{"id":"https://openalex.org/W2021857282","doi":"https://doi.org/10.1007/s005000000056","title":"Divergence and fuzziness measures","display_name":"Divergence and fuzziness measures","publication_year":2000,"publication_date":"2000-12-01","ids":{"openalex":"https://openalex.org/W2021857282","doi":"https://doi.org/10.1007/s005000000056","mag":"2021857282"},"language":"en","primary_location":{"id":"doi:10.1007/s005000000056","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s005000000056","pdf_url":null,"source":{"id":"https://openalex.org/S65753830","display_name":"Soft Computing","issn_l":"1432-7643","issn":["1432-7643","1433-7479"],"is_oa":false,"is_in_doaj":false,"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":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Soft Computing","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/A5048423557","display_name":"Pietro Benvenuti","orcid":null},"institutions":[{"id":"https://openalex.org/I861853513","display_name":"Sapienza University of Rome","ror":"https://ror.org/02be6w209","country_code":"IT","type":"education","lineage":["https://openalex.org/I861853513"]}],"countries":["IT"],"is_corresponding":false,"raw_author_name":"P. Benvenuti","raw_affiliation_strings":["Dipartimento di Metodi e Modelli Matematici per le Scienze Applicate, Facolt\u00e0 di Ingegneria Universit\u00e0 di Roma \u201cLa Sapienza\u201d, Via A. Scarpa 16, 00161 Roma, Italy, , , , , , IT","Dipartimento di Metodi e Modelli Matematici per le Scienze Applicate, Facolt\u00e0 di Ingegneria Universit\u00e0 di Roma \u201cLa Sapienza\u201d, Via A. Scarpa 16, 00161 Roma, Italy, , IT"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Dipartimento di Metodi e Modelli Matematici per le Scienze Applicate, Facolt\u00e0 di Ingegneria Universit\u00e0 di Roma \u201cLa Sapienza\u201d, Via A. Scarpa 16, 00161 Roma, Italy, , , , , , IT","institution_ids":["https://openalex.org/I861853513"]},{"raw_affiliation_string":"Dipartimento di Metodi e Modelli Matematici per le Scienze Applicate, Facolt\u00e0 di Ingegneria Universit\u00e0 di Roma \u201cLa Sapienza\u201d, Via A. Scarpa 16, 00161 Roma, Italy, , IT","institution_ids":["https://openalex.org/I861853513"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5024280269","display_name":"Doretta Vivona","orcid":"https://orcid.org/0000-0002-5267-6497"},"institutions":[{"id":"https://openalex.org/I861853513","display_name":"Sapienza University of Rome","ror":"https://ror.org/02be6w209","country_code":"IT","type":"education","lineage":["https://openalex.org/I861853513"]}],"countries":["IT"],"is_corresponding":false,"raw_author_name":"D. Vivona","raw_affiliation_strings":["Dipartimento di Metodi e Modelli Matematici per le Scienze Applicate, Facolt\u00e0 di Ingegneria Universit\u00e0 di Roma \u201cLa Sapienza\u201d, Via A. Scarpa 16, 00161 Roma, Italy, , , , , , IT","Dipartimento di Metodi e Modelli Matematici per le Scienze Applicate, Facolt\u00e0 di Ingegneria Universit\u00e0 di Roma \u201cLa Sapienza\u201d, Via A. Scarpa 16, 00161 Roma, Italy, , IT"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Dipartimento di Metodi e Modelli Matematici per le Scienze Applicate, Facolt\u00e0 di Ingegneria Universit\u00e0 di Roma \u201cLa Sapienza\u201d, Via A. Scarpa 16, 00161 Roma, Italy, , , , , , IT","institution_ids":["https://openalex.org/I861853513"]},{"raw_affiliation_string":"Dipartimento di Metodi e Modelli Matematici per le Scienze Applicate, Facolt\u00e0 di Ingegneria Universit\u00e0 di Roma \u201cLa Sapienza\u201d, Via A. Scarpa 16, 00161 Roma, Italy, , IT","institution_ids":["https://openalex.org/I861853513"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5082781199","display_name":"Maria Divari","orcid":null},"institutions":[{"id":"https://openalex.org/I861853513","display_name":"Sapienza University of Rome","ror":"https://ror.org/02be6w209","country_code":"IT","type":"education","lineage":["https://openalex.org/I861853513"]}],"countries":["IT"],"is_corresponding":false,"raw_author_name":"M. Divari","raw_affiliation_strings":["Dipartimento di Metodi e Modelli Matematici per le Scienze Applicate, Facolt\u00e0 di Ingegneria Universit\u00e0 di Roma \u201cLa Sapienza\u201d, Via A. Scarpa 16, 00161 Roma, Italy, , , , , , IT","Dipartimento di Metodi e Modelli Matematici per le Scienze Applicate, Facolt\u00e0 di Ingegneria Universit\u00e0 di Roma \u201cLa Sapienza\u201d, Via A. Scarpa 16, 00161 Roma, Italy, , IT"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Dipartimento