{"id":"https://openalex.org/W3190491613","doi":"https://doi.org/10.1109/fuzz45933.2021.9494450","title":"Necessary and sufficient condition for the existence of Atanassov's Intuitionistic Fuzzy based additive definite integral","display_name":"Necessary and sufficient condition for the existence of Atanassov's Intuitionistic Fuzzy based additive definite integral","publication_year":2021,"publication_date":"2021-07-11","ids":{"openalex":"https://openalex.org/W3190491613","doi":"https://doi.org/10.1109/fuzz45933.2021.9494450","mag":"3190491613"},"language":"en","primary_location":{"id":"doi:10.1109/fuzz45933.2021.9494450","is_oa":false,"landing_page_url":"https://doi.org/10.1109/fuzz45933.2021.9494450","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2021 IEEE International Conference on Fuzzy Systems (FUZZ-IEEE)","raw_type":"proceedings-article"},"type":"conference-paper","indexed_in":["crossref"],"open_access":{"is_oa":false,"oa_status":"closed","oa_url":null,"any_repository_has_fulltext":false},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5051622108","display_name":"Mohd Shoaib Khan","orcid":"https://orcid.org/0000-0002-2822-7608"},"institutions":[{"id":"https://openalex.org/I90425906","display_name":"South Asian University","ror":"https://ror.org/02kjyst95","country_code":"IN","type":"education","lineage":["https://openalex.org/I90425906"]}],"countries":["IN"],"is_corresponding":false,"raw_author_name":"Mohd Shoaib Khan","raw_affiliation_strings":["South Asian University, New Delhi"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"South Asian University, New Delhi","institution_ids":["https://openalex.org/I90425906"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5066657755","display_name":"Ashutosh Tiwari","orcid":"https://orcid.org/0000-0002-6197-1519"},"institutions":[{"id":"https://openalex.org/I90425906","display_name":"South Asian University","ror":"https://ror.org/02kjyst95","country_code":"IN","type":"education","lineage":["https://openalex.org/I90425906"]}],"countries":["IN"],"is_corresponding":false,"raw_author_name":"Ashutosh Tiwari","raw_affiliation_strings":["South Asian University, New Delhi"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"South Asian University, New Delhi","institution_ids":["https://openalex.org/I90425906"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5044865157","display_name":"Q. M. Danish Lohani","orcid":"https://orcid.org/0000-0002-2006-3709"},"institutions":[{"id":"https://openalex.org/I90425906","display_name":"South Asian University","ror":"https://ror.org/02kjyst95","country_code":"IN","type":"education","lineage":["https://openalex.org/I90425906"]}],"countries":["IN"],"is_corresponding":false,"raw_author_name":"Q.M. Danish Lohani","raw_affiliation_strings":["South Asian University, New Delhi"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"South Asian University, New Delhi","institution_ids":["https://openalex.org/I90425906"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":[],"corresponding_institution_ids":["https://openalex.org/I90425906"],"apc_list":null,"apc_paid":null,"fwci":1.3521,"has_fulltext":false,"cited_by_count":4,"citation_normalized_percentile":{"value":0.80689413,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":94,"max":96},"biblio":{"volume":"20 2","issue":null,"first_page":"1","last_page":"6"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10050","display_name":"Multi-Criteria Decision Making","score":0.9994000196456909,"subfield":{"id":"https://openalex.org/subfields/1803","display_name":"Management Science and Operations Research"},"field":{"id":"https://openalex.org/fields/18","display_name":"Decision Sciences"},"domain":{"id":"https://openalex.org/domains/2","display_name":"Social Sciences"}},"topics":[{"id":"https://openalex.org/T10050","display_name":"Multi-Criteria Decision Making","score":0.9994000196456909,"subfield":{"id":"https://openalex.org/subfields/1803","display_name":"Management Science and Operations Research"},"field":{"id":"https://openalex.org/fields/18","display_name":"Decision Sciences"},"domain":{"id":"https://openalex.org/domains/2","display_name":"Social Sciences"}},{"id":"https://openalex.org/T12135","display_name":"Fuzzy