{"id":"https://openalex.org/W4394716511","doi":"https://doi.org/10.1142/s1793005725500395","title":"A Study of n-ary Groupoids Based on Hesitant Fuzzy Sets","display_name":"A Study of n-ary Groupoids Based on Hesitant Fuzzy Sets","publication_year":2024,"publication_date":"2024-04-11","ids":{"openalex":"https://openalex.org/W4394716511","doi":"https://doi.org/10.1142/s1793005725500395"},"language":"en","primary_location":{"id":"doi:10.1142/s1793005725500395","is_oa":false,"landing_page_url":"https://doi.org/10.1142/s1793005725500395","pdf_url":null,"source":{"id":"https://openalex.org/S135331755","display_name":"New Mathematics and Natural Computation","issn_l":"1793-0057","issn":["1793-0057","1793-7027"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319815","host_organization_name":"World Scientific","host_organization_lineage":["https://openalex.org/P4310319815"],"host_organization_lineage_names":["World Scientific"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"New Mathematics and Natural Computation","raw_type":"journal-article"},"type":"article","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/A5085160393","display_name":"D. R. Prince Williams","orcid":null},"institutions":[{"id":"https://openalex.org/I4403386702","display_name":"University of Technology and Applied Sciences-Suhar","ror":"https://ror.org/018g8cj68","country_code":"OM","type":"education","lineage":["https://openalex.org/I4403386702","https://openalex.org/I4405258755"]}],"countries":["OM"],"is_corresponding":false,"raw_author_name":"D. R. Prince Williams","raw_affiliation_strings":["College of Computing and Information Sciences, Department of Information and Technology, University of Technology and Applied, Sciences-Sohar Branch, Sultanate of Oman"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"College of Computing and Information Sciences, Department of Information and Technology, University of Technology and Applied, Sciences-Sohar Branch, Sultanate of Oman","institution_ids":["https://openalex.org/I4403386702"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5068978370","display_name":"Arsham Borumand Saeid","orcid":"https://orcid.org/0000-0001-9495-6027"},"institutions":[{"id":"https://openalex.org/I115566878","display_name":"Shahid Bahonar University of Kerman","ror":"https://ror.org/04zn42r77","country_code":"IR","type":"education","lineage":["https://openalex.org/I115566878"]},{"id":"https://openalex.org/I85461943","display_name":"Saveetha University","ror":"https://ror.org/0034me914","country_code":"IN","type":"education","lineage":["https://openalex.org/I85461943"]}],"countries":["IN","IR"],"is_corresponding":false,"raw_author_name":"Arsham Borumand Saeid","raw_affiliation_strings":["Department of Pure Mathematics, Faculty of Mathematics and Computer, Shahid Bahonar University of Kerman, Kerman, Iran","Saveetha School of Engineering, Saveetha Institute of Medical and Technical Sciences (SIMATS), Chennai, Tamil Nadu, India"],"raw_orcid":"https://orcid.org/0000-0001-9495-6027","affiliations":[{"raw_affiliation_string":"Department of Pure Mathematics, Faculty of Mathematics and Computer, Shahid Bahonar University of Kerman, Kerman, Iran","institution_ids":["https://openalex.org/I115566878"]},{"raw_affiliation_string":"Saveetha School of Engineering, Saveetha Institute of Medical and Technical Sciences (SIMATS), Chennai, Tamil Nadu, India","institution_ids":["https://openalex.org/I85461943"]}]}],"institutions":[],"countries_distinct_count":3,"institutions_distinct_count":3,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":0.0,"has_fulltext":false,"cited_by_count":0,"citation_normalized_percentile":{"value":0.03679021,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":null,"biblio":{"volume":"21","issue":"03","first_page":"807","last_page":"821"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10820","display_name":"Fuzzy Logic and Control Systems","score":0.678600013256073,"subfield":{"id":"https://openalex.org/subfields/1702","display_name":"Artificial Intelligence"},"field":{"id":"https://openalex.org/fields/17","display_name":"Computer Science"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},"topics":[{"id":"https://openalex.org/T10820","display_name":"Fuzzy Logic and Control Systems","score":0.678600013256073,"subfield":{"id":"https://openalex.org/subfields/1702","display_name":"Artificial Intelligence"},"field":{"id":"https://openalex.org/fields/17","display_name":"Computer Science"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T14025","display_name":"Educational Technology and Assessment","score":0.5777999758720398,"subfield":{"id":"https://openalex.org/subfields/1710","display_name":"Information Systems"},"field":{"id":"https://openalex.org/fields/17","display_name":"Computer