{"id":"https://openalex.org/W4412762992","doi":"https://doi.org/10.1177/18758967251361239","title":"Optimal Solutions for Constrained Bi-matrix Games with Fuzzy Rough Payoffs","display_name":"Optimal Solutions for Constrained Bi-matrix Games with Fuzzy Rough Payoffs","publication_year":2025,"publication_date":"2025-07-30","ids":{"openalex":"https://openalex.org/W4412762992","doi":"https://doi.org/10.1177/18758967251361239"},"language":"en","primary_location":{"id":"doi:10.1177/18758967251361239","is_oa":false,"landing_page_url":"https://doi.org/10.1177/18758967251361239","pdf_url":null,"source":{"id":"https://openalex.org/S179157397","display_name":"Journal of Intelligent & Fuzzy Systems","issn_l":"1064-1246","issn":["1064-1246","1875-8967"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310318577","host_organization_name":"IOS Press","host_organization_lineage":["https://openalex.org/P4310318577"],"host_organization_lineage_names":["IOS Press"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Journal of Intelligent &amp; Fuzzy Systems: Applications in Engineering and Technology","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/A5091760294","display_name":"M. G. Brikaa","orcid":"https://orcid.org/0000-0002-6788-6446"},"institutions":[{"id":"https://openalex.org/I114794399","display_name":"Suez Canal University","ror":"https://ror.org/02m82p074","country_code":"EG","type":"education","lineage":["https://openalex.org/I114794399"]}],"countries":["EG"],"is_corresponding":true,"raw_author_name":"Mohamed Gaber Brikaa","raw_affiliation_strings":["Suez Canal University","Department of Basic Science Faculty of Computers &amp; Informatics, Suez Canal University, Ismailia, Egypt"],"raw_orcid":"https://orcid.org/0000-0002-6788-6446","affiliations":[{"raw_affiliation_string":"Suez Canal University","institution_ids":["https://openalex.org/I114794399"]},{"raw_affiliation_string":"Department of Basic Science Faculty of Computers &amp; Informatics, Suez Canal University, Ismailia, Egypt","institution_ids":["https://openalex.org/I114794399"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":["https://openalex.org/A5091760294"],"corresponding_institution_ids":["https://openalex.org/I114794399"],"apc_list":null,"apc_paid":null,"fwci":1.3257,"has_fulltext":false,"cited_by_count":1,"citation_normalized_percentile":{"value":0.84094328,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":96,"max":98},"biblio":{"volume":"50","issue":"4","first_page":"1048","last_page":"1072"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11063","display_name":"Rough Sets and Fuzzy Logic","score":0.9997000098228455,"subfield":{"id":"https://openalex.org/subfields/1703","display_name":"Computational Theory and Mathematics"},"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/T11063","display_name":"Rough Sets and Fuzzy Logic","score":0.9997000098228455,"subfield":{"id":"https://openalex.org/subfields/1703","display_name":"Computational Theory and Mathematics"},"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":0.9932000041007996,"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":0.9819999933242798,"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/fuzzy-logic","display_name":"Fuzzy logic","score":0.5912104845046997},{"id":"https://openalex.org/keywords/matrix","display_name":"Matrix (chemical analysis)","score":0.5245599746704102},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.5001668930053711},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.46560603380203247},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.3933338224887848},{"id":"https://openalex.org/keywords/mathematical-economics","display_name":"Mathematical economics","score":0.3524799346923828},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.1845126748085022},{"id":"https://openalex.org/keywords/materials-science","display_name":"Materials science","score":0.0627337098121643}],"concepts":[{"id":"https://openalex.org/C58166","wikidata":"https://www.wikidata.org/wiki/Q224821","display_name":"Fuzzy logic","level":2,"score":0.5912104845046997},{"id":"https://openalex.org/C106487976","wikidata":"https://www.wikidata.org/wiki/Q685816","display_name":"Matrix (chemical analysis)","level":2,"score":0.5245599746704102},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.5001668930053711},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.46560603380203247},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.3933338224887848},{"id":"https://openalex.org/C144237770","wikidata":"https://www.wikidata.org/wiki/Q747534","display_name":"Mathematical economics","level":1,"score":0.3524799346923828},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.1845126748085022},{"id":"https://openalex.org/C192562407","wikidata":"https://www.wikidata.org/wiki/Q228736","display_name":"Materials science","level":0,"score":0.0627337098121643},{"id":"https://openalex.org/C159985019","wikidata":"https://www.wikidata.org/wiki/Q181790","display_name":"Composite