{"id":"https://openalex.org/W2041675778","doi":"https://doi.org/10.1080/01969728008927629","title":"FUZZY SUBSETS OF TYPE II IN DECISIONS","display_name":"FUZZY SUBSETS OF TYPE II IN DECISIONS","publication_year":1980,"publication_date":"1980-01-01","ids":{"openalex":"https://openalex.org/W2041675778","doi":"https://doi.org/10.1080/01969728008927629","mag":"2041675778"},"language":"en","primary_location":{"id":"doi:10.1080/01969728008927629","is_oa":false,"landing_page_url":"https://doi.org/10.1080/01969728008927629","pdf_url":null,"source":{"id":"https://openalex.org/S4210233685","display_name":"Journal of Cybernetics","issn_l":"0022-0280","issn":["0022-0280","2331-3803"],"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/P4310320547","host_organization_name":"Taylor & Francis","host_organization_lineage":["https://openalex.org/P4310320547"],"host_organization_lineage_names":["Taylor & Francis"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Journal of Cybernetics","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/A5072431554","display_name":"Ronald R. Yager","orcid":"https://orcid.org/0000-0003-2938-1858"},"institutions":[{"id":"https://openalex.org/I173466955","display_name":"Iona College","ror":"https://ror.org/00m79dm66","country_code":"US","type":"education","lineage":["https://openalex.org/I173466955"]}],"countries":["US"],"is_corresponding":true,"raw_author_name":"RONALD R. YAGER","raw_affiliation_strings":["\n lona College, New Rochelle, New York","lona College , New Rochelle, New York"],"affiliations":[{"raw_affiliation_string":"\n lona College, New Rochelle, New York","institution_ids":["https://openalex.org/I173466955"]},{"raw_affiliation_string":"lona College , New Rochelle, New York","institution_ids":[]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":["https://openalex.org/A5072431554"],"corresponding_institution_ids":["https://openalex.org/I173466955"],"apc_list":null,"apc_paid":null,"fwci":2.0908,"has_fulltext":false,"cited_by_count":181,"citation_normalized_percentile":{"value":0.8660889,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":94,"max":100},"biblio":{"volume":"10","issue":"1-3","first_page":"137","last_page":"159"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10050","display_name":"Multi-Criteria Decision Making","score":0.9975000023841858,"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":0.9975000023841858,"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/T10820","display_name":"Fuzzy Logic and Control Systems","score":0.9902999997138977,"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/T12135","display_name":"Fuzzy Systems and Optimization","score":0.9812999963760376,"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"}}],"keywords":[{"id":"https://openalex.org/keywords/membership-function","display_name":"Membership function","score":0.5956584215164185},{"id":"https://openalex.org/keywords/fuzzy-logic","display_name":"Fuzzy logic","score":0.5835806727409363},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.566913902759552},{"id":"https://openalex.org/keywords/fuzzy-classification","display_name":"Fuzzy classification","score":0.5563103556632996},{"id":"https://openalex.org/keywords/fuzzy-set","display_name":"Fuzzy set","score":0.5401671528816223},{"id":"https://openalex.org/keywords/fuzzy-number","display_name":"Fuzzy number","score":0.533659040927887},{"id":"https://openalex.org/keywords/type","display_name":"Type (biology)","score":0.5278591513633728},{"id":"https://openalex.org/keywords/type-2-fuzzy-sets-and-systems","display_name":"Type-2 fuzzy sets and systems","score":0.5049694180488586},{"id":"https://openalex.org/keywords/set","display_name":"Set (abstract data type)","score":0.4939940571784973},{"id":"https://openalex.org/keywords/fuzzy-set-operations","display_name":"Fuzzy set operations","score":0.49304696917533875},{"id":"https://openalex.org/keywords/ideal","display_name":"Ideal (ethics)","score":0.43527644872665405},{"id":"https://openalex.org/keywords/fuzzy-mathematics","display_name":"Fuzzy mathematics","score":0.4350418150424957},{"id":"https://openalex.org/keywords/defuzzification","display_name":"Defuzzification","score":0.431596577167511},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.4217527508735657},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.3640722632408142},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.3244971036911011},{"id":"https://openalex.org/keywords/epistemology","display_name":"Epistemology","score":0.05214422941207886}],"concepts":[{"id":"https://openalex.org/C5263885","wikidata":"https://www.wikidata.org/wiki/Q1967302","display_name":"Membership function","level":4,"score":0.5956584215164185},{"id":"https://openalex.org/C58166","wikidata":"https://www.wikidata.org/wiki/Q224821","display_name":"Fuzzy logic","level":2,"score":0.5835806727409363},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.566913902759552},{"id":"https://openalex.org/C127385683","wikidata":"https://www.wikidata.org/wiki/Q1475696","display_name":"Fuzzy