{"id":"https://openalex.org/W1990186692","doi":"https://doi.org/10.1007/s00500-008-0310-3","title":"On characterization of credibilistic equilibria of fuzzy-payoff two-player zero-sum game","display_name":"On characterization of credibilistic equilibria of fuzzy-payoff two-player zero-sum game","publication_year":2008,"publication_date":"2008-04-28","ids":{"openalex":"https://openalex.org/W1990186692","doi":"https://doi.org/10.1007/s00500-008-0310-3","mag":"1990186692"},"language":"en","primary_location":{"id":"doi:10.1007/s00500-008-0310-3","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s00500-008-0310-3","pdf_url":null,"source":{"id":"https://openalex.org/S65753830","display_name":"Soft Computing","issn_l":"1432-7643","issn":["1432-7643","1433-7479"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319900","host_organization_name":"Springer Science+Business Media","host_organization_lineage":["https://openalex.org/P4310319900","https://openalex.org/P4310319965"],"host_organization_lineage_names":["Springer Science+Business Media","Springer Nature"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Soft Computing","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/A5008929688","display_name":"Jinwu Gao","orcid":"https://orcid.org/0000-0003-4806-927X"},"institutions":[{"id":"https://openalex.org/I78988378","display_name":"Renmin University of China","ror":"https://ror.org/041pakw92","country_code":"CN","type":"education","lineage":["https://openalex.org/I78988378"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Jinwu Gao","raw_affiliation_strings":["Uncertain Systems Lab, School of Information, Renmin University of China, Beijing, 100872, China","Renmin University of China, Uncertain Systems Lab, School of Information, 100872, Beijing, China#TAB#"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Uncertain Systems Lab, School of Information, Renmin University of China, Beijing, 100872, China","institution_ids":["https://openalex.org/I78988378"]},{"raw_affiliation_string":"Renmin University of China, Uncertain Systems Lab, School of Information, 100872, Beijing, China#TAB#","institution_ids":["https://openalex.org/I78988378"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5072409499","display_name":"Zhiqiang Liu","orcid":"https://orcid.org/0000-0003-2872-0125"},"institutions":[{"id":"https://openalex.org/I168719708","display_name":"City University of Hong Kong","ror":"https://ror.org/03q8dnn23","country_code":"HK","type":"education","lineage":["https://openalex.org/I168719708"]}],"countries":["HK"],"is_corresponding":false,"raw_author_name":"Zhi-Qiang Liu","raw_affiliation_strings":["School of Creative Media, City University of Hong Kong, Hong Kong, China","City University of Hong Kong, School of Creative Media, 100872, Hong Kong, China#TAB#"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"School of Creative Media, City University of Hong Kong, Hong Kong, China","institution_ids":["https://openalex.org/I168719708"]},{"raw_affiliation_string":"City University of Hong Kong, School of Creative Media, 100872, Hong Kong, China#TAB#","institution_ids":["https://openalex.org/I168719708"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5111588986","display_name":"Puchen Shen","orcid":null},"institutions":[{"id":"https://openalex.org/I78988378","display_name":"Renmin University of China","ror":"https://ror.org/041pakw92","country_code":"CN","type":"education","lineage":["https://openalex.org/I78988378"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Puchen Shen","raw_affiliation_strings":["Uncertain Systems Lab, School of Information, Renmin University of China, Beijing, 100872, China","Renmin University of China, Uncertain Systems Lab, School of Information, 100872, Beijing, China#TAB#"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Uncertain Systems Lab, School of Information, Renmin University of China, Beijing, 100872, China","institution_ids":["https://openalex.org/I78988378"]},{"raw_affiliation_string":"Renmin University of China, Uncertain Systems Lab, School of Information, 