{"id":"https://openalex.org/W4406116020","doi":"https://doi.org/10.1007/s40747-024-01761-0","title":"New Jensen\u2013Shannon divergence measures for intuitionistic fuzzy sets with the construction of a parametric intuitionistic fuzzy TOPSIS","display_name":"New Jensen\u2013Shannon divergence measures for intuitionistic fuzzy sets with the construction of a parametric intuitionistic fuzzy TOPSIS","publication_year":2025,"publication_date":"2025-01-07","ids":{"openalex":"https://openalex.org/W4406116020","doi":"https://doi.org/10.1007/s40747-024-01761-0"},"language":"en","primary_location":{"id":"doi:10.1007/s40747-024-01761-0","is_oa":true,"landing_page_url":"https://doi.org/10.1007/s40747-024-01761-0","pdf_url":"https://link.springer.com/content/pdf/10.1007/s40747-024-01761-0.pdf","source":{"id":"https://openalex.org/S3035462843","display_name":"Complex & Intelligent Systems","issn_l":"2198-6053","issn":["2198-6053","2199-4536"],"is_oa":true,"is_in_doaj":true,"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":"cc-by-nc-nd","license_id":"https://openalex.org/licenses/cc-by-nc-nd","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Complex & Intelligent Systems","raw_type":"journal-article"},"type":"article","indexed_in":["crossref","doaj"],"open_access":{"is_oa":true,"oa_status":"gold","oa_url":"https://link.springer.com/content/pdf/10.1007/s40747-024-01761-0.pdf","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5084048028","display_name":"Xinxing Wu","orcid":"https://orcid.org/0000-0002-2716-1416"},"institutions":[{"id":"https://openalex.org/I170172562","display_name":"Guizhou University of Finance and Economics","ror":"https://ror.org/02sw6yz40","country_code":"CN","type":"education","lineage":["https://openalex.org/I170172562"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Xinxing Wu","raw_affiliation_strings":["School of Mathematics and Statistics, Guizhou University of Finance and Economics, Guiyang, 550025, Guizhou, China"],"affiliations":[{"raw_affiliation_string":"School of Mathematics and Statistics, Guizhou University of Finance and Economics, Guiyang, 550025, Guizhou, China","institution_ids":["https://openalex.org/I170172562"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5100318591","display_name":"Qian Liu","orcid":null},"institutions":[{"id":"https://openalex.org/I165745306","display_name":"Southwest Petroleum University","ror":"https://ror.org/03h17x602","country_code":"CN","type":"education","lineage":["https://openalex.org/I165745306"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Qian Liu","raw_affiliation_strings":["School of Sciences, Southwest Petroleum University, Chengdu, 610500, Sichuan, China"],"affiliations":[{"raw_affiliation_string":"School of Sciences, Southwest Petroleum University, Chengdu, 610500, Sichuan, China","institution_ids":["https://openalex.org/I165745306"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5079323358","display_name":"Lantian Liu","orcid":null},"institutions":[{"id":"https://openalex.org/I165745306","display_name":"Southwest Petroleum University","ror":"https://ror.org/03h17x602","country_code":"CN","type":"education","lineage":["https://openalex.org/I165745306"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Lantian Liu","raw_affiliation_strings":["School of Sciences, Southwest Petroleum University, Chengdu, 610500, Sichuan, China"],"affiliations":[{"raw_affiliation_string":"School of Sciences, Southwest Petroleum University, Chengdu, 610500, Sichuan, China","institution_ids":["https://openalex.org/I165745306"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5087177935","display_name":"Miin\u2010Shen Yang","orcid":"https://orcid.org/0000-0002-4907-3548"},"institutions":[{"id":"https://openalex.org/I151221077","display_name":"Chung Yuan Christian University","ror":"https://ror.org/02w8ws377","country_code":"TW","type":"education","lineage":["https://openalex.org/I151221077"]}],"countries":["TW"],"is_corresponding":true,"raw_author_name":"Miin-Shen Yang","raw_affiliation_strings":["Department of Applied Mathematics, Chung Yuan Christian University, Chung-Li, Taoyuan, 32023, Taiwan"],"affiliations":[{"raw_affiliation_string":"Department of Applied Mathematics, Chung Yuan Christian University, Chung-Li, Taoyuan, 32023, Taiwan","institution_ids":["https://openalex.org/I151221077"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5100437233","display_name":"Xu Zhang","orcid":"https://orcid.org/0000-0002-5138-6631"},"institutions":[{"id":"https://openalex.org/I154099455","display_name":"Shandong