Systems and Optimization","score":0.9933000206947327,"subfield":{"id":"https://openalex.org/subfields/2613","display_name":"Statistics and Probability"},"field":{"id":"https://openalex.org/fields/26","display_name":"Mathematics"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T12709","display_name":"Optimization and Mathematical Programming","score":0.9904999732971191,"subfield":{"id":"https://openalex.org/subfields/2207","display_name":"Control and Systems Engineering"},"field":{"id":"https://openalex.org/fields/22","display_name":"Engineering"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.636039674282074},{"id":"https://openalex.org/keywords/aggregate","display_name":"Aggregate (composite)","score":0.5788192749023438},{"id":"https://openalex.org/keywords/fuzzy-set","display_name":"Fuzzy set","score":0.5746493339538574},{"id":"https://openalex.org/keywords/extension","display_name":"Extension (predicate logic)","score":0.5456134080886841},{"id":"https://openalex.org/keywords/fuzzy-logic","display_name":"Fuzzy logic","score":0.5385990738868713},{"id":"https://openalex.org/keywords/set","display_name":"Set (abstract data type)","score":0.520837128162384},{"id":"https://openalex.org/keywords/operator","display_name":"Operator (biology)","score":0.4435851275920868},{"id":"https://openalex.org/keywords/algebra-over-a-field","display_name":"Algebra over a field","score":0.40047433972358704},{"id":"https://openalex.org/keywords/calculus","display_name":"Calculus (dental)","score":0.3594425320625305},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.34236323833465576},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.33780229091644287},{"id":"https://openalex.org/keywords/pure-mathematics","display_name":"Pure mathematics","score":0.2549791932106018},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.21354946494102478},{"id":"https://openalex.org/keywords/medicine","display_name":"Medicine","score":0.07580077648162842}],"concepts":[{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.636039674282074},{"id":"https://openalex.org/C4679612","wikidata":"https://www.wikidata.org/wiki/Q866298","display_name":"Aggregate (composite)","level":2,"score":0.5788192749023438},{"id":"https://openalex.org/C42011625","wikidata":"https://www.wikidata.org/wiki/Q1055058","display_name":"Fuzzy set","level":3,"score":0.5746493339538574},{"id":"https://openalex.org/C2778029271","wikidata":"https://www.wikidata.org/wiki/Q5421931","display_name":"Extension (predicate logic)","level":2,"score":0.5456134080886841},{"id":"https://openalex.org/C58166","wikidata":"https://www.wikidata.org/wiki/Q224821","display_name":"Fuzzy logic","level":2,"score":0.5385990738868713},{"id":"https://openalex.org/C177264268","wikidata":"https://www.wikidata.org/wiki/Q1514741","display_name":"Set (abstract data type)","level":2,"score":0.520837128162384},{"id":"https://openalex.org/C17020691","wikidata":"https://www.wikidata.org/wiki/Q139677","display_name":"Operator (biology)","level":5,"score":0.4435851275920868},{"id":"https://openalex.org/C136119220","wikidata":"https://www.wikidata.org/wiki/Q1000660","display_name":"Algebra over a field","level":2,"score":0.40047433972358704},{"id":"https://openalex.org/C2777686260","wikidata":"https://www.wikidata.org/wiki/Q144037","display_name":"Calculus (dental)","level":2,"score":0.3594425320625305},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.34236323833465576},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.33780229091644287},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.2549791932106018},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.21354946494102478},{"id":"https://openalex.org/C71924100","wikidata":"https://www.wikidata.org/wiki/Q11190","display_name":"Medicine","level":0,"score":0.07580077648162842},{"id":"https://openalex.org/C199343813","wikidata":"https://www.wikidata.org/wiki/Q12128","display_name":"Dentistry","level":1,"score":0.0},{"id":"https://openalex.org/C192562407","wikidata":"https://www.wikidata.org/wiki/Q228736","display_name":"Materials