100872, Beijing, China#TAB#","institution_ids":["https://openalex.org/I78988378"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":3,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":{"value":2390,"currency":"EUR","value_usd":2990},"apc_paid":null,"fwci":0.6192,"has_fulltext":false,"cited_by_count":32,"citation_normalized_percentile":{"value":0.70678823,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":90,"max":98},"biblio":{"volume":"13","issue":"2","first_page":"127","last_page":"132"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T12135","display_name":"Fuzzy Systems and Optimization","score":0.9998000264167786,"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"}},"topics":[{"id":"https://openalex.org/T12135","display_name":"Fuzzy Systems and Optimization","score":0.9998000264167786,"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/T10050","display_name":"Multi-Criteria Decision Making","score":0.9993000030517578,"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/T11303","display_name":"Bayesian Modeling and Causal Inference","score":0.9894000291824341,"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"}}],"keywords":[{"id":"https://openalex.org/keywords/nash-equilibrium","display_name":"Nash equilibrium","score":0.6445961594581604},{"id":"https://openalex.org/keywords/credibility","display_name":"Credibility","score":0.5998253226280212},{"id":"https://openalex.org/keywords/characterization","display_name":"Characterization (materials science)","score":0.5820533037185669},{"id":"https://openalex.org/keywords/fuzzy-logic","display_name":"Fuzzy logic","score":0.5752832293510437},{"id":"https://openalex.org/keywords/stochastic-game","display_name":"Stochastic game","score":0.5748096704483032},{"id":"https://openalex.org/keywords/credibility-theory","display_name":"Credibility theory","score":0.5595354437828064},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.5421465635299683},{"id":"https://openalex.org/keywords/mathematical-economics","display_name":"Mathematical economics","score":0.5358169674873352},{"id":"https://openalex.org/keywords/zero-sum-game","display_name":"Zero-sum game","score":0.47778114676475525},{"id":"https://openalex.org/keywords/zero","display_name":"Zero (linguistics)","score":0.4567590355873108},{"id":"https://openalex.org/keywords/game-theory","display_name":"Game theory","score":0.4278348684310913},{"id":"https://openalex.org/keywords/complete-information","display_name":"Complete information","score":0.4130541980266571},{"id":"https://openalex.org/keywords/relation","display_name":"Relation (database)","score":0.41157710552215576},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.40635669231414795},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.16844508051872253},{"id":"https://openalex.org/keywords/data-mining","display_name":"Data mining","score":0.10338091850280762}],"concepts":[{"id":"https://openalex.org/C46814582","wikidata":"https://www.wikidata.org/wiki/Q23389","display_name":"Nash equilibrium","level":2,"score":0.6445961594581604},{"id":"https://openalex.org/C2780224610","wikidata":"https://www.wikidata.org/wiki/Q1530061","display_name":"Credibility","level":2,"score":0.5998253226280212},{"id":"https://openalex.org/C2780841128","wikidata":"https://www.wikidata.org/wiki/Q5073781","display_name":"Characterization (materials science)","level":2,"score":0.5820533037185669},{"id":"https://openalex.org/C58166","wikidata":"https://www.wikidata.org/wiki/Q224821","display_name":"Fuzzy logic","level":2,"score":0.5752832293510437},{"id":"https://openalex.org/C22171661","wikidata":"https://www.wikidata.org/wiki/Q1074380","display_name":"Stochastic game","level":2,"score":0.5748096704483032},{"id":"https://openalex.org/C44211194","wikidata":"https://www.wikidata.org/wiki/Q3526803","display_name":"Credibility theory","level":3,"score":0.5595354437828064},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.5421465635299683},{"id":"https://openalex.org/C144237770","wikidata":"https://www.wikidata.org/wiki/Q747534","display_name":"Mathematical economics","level":1,"score":0.5358169674873352},{"id":"https://openalex.org/C136356330","wikidata":"https://www.wikidata.org/wiki/Q156612","display_name":"Zero-sum game","level":3,"score":0.47778114676475525},{"id":"https://openalex.org/C2780813799","wikidata":"https://www.wikidata.org/wiki/Q3274237","display_name":"Zero (linguistics)","level":2,"score":0.4567590355873108},{"id":"https://openalex.org/C177142836","wikidata":"https://www.wikidata.org/wiki/Q44455","display_name":"Game