{"id":"https://openalex.org/W2276034082","doi":"https://doi.org/10.3233/ifs-151640","title":"Modified difference-index based ranking bilinear programming approach to solving bimatrix games with payoffs of trapezoidal intuitionistic fuzzy numbers","display_name":"Modified difference-index based ranking bilinear programming approach to solving bimatrix games with payoffs of trapezoidal intuitionistic fuzzy numbers","publication_year":2015,"publication_date":"2015-10-23","ids":{"openalex":"https://openalex.org/W2276034082","doi":"https://doi.org/10.3233/ifs-151640","mag":"2276034082"},"language":"en","primary_location":{"id":"doi:10.3233/ifs-151640","is_oa":false,"landing_page_url":"https://doi.org/10.3233/ifs-151640","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","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/A5052744028","display_name":"Tina Verma","orcid":"https://orcid.org/0000-0001-8501-3406"},"institutions":[{"id":"https://openalex.org/I162030827","display_name":"Thapar Institute of Engineering & Technology","ror":"https://ror.org/00wdq3744","country_code":"IN","type":"education","lineage":["https://openalex.org/I162030827"]}],"countries":["IN"],"is_corresponding":true,"raw_author_name":"Tina Verma","raw_affiliation_strings":["School of Mathematics and Computer Applications, Thapar University, Patiala, Punjab, India"],"affiliations":[{"raw_affiliation_string":"School of Mathematics and Computer Applications, Thapar University, Patiala, Punjab, India","institution_ids":["https://openalex.org/I162030827"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5100750766","display_name":"Amit Kumar","orcid":"https://orcid.org/0000-0003-0275-8934"},"institutions":[{"id":"https://openalex.org/I162030827","display_name":"Thapar Institute of Engineering & Technology","ror":"https://ror.org/00wdq3744","country_code":"IN","type":"education","lineage":["https://openalex.org/I162030827"]}],"countries":["IN"],"is_corresponding":false,"raw_author_name":"Amit Kumar","raw_affiliation_strings":["School of Mathematics and Computer Applications, Thapar University, Patiala, Punjab, India"],"affiliations":[{"raw_affiliation_string":"School of Mathematics and Computer Applications, Thapar University, Patiala, Punjab, India","institution_ids":["https://openalex.org/I162030827"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5102180137","display_name":"SS Appadoo","orcid":null},"institutions":[{"id":"https://openalex.org/I46247651","display_name":"University of Manitoba","ror":"https://ror.org/02gfys938","country_code":"CA","type":"education","lineage":["https://openalex.org/I46247651"]}],"countries":["CA"],"is_corresponding":false,"raw_author_name":"SS Appadoo","raw_affiliation_strings":["Department of Supply and Chain Management, University of Manitoba, Canada","Fax: +91 175 2393831, 2393005"],"affiliations":[{"raw_affiliation_string":"Department of Supply and Chain Management, University of Manitoba, Canada","institution_ids":["https://openalex.org/I46247651"]},{"raw_affiliation_string":"Fax: +91 175 2393831, 2393005","institution_ids":[]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":3,"corresponding_author_ids":["https://openalex.org/A5052744028"],"corresponding_institution_ids":["https://openalex.org/I162030827"],"apc_list":null,"apc_paid":null,"fwci":1.2018,"has_fulltext":false,"cited_by_count":4,"citation_normalized_percentile":{"value":0.83271568,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":94},"biblio":{"volume":"29","issue":"4","first_page":"1607","last_page":"1618"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"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"}},"topics":[{"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/T12709","display_name":"Optimization and Mathematical Programming","score":0.9962999820709229,"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"}},{"id":"https://openalex.org/T12135","display_name":"Fuzzy Systems and Optimization","score":0.9951000213623047,"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/ranking","display_name":"Ranking (information retrieval)","score":0.7010419368743896},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.634986400604248},{"id":"https://openalex.org/keywords/bilinear-interpolation","display_name":"Bilinear interpolation","score":0.6020933389663696},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.4751736521720886},{"id":"https://openalex.org/keywords/fuzzy-logic","display_name":"Fuzzy