University","ror":"https://ror.org/0207yh398","country_code":"CN","type":"education","lineage":["https://openalex.org/I154099455"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Xu Zhang","raw_affiliation_strings":["Department of Mathematics, Shandong University, Weihai, 264209, Shandong, China"],"affiliations":[{"raw_affiliation_string":"Department of Mathematics, Shandong University, Weihai, 264209, Shandong, China","institution_ids":["https://openalex.org/I154099455"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":5,"corresponding_author_ids":["https://openalex.org/A5087177935"],"corresponding_institution_ids":["https://openalex.org/I151221077"],"apc_list":{"value":1320,"currency":"GBP","value_usd":1619},"apc_paid":{"value":1320,"currency":"GBP","value_usd":1619},"fwci":6.6029,"has_fulltext":true,"cited_by_count":3,"citation_normalized_percentile":{"value":0.95301075,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":96,"max":97},"biblio":{"volume":"11","issue":"2","first_page":null,"last_page":null},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10050","display_name":"Multi-Criteria Decision Making","score":1.0,"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":1.0,"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":0.9925000071525574,"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/T12709","display_name":"Optimization and Mathematical Programming","score":0.9794999957084656,"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"}}],"keywords":[{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.6802213788032532},{"id":"https://openalex.org/keywords/topsis","display_name":"TOPSIS","score":0.6697522401809692},{"id":"https://openalex.org/keywords/measure","display_name":"Measure (data warehouse)","score":0.5836036205291748},{"id":"https://openalex.org/keywords/axiom","display_name":"Axiom","score":0.5626257061958313},{"id":"https://openalex.org/keywords/entropy","display_name":"Entropy (arrow of time)","score":0.5510745644569397},{"id":"https://openalex.org/keywords/divergence","display_name":"Divergence (linguistics)","score":0.5445958375930786},{"id":"https://openalex.org/keywords/similarity-measure","display_name":"Similarity measure","score":0.5370299816131592},{"id":"https://openalex.org/keywords/fuzzy-measure-theory","display_name":"Fuzzy measure theory","score":0.4433537721633911},{"id":"https://openalex.org/keywords/computational-intelligence","display_name":"Computational intelligence","score":0.42883551120758057},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.3341386318206787},{"id":"https://openalex.org/keywords/fuzzy-logic","display_name":"Fuzzy logic","score":0.32973331212997437},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.3208489418029785},{"id":"https://openalex.org/keywords/fuzzy-set","display_name":"Fuzzy set","score":0.31188270449638367},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.30318915843963623},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.2592093348503113},{"id":"https://openalex.org/keywords/fuzzy-set-operations","display_name":"Fuzzy set operations","score":0.24820533394813538},{"id":"https://openalex.org/keywords/data-mining","display_name":"Data mining","score":0.2252253293991089},{"id":"https://openalex.org/keywords/mathematical-economics","display_name":"Mathematical economics","score":0.19073638319969177}],"concepts":[{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.6802213788032532},{"id":"https://openalex.org/C51566761","wikidata":"https://www.wikidata.org/wiki/Q1235853","display_name":"TOPSIS","level":2,"score":0.6697522401809692},{"id":"https://openalex.org/C2780009758","wikidata":"https://www.wikidata.org/wiki/Q6804172","display_name":"Measure (data warehouse)","level":2,"score":0.5836036205291748},{"id":"https://openalex.org/C167729594","wikidata":"https://www.wikidata.org/wiki/Q17736","display_name":"Axiom","level":2,"score":0.5626257061958313},{"id":"https://openalex.org/C106301342","wikidata":"https://www.wikidata.org/wiki/Q4117933","display_name":"Entropy (arrow of time)","level":2,"score":0.5510745644569397},{"id":"https://openalex.org/C207390915","wikidata":"https://www.wikidata.org/wiki/Q1230525","display_name":"Divergence (linguistics)","level":2,"score":0.5445958375930786},{"id":"https://openalex.org/C2776517306","wikidata":"https://www.wikidata.org/wiki/Q29017317","display_name":"Similarity