{"id":"https://openalex.org/W1584722645","doi":"https://doi.org/10.3233/ifs-120662","title":"A score function based on relative entropy and its application in intuitionistic normal fuzzy multiple criteria decision making","display_name":"A score function based on relative entropy and its application in intuitionistic normal fuzzy multiple criteria decision making","publication_year":2013,"publication_date":"2013-01-01","ids":{"openalex":"https://openalex.org/W1584722645","doi":"https://doi.org/10.3233/ifs-120662","mag":"1584722645"},"language":"en","primary_location":{"id":"doi:10.3233/ifs-120662","is_oa":false,"landing_page_url":"https://doi.org/10.3233/ifs-120662","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 & 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/A5100436355","display_name":"Jian\u2010qiang Wang","orcid":"https://orcid.org/0000-0001-7668-4881"},"institutions":[{"id":"https://openalex.org/I139660479","display_name":"Central South University","ror":"https://ror.org/00f1zfq44","country_code":"CN","type":"education","lineage":["https://openalex.org/I139660479"]}],"countries":["CN"],"is_corresponding":true,"raw_author_name":"Jian-qiang Wang","raw_affiliation_strings":["Business School, Central South University, Changsha, China"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Business School, Central South University, Changsha, China","institution_ids":["https://openalex.org/I139660479"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5049073704","display_name":"Kang-jian Li","orcid":null},"institutions":[{"id":"https://openalex.org/I139660479","display_name":"Central South University","ror":"https://ror.org/00f1zfq44","country_code":"CN","type":"education","lineage":["https://openalex.org/I139660479"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Kang-jian Li","raw_affiliation_strings":["Business School, Central South University, Changsha, China"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Business School, Central South University, Changsha, China","institution_ids":["https://openalex.org/I139660479"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5100412587","display_name":"Hong\u2010yu Zhang","orcid":"https://orcid.org/0000-0001-5142-5277"},"institutions":[{"id":"https://openalex.org/I139660479","display_name":"Central South University","ror":"https://ror.org/00f1zfq44","country_code":"CN","type":"education","lineage":["https://openalex.org/I139660479"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Hong-yu Zhang","raw_affiliation_strings":["Business School, Central South University, Changsha, China"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Business School, Central South University, Changsha, China","institution_ids":["https://openalex.org/I139660479"]}]},{"author_position":"last","author":{"id":null,"display_name":"Xiao-hong Chen","orcid":null},"institutions":[{"id":"https://openalex.org/I139660479","display_name":"Central South University","ror":"https://ror.org/00f1zfq44","country_code":"CN","type":"education","lineage":["https://openalex.org/I139660479"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Xiao-hong Chen","raw_affiliation_strings":["Business School, Central South University, Changsha, China"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Business School, Central South University, Changsha, China","institution_ids":["https://openalex.org/I139660479"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":4,"corresponding_author_ids":["https://openalex.org/A5100436355"],"corresponding_institution_ids":["https://openalex.org/I139660479"],"apc_list":null,"apc_paid":null,"fwci":4.2611,"has_fulltext":false,"cited_by_count":30,"citation_normalized_percentile":{"value":0.93842269,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":90,"max":99},"biblio":{"volume":"25","issue":"3","first_page":"567","last_page":"576"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10050","display_name":"Multi-Criteria Decision Making","score":0.9987999796867371,"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":0.9987999796867371,"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/T13832","display_name":"Advanced Decision-Making Techniques","score":0.9980999827384949,"subfield":{"id":"https://openalex.org/subfields/1710","display_name":"Information Systems"},"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/T13955","display_name":"Evaluation Methods in Various Fields","score":0.9972000122070312,"subfield":{"id":"https://openalex.org/subfields/2302","display_name":"Ecological Modeling"},"field":{"id":"https://openalex.org/fields/23","display_name":"Environmental