{"id":"https://openalex.org/W1485275979","doi":"https://doi.org/10.3233/ifs-131055","title":"The Shapley function for n-person fuzzy cooperative games with combined weighted form","display_name":"The Shapley function for n-person fuzzy cooperative games with combined weighted form","publication_year":2014,"publication_date":"2014-01-01","ids":{"openalex":"https://openalex.org/W1485275979","doi":"https://doi.org/10.3233/ifs-131055","mag":"1485275979"},"language":"en","primary_location":{"id":"doi:10.3233/ifs-131055","is_oa":false,"landing_page_url":"https://doi.org/10.3233/ifs-131055","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/A5029848569","display_name":"Jian Lin","orcid":"https://orcid.org/0000-0003-4959-2329"},"institutions":[{"id":"https://openalex.org/I125839683","display_name":"Beijing Institute of Technology","ror":"https://ror.org/01skt4w74","country_code":"CN","type":"education","lineage":["https://openalex.org/I125839683","https://openalex.org/I890469752"]},{"id":"https://openalex.org/I61057504","display_name":"Fujian Agriculture and Forestry University","ror":"https://ror.org/04kx2sy84","country_code":"CN","type":"education","lineage":["https://openalex.org/I61057504"]}],"countries":["CN"],"is_corresponding":true,"raw_author_name":"Jian Lin","raw_affiliation_strings":["College of Computer and Information, Fujian Agriculture and Forestry University, Fuzhou, China","School of Management and Economics, Beijing Institute of Technology, Beijing, China"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"College of Computer and Information, Fujian Agriculture and Forestry University, Fuzhou, China","institution_ids":["https://openalex.org/I61057504"]},{"raw_affiliation_string":"School of Management and Economics, Beijing Institute of Technology, Beijing, China","institution_ids":["https://openalex.org/I125839683"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5100381911","display_name":"Qiang Zhang","orcid":"https://orcid.org/0000-0002-3929-1541"},"institutions":[{"id":"https://openalex.org/I125839683","display_name":"Beijing Institute of Technology","ror":"https://ror.org/01skt4w74","country_code":"CN","type":"education","lineage":["https://openalex.org/I125839683","https://openalex.org/I890469752"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Qiang Zhang","raw_affiliation_strings":["School of Management and Economics, Beijing Institute of Technology, Beijing, China"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"School of Management and Economics, Beijing Institute of Technology, Beijing, China","institution_ids":["https://openalex.org/I125839683"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5029848569"],"corresponding_institution_ids":["https://openalex.org/I125839683","https://openalex.org/I61057504"],"apc_list":null,"apc_paid":null,"fwci":0.4112,"has_fulltext":false,"cited_by_count":3,"citation_normalized_percentile":{"value":0.66462293,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":94},"biblio":{"volume":"27","issue":"2","first_page":"953","last_page":"964"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10050","display_name":"Multi-Criteria Decision Making","score":0.9994000196456909,"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":0.9994000196456909,"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/T10991","display_name":"Game Theory and Voting Systems","score":0.9965999722480774,"subfield":{"id":"https://openalex.org/subfields/2002","display_name":"Economics and Econometrics"},"field":{"id":"https://openalex.org/fields/20","display_name":"Economics, Econometrics and Finance"},"domain":{"id":"https://openalex.org/domains/2","display_name":"Social Sciences"}},{"id":"https://openalex.org/T10545","display_name":"Optimization and Variational Analysis","score":0.9871000051498413,"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"}}],"keywords":[{"id":"https://openalex.org/keywords/shapley-value","display_name":"Shapley value","score":0.552621066570282},{"id":"https://openalex.org/keywords/fuzzy-logic","display_name":"Fuzzy logic","score":0.46372148394584656},{"id":"https://openalex.org/keywords/mathematical-economics","display_name":"Mathematical economics","score":0.43163543939590454},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.42435842752456665},{"id":"https://openalex.org/keywords/function","display_name":"Function (biology)","score":0.4125511944293976},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.41096729040145874},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.24014148116111755},{"id":"https://openalex.org/keywords/game-theory","display_name":"Game theory","score":0.21240746974945068},{"id":"https://openalex.org/keywords/genetics","display_name":"Genetics","score":0.05099007487297058},{"id":"https://openalex.org/keywords/biology","display_name":"Biology","score":0.04722145199775696}],"concepts":[{"id":"https://openalex.org/C199022921","wikidata":"https://www.wikidata.org/wiki/Q240046","display_name":"Shapley value","level":3,"score":0.552621066570282},{"id":"https://openalex.org/C58166","wikidata":"https://www.wikidata.org/wiki/Q224821","display_name":"Fuzzy logic","level":2,"score":0.46372148394584656},{"id":"https://openalex.org/C144237770","wikidata":"https://www.wikidata.org/wiki/Q747534","display_name":"Mathematical economics","level":1,"score":0.43163543939590454},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.42435842752456665},{"id":"https://openalex.org/C14036430","wikidata":"https://www.wikidata.org/wiki/Q3736076","display_name":"Function (biology)","level":2,"score":0.4125511944293976},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.41096729040145874},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.24014148116111755},{"id":"https://openalex.org/C177142836","wikidata":"https://www.wikidata.org/wiki/Q44455","display_name":"Game theory","level":2,"score":0.21240746974945068},{"id":"https://openalex.org/C54355233","wikidata":"https://www.wikidata.org/wiki/Q7162","display_name":"Genetics","level":1,"score":0.05099007487297058},{"id":"https://openalex.org/C86803240","wikidata":"https://www.wikidata.org/wiki/Q420","display_name":"Biology","level":0,"score":0.04722145199775696}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.3233/ifs-131055","is_oa":false,"landing_page_url":"https://doi.org/10.3233/ifs-131055","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":[{"id":"https://metadata.un.org/sdg/17","display_name":"Partnerships for the goals","score":0.550000011920929}],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":17,"referenced_works":["https://openalex.org/W1525403950","https://openalex.org/W1995088126","https://openalex.org/W1996603728","https://openalex.org/W1999899017","https://openalex.org/W2006469274","https://openalex.org/W2008630501","https://openalex.org/W2013748783","https://openalex.org/W2034186965","https://openalex.org/W2035696476","https://openalex.org/W2041613035","https://openalex.org/W2060907774","https://openalex.org/W2072141744","https://openalex.org/W2080671496","https://openalex.org/W2089048646","https://openalex.org/W2122952453","https://openalex.org/W2162175679","https://openalex.org/W2162446004"],"related_works":["https://openalex.org/W2803105815","https://openalex.org/W1584952351","https://openalex.org/W1964562120","https://openalex.org/W2042580993","https://openalex.org/W2952811515","https://openalex.org/W16514661","https://openalex.org/W2382133166","https://openalex.org/W2184012580","https://openalex.org/W4364356825","https://openalex.org/W2031588308"],"abstract_inverted_index":{"In":[0],"this":[1],"study,":[2],"a":[3,29,95],"new":[4],"characteristic":[5],"function":[6,31,45,77],"with":[7,32,78],"combined":[8,33,79],"weighted":[9,34,50,80],"form":[10,35,81],"is":[11,36,91,98],"developed":[12],"to":[13,83,100],"fuzzy":[14,39,84,88],"cooperative":[15,40,89],"games":[16,90],"based":[17],"on":[18],"the":[19,49,54,59,75,87,102,105],"BUM":[20],"functions.":[21],"By":[22],"establishing":[23],"efficiency,":[24],"symmetry":[25],"and":[26],"additivity":[27],"axioms,":[28],"Shapley":[30,44,76,107],"presented":[37],"for":[38],"games.":[41],"The":[42],"proposed":[43,106],"considers":[46],"not":[47],"only":[48],"average":[51],"value":[52],"of":[53,63,104],"marginal":[55],"contribution,":[56],"but":[57],"also":[58],"collective":[60],"cooperation":[61],"tendency":[62],"players.":[64],"Moreover,":[65],"some":[66],"desirable":[67],"properties":[68],"are":[69],"introduced":[70],"simultaneously.":[71],"We":[72],"show":[73],"that":[74],"belong":[82],"core":[85],"when":[86],"strong":[92],"convex.":[93],"Finally,":[94],"numerical":[96],"example":[97],"provided":[99],"illustrate":[101],"validity":[103],"function.":[108]},"counts_by_year":[{"year":2022,"cited_by_count":1},{"year":2018,"cited_by_count":1},{"year":2017,"cited_by_count":1}],"updated_date":"2026-06-23T06:36:01.041984","created_date":"2025-10-10T00:00:00"}