theory","level":2,"score":0.4278348684310913},{"id":"https://openalex.org/C113336015","wikidata":"https://www.wikidata.org/wiki/Q574010","display_name":"Complete information","level":2,"score":0.4130541980266571},{"id":"https://openalex.org/C25343380","wikidata":"https://www.wikidata.org/wiki/Q277521","display_name":"Relation (database)","level":2,"score":0.41157710552215576},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.40635669231414795},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.16844508051872253},{"id":"https://openalex.org/C124101348","wikidata":"https://www.wikidata.org/wiki/Q172491","display_name":"Data mining","level":1,"score":0.10338091850280762},{"id":"https://openalex.org/C199539241","wikidata":"https://www.wikidata.org/wiki/Q7748","display_name":"Law","level":1,"score":0.0},{"id":"https://openalex.org/C41895202","wikidata":"https://www.wikidata.org/wiki/Q8162","display_name":"Linguistics","level":1,"score":0.0},{"id":"https://openalex.org/C171250308","wikidata":"https://www.wikidata.org/wiki/Q11468","display_name":"Nanotechnology","level":1,"score":0.0},{"id":"https://openalex.org/C17744445","wikidata":"https://www.wikidata.org/wiki/Q36442","display_name":"Political science","level":0,"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/C138885662","wikidata":"https://www.wikidata.org/wiki/Q5891","display_name":"Philosophy","level":0,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1007/s00500-008-0310-3","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s00500-008-0310-3","pdf_url":null,"source":{"id":"https://openalex.org/S65753830","display_name":"Soft Computing","issn_l":"1432-7643","issn":["1432-7643","1433-7479"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319900","host_organization_name":"Springer Science+Business Media","host_organization_lineage":["https://openalex.org/P4310319900","https://openalex.org/P4310319965"],"host_organization_lineage_names":["Springer Science+Business Media","Springer Nature"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Soft Computing","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":38,"referenced_works":["https://openalex.org/W148430901","https://openalex.org/W632146002","https://openalex.org/W1562353621","https://openalex.org/W1828008172","https://openalex.org/W1966131816","https://openalex.org/W1970102912","https://openalex.org/W1979163195","https://openalex.org/W1987811848","https://openalex.org/W1996599288","https://openalex.org/W2010742660","https://openalex.org/W2012008892","https://openalex.org/W2033320285","https://openalex.org/W2044155094","https://openalex.org/W2046628246","https://openalex.org/W2049230000","https://openalex.org/W2054020565","https://openalex.org/W2056974582","https://openalex.org/W2060362965","https://openalex.org/W2067050450","https://openalex.org/W2067708377","https://openalex.org/W2075567596","https://openalex.org/W2090122788","https://openalex.org/W2111022135","https://openalex.org/W2125306618","https://openalex.org/W2128530362","https://openalex.org/W2138068641","https://openalex.org/W2139774323","https://openalex.org/W2323848554","https://openalex.org/W2330024298","https://openalex.org/W2331754212","https://openalex.org/W2579534121","https://openalex.org/W2912189486","https://openalex.org/W2994383963","https://openalex.org/W3143971390","https://openalex.org/W4234761190","https://openalex.org/W4250744658","https://openalex.org/W4254329280","https://openalex.org/W4285719527"],"related_works":["https://openalex.org/W2215997563","https://openalex.org/W2090036432","https://openalex.org/W3035072031","https://openalex.org/W3011680666","https://openalex.org/W2040503200","https://openalex.org/W3136378956","https://openalex.org/W2613210042","https://openalex.org/W2029469580","https://openalex.org/W2921570851","https://openalex.org/W1990178198"],"abstract_inverted_index":null,"counts_by_year":[{"year":2025,"cited_by_count":1},{"year":2024,"cited_by_count":2},{"year":2023,"cited_by_count":3},{"year":2022,"cited_by_count":1},{"year":2020,"cited_by_count":3},{"year":2019,"cited_by_count":1},{"year":2018,"cited_by_count":1},{"year":2017,"cited_by_count":4},{"year":2016,"cited_by_count":2},{"year":2015,"cited_by_count":2},{"year":2014,"cited_by_count":1},{"year":2013,"cited_by_count":4},{"year":2012,"cited_by_count":5}],"updated_date":"2026-06-11T09:08:48.828518","created_date":"2025-10-10T00:00:00"}