measure","level":2,"score":0.5370299816131592},{"id":"https://openalex.org/C100516043","wikidata":"https://www.wikidata.org/wiki/Q4455138","display_name":"Fuzzy measure theory","level":5,"score":0.4433537721633911},{"id":"https://openalex.org/C139502532","wikidata":"https://www.wikidata.org/wiki/Q1122090","display_name":"Computational intelligence","level":2,"score":0.42883551120758057},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.3341386318206787},{"id":"https://openalex.org/C58166","wikidata":"https://www.wikidata.org/wiki/Q224821","display_name":"Fuzzy logic","level":2,"score":0.32973331212997437},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.3208489418029785},{"id":"https://openalex.org/C42011625","wikidata":"https://www.wikidata.org/wiki/Q1055058","display_name":"Fuzzy set","level":3,"score":0.31188270449638367},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.30318915843963623},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.2592093348503113},{"id":"https://openalex.org/C148671577","wikidata":"https://www.wikidata.org/wiki/Q5511133","display_name":"Fuzzy set operations","level":4,"score":0.24820533394813538},{"id":"https://openalex.org/C124101348","wikidata":"https://www.wikidata.org/wiki/Q172491","display_name":"Data mining","level":1,"score":0.2252253293991089},{"id":"https://openalex.org/C144237770","wikidata":"https://www.wikidata.org/wiki/Q747534","display_name":"Mathematical economics","level":1,"score":0.19073638319969177},{"id":"https://openalex.org/C138885662","wikidata":"https://www.wikidata.org/wiki/Q5891","display_name":"Philosophy","level":0,"score":0.0},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"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/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.0},{"id":"https://openalex.org/C62520636","wikidata":"https://www.wikidata.org/wiki/Q944","display_name":"Quantum mechanics","level":1,"score":0.0}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.1007/s40747-024-01761-0","is_oa":true,"landing_page_url":"https://doi.org/10.1007/s40747-024-01761-0","pdf_url":"https://link.springer.com/content/pdf/10.1007/s40747-024-01761-0.pdf","source":{"id":"https://openalex.org/S3035462843","display_name":"Complex & Intelligent Systems","issn_l":"2198-6053","issn":["2198-6053","2199-4536"],"is_oa":true,"is_in_doaj":true,"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":"cc-by-nc-nd","license_id":"https://openalex.org/licenses/cc-by-nc-nd","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Complex & Intelligent Systems","raw_type":"journal-article"},{"id":"pmh:oai:doaj.org/article:3248c45018294fe395b274d8cc9a1409","is_oa":true,"landing_page_url":"https://doaj.org/article/3248c45018294fe395b274d8cc9a1409","pdf_url":null,"source":{"id":"https://openalex.org/S112646816","display_name":"SHILAP Revista de lepidopterolog\u00eda","issn_l":"0300-5267","issn":["0300-5267","2340-4078"],"is_oa":true,"is_in_doaj":true,"is_core":false,"host_organization":null,"host_organization_name":null,"host_organization_lineage":[],"host_organization_lineage_names":[],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"Complex & Intelligent Systems, Vol 11, Iss 2, Pp 1-15 (2025)","raw_type":"article"}],"best_oa_location":{"id":"doi:10.1007/s40747-024-01761-0","is_oa":true,"landing_page_url":"https://doi.org/10.1007/s40747-024-01761-0","pdf_url":"https://link.springer.com/content/pdf/10.1007/s40747-024-01761-0.pdf","source":{"id":"https://openalex.org/S3035462843","display_name":"Complex & Intelligent Systems","issn_l":"2198-6053","issn":["2198-6053","2199-4536"],"is_oa":true,"is_in_doaj":true,"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":"cc-by-nc-nd","license_id":"https://openalex.org/licenses/cc-by-nc-nd","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Complex & Intelligent Systems","raw_type":"journal-article"},"sustainable_development_goals":[{"score":0.49000000953674316,"id":"https://metadata.un.org/sdg/13","display_name":"Climate action"}],"awards":[{"id":"https://openalex.org/G3075619742","display_name":null,"funder_award_id":"NSTC 113-2118-M-033-001","funder_id":"https://openalex.org/F4320331164","funder_display_name":"National Science and Technology Council"},{"id":"https://openalex.org/G5639015145","display_name":null,"funder_award_id":"2022NSFSC1821","funder_id":"https://openalex.org/F4320329861","funder_display_name":"Natural Science Foundation of Sichuan Province"},{"id":"https://openalex.org/G7216457744","display_name":null,"funder_award_id":"2022NSFSC","funder_id":"https://openalex.org/F4320329861","funder_display_name":"Natural