΏ½ οΏ½ NOUN cana-790 119 50 0.4(𝑒20 0.4(𝑒20 NUM cana-790 119 51 ) ) PUNCT cana-790 120 1 _ _ NOUN cana-790 120 2 , , PUNCT cana-790 120 3 οΏ½ οΏ½ PROPN cana-790 120 4 Μƒ Μƒ PROPN cana-790 120 5 οΏ½ οΏ½ NOUN cana-790 120 6 0.4(𝑒20)βˆ’ 0.4(𝑒20)βˆ’ NOUN cana-790 120 7 ) ) PUNCT cana-790 120 8 𝑼 𝑼 NOUN cana-790 120 9 πœΉπ’…π’‚(𝒖𝒋 πœΉπ’…π’‚(𝒖𝒋 NOUN cana-790 120 10 ) ) PUNCT cana-790 120 11 𝑒20 𝑒20 NOUN cana-790 120 12 0.0891 0.0891 NUM cana-790 120 13 𝑒85 𝑒85 ADJ cana-790 120 14 0.0862 0.0862 NUM cana-790 120 15 𝑒77 𝑒77 NOUN cana-790 120 16 0.0951 0.0951 NUM cana-790 120 17 𝑒86 𝑒86 NOUN cana-790 120 18 0.0590 0.0590 NUM cana-790 121 1 𝑒188 𝑒188 NUM cana-790 121 2 0.0575 0.0575 NUM cana-790 121 3 it it PRON cana-790 121 4 can can AUX cana-790 121 5 be be AUX cana-790 121 6 inferred infer VERB cana-790 121 7 from from ADP cana-790 121 8 table table NOUN cana-790 121 9 7 7 NUM cana-790 121 10 that that SCONJ cana-790 121 11 not not PART cana-790 121 12 only only ADV cana-790 121 13 π›Ώπ‘‘π‘Ž(𝑒20 π›Ώπ‘‘π‘Ž(𝑒20 PROPN cana-790 121 14 ) ) PUNCT cana-790 121 15 is be AUX cana-790 121 16 less less ADJ cana-790 121 17 than than ADP cana-790 121 18 0.1 0.1 NUM cana-790 121 19 but but CCONJ cana-790 121 20 also also ADV cana-790 121 21 the the DET cana-790 121 22 deviation deviation NOUN cana-790 121 23 of of ADP cana-790 121 24 π›Ώπ‘‘π‘Ž(u π›Ώπ‘‘π‘Ž(u PROPN cana-790 121 25 ) ) PUNCT cana-790 121 26 for for ADP cana-790 121 27 all all DET cana-790 121 28 the the DET cana-790 121 29 images image NOUN cana-790 121 30 in in ADP cana-790 121 31 the the DET cana-790 121 32 neighborhood neighborhood NOUN cana-790 121 33 of of ADP cana-790 121 34 𝑒20 𝑒20 NOUN cana-790 121 35 is be AUX cana-790 121 36 less less ADJ cana-790 121 37 than than ADP cana-790 121 38 0.1 0.1 NUM cana-790 121 39 . . PUNCT cana-790 122 1 hence hence ADV cana-790 122 2 , , PUNCT cana-790 122 3 it it PRON cana-790 122 4 can can AUX cana-790 122 5 be be AUX cana-790 122 6 said say VERB cana-790 122 7 that that SCONJ cana-790 122 8 all all DET cana-790 122 9 the the DET cana-790 122 10 images image NOUN cana-790 122 11 in in ADP cana-790 122 12 οΏ½ οΏ½ PROPN cana-790 122 13 Μƒ Μƒ NOUN cana-790 122 14 οΏ½ οΏ½ NOUN cana-790 122 15 0.4(𝑒20 0.4(𝑒20 NUM cana-790 122 16 ) ) PUNCT cana-790 123 1 _ _ NOUN cana-790 123 2 are be AUX cana-790 123 3 autistic autistic ADJ cana-790 123 4 . . PUNCT cana-790 124 1 thus thus ADV cana-790 124 2 , , PUNCT cana-790 124 3 it it PRON cana-790 124 4 can can AUX cana-790 124 5 be be AUX cana-790 124 6 observed observe VERB cana-790 124 7 that that SCONJ cana-790 124 8 the the DET cana-790 124 9 model model NOUN cana-790 124 10 has have AUX cana-790 124 11 impeccably impeccably ADV cana-790 124 12 captured capture VERB cana-790 124 13 the the DET cana-790 124 14 characteristics characteristic NOUN cana-790 124 15 of of ADP cana-790 124 16 the the DET cana-790 124 17 chosen choose VERB cana-790 124 18 object object NOUN cana-790 124 19 along along ADP cana-790 124 20 with with ADP cana-790 124 21 its its PRON cana-790 124 22 neighbors neighbor NOUN cana-790 124 23 with with ADP cana-790 124 24 expected expect VERB cana-790 124 25 precision precision NOUN cana-790 124 26 . . PUNCT cana-790 125 1 for for ADP cana-790 125 2 testing testing NOUN cana-790 125 3 , , PUNCT cana-790 125 4 we we PRON cana-790 125 5 consider consider VERB cana-790 125 6 two two NUM cana-790 125 7 unseen unseen ADJ cana-790 125 8 images image NOUN cana-790 125 9 . . PUNCT cana-790 126 1 on on ADP cana-790 126 2 providing provide VERB cana-790 126 3 these these DET cana-790 126 4 inputs input NOUN cana-790 126 5 , , PUNCT cana-790 126 6 the the DET cana-790 126 7 model model NOUN cana-790 126 8 successfully successfully ADV cana-790 126 9 returned return VERB cana-790 126 10 its its PRON cana-790 126 11 decisions decision NOUN cana-790 126 12 in in ADP cana-790 126 13 almost almost ADV cana-790 126 14 few few ADJ cana-790 126 15 seconds second NOUN cana-790 126 16 , , PUNCT cana-790 126 17 the the DET cana-790 126 18 results result NOUN cana-790 126 19 of of ADP cana-790 126 20 which which PRON cana-790 126 21 are be AUX cana-790 126 22 given give VERB cana-790 126 23 in in ADP cana-790 126 24 figure figure NOUN cana-790 126 25 2 2 NUM cana-790 126 26 . . PUNCT cana-790 126 27 for for ADP cana-790 126 28 the the DET cana-790 126 29 testobj1 testobj1 PROPN cana-790 126 30 , , PUNCT cana-790 126 31 as as ADP cana-790 126 32 the the DET cana-790 126 33 deviation deviation NOUN cana-790 126 34 π›Ώπ‘‘π‘Ž π›Ώπ‘‘π‘Ž NOUN cana-790 126 35 = = NOUN cana-790 126 36 0.047901 0.047901 NUM cana-790 126 37 ≀ ≀ NUM cana-790 126 38 0.1 0.1 NUM cana-790 126 39 , , PUNCT cana-790 126 40 the the DET cana-790 126 41 0.4 0.4 NUM cana-790 126 42 βˆ’ βˆ’ PROPN cana-790 126 43 𝑅𝑆 𝑅𝑆 PROPN cana-790 126 44 model model NOUN cana-790 126 45 detects detect VERB cana-790 126 46 it it PRON cana-790 126 47 to to PART cana-790 126 48 be be AUX cana-790 126 49 autistic autistic ADJ cana-790 126 50 . . PUNCT cana-790 127 1 and and CCONJ cana-790 127 2 for for ADP cana-790 127 3 the the DET cana-790 127 4 testobj2 testobj2 NOUN cana-790 127 5 , , PUNCT cana-790 127 6 as as SCONJ cana-790 127 7 the the DET cana-790 127 8 deviation deviation NOUN cana-790 127 9 π›Ώπ‘‘π‘Ž π›Ώπ‘‘π‘Ž NOUN cana-790 127 10 = = SYM cana-790 127 11 0.1930 0.1930 NUM cana-790 127 12 β‰₯ β‰₯ NUM cana-790 127 13 0.1 0.1 NUM cana-790 127 14 , , PUNCT cana-790 127 15 the the DET cana-790 127 16 0.4 0.4 NUM cana-790 127 17 βˆ’ βˆ’ PROPN cana-790 127 18 𝑅𝑆 𝑅𝑆 PROPN cana-790 127 19 model model NOUN cana-790 127 20 detects detect VERB cana-790 127 21 it it PRON cana-790 127 22 to to PART cana-790 127 23 be be AUX cana-790 127 24 non non ADJ cana-790 127 25 - - ADJ cana-790 127 26 autistic autistic ADJ cana-790 127 27 . . PUNCT cana-790 128 1 figure figure NOUN cana-790 128 2 2 2 NUM cana-790 128 3 . . PUNCT cana-790 129 1 testing test VERB cana-790 129 2 communications communication NOUN cana-790 129 3 on on ADP cana-790 129 4 applied apply VERB cana-790 129 5 nonlinear nonlinear ADJ cana-790 129 6 analysis analysis NOUN cana-790 129 7 issn issn NOUN cana-790 129 8 : : PUNCT cana-790 129 9 1074 1074 NUM cana-790 129 10 - - PUNCT cana-790 129 11 133x 133x NUM cana-790 129 12 vol vol NOUN cana-790 129 13 31 31 NUM cana-790 129 14 no no NOUN cana-790 129 15 . . PUNCT cana-790 130 1 3s 3s NUM cana-790 130 2 ( ( PUNCT cana-790 130 3 2024 2024 NUM cana-790 130 4 ) ) PUNCT cana-790 130 5 412 412 NUM cana-790 130 6 https://internationalpubls.com https://internationalpubls.com X cana-790 130 7 the the DET cana-790 130 8 𝑅𝑆-model 𝑅𝑆-model PROPN cana-790 130 9 can can AUX cana-790 130 10 also also ADV cana-790 130 11 be be AUX cana-790 130 12 used use VERB cana-790 130 13 to to PART cana-790 130 14 determine determine VERB cana-790 130 15 the the DET cana-790 130 16 levels level NOUN cana-790 130 17 in in ADP cana-790 130 18 autism autism NOUN cana-790 130 19 exhibited exhibit VERB cana-790 130 20 by by ADP cana-790 130 21 individuals individual NOUN cana-790 130 22 . . PUNCT cana-790 131 1 diagnostic diagnostic ADJ cana-790 131 2 and and CCONJ cana-790 131 3 statistical statistical ADJ cana-790 131 4 manual manual NOUN cana-790 131 5 of of ADP cana-790 131 6 mental mental ADJ cana-790 131 7 disorders disorder NOUN cana-790 131 8 describes describe VERB cana-790 131 9 three three NUM cana-790 131 10 levels level NOUN cana-790 131 11 in in ADP cana-790 131 12 the the DET cana-790 131 13 autism autism NOUN cana-790 131 14 spectrum spectrum NOUN cana-790 131 15 disorder disorder NOUN cana-790 131 16 . . PUNCT cana-790 132 1 these these DET cana-790 132 2 levels level NOUN cana-790 132 3 depend depend VERB cana-790 132 4 on on ADP cana-790 132 5 the the DET cana-790 132 6 severity severity NOUN cana-790 132 7 of of ADP cana-790 132 8 the the DET cana-790 132 9 differences difference NOUN cana-790 132 10 [ [ X cana-790 132 11 22 22 NUM cana-790 132 12 ] ] PUNCT cana-790 132 13 in in ADP cana-790 132 14 the the DET cana-790 132 15 brain brain NOUN cana-790 132 16 that that PRON cana-790 132 17 an an DET cana-790 132 18 individual individual ADJ cana-790 132 19 exhibits exhibit NOUN cana-790 132 20 and and CCONJ cana-790 132 21 the the DET cana-790 132 22 extent extent NOUN cana-790 132 23 of of ADP cana-790 132 24 support support NOUN cana-790 133 1 such such ADJ cana-790 133 2 individuals individual NOUN cana-790 133 3 need need VERB cana-790 133 4 to to PART cana-790 133 5 continue continue VERB cana-790 133 6 functioning function VERB cana-790 133 7 without without ADP cana-790 133 8 interference interference NOUN cana-790 133 9 . . PUNCT cana-790 134 1 level level NOUN cana-790 134 2 - - PUNCT cana-790 134 3 i i PRON cana-790 134 4 individuals individual NOUN cana-790 134 5 exhibit exhibit VERB cana-790 134 6 morphological morphological ADJ cana-790 134 7 features feature NOUN cana-790 134 8 like like ADP cana-790 134 9 neurotypical neurotypical ADJ cana-790 134 10 subjects subject NOUN cana-790 134 11 and and CCONJ cana-790 134 12 require require VERB cana-790 134 13 minimum minimum ADJ cana-790 134 14 support support NOUN cana-790 134 15 when when SCONJ cana-790 134 16 compared compare VERB cana-790 134 17 to to ADP cana-790 134 18 their their PRON cana-790 134 19 counterparts counterpart NOUN cana-790 134 20 , , PUNCT cana-790 134 21 making make VERB cana-790 134 22 an an DET cana-790 134 23 attempt attempt NOUN cana-790 134 24 to to PART cana-790 134 25 engage engage VERB cana-790 134 26 in in ADP cana-790 134 27 social social ADJ cana-790 134 28 conventions convention NOUN cana-790 134 29 and and CCONJ cana-790 134 30 create create VERB cana-790 134 31 friendships friendship NOUN cana-790 134 32 in in ADP cana-790 134 33 a a DET cana-790 134 34 community community NOUN cana-790 134 35 . . PUNCT cana-790 135 1 level level NOUN cana-790 135 2 ii ii PROPN cana-790 135 3 autistic autistic ADJ cana-790 135 4 subjects subject NOUN cana-790 135 5 require require VERB cana-790 135 6 more more ADJ cana-790 135 7 support support NOUN cana-790 135 8 than than ADP cana-790 135 9 their their PRON cana-790 135 10 level level NOUN cana-790 135 11 - - PUNCT cana-790 135 12 i i PRON cana-790 135 13 counterparts counterpart NOUN cana-790 135 14 , , PUNCT cana-790 135 15 but but CCONJ cana-790 135 16 lesser less ADJ cana-790 135 17 than than ADP cana-790 135 18 the the DET cana-790 135 19 level level NOUN cana-790 135 20 - - PUNCT cana-790 135 21 iii iii NUM cana-790 135 22 subjects subject NOUN cana-790 135 23 . . PUNCT cana-790 136 1 they they PRON cana-790 136 2 exhibit exhibit VERB cana-790 136 3 an an DET cana-790 136 4 elevated elevated ADJ cana-790 136 5 amount amount NOUN cana-790 136 6 of of ADP cana-790 136 7 distress distress NOUN cana-790 136 8 when when SCONJ cana-790 136 9 confronted confront VERB cana-790 136 10 with with ADP cana-790 136 11 change change NOUN cana-790 136 12 , , PUNCT cana-790 136 13 even even ADV cana-790 136 14 more more ADV cana-790 136 15 than than ADP cana-790 136 16 level level NOUN cana-790 136 17 - - PUNCT cana-790 136 18 i i PRON cana-790 136 19 individuals individual