material","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1177/18758967251361239","is_oa":false,"landing_page_url":"https://doi.org/10.1177/18758967251361239","pdf_url":null,"source":{"id":"https://openalex.org/S179157397","display_name":"Journal of Intelligent & Fuzzy Systems","issn_l":"1064-1246","issn":["1064-1246","1875-8967"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310318577","host_organization_name":"IOS Press","host_organization_lineage":["https://openalex.org/P4310318577"],"host_organization_lineage_names":["IOS Press"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Journal of Intelligent &amp; Fuzzy Systems: Applications in Engineering and Technology","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":75,"referenced_works":["https://openalex.org/W2006823333","https://openalex.org/W2008533299","https://openalex.org/W2014827534","https://openalex.org/W2017040600","https://openalex.org/W2027654459","https://openalex.org/W2049324919","https://openalex.org/W2123027144","https://openalex.org/W2769529055","https://openalex.org/W2790175848","https://openalex.org/W2806030165","https://openalex.org/W2887509152","https://openalex.org/W2903054786","https://openalex.org/W2942886000","https://openalex.org/W2946054312","https://openalex.org/W2946585258","https://openalex.org/W2963804264","https://openalex.org/W2965716634","https://openalex.org/W2975451573","https://openalex.org/W3000091702","https://openalex.org/W3008890208","https://openalex.org/W3045367178","https://openalex.org/W3087474537","https://openalex.org/W3088680119","https://openalex.org/W3089535256","https://openalex.org/W3100989693","https://openalex.org/W3124559194","https://openalex.org/W3143625019","https://openalex.org/W3160167148","https://openalex.org/W3161545072","https://openalex.org/W3167544239","https://openalex.org/W3175477979","https://openalex.org/W3177117719","https://openalex.org/W3177158192","https://openalex.org/W3183178670","https://openalex.org/W3187682683","https://openalex.org/W3190983064","https://openalex.org/W3208201648","https://openalex.org/W3211063104","https://openalex.org/W3211763103","https://openalex.org/W3214736307","https://openalex.org/W4200387612","https://openalex.org/W4205294078","https://openalex.org/W4211007335","https://openalex.org/W4212775478","https://openalex.org/W4220683904","https://openalex.org/W4220946608","https://openalex.org/W4220994287","https://openalex.org/W4223514112","https://openalex.org/W4226322673","https://openalex.org/W4255833381","https://openalex.org/W4281294803","https://openalex.org/W4281562442","https://openalex.org/W4283817886","https://openalex.org/W4310098659","https://openalex.org/W4312181815","https://openalex.org/W4318996901","https://openalex.org/W4328124414","https://openalex.org/W4365148525","https://openalex.org/W4379524999","https://openalex.org/W4384341469","https://openalex.org/W4384662703","https://openalex.org/W4386533806","https://openalex.org/W4387568337","https://openalex.org/W4387640079","https://openalex.org/W4390063309","https://openalex.org/W4390447888","https://openalex.org/W4391053624","https://openalex.org/W4391617407","https://openalex.org/W4392096359","https://openalex.org/W4392936980","https://openalex.org/W4395452929","https://openalex.org/W4396707209","https://openalex.org/W4406492372","https://openalex.org/W4407757040","https://openalex.org/W6926224262"],"related_works":["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/W2962838298","https://openalex.org/W2600246793"],"abstract_inverted_index":{"This":[0],"study":[1,89],"proposes":[2],"a":[3,87],"novel":[4],"methodology":[5,83],"for":[6],"solving":[7],"constrained":[8],"bi-matrix":[9],"games":[10],"with":[11,30],"payoffs":[12],"represented":[13],"by":[14],"fuzzy":[15,26,40],"rough":[16,27,41],"numbers,":[17],"addressing":[18],"uncertainties":[19],"common":[20],"in":[21],"real-world":[22],"decision-making.":[23],"By":[24],"integrating":[25],"set":[28],"theory":[29],"\u03b1-cut":[31],"techniques,":[32],"the":[33,36,52],"method":[34],"establishes":[35],"existence":[37],"of":[38],"an":[39],"equilibrium":[42,54,75],"value.":[43],"Five":[44],"linear":[45],"programming":[46],"models":[47],"are":[48,77],"developed":[49],"to":[50],"compute":[51],"mean":[53],"and":[55,60,66,97],"its":[56,95],"lower-lower,":[57],"lower-upper,":[58],"upper-lower,":[59],"upper-upper":[61],"bounds,":[62],"based":[63],"on":[64,90],"0-cut":[65],"1-cut":[67],"representations.":[68],"For":[69],"any":[70],"confidence":[71],"level":[72],"\u03b1,":[73],"corresponding":[74],"bounds":[76],"determined":[78],"through":[79,86],"\u03b1-cut-based":[80],"optimization.":[81],"The":[82],"is":[84],"validated":[85],"case":[88],"corporate":[91],"environmental":[92],"behavior,":[93],"demonstrating":[94],"effectiveness":[96],"practical":[98],"relevance.":[99]},"counts_by_year":[{"year":2026,"cited_by_count":1}],"updated_date":"2026-04-02T13:48:15.688549","created_date":"2025-10-10T00:00:00"}