classification","level":4,"score":0.5563103556632996},{"id":"https://openalex.org/C42011625","wikidata":"https://www.wikidata.org/wiki/Q1055058","display_name":"Fuzzy set","level":3,"score":0.5401671528816223},{"id":"https://openalex.org/C1883856","wikidata":"https://www.wikidata.org/wiki/Q3407463","display_name":"Fuzzy number","level":4,"score":0.533659040927887},{"id":"https://openalex.org/C2777299769","wikidata":"https://www.wikidata.org/wiki/Q3707858","display_name":"Type (biology)","level":2,"score":0.5278591513633728},{"id":"https://openalex.org/C17350324","wikidata":"https://www.wikidata.org/wiki/Q7860605","display_name":"Type-2 fuzzy sets and systems","level":5,"score":0.5049694180488586},{"id":"https://openalex.org/C177264268","wikidata":"https://www.wikidata.org/wiki/Q1514741","display_name":"Set (abstract data type)","level":2,"score":0.4939940571784973},{"id":"https://openalex.org/C148671577","wikidata":"https://www.wikidata.org/wiki/Q5511133","display_name":"Fuzzy set operations","level":4,"score":0.49304696917533875},{"id":"https://openalex.org/C2776639384","wikidata":"https://www.wikidata.org/wiki/Q840396","display_name":"Ideal (ethics)","level":2,"score":0.43527644872665405},{"id":"https://openalex.org/C166586474","wikidata":"https://www.wikidata.org/wiki/Q5511129","display_name":"Fuzzy mathematics","level":5,"score":0.4350418150424957},{"id":"https://openalex.org/C170260401","wikidata":"https://www.wikidata.org/wiki/Q5251735","display_name":"Defuzzification","level":5,"score":0.431596577167511},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.4217527508735657},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.3640722632408142},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.3244971036911011},{"id":"https://openalex.org/C111472728","wikidata":"https://www.wikidata.org/wiki/Q9471","display_name":"Epistemology","level":1,"score":0.05214422941207886},{"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/C18903297","wikidata":"https://www.wikidata.org/wiki/Q7150","display_name":"Ecology","level":1,"score":0.0},{"id":"https://openalex.org/C86803240","wikidata":"https://www.wikidata.org/wiki/Q420","display_name":"Biology","level":0,"score":0.0},{"id":"https://openalex.org/C138885662","wikidata":"https://www.wikidata.org/wiki/Q5891","display_name":"Philosophy","level":0,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1080/01969728008927629","is_oa":false,"landing_page_url":"https://doi.org/10.1080/01969728008927629","pdf_url":null,"source":{"id":"https://openalex.org/S4210233685","display_name":"Journal of Cybernetics","issn_l":"0022-0280","issn":["0022-0280","2331-3803"],"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/P4310320547","host_organization_name":"Taylor & Francis","host_organization_lineage":["https://openalex.org/P4310320547"],"host_organization_lineage_names":["Taylor & Francis"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Journal of Cybernetics","raw_type":"journal-article"}],"best_oa_location":null,"sustainable_development_goals":[{"id":"https://metadata.un.org/sdg/16","score":0.8100000023841858,"display_name":"Peace, Justice and strong institutions"}],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":8,"referenced_works":["https://openalex.org/W1575611982","https://openalex.org/W1594482567","https://openalex.org/W1981449935","https://openalex.org/W2023975127","https://openalex.org/W2026829949","https://openalex.org/W2082550766","https://openalex.org/W2157041604","https://openalex.org/W2168165491"],"related_works":["https://openalex.org/W1487720066","https://openalex.org/W2781808531","https://openalex.org/W4361984403","https://openalex.org/W1975005191","https://openalex.org/W2674573885","https://openalex.org/W2253053392","https://openalex.org/W2145270521","https://openalex.org/W2791187250","https://openalex.org/W3186561448","https://openalex.org/W2025902904"],"abstract_inverted_index":{"Abstract":[0],"We":[1,21,34],"are":[2,41],"interested":[3],"in":[4,15],"the":[5],"construction":[6],"of":[7,17,25,32,44],"an":[8],"ideal":[9],"decision":[10,19],"function":[11],"from":[12],"its":[13],"approximation":[14],"terms":[16],"other":[18],"functions.":[20],"investigate":[22],"fuzzy":[23,37,42],"subsets":[24,38,43],"type":[26],"II,":[27],"those":[28],"with":[29],"linguistic":[30],"grades":[31],"membership.":[33],"also":[35],"discuss":[36],"whose":[39],"elements":[40],"another":[45],"set.":[46]},"counts_by_year":[{"year":2025,"cited_by_count":2},{"year":2022,"cited_by_count":4},{"year":2021,"cited_by_count":6},{"year":2020,"cited_by_count":4},{"year":2019,"cited_by_count":5},{"year":2018,"cited_by_count":6},{"year":2017,"cited_by_count":3},{"year":2016,"cited_by_count":7},{"year":2015,"cited_by_count":2},{"year":2014,"cited_by_count":16},{"year":2013,"cited_by_count":6},{"year":2012,"cited_by_count":15}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}