NOUN cana-790 136 20 . . PUNCT cana-790 137 1 level level NOUN cana-790 137 2 iii iii NUM cana-790 137 3 individuals individual NOUN cana-790 137 4 have have VERB cana-790 137 5 to to PART cana-790 137 6 rely rely VERB cana-790 137 7 extensively extensively ADV cana-790 137 8 on on ADP cana-790 137 9 external external ADJ cana-790 137 10 support support NOUN cana-790 137 11 to to PART cana-790 137 12 manage manage VERB cana-790 137 13 their their PRON cana-790 137 14 activities activity NOUN cana-790 137 15 , , PUNCT cana-790 137 16 and and CCONJ cana-790 137 17 it it PRON cana-790 137 18 is be AUX cana-790 137 19 in in ADP cana-790 137 20 the the DET cana-790 137 21 second second ADJ cana-790 137 22 and and CCONJ cana-790 137 23 third third ADJ cana-790 137 24 levels level NOUN cana-790 137 25 , , PUNCT cana-790 137 26 the the DET cana-790 137 27 attributes attribute NOUN cana-790 137 28 become become VERB cana-790 137 29 more more ADV cana-790 137 30 prevalent prevalent ADJ cana-790 137 31 . . PUNCT cana-790 138 1 however however ADV cana-790 138 2 , , PUNCT cana-790 138 3 a a DET cana-790 138 4 timely timely ADJ cana-790 138 5 diagnosis diagnosis NOUN cana-790 138 6 of of ADP cana-790 138 7 the the DET cana-790 138 8 severity severity NOUN cana-790 138 9 of of ADP cana-790 138 10 the the DET cana-790 138 11 disorder disorder NOUN cana-790 139 1 [ [ X cana-790 139 2 [ [ X cana-790 139 3 16 16 NUM cana-790 139 4 ] ] PUNCT cana-790 139 5 , , PUNCT cana-790 140 1 [ [ X cana-790 140 2 9 9 NUM cana-790 140 3 ] ] X cana-790 140 4 ] ] PUNCT cana-790 140 5 in in ADP cana-790 140 6 an an DET cana-790 140 7 individual individual NOUN cana-790 140 8 can can AUX cana-790 140 9 help help VERB cana-790 140 10 bring bring VERB cana-790 140 11 about about ADP cana-790 140 12 a a DET cana-790 140 13 change change NOUN cana-790 140 14 in in ADP cana-790 140 15 their their PRON cana-790 140 16 functionalities functionality NOUN cana-790 140 17 , , PUNCT cana-790 140 18 calling call VERB cana-790 140 19 for for ADP cana-790 140 20 personalized personalized ADJ cana-790 140 21 help help NOUN cana-790 140 22 finding find VERB cana-790 140 23 its its PRON cana-790 140 24 way way NOUN cana-790 140 25 to to ADP cana-790 140 26 such such ADJ cana-790 140 27 individuals individual NOUN cana-790 140 28 . . PUNCT cana-790 141 1 to to PART cana-790 141 2 classify classify VERB cana-790 141 3 autistic autistic ADJ cana-790 141 4 individuals individual NOUN cana-790 141 5 according accord VERB cana-790 141 6 to to ADP cana-790 141 7 the the DET cana-790 141 8 severity severity NOUN cana-790 141 9 levels level NOUN cana-790 141 10 , , PUNCT cana-790 141 11 the the DET cana-790 141 12 deviation deviation NOUN cana-790 141 13 𝛿𝑑𝑛(𝑒𝑗 𝛿𝑑𝑛(𝑒𝑗 NOUN cana-790 141 14 ) ) PUNCT cana-790 142 1 = = SYM cana-790 142 2 π‘Žπ‘£π‘’π‘Ÿπ‘Žπ‘”π‘’(|πœ‡π‘Žπ‘– π‘Žπ‘£π‘’π‘Ÿπ‘Žπ‘”π‘’(|πœ‡π‘Žπ‘– ADJ cana-790 142 3 ( ( PUNCT cana-790 142 4 𝑒 𝑒 X cana-790 142 5 ) ) PUNCT cana-790 142 6 βˆ’ βˆ’ PROPN cana-790 142 7 πœ‡π‘ π‘‘π‘‘π‘Žπ‘– πœ‡π‘ π‘‘π‘‘π‘Žπ‘– NOUN cana-790 142 8 ( ( PUNCT cana-790 142 9 𝑒)| 𝑒)| PROPN cana-790 142 10 ) ) PUNCT cana-790 142 11 of of ADP cana-790 142 12 the the DET cana-790 142 13 chosen choose VERB cana-790 142 14 object object NOUN cana-790 142 15 𝑒𝑗 𝑒𝑗 NOUN cana-790 142 16 from from ADP cana-790 142 17 neurotypical neurotypical ADJ cana-790 142 18 individuals individual NOUN cana-790 142 19 is be AUX cana-790 142 20 considered consider VERB cana-790 142 21 . . PUNCT cana-790 143 1 given give VERB cana-790 143 2 an an DET cana-790 143 3 image image NOUN cana-790 143 4 𝑒𝑗 𝑒𝑗 NOUN cana-790 143 5 , , PUNCT cana-790 143 6 the the DET cana-790 143 7 𝛽 𝛽 PROPN cana-790 143 8 βˆ’rs βˆ’r VERB cana-790 143 9 model model NOUN cana-790 143 10 first first ADJ cana-790 143 11 detects detect NOUN cana-790 143 12 whether whether SCONJ cana-790 143 13 it it PRON cana-790 143 14 is be AUX cana-790 143 15 autistic autistic ADJ cana-790 143 16 or or CCONJ cana-790 143 17 otherwise otherwise ADV cana-790 143 18 and and CCONJ cana-790 143 19 also also ADV cana-790 143 20 finds find VERB cana-790 143 21 its its PRON cana-790 143 22 lower low ADJ cana-790 143 23 approximation approximation NOUN cana-790 143 24 space space NOUN cana-790 143 25 . . PUNCT cana-790 144 1 then then ADV cana-790 144 2 for for ADP cana-790 144 3 every every DET cana-790 144 4 element element NOUN cana-790 144 5 in in ADP cana-790 144 6 οΏ½ οΏ½ PROPN cana-790 144 7 Μƒ Μƒ PROPN cana-790 144 8 οΏ½ οΏ½ NOUN cana-790 144 9 𝛽(𝑒𝑗 𝛽(𝑒𝑗 NOUN cana-790 144 10 ) ) PUNCT cana-790 144 11 _ _ NOUN cana-790 144 12 , , PUNCT cana-790 144 13 their their PRON cana-790 144 14 deviation deviation NOUN cana-790 144 15 𝛿𝑑𝑛(𝑒𝑗 𝛿𝑑𝑛(𝑒𝑗 NOUN cana-790 144 16 ) ) PUNCT cana-790 144 17 is be AUX cana-790 144 18 calculated calculate VERB cana-790 144 19 . . PUNCT cana-790 145 1 and and CCONJ cana-790 145 2 according accord VERB cana-790 145 3 to to ADP cana-790 145 4 their their PRON cana-790 145 5 deviation deviation NOUN cana-790 145 6 values value VERB cana-790 145 7 the the DET cana-790 145 8 level level NOUN cana-790 145 9 of of ADP cana-790 145 10 autism autism NOUN cana-790 145 11 of of ADP cana-790 145 12 the the DET cana-790 145 13 object object NOUN cana-790 145 14 uj uj NOUN cana-790 145 15 is be AUX cana-790 145 16 determined determine VERB cana-790 145 17 . . PUNCT cana-790 146 1 the the DET cana-790 146 2 decision decision NOUN cana-790 146 3 taken take VERB cana-790 146 4 according accord VERB cana-790 146 5 to to ADP cana-790 146 6 values value NOUN cana-790 146 7 of of ADP cana-790 146 8 𝛿𝑑𝑛(𝑒𝑗 𝛿𝑑𝑛(𝑒𝑗 NOUN cana-790 146 9 ) ) PUNCT cana-790 146 10 is be AUX cana-790 146 11 given give VERB cana-790 146 12 in in ADP cana-790 146 13 the the DET cana-790 146 14 pseudocode pseudocode NOUN cana-790 146 15 as as SCONJ cana-790 146 16 follows follow VERB cana-790 146 17 . . PUNCT cana-790 147 1 def def ADJ cana-790 147 2 findlevels findlevel NOUN cana-790 147 3 ( ( PUNCT cana-790 147 4 img img NOUN cana-790 147 5 ): ): PUNCT cana-790 147 6 𝛿𝑑𝑛(𝑒𝑗 𝛿𝑑𝑛(𝑒𝑗 NOUN cana-790 147 7 ) ) PUNCT cana-790 148 1 = = SYM cana-790 148 2 average average ADJ cana-790 148 3 ( ( PUNCT cana-790 148 4 |πœ‡π‘Žπ‘–(𝑒𝑗 |πœ‡π‘Žπ‘–(𝑒𝑗 NOUN cana-790 148 5 ) ) PUNCT cana-790 148 6 βˆ’ βˆ’ PROPN cana-790 148 7 πœ‡π‘ π‘‘π‘‘π΄(𝑒𝑗)| πœ‡π‘ π‘‘π‘‘π΄(𝑒𝑗)| PROPN cana-790 148 8 ) ) PUNCT cana-790 148 9 counta counta NOUN cana-790 148 10 , , PUNCT cana-790 148 11 countna=0 countna=0 VERB cana-790 148 12 for for ADP cana-790 148 13 i=1 i=1 X cana-790 148 14 : : PUNCT cana-790 148 15 size(la size(la ADV cana-790 148 16 ): ): PUNCT cana-790 148 17 if if SCONJ cana-790 148 18 π›Ώπ‘‘π‘Ž π›Ώπ‘‘π‘Ž NOUN cana-790 148 19 for for ADP cana-790 148 20 la(i)>=0.1 la(i)>=0.1 ADJ cana-790 148 21 : : PUNCT cana-790 148 22 countna+=1 countna+=1 PROPN cana-790 148 23 else else ADV cana-790 148 24 : : PUNCT cana-790 148 25 counta+=1 counta+=1 NOUN cana-790 148 26 end end NOUN cana-790 148 27 if if SCONJ cana-790 148 28 π›Ώπ‘‘π‘Ž π›Ώπ‘‘π‘Ž NOUN cana-790 148 29 < < X cana-790 148 30 = = PROPN cana-790 148 31 0.1 0.1 NUM cana-790 148 32 & & CCONJ cana-790 148 33 round(π›Ώπ‘‘π‘Ž round(π›Ώπ‘‘π‘Ž NOUN cana-790 148 34 ) ) PUNCT cana-790 148 35 = = SYM cana-790 148 36 0 0 PROPN cana-790 148 37 & & CCONJ cana-790 148 38 countna countna PROPN cana-790 148 39 > > PUNCT cana-790 148 40 count count VERB cana-790 148 41 a a DET cana-790 148 42 : : PUNCT cana-790 148 43 decision decision NOUN cana-790 148 44 = = NOUN cana-790 148 45 level level NOUN cana-790 149 1 i i PRON cana-790 149 2 elseif elseif VERB cana-790 149 3 π›Ώπ‘‘π‘Ž π›Ώπ‘‘π‘Ž NOUN cana-790 149 4 < < X cana-790 149 5 = = PROPN cana-790 149 6 0.1 0.1 NUM cana-790 149 7 & & CCONJ cana-790 149 8 𝛿𝑑𝑛 𝛿𝑑𝑛 PROPN cana-790 149 9 ∈ ∈ PROPN cana-790 149 10 ( ( PUNCT cana-790 149 11 0 0 NUM cana-790 149 12 , , PUNCT cana-790 149 13 0.4 0.4 NUM cana-790 149 14 ] ] PUNCT cana-790 149 15 & & CCONJ cana-790 149 16 countna countna PROPN cana-790 149 17 < < X cana-790 149 18 counta counta NOUN cana-790 149 19 : : PUNCT cana-790 149 20 decision decision NOUN cana-790 149 21 = = SYM cana-790 149 22 level level NOUN cana-790 149 23 ii ii PROPN cana-790 149 24 elseif elseif NOUN cana-790 149 25 π›Ώπ‘‘π‘Ž π›Ώπ‘‘π‘Ž NOUN cana-790 149 26 < < X cana-790 149 27 = = PROPN cana-790 149 28 0.1 0.1 NUM cana-790 149 29 & & CCONJ cana-790 149 30 𝛿𝑑𝑛 𝛿𝑑𝑛 X cana-790 149 31 > > X cana-790 149 32 0.4 0.4 NUM cana-790 149 33 & & CCONJ cana-790 149 34 countna countna PROPN cana-790 149 35 < < X cana-790 149 36 counta counta NOUN cana-790 149 37 : : PUNCT cana-790 149 38 decision decision NOUN cana-790 149 39 = = NOUN cana-790 149 40 level level NOUN cana-790 149 41 – – PUNCT cana-790 149 42 iii iii NUM cana-790 149 43 end end NOUN cana-790 149 44 end end NOUN cana-790 149 45 function function NOUN cana-790 149 46 communications communication NOUN cana-790 149 47 on on ADP cana-790 149 48 applied apply VERB cana-790 149 49 nonlinear nonlinear ADJ cana-790 149 50 analysis analysis NOUN cana-790 149 51 issn issn NOUN cana-790 149 52 : : PUNCT cana-790 149 53 1074 1074 NUM cana-790 149 54 - - PUNCT cana-790 149 55 133x 133x NUM cana-790 149 56 vol vol NOUN cana-790 149 57 31 31 NUM cana-790 149 58 no no NOUN cana-790 149 59 . . PUNCT cana-790 150 1 3s 3s NUM cana-790 150 2 ( ( PUNCT cana-790 150 3 2024 2024 NUM cana-790 150 4 ) ) PUNCT cana-790 150 5 413 413 NUM cana-790 150 6 https://internationalpubls.com https://internationalpubls.com X cana-790 150 7 the the DET cana-790 150 8 examples example NOUN cana-790 150 9 of of ADP cana-790 150 10 level level NOUN cana-790 150 11 - - PUNCT cana-790 150 12 i i NOUN cana-790 150 13 , , PUNCT cana-790 150 14 level level NOUN cana-790 150 15 - - PUNCT cana-790 150 16 ii ii NOUN cana-790 150 17 , , PUNCT cana-790 150 18 level level NOUN cana-790 150 19 - - PUNCT cana-790 150 20 iii iii NOUN cana-790 150 21 autistic autistic ADJ cana-790 150 22 people people NOUN cana-790 150 23 along along ADP cana-790 150 24 their their PRON cana-790 150 25 deviation deviation NOUN cana-790 150 26 𝛿𝑑𝑛(𝑒𝑗 𝛿𝑑𝑛(𝑒𝑗 NOUN cana-790 150 27 ) ) PUNCT cana-790 150 28 detected detect VERB cana-790 150 29 by by ADP cana-790 150 30 the the DET cana-790 150 31 𝛽 𝛽 NOUN cana-790 150 32 βˆ’ βˆ’ PUNCT cana-790 150 33 𝑅𝑆 𝑅𝑆 PROPN cana-790 150 34 model model NOUN cana-790 150 35 is be AUX cana-790 150 36 given give VERB cana-790 150 37 in in ADP cana-790 150 38 figure figure NOUN cana-790 150 39 3 3 NUM cana-790 150 40 . . PUNCT cana-790 150 41 figure figure NOUN cana-790 150 42 3 3 NUM cana-790 150 43 . . PUNCT cana-790 150 44 levels level NOUN cana-790 150 45 of of ADP cana-790 150 46 autism autism NOUN cana-790 150 47 4 4 NUM cana-790 150 48 . . PUNCT cana-790 151 1 interpretation interpretation NOUN cana-790 151 2 of of ADP cana-790 151 3 results result NOUN cana-790 151 4 obtained obtain VERB cana-790 151 5 through through ADP cana-790 151 6 𝜷 𝜷 NOUN cana-790 151 7 βˆ’ βˆ’ NOUN cana-790 151 8 𝑹𝑺 𝑹𝑺 PROPN cana-790 151 9 model model NOUN cana-790 151 10 ( ( PUNCT cana-790 151 11 1 1 X cana-790 151 12 ) ) PUNCT cana-790 151 13 the the DET cana-790 151 14 𝛽-reduct 𝛽-reduct NOUN cana-790 151 