Science"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T10050","display_name":"Multi-Criteria Decision Making","score":0.5468000173568726,"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"}}],"keywords":[{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.5254560708999634},{"id":"https://openalex.org/keywords/fuzzy-logic","display_name":"Fuzzy logic","score":0.43630725145339966},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.3397711515426636},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.2832138240337372}],"concepts":[{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.5254560708999634},{"id":"https://openalex.org/C58166","wikidata":"https://www.wikidata.org/wiki/Q224821","display_name":"Fuzzy logic","level":2,"score":0.43630725145339966},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.3397711515426636},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.2832138240337372}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1142/s1793005725500395","is_oa":false,"landing_page_url":"https://doi.org/10.1142/s1793005725500395","pdf_url":null,"source":{"id":"https://openalex.org/S135331755","display_name":"New Mathematics and Natural Computation","issn_l":"1793-0057","issn":["1793-0057","1793-7027"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319815","host_organization_name":"World Scientific","host_organization_lineage":["https://openalex.org/P4310319815"],"host_organization_lineage_names":["World Scientific"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"New Mathematics and Natural Computation","raw_type":"journal-article"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":6,"referenced_works":["https://openalex.org/W2052232639","https://openalex.org/W2056444772","https://openalex.org/W2163848689","https://openalex.org/W2319118804","https://openalex.org/W2514622526","https://openalex.org/W4211007335"],"related_works":["https://openalex.org/W2748952813","https://openalex.org/W4391375266","https://openalex.org/W1979597421","https://openalex.org/W2007980826","https://openalex.org/W2061531152","https://openalex.org/W3002753104","https://openalex.org/W2077600819","https://openalex.org/W2142036596","https://openalex.org/W2072657027","https://openalex.org/W2600246793"],"abstract_inverted_index":{"Fuzzy":[0],"set":[1,65,82,90,134,150,166,212],"theory":[2,66,83,135,167],"plays":[3],"a":[4,22,38,85,123],"vital":[5],"role":[6],"in":[7,99,122,168],"solving":[8,56],"many":[9,57,77],"complicated":[10],"problems":[11],"dealing":[12],"with":[13,136],"uncertainty.":[14],"An":[15],"[Formula:":[16,69,138,153,170,190,196,215,235],"see":[17,70,139,154,171,191,197,216,227,229,231,236],"text]-ary":[18,71,140,155,172,192,198,217,237],"algebraic":[19,25,72,141,156,173],"system":[20],"as":[21],"generalization":[23],"of":[24,88,97,117,119,179,187,209,224],"structures":[26],"that":[27],"allow":[28],"for":[29,41,55,94],"operations":[30],"involving":[31],"more":[32],"than":[33],"two":[34],"elements.":[35],"They":[36],"provide":[37,184],"natural":[39],"framework":[40],"representing":[42],"and":[43,47,74,175,200,239],"manipulating":[44],"complex":[45],"relationships":[46],"interactions":[48],"among":[49],"multiple":[50,107],"elements,":[51],"which":[52,92],"is":[53,84],"essential":[54],"real-world":[58],"problems.":[59],"Many":[60],"authors":[61,127],"have":[62,75,106,128,162,201,220,240],"studied":[63,202,241],"fuzzy":[64,81,89,133,149,165,181,189,211],"over":[67,151,194,213,233],"an":[68,120,137,152,169,195,207,214,234],"systems":[73,174],"provided":[76],"fruitful":[78],"results.":[79],"Hesitant":[80],"further":[86],"extension":[87],"theory,":[91],"allows":[93],"the":[95,115,177,185,222],"representation":[96],"uncertainty":[98],"decision":[100,103],"making":[101],"where":[102],"makers":[104],"may":[105,111],"possible":[108],"choices":[109],"or":[110],"be":[112],"uncertain":[113],"about":[114],"degree":[116],"membership":[118],"element":[121],"given":[124],"set.":[125],"No":[126],"studied,":[129],"by":[130],"combining":[131],"hesitant":[132,148,164,180,188,210],"systems.":[142],"This":[143],"motivates":[144],"us":[145],"to":[146],"study":[147],"system.":[157],"In":[158],"this":[159],"paper,":[160],"we":[161,219],"applied":[163],"introduced":[176],"notions":[178],"subgroupoid.":[182],"We":[183],"characterization":[186],"subgroupoid":[193],"groupoids":[199,238],"their":[203,242],"related":[204],"properties.":[205,244],"As":[206],"application":[208],"groupoids,":[218],"developed":[221],"concept":[223],"normal":[225],"hesitant[Formula:":[226],"text][Formula:":[228],"text]fuzzy[Formula:":[230],"text]subgroupoids":[232],"various":[243]},"counts_by_year":[],"updated_date":"2026-05-21T06:26:12.895304","created_date":"2024-04-12T00:00:00"}