logic","score":0.4345419108867645},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.348165363073349},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.28536903858184814},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.10285496711730957},{"id":"https://openalex.org/keywords/statistics","display_name":"Statistics","score":0.09632748365402222}],"concepts":[{"id":"https://openalex.org/C189430467","wikidata":"https://www.wikidata.org/wiki/Q7293293","display_name":"Ranking (information retrieval)","level":2,"score":0.7010419368743896},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.634986400604248},{"id":"https://openalex.org/C205203396","wikidata":"https://www.wikidata.org/wiki/Q612143","display_name":"Bilinear interpolation","level":2,"score":0.6020933389663696},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.4751736521720886},{"id":"https://openalex.org/C58166","wikidata":"https://www.wikidata.org/wiki/Q224821","display_name":"Fuzzy logic","level":2,"score":0.4345419108867645},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.348165363073349},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.28536903858184814},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.10285496711730957},{"id":"https://openalex.org/C105795698","wikidata":"https://www.wikidata.org/wiki/Q12483","display_name":"Statistics","level":1,"score":0.09632748365402222}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.3233/ifs-151640","is_oa":false,"landing_page_url":"https://doi.org/10.3233/ifs-151640","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","raw_type":"journal-article"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[{"id":"https://openalex.org/F4320320719","display_name":"Department of Science and Technology, Ministry of Science and Technology, India","ror":"https://ror.org/0101xrq71"}],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":27,"referenced_works":["https://openalex.org/W1536339261","https://openalex.org/W1595526150","https://openalex.org/W1603051904","https://openalex.org/W1888223590","https://openalex.org/W1980564456","https://openalex.org/W1983294580","https://openalex.org/W1984810795","https://openalex.org/W2039355449","https://openalex.org/W2039740526","https://openalex.org/W2048970192","https://openalex.org/W2049324919","https://openalex.org/W2050878123","https://openalex.org/W2060362965","https://openalex.org/W2063918273","https://openalex.org/W2066086825","https://openalex.org/W2068898929","https://openalex.org/W2086008662","https://openalex.org/W2092811706","https://openalex.org/W2107527466","https://openalex.org/W2123027144","https://openalex.org/W2144846366","https://openalex.org/W2153313025","https://openalex.org/W2314805057","https://openalex.org/W2516137114","https://openalex.org/W2912565176","https://openalex.org/W4211007335","https://openalex.org/W4298258403"],"related_works":["https://openalex.org/W2165589608","https://openalex.org/W3093557575","https://openalex.org/W3182767856","https://openalex.org/W2354231916","https://openalex.org/W2162140574","https://openalex.org/W2354073393","https://openalex.org/W2361009070","https://openalex.org/W2378988399","https://openalex.org/W1983356840","https://openalex.org/W2121457398"],"abstract_inverted_index":{"Abstract":[0],"Li":[1,5,73,91,115],"and":[2,6,58,74,92,116],"Yang":[3,75,117],"[D.F.":[4],"J.":[7],"Yang,":[8],"A":[9],"difference-index":[10],"based":[11],"ranking":[12],"bilinear":[13],"programming":[14],"approach":[15],"to":[16],"solving":[17,45],"bimatrix":[18,47],"games":[19,48],"with":[20],"payoffs":[21,51],"of":[22,28,90,109],"trapezoidal":[23],"intuitionistic":[24,55],"fuzzy":[25,56],"numbers,":[26],"Journal":[27],"Applied":[29],"Mathematics":[30],"2013":[31],"(2013),":[32],"1\u201310]":[33],"pointed":[34,70],"out":[35,71],"that":[36,72],"there":[37],"is":[38,69,102,122],"no":[39],"method":[40,61,97],"in":[41,49,82],"the":[42,63,88,105,110,125],"literature":[43],"for":[44,62],"such":[46],"which":[50],"are":[52],"represented":[53],"by":[54,114,118,124],"numbers":[57],"proposed":[59,84,120,126],"a":[60,95],"same.":[64],"In":[65],"this":[66],"paper,":[67],"it":[68],"have":[76],"considered":[77],"some":[78],"mathematical":[79],"incorrect":[80],"assumptions":[81],"their":[83,119],"method.":[85,128],"For":[86],"resolving":[87],"shortcomings":[89],"Yang\u2019s":[93],"method,":[94,121],"new":[96],"(named":[98],"as":[99],"Mehar":[100,127],"method)":[101],"proposed.":[103],"Also,":[104],"exact":[106],"optimal":[107],"solution":[108],"numerical":[111],"problem,":[112],"solved":[113],"obtained":[123]},"counts_by_year":[{"year":2022,"cited_by_count":1},{"year":2018,"cited_by_count":1},{"year":2017,"cited_by_count":1},{"year":2016,"cited_by_count":1}],"updated_date":"2026-02-11T14:41:00.668223","created_date":"2025-10-10T00:00:00"}