15 of of ADP cana-790 151 16 the the DET cana-790 151 17 objects object NOUN cana-790 151 18 aids aid NOUN cana-790 151 19 in in ADP cana-790 151 20 attribute attribute NOUN cana-790 151 21 reduction reduction NOUN cana-790 151 22 and and CCONJ cana-790 151 23 gives give VERB cana-790 151 24 significant significant ADJ cana-790 151 25 attribute attribute NOUN cana-790 151 26 with with ADP cana-790 151 27 respect respect NOUN cana-790 151 28 to to ADP cana-790 151 29 Ξ² Ξ² X cana-790 151 30 . . PUNCT cana-790 152 1 ( ( PUNCT cana-790 152 2 2 2 X cana-790 152 3 ) ) PUNCT cana-790 152 4 the the DET cana-790 152 5 𝛽 𝛽 NOUN cana-790 152 6 βˆ’ βˆ’ PUNCT cana-790 152 7 𝑅𝑆 𝑅𝑆 PROPN cana-790 152 8 model model NOUN cana-790 152 9 can can AUX cana-790 152 10 be be AUX cana-790 152 11 used use VERB cana-790 152 12 to to PART cana-790 152 13 detect detect VERB cana-790 152 14 whether whether SCONJ cana-790 152 15 the the DET cana-790 152 16 object object NOUN cana-790 152 17 is be AUX cana-790 152 18 autistic autistic ADJ cana-790 152 19 or or CCONJ cana-790 152 20 otherwise otherwise ADV cana-790 152 21 , , PUNCT cana-790 152 22 continually continually ADV cana-790 152 23 implying imply VERB cana-790 152 24 that that SCONJ cana-790 152 25 οΏ½ οΏ½ PROPN cana-790 152 26 Μƒ Μƒ PROPN cana-790 152 27 οΏ½ οΏ½ PROPN cana-790 152 28 𝛽(𝑒 𝛽(𝑒 PROPN cana-790 152 29 ) ) PUNCT cana-790 152 30 _ _ PRON cana-790 152 31 is be AUX cana-790 152 32 also also ADV cana-790 152 33 autistic autistic ADJ cana-790 152 34 . . PUNCT cana-790 153 1 for for ADP cana-790 153 2 example example NOUN cana-790 153 3 , , PUNCT cana-790 153 4 an an DET cana-790 153 5 image image NOUN cana-790 153 6 𝑒20 𝑒20 NOUN cana-790 153 7 and and CCONJ cana-790 153 8 its its PRON cana-790 153 9 neighbors neighbor NOUN cana-790 153 10 in in ADP cana-790 153 11 οΏ½ οΏ½ PROPN cana-790 153 12 Μƒ Μƒ PROPN cana-790 153 13 οΏ½ οΏ½ NOUN cana-790 153 14 0.4(𝑒20 0.4(𝑒20 NUM cana-790 153 15 ) ) PUNCT cana-790 153 16 _ _ NUM cana-790 153 17 detected detect VERB cana-790 153 18 autistic autistic ADJ cana-790 153 19 by by ADP cana-790 153 20 0.4 0.4 NUM cana-790 153 21 βˆ’ βˆ’ NOUN cana-790 153 22 rs rs NOUN cana-790 153 23 model model NOUN cana-790 153 24 is be AUX cana-790 153 25 shown show VERB cana-790 153 26 in in ADP cana-790 153 27 figure figure NOUN cana-790 153 28 4 4 NUM cana-790 153 29 . . PUNCT cana-790 153 30 figure figure VERB cana-790 153 31 4 4 NUM cana-790 153 32 . . PUNCT cana-790 153 33 autism autism NOUN cana-790 153 34 detection detection NOUN cana-790 153 35 by by ADP cana-790 153 36 Ξ² Ξ² X cana-790 153 37 rs rs PROPN cana-790 153 38 model model NOUN cana-790 153 39 ( ( PUNCT cana-790 153 40 3 3 NUM cana-790 153 41 ) ) PUNCT cana-790 153 42 by by ADP cana-790 153 43 comparing compare VERB cana-790 153 44 the the DET cana-790 153 45 lower low ADJ cana-790 153 46 approximation approximation NOUN cana-790 153 47 space space NOUN cana-790 153 48 of of ADP cana-790 153 49 an an DET cana-790 153 50 autistic autistic ADJ cana-790 153 51 and and CCONJ cana-790 153 52 non non ADJ cana-790 153 53 - - ADJ cana-790 153 54 autistic autistic ADJ cana-790 153 55 image image NOUN cana-790 153 56 one one PRON cana-790 153 57 can can AUX cana-790 153 58 analyze analyze VERB cana-790 153 59 how how SCONJ cana-790 153 60 the the DET cana-790 153 61 facial facial ADJ cana-790 153 62 features feature NOUN cana-790 153 63 of of ADP cana-790 153 64 an an DET cana-790 153 65 autistic autistic ADJ cana-790 153 66 individual individual NOUN cana-790 153 67 differ differ VERB cana-790 153 68 from from ADP cana-790 153 69 their their PRON cana-790 153 70 normal normal ADJ cana-790 153 71 counterparts counterpart NOUN cana-790 153 72 . . PUNCT cana-790 154 1 communications communication NOUN cana-790 154 2 on on ADP cana-790 154 3 applied apply VERB cana-790 154 4 nonlinear nonlinear ADJ cana-790 154 5 analysis analysis NOUN cana-790 154 6 issn issn NOUN cana-790 154 7 : : PUNCT cana-790 154 8 1074 1074 NUM cana-790 154 9 - - PUNCT cana-790 154 10 133x 133x NUM cana-790 154 11 vol vol NOUN cana-790 154 12 31 31 NUM cana-790 154 13 no no NOUN cana-790 154 14 . . PUNCT cana-790 155 1 3s 3s NUM cana-790 155 2 ( ( PUNCT cana-790 155 3 2024 2024 NUM cana-790 155 4 ) ) PUNCT cana-790 155 5 414 414 NUM cana-790 155 6 https://internationalpubls.com https://internationalpubls.com X cana-790 155 7 this this PRON cana-790 155 8 is be AUX cana-790 155 9 illustrated illustrate VERB cana-790 155 10 by by ADP cana-790 155 11 taking take VERB cana-790 155 12 an an DET cana-790 155 13 example example NOUN cana-790 155 14 from from ADP cana-790 155 15 the the DET cana-790 155 16 lower low ADJ cana-790 155 17 approximation approximation NOUN cana-790 155 18 space space NOUN cana-790 155 19 of of ADP cana-790 155 20 an an DET cana-790 155 21 autistic autistic ADJ cana-790 155 22 individual individual NOUN cana-790 155 23 . . PUNCT cana-790 156 1 from from ADP cana-790 156 2 the the DET cana-790 156 3 figure figure NOUN cana-790 156 4 , , PUNCT cana-790 156 5 it it PRON cana-790 156 6 can can AUX cana-790 156 7 be be AUX cana-790 156 8 inferred infer VERB cana-790 156 9 using use VERB cana-790 156 10 the the DET cana-790 156 11 bounding bounding NOUN cana-790 156 12 boxes box NOUN cana-790 156 13 that that PRON cana-790 156 14 autistic autistic ADJ cana-790 156 15 individuals individual NOUN cana-790 156 16 exhibit exhibit VERB cana-790 156 17 wider wide ADJ cana-790 156 18 facial facial ADJ cana-790 156 19 markers marker NOUN cana-790 156 20 contrasted contrast VERB cana-790 156 21 to to ADP cana-790 156 22 neurotypical neurotypical ADJ cana-790 156 23 individuals individual NOUN cana-790 156 24 . . PUNCT cana-790 157 1 figure figure NOUN cana-790 157 2 5 5 NUM cana-790 157 3 . . PUNCT cana-790 157 4 face face NOUN cana-790 157 5 markers marker NOUN cana-790 157 6 : : PUNCT cana-790 157 7 autistic autistic ADJ cana-790 157 8 vs. vs. X cana-790 157 9 non non ADJ cana-790 157 10 - - ADJ cana-790 157 11 autistic autistic ADJ cana-790 157 12 ( ( PUNCT cana-790 157 13 4 4 NUM cana-790 157 14 ) ) PUNCT cana-790 157 15 the the DET cana-790 157 16 lower low ADJ cana-790 157 17 approximation approximation NOUN cana-790 157 18 space space NOUN cana-790 157 19 helps helps AUX cana-790 157 20 find find VERB cana-790 157 21 objects object NOUN cana-790 157 22 exhibiting exhibit VERB cana-790 157 23 similar similar ADJ cana-790 157 24 expressions expression NOUN cana-790 157 25 in in ADP cana-790 157 26 the the DET cana-790 157 27 same same ADJ cana-790 157 28 class class NOUN cana-790 157 29 . . PUNCT cana-790 158 1 the the DET cana-790 158 2 examples example NOUN cana-790 158 3 that that PRON cana-790 158 4 capture capture VERB cana-790 158 5 a a DET cana-790 158 6 frown frown VERB cana-790 158 7 / / SYM cana-790 158 8 frustration frustration NOUN cana-790 158 9 amongst amongst ADP cana-790 158 10 autistic autistic ADJ cana-790 158 11 individuals individual NOUN cana-790 158 12 are be AUX cana-790 158 13 presented present VERB cana-790 158 14 in in ADP cana-790 158 15 figure figure NOUN cana-790 158 16 6 6 NUM cana-790 158 17 and and CCONJ cana-790 158 18 7 7 NUM cana-790 158 19 . . X cana-790 158 20 figure figure NOUN cana-790 158 21 6 6 NUM cana-790 158 22 . . PUNCT cana-790 159 1 objects object NOUN cana-790 159 2 frowning frown VERB cana-790 159 3 figure figure NOUN cana-790 159 4 7 7 NUM cana-790 159 5 . . PUNCT cana-790 159 6 objects object NOUN cana-790 159 7 expressing express VERB cana-790 159 8 frustration frustration NOUN cana-790 159 9 ( ( PUNCT cana-790 159 10 5 5 NUM cana-790 159 11 ) ) PUNCT cana-790 159 12 the the DET cana-790 159 13 upper upper ADJ cana-790 159 14 approximation approximation NOUN cana-790 159 15 space space NOUN cana-790 159 16 is be AUX cana-790 159 17 advantageous advantageous ADJ cana-790 159 18 in in ADP cana-790 159 19 making make VERB cana-790 159 20 decisions decision NOUN cana-790 159 21 about about ADP cana-790 159 22 mild mild ADJ cana-790 159 23 autistic autistic ADJ cana-790 159 24 individuals individual NOUN cana-790 159 25 who who PRON cana-790 159 26 share share VERB cana-790 159 27 commonalities commonality NOUN cana-790 159 28 in in ADP cana-790 159 29 facial facial ADJ cana-790 159 30 features feature NOUN cana-790 159 31 with with ADP cana-790 159 32 neurotypical neurotypical ADJ cana-790 159 33 individuals individual NOUN cana-790 159 34 . . PUNCT cana-790 160 1 by by ADP cana-790 160 2 analyzing analyze VERB cana-790 160 3 the the DET cana-790 160 4 number number NOUN cana-790 160 5 of of ADP cana-790 160 6 neurotypical neurotypical ADJ cana-790 160 7 individuals individual NOUN cana-790 160 8 in in ADP cana-790 160 9 the the DET cana-790 160 10 upper upper ADJ cana-790 160 11 approximation approximation NOUN cana-790 160 12 space space NOUN cana-790 160 13 , , PUNCT cana-790 160 14 one one PRON cana-790 160 15 can can AUX cana-790 160 16 determine determine VERB cana-790 160 17 how how SCONJ cana-790 160 18 mildly mildly ADV cana-790 160 19 autistic autistic ADJ cana-790 160 20 an an DET cana-790 160 21 individual individual NOUN cana-790 160 22 is be AUX cana-790 160 23 . . PUNCT cana-790 161 1 an an DET cana-790 161 2 example example NOUN cana-790 161 3 of of ADP cana-790 161 4 the the DET cana-790 161 5 application application NOUN cana-790 161 6 of of ADP cana-790 161 7 the the DET cana-790 161 8 upper upper ADJ cana-790 161 9 communications communication NOUN cana-790 161 10 on on ADP cana-790 161 11 applied apply VERB cana-790 161 12 nonlinear nonlinear ADJ cana-790 161 13 analysis analysis NOUN cana-790 161 14 issn issn NOUN cana-790 161 15 : : PUNCT cana-790 161 16 1074 1074 NUM cana-790 161 17 - - PUNCT cana-790 161 18 133x 133x NUM cana-790 161 19 vol vol NOUN cana-790 161 20 31 31 NUM cana-790 161 21 no no NOUN cana-790 161 22 . . PUNCT cana-790 162 1 3s 3s NUM cana-790 162 2 ( ( PUNCT cana-790 162 3 2024 2024 NUM cana-790 162 4 ) ) PUNCT cana-790 162 5 415 415 NUM cana-790 162 6 https://internationalpubls.com https://internationalpubls.com NOUN cana-790 162 7 approximation approximation NOUN cana-790 162 8 space space NOUN cana-790 162 9 for for ADP cana-790 162 10 an an DET cana-790 162 11 object object NOUN cana-790 162 12 𝑒5 𝑒5 NOUN cana-790 162 13 along along ADP cana-790 162 14 with with ADP cana-790 162 15 neurotypical neurotypical ADJ cana-790 162 16 individuals individual NOUN cana-790 162 17 in in ADP cana-790 162 18 it it PRON cana-790 162 19 is be AUX cana-790 162 20 shown show VERB cana-790 162 21 in in ADP cana-790 162 22 figure figure NOUN cana-790 162 23 8 8 NUM cana-790 162 24 . . PUNCT cana-790 163 1 figure figure NOUN cana-790 163 2 8 8 NUM cana-790 163 3 . . PUNCT cana-790 164 1 upper upper ADJ cana-790 164 2 approximation approximation NOUN cana-790 164 3 of of ADP cana-790 164 4 mild mild ADJ cana-790 164 5 autistic autistic ADJ cana-790 164 6 individual individual ADJ cana-790 164 7 u5 u5 PROPN cana-790 164 8 ( ( PUNCT cana-790 164 9 6 6 NUM cana-790 164 10 ) ) PUNCT cana-790 164 11 the the DET cana-790 164 12 𝛽 𝛽 NOUN cana-790 164 13 βˆ’ βˆ’ PUNCT cana-790 164 14 𝑅𝑆 𝑅𝑆 