Science"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.505214512348175},{"id":"https://openalex.org/keywords/score","display_name":"Score","score":0.5024347305297852},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.43822070956230164},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.3751879036426544},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.3504524230957031},{"id":"https://openalex.org/keywords/machine-learning","display_name":"Machine learning","score":0.23647010326385498}],"concepts":[{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.505214512348175},{"id":"https://openalex.org/C65660741","wikidata":"https://www.wikidata.org/wiki/Q3952743","display_name":"Score","level":2,"score":0.5024347305297852},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.43822070956230164},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.3751879036426544},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.3504524230957031},{"id":"https://openalex.org/C119857082","wikidata":"https://www.wikidata.org/wiki/Q2539","display_name":"Machine learning","level":1,"score":0.23647010326385498}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.3233/ifs-120662","is_oa":false,"landing_page_url":"https://doi.org/10.3233/ifs-120662","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 & Fuzzy Systems","raw_type":"journal-article"}],"best_oa_location":null,"sustainable_development_goals":[{"display_name":"Peace, Justice and strong institutions","score":0.8199999928474426,"id":"https://metadata.un.org/sdg/16"}],"awards":[],"funders":[{"id":"https://openalex.org/F4320321001","display_name":"National Natural Science Foundation of China","ror":"https://ror.org/01h0zpd94"},{"id":"https://openalex.org/F4320321026","display_name":"Ministry of Earth Sciences","ror":"https://ror.org/013cf5k59"},{"id":"https://openalex.org/F4320322724","display_name":"Ministry of Education, India","ror":"https://ror.org/048xjjh50"}],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":22,"referenced_works":["https://openalex.org/W991072484","https://openalex.org/W1969921454","https://openalex.org/W1980564456","https://openalex.org/W1981821677","https://openalex.org/W1987729209","https://openalex.org/W2002636607","https://openalex.org/W2046305541","https://openalex.org/W2057718022","https://openalex.org/W2067472607","https://openalex.org/W2076296214","https://openalex.org/W2076808107","https://openalex.org/W2081037298","https://openalex.org/W2084063803","https://openalex.org/W2151159878","https://openalex.org/W2154463842","https://openalex.org/W2363362486","https://openalex.org/W2367826782","https://openalex.org/W2382719933","https://openalex.org/W2383338108","https://openalex.org/W2393506224","https://openalex.org/W2477633158","https://openalex.org/W4285719527"],"related_works":["https://openalex.org/W2899084033","https://openalex.org/W2094362282","https://openalex.org/W4239376463","https://openalex.org/W2351859806","https://openalex.org/W1994109492","https://openalex.org/W1987371472","https://openalex.org/W2089811522","https://openalex.org/W2092244978","https://openalex.org/W2074934641","https://openalex.org/W2151945977"],"abstract_inverted_index":{"In":[0],"this":[1,46],"paper,":[2],"after":[3],"analyzing":[4],"on":[5,22,110],"shortcomings":[6],"of":[7,12,30,45,52,91,97,128],"the":[8,31,43,50,53,74,88,95,111,124,129],"existing":[9],"score":[10,19,47,113],"functions":[11],"intuitionistic":[13,54,63,75,98,103],"fuzzy":[14,56,65,77,100,105],"set":[15],"(IFS),":[16],"a":[17],"new":[18],"function":[20,114],"based":[21,109],"relative":[23,112],"entropy":[24],"is":[25,115,120],"presented.":[26],"The":[27],"risk":[28],"attitudes":[29],"decision":[32],"makers":[33],"are":[34,70,93],"also":[35],"defined.":[36],"Examples":[37],"have":[38],"been":[39],"given":[40],"to":[41,122],"show":[42,123],"validity":[44,127],"function.":[48],"Meanwhile,":[49],"definition":[51],"normal":[55,64,76,99,104],"number":[57],"and":[58,62,87,126],"their":[59],"operational":[60],"laws":[61],"weighted":[66],"arithmetic":[67],"averaging":[68],"operator":[69],"proposed.":[71,116],"As":[72],"for":[73],"multi-criteria":[78,106],"decision-making":[79,107],"problems":[80],"in":[81,94],"which":[82],"criteria":[83,89],"weights":[84],"remain":[85],"fixed":[86],"values":[90],"alternatives":[92],"form":[96],"numbers.":[101],"An":[102],"approach":[108],"Finally,":[117],"an":[118],"example":[119],"provided":[121],"feasibility":[125],"approach.":[130]},"counts_by_year":[{"year":2025,"cited_by_count":1},{"year":2023,"cited_by_count":1},{"year":2022,"cited_by_count":3},{"year":2020,"cited_by_count":6},{"year":2019,"cited_by_count":2},{"year":2018,"cited_by_count":3},{"year":2017,"cited_by_count":4},{"year":2016,"cited_by_count":2},{"year":2015,"cited_by_count":6},{"year":2014,"cited_by_count":2}],"updated_date":"2026-05-21T09:19:25.381259","created_date":"2025-10-10T00:00:00"}