Science Foundation of Sichuan Province"}],"funders":[{"id":"https://openalex.org/F4320321927","display_name":"Guizhou University","ror":"https://ror.org/02wmsc916"},{"id":"https://openalex.org/F4320324883","display_name":"Guizhou University of Finance and Economics","ror":"https://ror.org/02sw6yz40"},{"id":"https://openalex.org/F4320329861","display_name":"Natural Science Foundation of Sichuan Province","ror":null},{"id":"https://openalex.org/F4320331164","display_name":"National Science and Technology Council","ror":"https://ror.org/00wnb9798"}],"has_content":{"grobid_xml":true,"pdf":true},"content_urls":{"pdf":"https://content.openalex.org/works/W4406116020.pdf","grobid_xml":"https://content.openalex.org/works/W4406116020.grobid-xml"},"referenced_works_count":43,"referenced_works":["https://openalex.org/W39659140","https://openalex.org/W1965047898","https://openalex.org/W1969823555","https://openalex.org/W1971875039","https://openalex.org/W1973908338","https://openalex.org/W1980564456","https://openalex.org/W1995875735","https://openalex.org/W1996937753","https://openalex.org/W2008010437","https://openalex.org/W2026244788","https://openalex.org/W2029074979","https://openalex.org/W2033291297","https://openalex.org/W2037351862","https://openalex.org/W2056788985","https://openalex.org/W2075028004","https://openalex.org/W2079767857","https://openalex.org/W2082669644","https://openalex.org/W2086869454","https://openalex.org/W2091275864","https://openalex.org/W2123310356","https://openalex.org/W2146950091","https://openalex.org/W2206020237","https://openalex.org/W2410679497","https://openalex.org/W2466697463","https://openalex.org/W2506768821","https://openalex.org/W2743435031","https://openalex.org/W2766931335","https://openalex.org/W2809682588","https://openalex.org/W2883985322","https://openalex.org/W2904888557","https://openalex.org/W2997734707","https://openalex.org/W3000706679","https://openalex.org/W3094100733","https://openalex.org/W3099290845","https://openalex.org/W3127382251","https://openalex.org/W3158347582","https://openalex.org/W3158485999","https://openalex.org/W4211007335","https://openalex.org/W4213254405","https://openalex.org/W4230571157","https://openalex.org/W4292295629","https://openalex.org/W4295873041","https://openalex.org/W4390204336"],"related_works":["https://openalex.org/W2197835958","https://openalex.org/W1990031654","https://openalex.org/W2591792993","https://openalex.org/W2136108043","https://openalex.org/W4313533391","https://openalex.org/W2009132258","https://openalex.org/W2287199596","https://openalex.org/W2378340985","https://openalex.org/W3127812149","https://openalex.org/W3200484643"],"abstract_inverted_index":{"In":[0,70],"this":[1,64,72],"paper,":[2],"we":[3],"first":[4],"give":[5],"an":[6],"example":[7,128],"to":[8,112,147],"show":[9],"that":[10,25],"Theorem":[11],"1":[12],"in":[13],"Hung":[14,30],"and":[15,31,59,75,80,91,103,137],"Yang":[16,32],"(Inf":[17],"Sci":[18],"178(6):1641\u20131650,":[19],"2008)":[20],"does":[21,33],"not":[22,34],"hold,":[23],"implying":[24],"the":[26,36,85,121,130,149,152],"J-divergence":[27],"introduced":[28,58,111],"by":[29,45],"satisfy":[35,84],"axiomatic":[37,86],"definition":[38],"of":[39,88,133,151],"intuitionistic":[40,53,122],"fuzzy":[41,54,123],"divergence":[42,50,66,73,99],"measure.":[43],"Inspired":[44],"this,":[46],"a":[47,106,126,138],"new":[48,65,107],"Jensen\u2013Shannon":[49],"measure":[51,67,83],"for":[52,63,93],"sets":[55],"(IFSs)":[56],"is":[57,110,145],"some":[60],"basic":[61],"properties":[62],"are":[68],"obtained.":[69],"particular,":[71],"measure,":[74,79,100,102],"its":[76],"induced":[77,81],"similarity":[78],"entropy":[82,92,101],"definitions":[87],"divergence,":[89],"similarity,":[90],"IFSs.":[94],"Based":[95],"on":[96,129],"our":[97],"proposed":[98,153],"entropy-weight":[104],"method,":[105],"TOPSIS":[108,143,154],"method":[109],"deal":[113],"with":[114,141],"multi-attribute":[115],"decision":[116],"making":[117],"(MADM)":[118],"problems":[119],"under":[120],"framework.":[124],"Finally,":[125],"practical":[127],"credit":[131],"evaluation":[132],"potential":[134],"strategic":[135],"partners":[136],"comparative":[139],"analysis":[140],"other":[142],"methods":[144],"developed":[146],"illustrate":[148],"efficiency":[150],"method.":[155]},"counts_by_year":[{"year":2025,"cited_by_count":3}],"updated_date":"2026-03-20T23:20:44.827607","created_date":"2025-10-10T00:00:00"}