PROPN cana-790 164 15 model model NOUN cana-790 164 16 helps help VERB cana-790 164 17 to to PART cana-790 164 18 understand understand VERB cana-790 164 19 the the DET cana-790 164 20 effect effect NOUN cana-790 164 21 of of ADP cana-790 164 22 𝛽 𝛽 NOUN cana-790 164 23 on on ADP cana-790 164 24 the the DET cana-790 164 25 rough rough ADJ cana-790 164 26 set set NOUN cana-790 164 27 of of ADP cana-790 164 28 the the DET cana-790 164 29 chosen choose VERB cana-790 164 30 object object NOUN cana-790 164 31 in in ADP cana-790 164 32 making make VERB cana-790 164 33 decision decision NOUN cana-790 164 34 . . PUNCT cana-790 165 1 for for ADP cana-790 165 2 example example NOUN cana-790 165 3 , , PUNCT cana-790 165 4 the the DET cana-790 165 5 effect effect NOUN cana-790 165 6 of of ADP cana-790 165 7 𝛽 𝛽 NOUN cana-790 165 8 on on ADP cana-790 165 9 the the DET cana-790 165 10 π›½βˆ’reduct π›½βˆ’reduct NOUN cana-790 165 11 and and CCONJ cana-790 165 12 the the DET cana-790 165 13 lower low ADJ cana-790 165 14 and and CCONJ cana-790 165 15 upper upper ADJ cana-790 165 16 approximation approximation NOUN cana-790 165 17 space space NOUN cana-790 165 18 of of ADP cana-790 165 19 the the DET cana-790 165 20 object object NOUN cana-790 165 21 u98 u98 NOUN cana-790 165 22 is be AUX cana-790 165 23 shown show VERB cana-790 165 24 in in ADP cana-790 165 25 table table NOUN cana-790 165 26 8 8 NUM cana-790 165 27 . . PUNCT cana-790 165 28 table table NOUN cana-790 165 29 8 8 NUM cana-790 165 30 : : PUNCT cana-790 165 31 effect effect NOUN cana-790 165 32 of of ADP cana-790 165 33 𝛽 𝛽 NOUN cana-790 165 34 in in ADP cana-790 165 35 constructing construct VERB cana-790 165 36 the the DET cana-790 165 37 lower low ADJ cana-790 165 38 and and CCONJ cana-790 165 39 upper upper ADJ cana-790 165 40 approximation approximation NOUN cana-790 165 41 spaces space NOUN cana-790 165 42 for for ADP cana-790 165 43 𝑒98 𝑒98 NOUN cana-790 165 44 𝛽 𝛽 PROPN cana-790 165 45 𝑁𝛽(𝑒98 𝑁𝛽(𝑒98 NOUN cana-790 165 46 ) ) PUNCT cana-790 165 47 𝑁𝛽(𝑒98 𝑁𝛽(𝑒98 NOUN cana-790 165 48 ) ) PUNCT cana-790 165 49 _ _ PUNCT cana-790 166 1 𝑁𝛽(𝑒98)βˆ’ 𝑁𝛽(𝑒98)βˆ’ ADP cana-790 166 2 0.1 0.1 NUM cana-790 167 1 [ [ X cana-790 167 2 π‘Ž1 π‘Ž1 X cana-790 167 3 , , PUNCT cana-790 167 4 π‘Ž2 π‘Ž2 PROPN cana-790 167 5 , , PUNCT cana-790 167 6 π‘Ž3 π‘Ž3 PROPN cana-790 167 7 , , PUNCT cana-790 167 8 π‘Ž4 π‘Ž4 PROPN cana-790 167 9 , , PUNCT cana-790 167 10 π‘Ž5 π‘Ž5 PROPN cana-790 167 11 , , PUNCT cana-790 167 12 π‘Ž6 π‘Ž6 NOUN cana-790 167 13 , , PUNCT cana-790 167 14 π‘Ž7 π‘Ž7 NOUN cana-790 167 15 , , PUNCT cana-790 167 16 π‘Ž8 π‘Ž8 ADJ cana-790 167 17 , , PUNCT cana-790 167 18 π‘Ž9 π‘Ž9 ADJ cana-790 167 19 , , PUNCT cana-790 167 20 π‘Ž10 π‘Ž10 NOUN cana-790 167 21 , , PUNCT cana-790 167 22 π‘Ž11 π‘Ž11 PROPN cana-790 167 23 , , PUNCT cana-790 167 24 π‘Ž12 π‘Ž12 NOUN cana-790 167 25 , , PUNCT cana-790 167 26 π‘Ž13 π‘Ž13 NOUN cana-790 167 27 , , PUNCT cana-790 167 28 π‘Ž14 π‘Ž14 NOUN cana-790 167 29 , , PUNCT cana-790 167 30 π‘Ž15 π‘Ž15 PROPN cana-790 167 31 ] ] X cana-790 167 32 π‘ˆ π‘ˆ PROPN cana-790 167 33 π‘ˆ π‘ˆ PROPN cana-790 167 34 0.2 0.2 NUM cana-790 168 1 [ [ X cana-790 168 2 π‘Ž1 π‘Ž1 X cana-790 168 3 , , PUNCT cana-790 168 4 π‘Ž2 π‘Ž2 PROPN cana-790 168 5 , , PUNCT cana-790 168 6 π‘Ž3 π‘Ž3 PROPN cana-790 168 7 , , PUNCT cana-790 168 8 π‘Ž4 π‘Ž4 PROPN cana-790 168 9 , , PUNCT cana-790 168 10 π‘Ž5 π‘Ž5 PROPN cana-790 168 11 , , PUNCT cana-790 168 12 π‘Ž6 π‘Ž6 NOUN cana-790 168 13 , , PUNCT cana-790 168 14 π‘Ž7 π‘Ž7 NOUN cana-790 168 15 , , PUNCT cana-790 168 16 π‘Ž8 π‘Ž8 ADJ cana-790 168 17 , , PUNCT cana-790 168 18 π‘Ž9 π‘Ž9 ADJ cana-790 168 19 , , PUNCT cana-790 168 20 π‘Ž10 π‘Ž10 NOUN cana-790 168 21 , , PUNCT cana-790 168 22 π‘Ž11 π‘Ž11 PROPN cana-790 168 23 , , PUNCT cana-790 168 24 π‘Ž12 π‘Ž12 NOUN cana-790 168 25 , , PUNCT cana-790 168 26 π‘Ž13 π‘Ž13 NOUN cana-790 168 27 , , PUNCT cana-790 168 28 π‘Ž14 π‘Ž14 NOUN cana-790 168 29 ] ] PUNCT cana-790 169 1 [ [ X cana-790 169 2 𝑒2 𝑒2 PROPN cana-790 169 3 , , PUNCT cana-790 169 4 𝑒3 𝑒3 PROPN cana-790 169 5 , , PUNCT cana-790 169 6 𝑒4 𝑒4 NOUN cana-790 169 7 , , PUNCT cana-790 169 8 𝑒6 𝑒6 NOUN cana-790 169 9 , , PUNCT cana-790 169 10 … … PUNCT cana-790 169 11 𝑒174 𝑒174 NUM cana-790 169 12 , , PUNCT cana-790 169 13 𝑒179,𝑒192 𝑒179,𝑒192 NOUN cana-790 169 14 , , PUNCT cana-790 169 15 𝑒197 𝑒197 PROPN cana-790 169 16 ] ] X cana-790 169 17 π‘ˆ π‘ˆ NOUN cana-790 169 18 0.4 0.4 NUM cana-790 169 19 [ [ X cana-790 169 20 π‘Ž1 π‘Ž1 X cana-790 169 21 , , PUNCT cana-790 169 22 π‘Ž2 π‘Ž2 PROPN cana-790 169 23 , , PUNCT cana-790 169 24 π‘Ž3 π‘Ž3 PROPN cana-790 169 25 , , PUNCT cana-790 169 26 π‘Ž4 π‘Ž4 PROPN cana-790 169 27 , , PUNCT cana-790 169 28 π‘Ž5 π‘Ž5 PROPN cana-790 169 29 , , PUNCT cana-790 169 30 π‘Ž6 π‘Ž6 NOUN cana-790 169 31 , , PUNCT cana-790 169 32 π‘Ž7 π‘Ž7 NOUN cana-790 169 33 , , PUNCT cana-790 169 34 π‘Ž8 π‘Ž8 ADJ cana-790 169 35 , , PUNCT cana-790 169 36 π‘Ž9 π‘Ž9 ADJ cana-790 169 37 , , PUNCT cana-790 169 38 π‘Ž11 π‘Ž11 VERB cana-790 169 39 ] ] PUNCT cana-790 170 1 [ [ X cana-790 170 2 𝑒7 𝑒7 PROPN cana-790 170 3 , , PUNCT cana-790 170 4 𝑒9 𝑒9 PROPN cana-790 170 5 , , PUNCT cana-790 170 6 𝑒11 𝑒11 PROPN cana-790 170 7 , , PUNCT cana-790 170 8 𝑒16 𝑒16 NOUN cana-790 170 9 , , PUNCT cana-790 170 10 𝑒21 𝑒21 VERB cana-790 170 11 , , PUNCT cana-790 170 12 𝑒34 𝑒34 NOUN cana-790 170 13 , , PUNCT cana-790 170 14 𝑒35 𝑒35 NOUN cana-790 170 15 , , PUNCT cana-790 170 16 𝑒73 𝑒73 NOUN cana-790 170 17 , , PUNCT cana-790 170 18 𝑒76 𝑒76 NOUN cana-790 170 19 , , PUNCT cana-790 170 20 𝑒82 𝑒82 ADJ cana-790 170 21 , , PUNCT cana-790 170 22 𝑒84 𝑒84 ADV cana-790 170 23 , , PUNCT cana-790 170 24 𝑒89 𝑒89 NOUN cana-790 170 25 , , PUNCT cana-790 170 26 𝑒94 𝑒94 PROPN cana-790 170 27 , , PUNCT cana-790 170 28 𝑒98 𝑒98 ADJ cana-790 170 29 , , PUNCT cana-790 170 30 𝑒99 𝑒99 NOUN cana-790 170 31 , , PUNCT cana-790 170 32 𝑒114 𝑒114 PROPN cana-790 170 33 , , PUNCT cana-790 170 34 𝑒140 𝑒140 PROPN cana-790 170 35 ] ] X cana-790 171 1 [ [ X cana-790 171 2 𝑒6 𝑒6 ADJ cana-790 171 3 , , PUNCT cana-790 171 4 𝑒7 𝑒7 PROPN cana-790 171 5 , , PUNCT cana-790 171 6 𝑒9 𝑒9 PROPN cana-790 171 7 , , PUNCT cana-790 171 8 𝑒11 𝑒11 PROPN cana-790 171 9 , , PUNCT cana-790 171 10 𝑒16 𝑒16 NOUN cana-790 171 11 , , PUNCT cana-790 171 12 𝑒7 𝑒7 PROPN cana-790 171 13 , , PUNCT cana-790 171 14 𝑒9 𝑒9 PROPN cana-790 171 15 , , PUNCT cana-790 171 16 𝑒11 𝑒11 PROPN cana-790 171 17 , , PUNCT cana-790 171 18 𝑒16 𝑒16 NOUN cana-790 171 19 , , PUNCT cana-790 171 20 𝑒20 𝑒20 NOUN cana-790 171 21 , , PUNCT cana-790 171 22 𝑒21 𝑒21 VERB cana-790 171 23 , , PUNCT cana-790 171 24 𝑒34 𝑒34 NOUN cana-790 171 25 , , PUNCT cana-790 171 26 𝑒35 𝑒35 NOUN cana-790 171 27 , , PUNCT cana-790 171 28 𝑒59 𝑒59 NOUN cana-790 171 29 , , PUNCT cana-790 171 30 𝑒34 𝑒34 NOUN cana-790 171 31 , , PUNCT cana-790 171 32 𝑒65 𝑒65 NOUN cana-790 171 33 , , PUNCT cana-790 171 34 𝑒73 𝑒73 NOUN cana-790 171 35 , , PUNCT cana-790 171 36 𝑒76 𝑒76 NOUN cana-790 171 37 , , PUNCT cana-790 171 38 𝑒77 𝑒77 NOUN cana-790 171 39 , , PUNCT cana-790 171 40 𝑒80 𝑒80 ADJ cana-790 171 41 , , PUNCT cana-790 171 42 𝑒82 𝑒82 NOUN cana-790 171 43 , , PUNCT cana-790 171 44 𝑒84 𝑒84 ADV cana-790 171 45 , , PUNCT cana-790 171 46 𝑒89 𝑒89 NOUN cana-790 171 47 , , PUNCT cana-790 171 48 𝑒92 𝑒92 PROPN cana-790 171 49 , , PUNCT cana-790 171 50 𝑒94 𝑒94 PROPN cana-790 171 51 , , PUNCT cana-790 171 52 𝑒96 𝑒96 PROPN cana-790 171 53 , , PUNCT cana-790 171 54 𝑒98 𝑒98 NOUN cana-790 171 55 , , PUNCT cana-790 171 56 𝑒101 𝑒101 PROPN cana-790 171 57 , , PUNCT cana-790 171 58 𝑒108 𝑒108 NUM cana-790 171 59 , , PUNCT cana-790 171 60 𝑒114 𝑒114 PROPN cana-790 171 61 , , PUNCT cana-790 171 62 𝑒139 𝑒139 PROPN cana-790 171 63 , , PUNCT cana-790 171 64 𝑒140 𝑒140 PROPN cana-790 171 65 ] ] X cana-790 171 66 0.7 0.7 NUM cana-790 171 67 [ [ PUNCT cana-790 171 68 π‘Ž5 π‘Ž5 PROPN cana-790 171 69 , , PUNCT cana-790 171 70 π‘Ž11 π‘Ž11 VERB cana-790 171 71 ] ] PUNCT cana-790 172 1 [ [ X cana-790 172 2 𝑒6 𝑒6 ADJ cana-790 172 3 , , PUNCT cana-790 172 4 𝑒7 𝑒7 PROPN cana-790 172 5 , , PUNCT cana-790 172 6 𝑒9 𝑒9 PROPN cana-790 172 7 , , PUNCT cana-790 172 8 𝑒11 𝑒11 PROPN cana-790 172 9 , , PUNCT cana-790 172 10 𝑒16 𝑒16 NOUN cana-790 172 11 𝑒20 𝑒20 NOUN cana-790 172 12 , , PUNCT cana-790 172 13 𝑒21 𝑒21 VERB cana-790 172 14 , , PUNCT cana-790 172 15 𝑒98 𝑒98 NOUN cana-790 172 16 , , PUNCT cana-790 172 17 𝑒102 𝑒102 PROPN cana-790 172 18 , , PUNCT cana-790 172 19 𝑒108 𝑒108 NUM cana-790 172 20 ] ] PUNCT cana-790 173 1 [ [ X cana-790 173 2 𝑒6 𝑒6 ADJ cana-790 173 3 , , PUNCT cana-790 173 4 𝑒7 𝑒7 PROPN cana-790 173 5 , , PUNCT cana-790 173 6 𝑒9 𝑒9 PROPN cana-790 173 7 , , PUNCT cana-790 173 8 𝑒11 𝑒11 PROPN cana-790 173 9 , , PUNCT cana-790 173 10 𝑒16 𝑒16 NOUN cana-790 173 11 , , PUNCT cana-790 173 12 𝑒20 𝑒20 NOUN cana-790 173 13 , , PUNCT cana-790 173 14 𝑒101 𝑒101 PROPN cana-790 173 15 , , PUNCT cana-790 173 16 . . PUNCT cana-790 173 17 . . PUNCT cana-790 173 18 . . PUNCT cana-790 174 1 𝑒180 𝑒180 PROPN cana-790 174 2 , , PUNCT cana-790 174 3 𝑒188 𝑒188 PROPN cana-790 174 4 ] ] PUNCT cana-790 174 5 0.8 0.8 NUM cana-790 175 1 [ [ X cana-790 175 2 π‘Ž11 π‘Ž11 X cana-790 175 3 ] ] X cana-790 175 4 [ [ X cana-790 175 5 𝑒6 𝑒6 ADJ cana-790 175 6 , , PUNCT cana-790 175 7 𝑒7 𝑒7 PROPN cana-790 175 8 , , PUNCT cana-790 175 9 𝑒9 𝑒9 PROPN cana-790 175 10 , , PUNCT cana-790 175 11 𝑒98 𝑒98 ADJ cana-790 175 12 ] ] PUNCT cana-790 176 1 [ [ X cana-790 176 2 𝑒6 𝑒6 ADJ cana-790 176 3 , , PUNCT cana-790 176 4 𝑒7 𝑒7 PROPN cana-790 176 5 , , PUNCT cana-790 176 6 𝑒9 𝑒9 PROPN cana-790 176 7 , , PUNCT cana-790 176 8 𝑒11 𝑒11 PROPN cana-790 176 9 , , PUNCT cana-790 176 10 𝑒16 𝑒16 NOUN cana-790 176 11 , , PUNCT cana-790 176 12 𝑒20 𝑒20 NOUN cana-790 176 13 , , PUNCT cana-790 176 14 𝑒98 𝑒98 NOUN cana-790 176 15 , , PUNCT cana-790 176 16 𝑒114 𝑒114 PROPN cana-790 176 17 , , PUNCT cana-790 176 18 𝑒120 𝑒120 PROPN cana-790 176 19 ] ] X cana-790 176 20 0.9 0.9 NUM cana-790 176 21 [ [ PUNCT cana-790 176 22 ] ] X cana-790 176 23 [ [ PUNCT cana-790 176 24 ] ] X cana-790 176 25 [ [ PUNCT cana-790 176 26 ] ] X cana-790 176 27 communications communication NOUN cana-790 176 28 on on ADP cana-790 176 29 applied apply VERB cana-790 176 30 nonlinear nonlinear ADJ cana-790 176 31 analysis analysis NOUN cana-790 176 32 issn issn NOUN cana-790 176 33 : : PUNCT cana-790 176 34 1074 1074 NUM cana-790 176 35 - - PUNCT cana-790 176 36 133x 133x NUM cana-790 176 37 vol vol NOUN cana-790 176 38 31 31 NUM cana-790 176 39 no no NOUN cana-790 176 40 . . PUNCT cana-790 177 1 3s 3s NUM cana-790 177 2 ( ( PUNCT cana-790 177 3 2024 2024 NUM cana-790 177 4 ) ) PUNCT cana-790 177 5 416 416 NUM cana-790 177 6 https://internationalpubls.com https://internationalpubls.com X cana-790 177 7 it it PRON cana-790 177 8 can can AUX cana-790 177 9 be be AUX cana-790 177 10 observed observe VERB cana-790 177 11 that that SCONJ cana-790 177 12 for for ADP cana-790 177 13 𝛽 𝛽 NOUN cana-790 177 14 < < X cana-790 177 15 0.4 0.4 NUM cana-790 177 16 , , PUNCT cana-790 177 17 there there PRON cana-790 177 18 is be VERB cana-790 177 19 overfitting overfitte VERB cana-790 177 20 of of ADP cana-790 177 21 the the DET cana-790 177 22 