science","level":0,"score":0.0},{"id":"https://openalex.org/C55493867","wikidata":"https://www.wikidata.org/wiki/Q7094","display_name":"Biochemistry","level":1,"score":0.0},{"id":"https://openalex.org/C158448853","wikidata":"https://www.wikidata.org/wiki/Q425218","display_name":"Repressor","level":4,"score":0.0},{"id":"https://openalex.org/C159985019","wikidata":"https://www.wikidata.org/wiki/Q181790","display_name":"Composite material","level":1,"score":0.0},{"id":"https://openalex.org/C185592680","wikidata":"https://www.wikidata.org/wiki/Q2329","display_name":"Chemistry","level":0,"score":0.0},{"id":"https://openalex.org/C199360897","wikidata":"https://www.wikidata.org/wiki/Q9143","display_name":"Programming language","level":1,"score":0.0},{"id":"https://openalex.org/C104317684","wikidata":"https://www.wikidata.org/wiki/Q7187","display_name":"Gene","level":2,"score":0.0},{"id":"https://openalex.org/C86339819","wikidata":"https://www.wikidata.org/wiki/Q407384","display_name":"Transcription factor","level":3,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1109/fuzz45933.2021.9494450","is_oa":false,"landing_page_url":"https://doi.org/10.1109/fuzz45933.2021.9494450","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2021 IEEE International Conference on Fuzzy Systems (FUZZ-IEEE)","raw_type":"proceedings-article"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":20,"referenced_works":["https://openalex.org/W624337913","https://openalex.org/W1526075880","https://openalex.org/W1594563152","https://openalex.org/W1916037859","https://openalex.org/W1971875039","https://openalex.org/W1975777423","https://openalex.org/W1980564456","https://openalex.org/W1981107087","https://openalex.org/W2029377923","https://openalex.org/W2050082080","https://openalex.org/W2342656879","https://openalex.org/W2949693766","https://openalex.org/W2955459602","https://openalex.org/W2979878155","https://openalex.org/W3082622234","https://openalex.org/W4211007335","https://openalex.org/W4289254296","https://openalex.org/W6640025919","https://openalex.org/W6643186835","https://openalex.org/W6645451138"],"related_works":["https://openalex.org/W2075768550","https://openalex.org/W3022218857","https://openalex.org/W2369178846","https://openalex.org/W2370289839","https://openalex.org/W2082716031","https://openalex.org/W2933494595","https://openalex.org/W4313347705","https://openalex.org/W1568049691","https://openalex.org/W1590096425","https://openalex.org/W2890485617"],"abstract_inverted_index":{"Atanassov":[0],"came":[1],"up":[2],"with":[3],"an":[4,140,164],"idea":[5],"of":[6,16,46,75,87,116,135,156],"the":[7,26,43,67,76,83,85,104,114,133,136],"intuitionistic":[8,68],"fuzzy":[9,18,33,69],"set":[10],"(AIFS),":[11],"primarily":[12],"a":[13,72,117,126,153],"generalized":[14],"extension":[15],"Zadeh's":[17,32],"set.":[19,34],"AIFS":[20,44,52],"is":[21,53,71,89,92,111,142,148,163],"more":[22],"supple":[23],"in":[24,56,58],"tackling":[25],"real":[27,50],"world's":[28],"unpredictability":[29],"rather":[30],"than":[31],"The":[35],"researchers":[36],"from":[37,161],"various":[38],"disciplines":[39],"are":[40],"attracted":[41],"to":[42,49,79,95,112,131,151],"because":[45],"its":[47],"proximity":[48],"life.":[51],"very":[54],"rich":[55],"literature":[57],"both":[59],"aspects,":[60],"i.e.,":[61],"theoretical":[62],"and":[63,81,128],"practical.":[64],"At":[65],"present,":[66],"integral":[70,88,99,121],"scorching":[73],"issue":[74],"AIFS.":[77],"Furthermore,":[78],"aggregate":[80,152],"process":[82],"data,":[84],"existence":[86,115,134],"compulsory.":[90],"It":[91,147],"reasonably":[93],"necessary":[94,127],"look":[96],"that":[97,150],"whether":[98],"exists":[100],"or":[101],"not":[102],"for":[103,144],"given":[105,118,137],"data.":[106],"Thus,":[107],"our":[108],"primary":[109],"aim":[110],"confirm":[113],"additive":[119],"definite":[120],"(ADI).":[122],"We":[123],"have":[124],"provided":[125],"sufficient":[129],"condition":[130],"prove":[132],"ADI.":[138],"Finally,":[139],"example":[141],"fabricated":[143],"application":[145],"grounds.":[146],"shown":[149],"vast":[154],"amount":[155],"data":[157],"aggregation":[158],"operator":[159],"prompted":[160],"ADI":[162],"outstanding":[165],"option.":[166]},"counts_by_year":[{"year":2023,"cited_by_count":2},{"year":2022,"cited_by_count":2}],"updated_date":"2026-07-29T14:22:42.915294","created_date":"2025-10-10T00:00:00"}