model model NOUN cana-790 177 23 , , PUNCT cana-790 177 24 as as SCONJ cana-790 177 25 the the DET cana-790 177 26 𝛽-neighborhood 𝛽-neighborhood PROPN cana-790 177 27 contains contain VERB cana-790 177 28 those those DET cana-790 177 29 attributes attribute NOUN cana-790 177 30 that that PRON cana-790 177 31 are be AUX cana-790 177 32 less less ADV cana-790 177 33 significant significant ADJ cana-790 177 34 and and CCONJ cana-790 177 35 the the DET cana-790 177 36 fuzzy fuzzy ADJ cana-790 177 37 𝛽-neighborhood 𝛽-neighborhood PROPN cana-790 177 38 contains contain VERB cana-790 177 39 those those DET cana-790 177 40 objects object NOUN cana-790 177 41 which which PRON cana-790 177 42 have have VERB cana-790 177 43 no no DET cana-790 177 44 resemblance resemblance NOUN cana-790 177 45 with with ADP cana-790 177 46 the the DET cana-790 177 47 chosen choose VERB cana-790 177 48 object object NOUN cana-790 177 49 . . PUNCT cana-790 178 1 meaning mean VERB cana-790 178 2 , , PUNCT cana-790 178 3 the the DET cana-790 178 4 system system NOUN cana-790 178 5 does do AUX cana-790 178 6 not not PART cana-790 178 7 learn learn VERB cana-790 178 8 any any DET cana-790 178 9 pattern pattern NOUN cana-790 178 10 in in ADP cana-790 178 11 the the DET cana-790 178 12 data datum NOUN cana-790 178 13 but but CCONJ cana-790 178 14 understands understand VERB cana-790 178 15 the the DET cana-790 178 16 training training NOUN cana-790 178 17 data datum NOUN cana-790 178 18 solely solely ADV cana-790 178 19 for for ADP cana-790 178 20 the the DET cana-790 178 21 sake sake NOUN cana-790 178 22 of of ADP cana-790 178 23 model model NOUN cana-790 178 24 building building NOUN cana-790 178 25 , , PUNCT cana-790 178 26 thus thus ADV cana-790 178 27 resulting result VERB cana-790 178 28 in in ADP cana-790 178 29 overfitting overfitte VERB cana-790 178 30 . . PUNCT cana-790 179 1 for for ADP cana-790 179 2 𝛽 𝛽 NOUN cana-790 179 3 tending tend VERB cana-790 179 4 to to ADP cana-790 179 5 1 1 NUM cana-790 179 6 , , PUNCT cana-790 179 7 there there PRON cana-790 179 8 is be VERB cana-790 179 9 underfitting underfitting NOUN cana-790 179 10 of of ADP cana-790 179 11 the the DET cana-790 179 12 model model NOUN cana-790 179 13 as as SCONJ cana-790 179 14 the the DET cana-790 179 15 important important ADJ cana-790 179 16 characterizing characterizing NOUN cana-790 179 17 attributes attribute NOUN cana-790 179 18 of of ADP cana-790 179 19 the the DET cana-790 179 20 chosen choose VERB cana-790 179 21 object object NOUN cana-790 179 22 are be AUX cana-790 179 23 lost lose VERB cana-790 179 24 and and CCONJ cana-790 179 25 the the DET cana-790 179 26 model model NOUN cana-790 179 27 begins begin VERB cana-790 179 28 relying rely VERB cana-790 179 29 on on ADP cana-790 179 30 assumptions assumption NOUN cana-790 179 31 about about ADP cana-790 179 32 the the DET cana-790 179 33 object object NOUN cana-790 179 34 for for ADP cana-790 179 35 decision decision NOUN cana-790 179 36 making making NOUN cana-790 179 37 . . PUNCT cana-790 180 1 hence hence ADV cana-790 180 2 , , PUNCT cana-790 180 3 an an DET cana-790 180 4 optimal optimal ADJ cana-790 180 5 choice choice NOUN cana-790 180 6 of of ADP cana-790 180 7 𝛽 𝛽 NOUN cana-790 180 8 is be AUX cana-790 180 9 essential essential ADJ cana-790 180 10 for for ADP cana-790 180 11 accurate accurate ADJ cana-790 180 12 decision decision NOUN cana-790 180 13 making making NOUN cana-790 180 14 . . PUNCT cana-790 181 1 ( ( PUNCT cana-790 181 2 7 7 X cana-790 181 3 ) ) PUNCT cana-790 181 4 the the DET cana-790 181 5 model model NOUN cana-790 181 6 presented present VERB cana-790 181 7 an an DET cana-790 181 8 accuracy accuracy NOUN cana-790 181 9 of of ADP cana-790 181 10 92.5 92.5 NUM cana-790 181 11 % % NOUN cana-790 181 12 for for ADP cana-790 181 13 the the DET cana-790 181 14 threshold threshold NOUN cana-790 181 15 value value NOUN cana-790 181 16 Ξ± Ξ± NOUN cana-790 181 17 = = NOUN cana-790 181 18 0.1 0.1 NUM cana-790 181 19 . . PUNCT cana-790 182 1 the the DET cana-790 182 2 confusion confusion NOUN cana-790 182 3 matrix matrix NOUN cana-790 182 4 of of ADP cana-790 182 5 the the DET cana-790 182 6 0.4 0.4 NUM cana-790 182 7 βˆ’ βˆ’ NOUN cana-790 182 8 rs rs NOUN cana-790 182 9 model model NOUN cana-790 182 10 is be AUX cana-790 182 11 shown show VERB cana-790 182 12 in in ADP cana-790 182 13 figure figure NOUN cana-790 182 14 9 9 NUM cana-790 182 15 . . PUNCT cana-790 183 1 in in ADP cana-790 183 2 comparison comparison NOUN cana-790 183 3 to to ADP cana-790 183 4 the the DET cana-790 183 5 existing exist VERB cana-790 183 6 models model NOUN cana-790 183 7 , , PUNCT cana-790 183 8 this this DET cana-790 183 9 model model NOUN cana-790 183 10 is be AUX cana-790 183 11 extremely extremely ADV cana-790 183 12 advantageous advantageous ADJ cana-790 183 13 owing owe VERB cana-790 183 14 to to ADP cana-790 183 15 the the DET cana-790 183 16 fact fact NOUN cana-790 183 17 that that SCONJ cana-790 183 18 it it PRON cana-790 183 19 makes make VERB cana-790 183 20 a a DET cana-790 183 21 decision decision NOUN cana-790 183 22 about about ADP cana-790 183 23 the the DET cana-790 183 24 chosen choose VERB cana-790 183 25 individual individual NOUN cana-790 183 26 by by ADP cana-790 183 27 observing observe VERB cana-790 183 28 the the DET cana-790 183 29 characteristics characteristic NOUN cana-790 183 30 shared share VERB cana-790 183 31 by by ADP cana-790 183 32 the the DET cana-790 183 33 individual individual NOUN cana-790 183 34 with with ADP cana-790 183 35 its its PRON cana-790 183 36 neighbors neighbor NOUN cana-790 183 37 , , PUNCT cana-790 183 38 thereby thereby ADV cana-790 183 39 improving improve VERB cana-790 183 40 the the DET cana-790 183 41 speed speed NOUN cana-790 183 42 , , PUNCT cana-790 183 43 accuracy accuracy NOUN cana-790 183 44 and and CCONJ cana-790 183 45 precision precision NOUN cana-790 183 46 of of ADP cana-790 183 47 the the DET cana-790 183 48 prediction prediction NOUN cana-790 183 49 . . PUNCT cana-790 184 1 figure figure NOUN cana-790 184 2 9 9 NUM cana-790 184 3 . . PUNCT cana-790 185 1 accuracy accuracy NOUN cana-790 185 2 of of ADP cana-790 185 3 the the DET cana-790 185 4 0.4 0.4 NUM cana-790 185 5 βˆ’ βˆ’ NOUN cana-790 185 6 rs rs NOUN cana-790 185 7 model model NOUN cana-790 185 8 allowing allow VERB cana-790 185 9 the the DET cana-790 185 10 mathematical mathematical ADJ cana-790 185 11 model model NOUN cana-790 185 12 to to PART cana-790 185 13 work work VERB cana-790 185 14 with with ADP cana-790 185 15 the the DET cana-790 185 16 electrical electrical ADJ cana-790 185 17 activity activity NOUN cana-790 185 18 in in ADP cana-790 185 19 the the DET cana-790 185 20 brain brain NOUN cana-790 185 21 recorded record VERB cana-790 185 22 using use VERB cana-790 185 23 eegs eeg NOUN cana-790 185 24 and and CCONJ cana-790 185 25 focusing focus VERB cana-790 185 26 on on ADP cana-790 185 27 the the DET cana-790 185 28 regions region NOUN cana-790 185 29 of of ADP cana-790 185 30 the the DET cana-790 185 31 brain brain NOUN cana-790 185 32 that that PRON cana-790 185 33 contribute contribute VERB cana-790 185 34 to to ADP cana-790 185 35 giving give VERB cana-790 185 36 rise rise NOUN cana-790 185 37 to to ADP cana-790 185 38 unique unique ADJ cana-790 185 39 facial facial ADJ cana-790 185 40 expressions expression NOUN cana-790 185 41 in in ADP cana-790 185 42 autistic autistic ADJ cana-790 185 43 individuals individual NOUN cana-790 185 44 can can AUX cana-790 185 45 help help VERB cana-790 185 46 improve improve VERB cana-790 185 47 its its PRON cana-790 185 48 prediction prediction NOUN cana-790 185 49 capability capability NOUN cana-790 185 50 by by ADP cana-790 185 51 several several ADJ cana-790 185 52 margins margin NOUN cana-790 185 53 . . PUNCT cana-790 186 1 5 5 X cana-790 186 2 . . X cana-790 186 3 conclusion conclusion NOUN cana-790 186 4 the the DET cana-790 186 5 𝛽 𝛽 PROPN cana-790 186 6 βˆ’reduct βˆ’reduct NOUN cana-790 186 7 , , PUNCT cana-790 186 8 fuzzy fuzzy ADJ cana-790 186 9 𝛽-neighborhood 𝛽-neighborhood PROPN cana-790 186 10 , , PUNCT cana-790 186 11 and and CCONJ cana-790 186 12 fuzzy fuzzy ADJ cana-790 186 13 𝛽-neighborhood 𝛽-neighborhood PROPN cana-790 186 14 based base VERB cana-790 186 15 soft soft ADJ cana-790 186 16 rough rough ADJ cana-790 186 17 sets set NOUN cana-790 186 18 of of ADP cana-790 186 19 the the DET cana-790 186 20 objects object NOUN cana-790 186 21 have have AUX cana-790 186 22 been be AUX cana-790 186 23 defined define VERB cana-790 186 24 . . PUNCT cana-790 187 1 the the DET cana-790 187 2 𝛽 𝛽 NOUN cana-790 187 3 βˆ’ βˆ’ PUNCT cana-790 187 4 𝑅𝑆 𝑅𝑆 PROPN cana-790 187 5 model model NOUN cana-790 187 6 was be AUX cana-790 187 7 implemented implement VERB cana-790 187 8 for for ADP cana-790 187 9 autism autism NOUN cana-790 187 10 detection detection NOUN cana-790 187 11 and and CCONJ cana-790 187 12 the the DET cana-790 187 13 model model NOUN cana-790 187 14 showed show VERB cana-790 187 15 an an DET cana-790 187 16 accuracy accuracy NOUN cana-790 187 17 of of ADP cana-790 187 18 about about ADP cana-790 187 19 92.5 92.5 NUM cana-790 187 20 % % NOUN cana-790 187 21 . . PUNCT cana-790 188 1 further far ADV cana-790 188 2 , , PUNCT cana-790 188 3 the the DET cana-790 188 4 advantage advantage NOUN cana-790 188 5 of of ADP cana-790 188 6 the the DET cana-790 188 7 lower low ADJ cana-790 188 8 approximation approximation NOUN cana-790 188 9 space space NOUN cana-790 188 10 in in ADP cana-790 188 11 determining determine VERB cana-790 188 12 the the DET cana-790 188 13 levels level NOUN cana-790 188 14 of of ADP cana-790 188 15 autism autism NOUN cana-790 188 16 , , PUNCT cana-790 188 17 detecting detect VERB cana-790 188 18 individuals individual NOUN cana-790 188 19 with with ADP cana-790 188 20 similar similar ADJ cana-790 188 21 expression expression NOUN cana-790 188 22 from from ADP cana-790 188 23 same same ADJ cana-790 188 24 class class NOUN cana-790 188 25 , , PUNCT cana-790 188 26 and and CCONJ cana-790 188 27 differentiation differentiation NOUN cana-790 188 28 of of ADP cana-790 188 29 facial facial ADJ cana-790 188 30 feature feature NOUN cana-790 188 31 of of ADP cana-790 188 32 an an DET cana-790 188 33 autistic autistic ADJ cana-790 188 34 individual individual NOUN cana-790 188 35 from from ADP cana-790 188 36 a a DET cana-790 188 37 neurotypical neurotypical ADJ cana-790 188 38 one one NOUN cana-790 188 39 are be AUX cana-790 188 40 discussed discuss VERB cana-790 188 41 . . PUNCT cana-790 189 1 the the DET cana-790 189 2 significance significance NOUN cana-790 189 3 of of ADP cana-790 189 4 the the DET cana-790 189 5 upper upper ADJ cana-790 189 6 approximation approximation NOUN cana-790 189 7 space space NOUN cana-790 189 8 in in ADP cana-790 189 9 the the DET cana-790 189 10 case case NOUN cana-790 189 11 of of ADP cana-790 189 12 a a DET cana-790 189 13 mild mild ADJ cana-790 189 14 autistic autistic ADJ cana-790 189 15 people people NOUN cana-790 189 16 has have AUX cana-790 189 17 also also ADV cana-790 189 18 been be AUX cana-790 189 19 shown show VERB cana-790 189 20 . . PUNCT cana-790 190 1 consequently consequently ADV cana-790 190 2 , , PUNCT cana-790 190 3 the the DET cana-790 190 4 main main ADJ cana-790 190 5 advantage advantage NOUN cana-790 190 6 of of ADP cana-790 190 7 the the DET cana-790 190 8 model model NOUN cana-790 190 9 has have AUX cana-790 190 10 been be AUX cana-790 190 11 found find VERB cana-790 190 12 to to PART cana-790 190 13 lie lie VERB cana-790 190 14 in in ADP cana-790 190 15 the the DET cana-790 190 16 fact fact NOUN cana-790 190 17 that that SCONJ cana-790 190 18 it it PRON cana-790 190 19 requires require VERB cana-790 190 20 no no DET cana-790 190 21 prior prior ADJ cana-790 190 22 information information NOUN cana-790 190 23 communications communication NOUN cana-790 190 24 on on ADP cana-790 190 25 applied apply VERB cana-790 190 26 nonlinear nonlinear ADJ cana-790 190 27 analysis analysis NOUN cana-790 190 28 issn issn NOUN cana-790 190 29 : : PUNCT cana-790 190 30 1074 1074 NUM cana-790 190 31 - - PUNCT cana-790 190 32 133x 133x NUM cana-790 190 33 vol vol NOUN cana-790 190 34 31 31 NUM cana-790 190 35 no no NOUN cana-790 190 36 . . PUNCT cana-790 191 1 3s 3s NUM cana-790 191 2 ( ( PUNCT cana-790 191 3 2024 2024 NUM cana-790 191 4 ) ) PUNCT cana-790 191 5 417 417 NUM cana-790 191 6 https://internationalpubls.com https://internationalpubls.com X cana-790 191 7 to to PART cana-790 191 8 make make VERB cana-790 191 9 decisions decision NOUN cana-790 191 10 about about ADP cana-790 191 11 the the DET cana-790 191 12 dataset dataset NOUN cana-790 191 13 and and CCONJ cana-790 191 14 utilizes utilize VERB cana-790 191 15 the the DET cana-790 191 16 fuzzy fuzzy ADJ cana-790 191 17 𝛽-neighborhood 𝛽-neighborhood NOUN cana-790 191 18 of of ADP cana-790 191 19 the the DET cana-790 191 20 object object NOUN cana-790 191 21 for for ADP cana-790 191 22 detection detection NOUN cana-790 191 23 and and CCONJ cana-790 191 24 classification classification NOUN cana-790 191 25 of of ADP cana-790 191 26 levels level NOUN cana-790 191 27 of of ADP cana-790 191 28 autism autism NOUN cana-790 191 29 . . PUNCT cana-790 192 1 the the DET cana-790 192 2 𝛽-reduct 𝛽-reduct NOUN cana-790 192 3 aids aid VERB cana-790 192 4 in in ADP cana-790 192 5 understanding understand VERB cana-790 192 6 the the DET cana-790 192 7 behavior behavior NOUN cana-790 192 8 of of ADP cana-790 192 9 individuals individual NOUN cana-790 192 10 who who PRON cana-790 192 11 express express VERB cana-790 192 12 themselves themselves PRON cana-790 192 13 similar similar ADJ cana-790 192 14 to to ADP cana-790 192 15 a a DET cana-790 192 16 chosen choose VERB cana-790 192 17 individual individual NOUN cana-790 192 18 , , PUNCT cana-790 192 19 and and CCONJ cana-790 192 20 hence hence ADV cana-790 192 21 the the DET cana-790 192 22 𝛽 𝛽 NOUN cana-790 192 23 βˆ’ βˆ’ PUNCT cana-790 192 24 𝑅𝑆 𝑅𝑆 PROPN cana-790 192 25 model model NOUN cana-790 192 26 executes execute VERB cana-790 192 27 the the DET cana-790 192 28 decision decision NOUN cana-790 192 29 - - PUNCT cana-790 192 30 making make VERB cana-790 192 31 process process NOUN cana-790 192 32 in in ADP cana-790 192 33 a a DET cana-790 192 34 reduced reduced ADJ cana-790 192 35 computational computational ADJ cana-790 192 36 time time NOUN cana-790 192 37 frame frame NOUN cana-790 192 38 to to PART cana-790 192 39 produce produce VERB cana-790 192 40 efficient efficient ADJ cana-790 192 41 results result NOUN cana-790 192 42 . . PUNCT cana-790 193 1 the the DET cana-790 193 2 𝛽 𝛽 NOUN cana-790 193 3 βˆ’ βˆ’ PROPN cana-790 193 4 𝑅𝑆 𝑅𝑆 PROPN cana-790 193 5 model model NOUN cana-790 193 6 can can AUX cana-790 193 7 further far ADV cana-790 193 8 be be AUX cana-790 193 9 tuned tune VERB cana-790 193 10 by by ADP cana-790 193 11 working work VERB cana-790 193 12 with with ADP cana-790 193 13 equipment equipment NOUN cana-790 193 14 that that PRON cana-790 193 15 helps helps AUX cana-790 193 16 understand understand VERB cana-790 193 17 brain brain NOUN cana-790 193 18 activity activity NOUN cana-790 193 19 to to PART cana-790 193 20 produce produce VERB cana-790 193 21 improved improved ADJ cana-790 193 22 and and CCONJ cana-790 193 23 reliable reliable ADJ cana-790 193 24 results result NOUN cana-790 193 25 . . PUNCT cana-790 194 1 funding funding NOUN cana-790 194 2 : : PUNCT cana-790 194 3 this this DET cana-790 194 4 research research NOUN cana-790 194 5 received receive VERB cana-790 194 6 no no DET cana-790 194 7 external external ADJ cana-790 194 8 funding funding NOUN cana-790 194 9 . . PUNCT cana-790 195 1 acknowledgments acknowledgment NOUN cana-790 195 2 : : PUNCT cana-790 195 3 the the DET cana-790 195 4 authors author NOUN cana-790 195 5 thank thank VERB cana-790 195 6 the the DET cana-790 195 7 management management NOUN cana-790 195 8 and and CCONJ cana-790 195 9 principal principal NOUN cana-790 195 10 , , PUNCT cana-790 195 11 sri sri PROPN cana-790 195 12 siva siva PROPN cana-790 195 13 subramaniya subramaniya PROPN cana-790 195 14 nadar nadar PROPN cana-790 195 15 college college PROPN cana-790 195 16 of of ADP cana-790 195 17 engineering engineering NOUN cana-790 195 18 for for ADP cana-790 195 19 their their PRON cana-790 195 20 support support NOUN cana-790 195 21 and and CCONJ cana-790 195 22 encouragement encouragement NOUN cana-790 195 23 for for ADP cana-790 195 24 the the DET cana-790 195 25 successful successful ADJ cana-790 195 26 completion completion NOUN cana-790 195 27 of of ADP cana-790 195 28 the the DET cana-790 195 29 work work NOUN cana-790 195 30 . . PUNCT cana-790 196 1 conflicts conflict NOUN cana-790 196 2 of of ADP cana-790 196 3 interest interest NOUN cana-790 196 4 : : PUNCT cana-790 196 5 the the DET cana-790 196 6 authors author NOUN cana-790 196 7 declare declare VERB cana-790 196 8 no no DET cana-790 196 9 conflict conflict NOUN cana-790 196 10 of of ADP cana-790 196 11 interest interest NOUN cana-790 196 12 . . PUNCT cana-790 197 1 references reference NOUN cana-790 197 2 [ [ X cana-790 197 3 1 1 NUM cana-790 197 4 ] ] PUNCT cana-790 197 5 aldridge aldridge PROPN cana-790 197 6 , , PUNCT cana-790 197 7 kristina kristina PROPN cana-790 197 8 , , PUNCT cana-790 197 9 ian ian PROPN cana-790 197 10 d. d. PROPN cana-790 197 11 george george PROPN cana-790 197 12 , , PUNCT cana-790 197 13 kimberly kimberly PROPN cana-790 197 14 k. k. PROPN cana-790 197 15 cole cole PROPN cana-790 197 16 , , PUNCT cana-790 197 17 jordan jordan PROPN cana-790 197 18 r. r. PROPN cana-790 197 19 austin austin PROPN cana-790 197 20 , , PUNCT cana-790 197 21 t. t. PROPN cana-790 197 22 nicole nicole PROPN cana-790 197 23 takahashi takahashi PROPN cana-790 197 24 , , PUNCT cana-790 197 25 ye ye PROPN cana-790 197 26 duan duan PROPN cana-790 197 27 and and CCONJ cana-790 197 28 judith judith PROPN cana-790 197 29 h. h. PROPN cana-790 197 30 miles miles PROPN cana-790 197 31 . . PUNCT cana-790 198 1 β€œ " PUNCT cana-790 198 2 facial facial ADJ cana-790 198 3 phenotypes phenotype NOUN cana-790 198 4 in in ADP cana-790 198 5 subgroups subgroup NOUN cana-790 198 6 of of ADP cana-790 198 7 prepubertal prepubertal NOUN cana-790 198 8 boys boy NOUN cana-790 198 9 with with ADP cana-790 198 10 autism autism NOUN cana-790 198 11 spectrum spectrum NOUN cana-790 198 12 disorders disorder NOUN cana-790 198 13 are be AUX cana-790 198 14 correlated correlate VERB cana-790 198 15 with with ADP cana-790 198 16 clinical clinical ADJ cana-790 198 17 phenotypes phenotype NOUN cana-790 198 18 . . PUNCT cana-790 198 19 ” " PUNCT cana-790 199 1 molecular molecular ADJ cana-790 199 2 autism autism NOUN cana-790 199 3 2 2 NUM cana-790 199 4 ( ( PUNCT cana-790 199 5 2011 2011 NUM cana-790 199 6 ): ): PUNCT cana-790 199 7 1 1 NUM cana-790 199 8 - - SYM cana-790 199 9 12 12 NUM cana-790 199 10 . . PUNCT cana-790 200 1 [ [ X cana-790 200 2 2 2 NUM cana-790 200 3 ] ] PUNCT cana-790 200 4 boughattas boughatta NOUN cana-790 200 5 , , PUNCT cana-790 200 6 naouel naouel NOUN cana-790 200 7 , , PUNCT cana-790 200 8 and and CCONJ cana-790 200 9 hanen hanen PROPN cana-790 200 10 jabnoun jabnoun NOUN cana-790 200 11 . . PUNCT cana-790 201 1 β€œ " PUNCT cana-790 201 2 autism autism NOUN cana-790 201 3 spectrum spectrum NOUN cana-790 201 4 disorder disorder NOUN cana-790 201 5 ( ( PUNCT cana-790 201 6 asd asd NOUN cana-790 201 7 ) ) PUNCT cana-790 201 8 detection detection NOUN cana-790 201 9 using use VERB cana-790 201 10 machine machine NOUN cana-790 201 11 learning learning NOUN cana-790 201 12 algorithms algorithm NOUN cana-790 201 13 . . PUNCT cana-790 201 14 ” " PUNCT cana-790 202 1 in in ADP cana-790 202 2 international international ADJ cana-790 202 3 conference conference NOUN cana-790 202 4 on on ADP cana-790 202 5 smart smart ADJ cana-790 202 6 homes home NOUN cana-790 202 7 and and CCONJ cana-790 202 8 health health NOUN cana-790 202 9 telematics telematic NOUN cana-790 202 10 , , PUNCT cana-790 202 11 pp pp ADJ cana-790 202 12 . . PUNCT cana-790 202 13 225 225 NUM cana-790 202 14 - - SYM cana-790 202 15 233 233 NUM cana-790 202 16 . . PUNCT cana-790 202 17 cham cham PROPN cana-790 202 18 : : PUNCT cana-790 202 19 springer springer NOUN cana-790 202 20 international international ADJ cana-790 202 21 publishing publishing NOUN cana-790 202 22 , , PUNCT cana-790 202 23 2022 2022 NUM cana-790 202 24 . . PUNCT cana-790 203 1 [ [ X cana-790 203 2 3 3 X cana-790 203 3 ] ] X cana-790 203 4 koc koc PROPN cana-790 203 5 , , PUNCT cana-790 203 6 emel emel PROPN cana-790 203 7 , , PUNCT cana-790 203 8 habil habil PROPN cana-790 203 9 kalkan kalkan PROPN cana-790 203 10 , , PUNCT cana-790 203 11 and and CCONJ cana-790 203 12 semih semih PROPN cana-790 203 13 bilgen bilgen NOUN cana-790 203 14 . . PUNCT cana-790 204 1 " " PUNCT cana-790 204 2 autism autism NOUN cana-790 204 3 spectrum spectrum NOUN cana-790 204 4 disorder disorder NOUN cana-790 204 5 detection detection NOUN cana-790 204 6 by by ADP cana-790 204 7 hybrid hybrid ADJ cana-790 204 8 convolutional convolutional ADJ cana-790 204 9 recurrent recurrent ADJ cana-790 204 10 neural neural ADJ cana-790 204 11 networks network NOUN cana-790 204 12 from from ADP cana-790 204 13 structural structural ADJ cana-790 204 14 and and CCONJ cana-790 204 15 resting rest VERB cana-790 204 16 state state NOUN cana-790 204 17 functional functional ADJ cana-790 204 18 mri mri NOUN cana-790 204 19 images image NOUN cana-790 204 20 . . PUNCT cana-790 204 21 " " PUNCT cana-790 204 22 autism autism NOUN cana-790 204 23 research research NOUN cana-790 204 24 and and CCONJ cana-790 204 25 treatment treatment NOUN cana-790 204 26 2023 2023 NUM cana-790 204 27 , , PUNCT cana-790 204 28 no no INTJ cana-790 204 29 . . NOUN cana-790 204 30 1 1 NUM cana-790 204 31 ( ( PUNCT cana-790 204 32 2023 2023 NUM cana-790 204 33 ): ): PUNCT cana-790 204 34 4136087 4136087 NUM cana-790 204 35 . . PUNCT cana-790 205 1 [ [ X cana-790 205 2 4 4 NUM cana-790 205 3 ] ] X cana-790 205 4 ganesan ganesan NOUN cana-790 205 5 , , PUNCT cana-790 205 6 srividhya srividhya PROPN cana-790 205 7 , , PUNCT cana-790 205 8 and and CCONJ cana-790 205 9 j. j. PROPN cana-790 205 10 senthil senthil PROPN cana-790 205 11 . . PUNCT cana-790 206 1 " " PUNCT cana-790 206 2 prediction prediction NOUN cana-790 206 3 of of ADP cana-790 206 4 autism autism NOUN cana-790 206 5 spectrum spectrum NOUN cana-790 206 6 disorder disorder NOUN cana-790 206 7 by by ADP cana-790 206 8 facial facial ADJ cana-790 206 9 recognition recognition NOUN cana-790 206 10 using use VERB cana-790 206 11 machine machine NOUN cana-790 206 12 learning learning NOUN cana-790 206 13 . . PUNCT cana-790 206 14 " " PUNCT cana-790 207 1 webology webology NOUN cana-790 207 2 18 18 NUM cana-790 207 3 , , PUNCT cana-790 207 4 no no INTJ cana-790 207 5 . . PUNCT cana-790 208 1 special special ADJ cana-790 208 2 issue issue NOUN cana-790 208 3 on on ADP cana-790 208 4 information information NOUN cana-790 208 5 retrieval retrieval NOUN cana-790 208 6 and and CCONJ cana-790 208 7 web web NOUN cana-790 208 8 search search NOUN cana-790 208 9 ( ( PUNCT cana-790 208 10 2021 2021 NUM cana-790 208 11 ): ): PUNCT cana-790 208 12 406417 406417 NUM cana-790 208 13 . . PUNCT cana-790 209 1 [ [ X cana-790 209 2 5 5 NUM cana-790 209 3 ] ] PUNCT cana-790 209 4 guenther guenther PROPN cana-790 209 5 , , PUNCT cana-790 209 6 katja katja PROPN cana-790 209 7 . . PUNCT cana-790 210 1 " " PUNCT cana-790 210 2 β€˜ ' PUNCT cana-790 210 3 it it PRON cana-790 210 4 ’s ’s AUX cana-790 210 5 all all PRON cana-790 210 6 done do VERB cana-790 210 7 with with ADP cana-790 210 8 mirrors mirror NOUN cana-790 210 9 ’ ' PUNCT cana-790 210 10 : : PUNCT cana-790 210 11 vs vs ADP cana-790 210 12 ramachandran ramachandran PROPN cana-790 210 13 and and CCONJ cana-790 210 14 the the DET cana-790 210 15 material material NOUN cana-790 210 16 culture culture NOUN cana-790 210 17 of of ADP cana-790 210 18 phantom phantom ADJ cana-790 210 19 limb limb NOUN cana-790 210 20 research research NOUN cana-790 210 21 . . PUNCT cana-790 210 22 " " PUNCT cana-790 211 1 medical medical ADJ cana-790 211 2 history history NOUN cana-790 211 3 60 60 NUM cana-790 211 4 , , PUNCT cana-790 211 5 no no INTJ cana-790 211 6 . . NOUN cana-790 211 7 3 3 NUM cana-790 211 8 ( ( PUNCT cana-790 211 9 2016 2016 NUM cana-790 211 10 ): ): PUNCT cana-790 211 11 342 342 NUM cana-790 211 12 - - SYM cana-790 211 13 358 358 NUM cana-790 211 14 . . PUNCT cana-790 212 1 [ [ X cana-790 212 2 6 6 NUM cana-790 212 3 ] ] X cana-790 212 4 hossain hossain PROPN cana-790 212 5 , , PUNCT cana-790 212 6 md md PROPN cana-790 212 7 delowar delowar PROPN cana-790 212 8 , , PUNCT cana-790 212 9 muhammad muhammad PROPN cana-790 212 10 ashad ashad VERB cana-790 212 11 kabir kabir PROPN cana-790 212 12 , , PUNCT cana-790 212 13 adnan adnan PROPN cana-790 212 14 anwar anwar PROPN cana-790 212 15 , , PUNCT cana-790 212 16 and and CCONJ cana-790 212 17 md md PROPN cana-790 212 18 zahidul zahidul PROPN cana-790 212 19 islam islam PROPN cana-790 212 20 . . PUNCT cana-790 213 1 β€œ " PUNCT cana-790 213 2 detecting detect VERB cana-790 213 3 autism autism NOUN cana-790 213 4 spectrum spectrum NOUN cana-790 213 5 disorder disorder NOUN cana-790 213 6 using use VERB cana-790 213 7 machine machine NOUN cana-790 213 8 learning learn VERB cana-790 213 9 techniques technique NOUN cana-790 213 10 : : PUNCT cana-790 213 11 an an DET cana-790 213 12 experimental experimental ADJ cana-790 213 13 analysis analysis NOUN cana-790 213 14 on on ADP cana-790 213 15 toddler toddler NOUN cana-790 213 16 , , PUNCT cana-790 213 17 child child NOUN cana-790 213 18 , , PUNCT cana-790 213 19 adolescent adolescent ADJ cana-790 213 20 and and CCONJ cana-790 213 21 adult adult NOUN cana-790 213 22 datasets dataset NOUN cana-790 213 23 . . PUNCT cana-790 213 24 ” " PUNCT cana-790 214 1 health health NOUN cana-790 214 2 information information NOUN cana-790 214 3 science science NOUN cana-790 214 4 and and CCONJ cana-790 214 5 systems system NOUN cana-790 214 6 9 9 NUM cana-790 214 7 ( ( PUNCT cana-790 214 8 2021 2021 NUM cana-790 214 9 ): ): PUNCT cana-790 214 10 1 1 NUM cana-790 214 11 - - SYM cana-790 214 12 13 13 NUM cana-790 214 13 . . PUNCT cana-790 215 1 [ [ X cana-790 215 2 7 7 NUM cana-790 215 3 ] ] X cana-790 215 4 lamani lamani PROPN cana-790 215 5 , , PUNCT cana-790 215 6 manjunath manjunath PROPN cana-790 215 7 ramanna ramanna PROPN cana-790 215 8 , , PUNCT cana-790 215 9 and and CCONJ cana-790 215 10 p. p. PROPN cana-790 215 11 julian julian PROPN cana-790 215 12 benadit benadit NOUN cana-790 215 13 . . PUNCT cana-790 216 1 β€œ " PUNCT cana-790 216 2 automatic automatic ADJ cana-790 216 3 diagnosis diagnosis NOUN cana-790 216 4 of of ADP cana-790 216 5 autism autism NOUN cana-790 216 6 spectrum spectrum NOUN cana-790 216 7 disorder disorder NOUN cana-790 216 8 detection detection NOUN cana-790 216 9 using use VERB cana-790 216 10 a a DET cana-790 216 11 hybrid hybrid ADJ cana-790 216 12 feature feature NOUN cana-790 216 13 selection selection NOUN cana-790 216 14 model model NOUN cana-790 216 15 with with ADP cana-790 216 16 graph graph NOUN cana-790 216 17 convolution convolution NOUN cana-790 216 18 network network NOUN cana-790 216 19 . . PUNCT cana-790 216 20 ” " PUNCT cana-790 217 1 sn sn PROPN cana-790 217 2 computer computer NOUN cana-790 217 3 science science NOUN cana-790 217 4 5 5 NUM cana-790 217 5 , , PUNCT cana-790 217 6 no no INTJ cana-790 217 7 . . NOUN cana-790 217 8 1 1 NUM cana-790 217 9 ( ( PUNCT cana-790 217 10 2023 2023 NUM cana-790 217 11 ): ): PUNCT cana-790 217 12 126 126 NUM cana-790 217 13 . . PUNCT cana-790 218 1 [ [ X cana-790 218 2 8 8 NUM cana-790 218 3 ] ] X cana-790 218 4 loth loth NOUN cana-790 218 5 , , PUNCT cana-790 218 6 eva eva PROPN cana-790 218 7 , , PUNCT cana-790 218 8 lucia lucia PROPN cana-790 218 9 garrido garrido PROPN cana-790 218 10 , , PUNCT cana-790 218 11 jumana jumana PROPN cana-790 218 12 ahmad ahmad PROPN cana-790 218 13 , , PUNCT cana-790 218 14 ekaterina ekaterina PROPN cana-790 218 15 watson watson PROPN cana-790 218 16 , , PUNCT cana-790 218 17 alexa alexa PROPN cana-790 218 18 duff duff PROPN cana-790 218 19 , , PUNCT cana-790 218 20 and and CCONJ cana-790 218 21 bradley bradley PROPN cana-790 218 22 duchaine duchaine PROPN cana-790 218 23 . . PUNCT cana-790 219 1 β€œ " PUNCT cana-790 219 2 facial facial ADJ cana-790 219 3 expression expression NOUN cana-790 219 4 recognition recognition NOUN cana-790 219 5 as as ADP cana-790 219 6 a a DET cana-790 219 7 candidate candidate NOUN cana-790 219 8 marker marker NOUN cana-790 219 9 for for ADP cana-790 219 10 autism autism NOUN cana-790 219 11 spectrum spectrum NOUN cana-790 219 12 disorder disorder NOUN cana-790 219 13 : : PUNCT cana-790 219 14 how how SCONJ cana-790 219 15 frequent frequent ADJ cana-790 219 16 and and CCONJ cana-790 219 17 severe severe ADJ cana-790 219 18 are be AUX cana-790 219 19 the the DET cana-790 219 20 deficits deficit NOUN cana-790 219 21 ? ? PUNCT cana-790 219 22 ” " PUNCT cana-790 220 1 molecular molecular ADJ cana-790 220 2 autism autism NOUN cana-790 220 3 9 9 NUM cana-790 220 4 ( ( PUNCT cana-790 220 5 2018 2018 NUM cana-790 220 6 ): ): PUNCT cana-790 220 7 1 1 NUM cana-790 220 8 - - SYM cana-790 220 9 11 11 NUM cana-790 220 10 . . PUNCT cana-790 221 1 [ [ X cana-790 221 2 9 9 NUM cana-790 221 3 ] ] SYM cana-790 221 4 miles mile NOUN cana-790 221 5 , , PUNCT cana-790 221 6 judith judith PROPN cana-790 221 7 h. h. PROPN cana-790 221 8 , , PUNCT cana-790 221 9 t. t. PROPN cana-790 221 10 nicole nicole PROPN cana-790 221 11 takahashi takahashi PROPN cana-790 221 12 , , PUNCT cana-790 221 13 julie julie PROPN cana-790 221 14 hong hong PROPN cana-790 221 15 , , PUNCT cana-790 221 16 nicole nicole PROPN cana-790 221 17 munden munden PROPN cana-790 221 18 , , PUNCT cana-790 221 19 nancy nancy PROPN cana-790 221 20 flournoy flournoy PROPN cana-790 221 21 , , PUNCT cana-790 221 22 stephen stephen PROPN cana-790 221 23 r. r. PROPN cana-790 221 24 braddock braddock PROPN cana-790 221 25 , , PUNCT cana-790 221 26 rick rick PROPN cana-790 221 27 a. a. PROPN cana-790 221 28 martin martin PROPN cana-790 221 29 , , PUNCT cana-790 221 30 m. m. PROPN cana-790 221 31 anne anne PROPN cana-790 221 32 spence spence PROPN cana-790 221 33 , , PUNCT cana-790 221 34 richard richard PROPN cana-790 221 35 e. e. PROPN cana-790 221 36 hillman hillman PROPN cana-790 221 37 , , PUNCT cana-790 221 38 and and CCONJ cana-790 221 39 janet janet PROPN cana-790 221 40 e. e. PROPN cana-790 221 41 farmer farmer PROPN cana-790 221 42 . . PUNCT cana-790 222 1 β€œ " PUNCT cana-790 222 2 development development NOUN cana-790 222 3 and and CCONJ cana-790 222 4 validation validation NOUN cana-790 222 5 of of ADP cana-790 222 6 a a DET cana-790 222 7 measure measure NOUN cana-790 222 8 of of ADP cana-790 222 9 dysmorphology dysmorphology NOUN cana-790 222 10 : : PUNCT cana-790 222 11 useful useful ADJ cana-790 222 12 for for ADP cana-790 222 13 autism autism NOUN cana-790 222 14 subgroup subgroup NOUN cana-790 222 15 classification classification NOUN cana-790 222 16 . . PUNCT cana-790 222 17 ” " PUNCT cana-790 223 1 american american PROPN cana-790 223 2 journal journal PROPN cana-790 223 3 of of ADP cana-790 223 4 medical medical ADJ cana-790 223 5 genetics genetic NOUN cana-790 223 6 part part NOUN cana-790 223 7 a a DET cana-790 223 8 146 146 NUM cana-790 223 9 , , PUNCT cana-790 223 10 no no INTJ cana-790 223 11 . . NOUN cana-790 223 12 9 9 NUM cana-790 223 13 ( ( PUNCT cana-790 223 14 2008 2008 NUM cana-790 223 15 ): ): PUNCT cana-790 223 16 1101 1101 NUM cana-790 223 17 - - SYM cana-790 223 18 1116 1116 NUM cana-790 223 19 . . PUNCT cana-790 224 1 [ [ X cana-790 224 2 10 10 NUM cana-790 224 3 ] ] X cana-790 224 4 moridian moridian NOUN cana-790 224 5 , , PUNCT cana-790 224 6 parisa parisa PROPN cana-790 224 7 , , PUNCT cana-790 224 8 navid navid PROPN cana-790 224 9 ghassemi ghassemi PROPN cana-790 224 10 , , PUNCT cana-790 224 11 mahboobeh mahboobeh PROPN cana-790 224 12 jafari jafari PROPN cana-790 224 13 , , PUNCT cana-790 224 14 salam salam PROPN cana-790 224 15 salloum salloum PROPN cana-790 224 16 - - PUNCT cana-790 224 17 asfar asfar ADV cana-790 224 18 , , PUNCT cana-790 224 19 delaram delaram PROPN cana-790 224 20 sadeghi sadeghi PROPN cana-790 224 21 , , PUNCT cana-790 224 22 marjane marjane ADJ cana-790 224 23 khodatars khodatar NOUN cana-790 224 24 , , PUNCT cana-790 224 25 afshin afshin PROPN cana-790 224 26 shoeibi shoeibi PROPN cana-790 224 27 et et PROPN cana-790 224 28 al al PROPN cana-790 224 29 . . PUNCT cana-790 225 1 " " PUNCT cana-790 225 2 automatic automatic ADJ cana-790 225 3 autism autism NOUN cana-790 225 4 spectrum spectrum NOUN cana-790 225 5 disorder disorder NOUN cana-790 225 6 detection detection NOUN cana-790 225 7 using use VERB cana-790 225 8 artificial artificial ADJ cana-790 225 9 intelligence intelligence NOUN cana-790 225 10 methods method NOUN cana-790 225 11 with with ADP cana-790 225 12 mri mri NOUN cana-790 225 13 neuroimaging neuroimaging NOUN cana-790 225 14 : : PUNCT cana-790 225 15 a a DET cana-790 225 16 review review NOUN cana-790 225 17 . . PUNCT cana-790 225 18 " " PUNCT cana-790 226 1 frontiers frontier NOUN cana-790 226 2 in in ADP cana-790 226 3 molecular molecular ADJ cana-790 226 4 neuroscience neuroscience NOUN cana-790 226 5 15 15 NUM cana-790 226 6 ( ( PUNCT cana-790 226 7 2022 2022 NUM cana-790 226 8 ): ): PUNCT cana-790 226 9 999605 999605 NUM cana-790 226 10 . . PUNCT cana-790 227 1 [ [ X cana-790 227 2 11 11 NUM cana-790 227 3 ] ] X cana-790 227 4 mujeeb mujeeb PROPN cana-790 227 5 rahman rahman PROPN cana-790 227 6 , , PUNCT cana-790 227 7 k. k. PROPN cana-790 227 8 k. k. PROPN cana-790 227 9 , , PUNCT cana-790 227 10 and and CCONJ cana-790 227 11 m. m. NOUN cana-790 227 12 monica monica PROPN cana-790 227 13 subashini subashini PROPN cana-790 227 14 . . PUNCT cana-790 228 1 β€œ " PUNCT cana-790 228 2 identification identification NOUN cana-790 228 3 of of ADP cana-790 228 4 autism autism NOUN cana-790 228 5 in in ADP cana-790 228 6 children child NOUN cana-790 228 7 using use VERB cana-790 228 8 static static ADJ cana-790 228 9 facial facial ADJ cana-790 228 10 features feature NOUN cana-790 228 11 and and CCONJ cana-790 228 12 deep deep ADJ cana-790 228 13 neural neural ADJ cana-790 228 14 networks network NOUN cana-790 228 15 . . PUNCT cana-790 228 16 ” " PUNCT cana-790 229 1 brain brain NOUN cana-790 229 2 sciences science NOUN cana-790 229 3 12 12 NUM cana-790 229 4 , , PUNCT cana-790 229 5 no no INTJ cana-790 229 6 . . NOUN cana-790 229 7 1 1 NUM cana-790 229 8 ( ( PUNCT cana-790 229 9 2022 2022 NUM cana-790 229 10 ): ): PUNCT cana-790 229 11 94 94 NUM cana-790 229 12 . . PUNCT cana-790 230 1 communications communication NOUN cana-790 230 2 on on ADP cana-790 230 3 applied apply VERB cana-790 230 4 nonlinear nonlinear ADJ cana-790 230 5 analysis analysis NOUN cana-790 230 6 issn issn NOUN cana-790 230 7 : : PUNCT cana-790 230 8 1074 1074 NUM cana-790 230 9 - - PUNCT cana-790 230 10 133x 133x NUM cana-790 230 11 vol vol NOUN cana-790 230 12 31 31 NUM cana-790 230 13 no no NOUN cana-790 230 14 . . PUNCT cana-790 231 1 3s 3s NUM cana-790 231 2 ( ( PUNCT cana-790 231 3 2024 2024 NUM cana-790 231 4 ) ) PUNCT cana-790 231 5 418 418 NUM cana-790 231 6 https://internationalpubls.com https://internationalpubls.com X cana-790 232 1 [ [ X cana-790 232 2 12 12 NUM cana-790 232 3 ] ] PUNCT cana-790 232 4 praba praba NOUN cana-790 232 5 , , PUNCT cana-790 232 6 b b NOUN cana-790 232 7 ; ; PUNCT cana-790 232 8 balambal balambal PROPN cana-790 232 9 suryanarayanan suryanarayanan PROPN cana-790 232 10 ; ; PUNCT cana-790 232 11 d. d. PROPN cana-790 232 12 nagarajan nagarajan PROPN cana-790 232 13 ; ; PUNCT cana-790 232 14 and and CCONJ cana-790 232 15 said say VERB cana-790 232 16 broumi broumi NOUN cana-790 232 17 . . PUNCT cana-790 233 1 β€œ " PUNCT cana-790 233 2 analysis analysis NOUN cana-790 233 3 of of ADP cana-790 233 4 teaching teaching NOUN cana-790 233 5 - - PUNCT cana-790 233 6 learning learn VERB cana-790 233 7 efficiency efficiency NOUN cana-790 233 8 using use VERB cana-790 233 9 attribute attribute NOUN cana-790 233 10 based base VERB cana-790 233 11 double double ADV cana-790 233 12 bounded bound VERB cana-790 233 13 rough rough ADJ cana-790 233 14 neutrosophic neutrosophic ADJ cana-790 233 15 set set NOUN cana-790 233 16 driven drive VERB cana-790 233 17 random random ADJ cana-790 233 18 forests forest NOUN cana-790 233 19 . . PUNCT cana-790 233 20 ” " PUNCT cana-790 234 1 neutrosophic neutrosophic ADJ cana-790 234 2 sets set NOUN cana-790 234 3 and and CCONJ cana-790 234 4 systems system NOUN cana-790 234 5 55 55 NUM cana-790 234 6 , , PUNCT cana-790 234 7 1 1 NUM cana-790 234 8 ( ( PUNCT cana-790 234 9 2023 2023 NUM cana-790 234 10 ) ) PUNCT cana-790 234 11 . . PUNCT cana-790 235 1 [ [ X cana-790 235 2 13 13 NUM cana-790 235 3 ] ] X cana-790 235 4 praba praba PROPN cana-790 235 5 , , PUNCT cana-790 235 6 b. b. PROPN cana-790 235 7 , , PUNCT cana-790 235 8 s. s. PROPN cana-790 235 9 pooja pooja PROPN cana-790 235 10 , , PUNCT cana-790 235 11 and and CCONJ cana-790 235 12 nethraa nethraa PROPN cana-790 235 13 sivakumar sivakumar PROPN cana-790 235 14 . . PUNCT cana-790 236 1 β€œ " PUNCT cana-790 236 2 attribute attribute NOUN cana-790 236 3 based base VERB cana-790 236 4 double double ADV cana-790 236 5 bounded bound VERB cana-790 236 6 rough rough ADJ cana-790 236 7 neutrosophic neutrosophic ADJ cana-790 236 8 sets set NOUN cana-790 236 9 in in ADP cana-790 236 10 facial facial ADJ cana-790 236 11 expression expression NOUN cana-790 236 12 detection detection NOUN cana-790 236 13 . . PUNCT cana-790 236 14 ” " PUNCT cana-790 237 1 neutrosophic neutrosophic ADJ cana-790 237 2 sets set NOUN cana-790 237 3 and and CCONJ cana-790 237 4 systems system NOUN cana-790 237 5 49 49 NUM cana-790 237 6 ( ( PUNCT cana-790 237 7 2022 2022 NUM cana-790 237 8 ): ): PUNCT cana-790 237 9 324 324 NUM cana-790 237 10 - - SYM cana-790 237 11 340 340 NUM cana-790 237 12 . . PUNCT cana-790 238 1 [ [ X cana-790 238 2 14 14 NUM cana-790 238 3 ] ] X cana-790 238 4 praveena praveena NOUN cana-790 238 5 , , PUNCT cana-790 238 6 t. t. NOUN cana-790 238 7 lakshmi lakshmi NOUN cana-790 238 8 , , PUNCT cana-790 238 9 and and CCONJ cana-790 238 10 nv nv PROPN cana-790 238 11 muthu muthu PROPN cana-790 238 12 lakshmi lakshmi PROPN cana-790 238 13 . . PUNCT cana-790 239 1 " " PUNCT cana-790 239 2 perception perception NOUN cana-790 239 3 of of ADP cana-790 239 4 autism autism NOUN cana-790 239 5 spectrum spectrum NOUN cana-790 239 6 disorder disorder NOUN cana-790 239 7 children child NOUN cana-790 239 8 by by ADP cana-790 239 9 envisaging envisage VERB cana-790 239 10 emotions emotion NOUN cana-790 239 11 from from ADP cana-790 239 12 the the DET cana-790 239 13 facial facial ADJ cana-790 239 14 images image NOUN cana-790 239 15 . . PUNCT cana-790 239 16 " " PUNCT cana-790 240 1 international international ADJ cana-790 240 2 journal journal NOUN cana-790 240 3 of of ADP cana-790 240 4 engineering engineering NOUN cana-790 240 5 and and CCONJ cana-790 240 6 advanced advanced ADJ cana-790 240 7 technology technology NOUN cana-790 240 8 ( ( PUNCT cana-790 240 9 ijeat ijeat NOUN cana-790 240 10 ) ) PUNCT cana-790 240 11 10 10 NUM cana-790 240 12 , , PUNCT cana-790 240 13 no no INTJ cana-790 240 14 . . NOUN cana-790 240 15 2 2 NUM cana-790 240 16 ( ( PUNCT cana-790 240 17 2020 2020 NUM cana-790 240 18 ) ) PUNCT cana-790 240 19 . . PUNCT cana-790 241 1 [ [ X cana-790 241 2 15 15 NUM cana-790 241 3 ] ] X cana-790 241 4 ramachandran ramachandran PROPN cana-790 241 5 , , PUNCT cana-790 241 6 vilayanur vilayanur PROPN cana-790 241 7 s. s. PROPN cana-790 241 8 , , PUNCT cana-790 241 9 and and CCONJ cana-790 241 10 diane diane NOUN cana-790 241 11 rogers rogers PROPN cana-790 241 12 - - PUNCT cana-790 241 13 ramachandran ramachandran PROPN cana-790 241 14 . . PUNCT cana-790 242 1 " " PUNCT cana-790 242 2 synaesthesia synaesthesia NOUN cana-790 242 3 in in ADP cana-790 242 4 phantom phantom ADJ cana-790 242 5 limbs limb NOUN cana-790 242 6 induced induce VERB cana-790 242 7 with with ADP cana-790 242 8 mirrors mirror NOUN cana-790 242 9 . . PUNCT cana-790 242 10 " " PUNCT cana-790 243 1 proceedings proceeding NOUN cana-790 243 2 of of ADP cana-790 243 3 the the DET cana-790 243 4 royal royal ADJ cana-790 243 5 society society NOUN cana-790 243 6 of of ADP cana-790 243 7 london london PROPN cana-790 243 8 . . PUNCT cana-790 244 1 series series PROPN cana-790 244 2 b b PROPN cana-790 244 3 : : PUNCT cana-790 244 4 biological biological ADJ cana-790 244 5 sciences science NOUN cana-790 244 6 263 263 NUM cana-790 244 7 , , PUNCT cana-790 244 8 no no INTJ cana-790 244 9 . . NOUN cana-790 244 10 1369 1369 NUM cana-790 244 11 ( ( PUNCT cana-790 244 12 1996 1996 NUM cana-790 244 13 ): ): PUNCT cana-790 244 14 377 377 NUM cana-790 244 15 - - SYM cana-790 244 16 386 386 NUM cana-790 244 17 . . PUNCT cana-790 245 1 [ [ X cana-790 245 2 16 16 NUM cana-790 245 3 ] ] X cana-790 245 4 shanker shanker PROPN cana-790 245 5 , , PUNCT cana-790 245 6 stuart stuart PROPN cana-790 245 7 . . PUNCT cana-790 246 1 " " PUNCT cana-790 246 2 autism autism NOUN cana-790 246 3 and and CCONJ cana-790 246 4 the the DET cana-790 246 5 dynamic dynamic ADJ cana-790 246 6 developmental developmental ADJ cana-790 246 7 model model NOUN cana-790 246 8 of of ADP cana-790 246 9 emotions emotion NOUN cana-790 246 10 . . PUNCT cana-790 246 11 " " PUNCT cana-790 247 1 philosophy philosophy NOUN cana-790 247 2 , , PUNCT cana-790 247 3 psychiatry psychiatry NOUN cana-790 247 4 , , PUNCT cana-790 247 5 & & CCONJ cana-790 247 6 psychology psychology NOUN cana-790 247 7 11 11 NUM cana-790 247 8 , , PUNCT cana-790 247 9 no no INTJ cana-790 247 10 . . NOUN cana-790 247 11 3 3 NUM cana-790 247 12 ( ( PUNCT cana-790 247 13 2004 2004 NUM cana-790 247 14 ): ): PUNCT cana-790 247 15 219 219 NUM cana-790 247 16 - - SYM cana-790 247 17 233 233 NUM cana-790 247 18 . . PUNCT cana-790 248 1 [ [ X cana-790 248 2 17 17 NUM cana-790 248 3 ] ] X cana-790 248 4 weston weston PROPN cana-790 248 5 , , PUNCT cana-790 248 6 charles charles PROPN cana-790 248 7 se se PROPN cana-790 248 8 . . PUNCT cana-790 248 9 " " PUNCT cana-790 248 10 four four NUM cana-790 248 11 social social ADJ cana-790 248 12 brain brain NOUN cana-790 248 13 regions region NOUN cana-790 248 14 , , PUNCT cana-790 248 15 their their PRON cana-790 248 16 dysfunctions dysfunction NOUN cana-790 248 17 , , PUNCT cana-790 248 18 and and CCONJ cana-790 248 19 sequelae sequelae NOUN cana-790 248 20 , , PUNCT cana-790 248 21 extensively extensively ADV cana-790 248 22 explain explain VERB cana-790 248 23 autism autism NOUN cana-790 248 24 spectrum spectrum NOUN cana-790 248 25 disorder disorder NOUN cana-790 248 26 symptomatology symptomatology NOUN cana-790 248 27 . . PUNCT cana-790 248 28 " " PUNCT cana-790 249 1 brain brain NOUN cana-790 249 2 sciences science NOUN cana-790 249 3 9 9 NUM cana-790 249 4 , , PUNCT cana-790 249 5 no no INTJ cana-790 249 6 . . NOUN cana-790 249 7 6 6 NUM cana-790 249 8 ( ( PUNCT cana-790 249 9 2019 2019 NUM cana-790 249 10 ): ): PUNCT cana-790 249 11 130 130 NUM cana-790 249 12 . . PUNCT cana-790 250 1 [ [ X cana-790 250 2 18 18 NUM cana-790 250 3 ] ] X cana-790 250 4 https://www.spectrumnews.org/news/people-autism-sometimes-give-ambiguous-looks/ https://www.spectrumnews.org/news/people-autism-sometimes-give-ambiguous-looks/ PROPN cana-790 251 1 [ [ X cana-790 251 2 19 19 NUM cana-790 251 3 ] ] PUNCT cana-790 251 4 https://www.abtaba.com/blog/autism-facial-expressions https://www.abtaba.com/blog/autism-facial-expression NOUN cana-790 252 1 [ [ X cana-790 252 2 20 20 NUM cana-790 252 3 ] ] X cana-790 252 4 https://www.medicalnewstoday.com/articles/325106#levels-of-autism https://www.medicalnewstoday.com/articles/325106#levels-of-autism PROPN cana-790 252 5 https://www.spectrumnews.org/news/people-autism-sometimes-give-ambiguous-looks/ https://www.spectrumnews.org/news/people-autism-sometimes-give-ambiguous-looks/ PROPN cana-790 252 6 https://www.abtaba.com/blog/autism-facial-expressions https://www.abtaba.com/blog/autism-facial-expressions PROPN cana-790 252 7 https://www.medicalnewstoday.com/articles/325106#levels-of-autism https://www.medicalnewstoday.com/articles/325106#levels-of-autism PROPN