di Metodi e Modelli Matematici per le Scienze Applicate, Facolt\u00e0 di Ingegneria Universit\u00e0 di Roma \u201cLa Sapienza\u201d, Via A. Scarpa 16, 00161 Roma, Italy, , , , , , IT","institution_ids":["https://openalex.org/I861853513"]},{"raw_affiliation_string":"Dipartimento di Metodi e Modelli Matematici per le Scienze Applicate, Facolt\u00e0 di Ingegneria Universit\u00e0 di Roma \u201cLa Sapienza\u201d, Via A. Scarpa 16, 00161 Roma, Italy, , IT","institution_ids":["https://openalex.org/I861853513"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":[],"corresponding_institution_ids":["https://openalex.org/I861853513"],"apc_list":{"value":2390,"currency":"EUR","value_usd":2990},"apc_paid":null,"fwci":0.0,"has_fulltext":false,"cited_by_count":3,"citation_normalized_percentile":{"value":0.1635953,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":95,"max":96},"biblio":{"volume":"4","issue":"4","first_page":"210","last_page":"213"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10050","display_name":"Multi-Criteria Decision Making","score":0.8888999819755554,"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":0.8888999819755554,"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/T10820","display_name":"Fuzzy Logic and Control Systems","score":0.8226000070571899,"subfield":{"id":"https://openalex.org/subfields/1702","display_name":"Artificial Intelligence"},"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/T12135","display_name":"Fuzzy Systems and Optimization","score":0.7434999942779541,"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/divergence","display_name":"Divergence (linguistics)","score":0.7886230945587158},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.6892978549003601},{"id":"https://openalex.org/keywords/measure","display_name":"Measure (data warehouse)","score":0.6874308586120605},{"id":"https://openalex.org/keywords/fuzzy-set","display_name":"Fuzzy set","score":0.6627017855644226},{"id":"https://openalex.org/keywords/fuzzy-logic","display_name":"Fuzzy logic","score":0.6429598331451416},{"id":"https://openalex.org/keywords/axiom","display_name":"Axiom","score":0.6009188294410706},{"id":"https://openalex.org/keywords/fuzzy-set-operations","display_name":"Fuzzy set operations","score":0.5060271620750427},{"id":"https://openalex.org/keywords/fuzzy-measure-theory","display_name":"Fuzzy measure theory","score":0.46227794885635376},{"id":"https://openalex.org/keywords/set","display_name":"Set (abstract data type)","score":0.4534017741680145},{"id":"https://openalex.org/keywords/fuzzy-classification","display_name":"Fuzzy classification","score":0.42830953001976013},{"id":"https://openalex.org/keywords/fuzzy-number","display_name":"Fuzzy number","score":0.4174792766571045},{"id":"https://openalex.org/keywords/membership-function","display_name":"Membership function","score":0.4158340096473694},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.41454261541366577},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.3668479919433594},{"id":"https://openalex.org/keywords/data-mining","display_name":"Data mining","score":0.2960173189640045},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.2807438373565674},{"id":"https://openalex.org/keywords/geometry","display_name":"Geometry","score":0.06119769811630249}],"concepts":[{"id":"https://openalex.org/C207390915","wikidata":"https://www.wikidata.org/wiki/Q1230525","display_name":"Divergence (linguistics)","level":2,"score":0.7886230945587158},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.6892978549003601},{"id":"https://openalex.org/C2780009758","wikidata":"https://www.wikidata.org/wiki/Q6804172","display_name":"Measure (data warehouse)","level":2,"score":0.6874308586120605},{"id":"https://openalex.org/C42011625","wikidata":"https://www.wikidata.org/wiki/Q1055058","display_name":"Fuzzy set","level":3,"score":0.6627017855644226},{"id":"https://openalex.org/C58166","wikidata":"https://www.wikidata.org/wiki/Q224821","display_name":"Fuzzy logic","level":2,"score":0.6429598331451416},{"id":"https://openalex.org/C167729594","wikidata":"https://www.wikidata.org/wiki/Q17736","display_name":"Axiom","level":2,"score":0.6009188294410706},{"id":"https://openalex.org/C148671577","wikidata":"https://www.wikidata.org/wiki/Q5511133","display_name":"Fuzzy set operations","level":4,"score":0.5060271620750427},{"id":"https://openalex.org/C100516043","wikidata":"https://www.wikidata.org/wiki/Q4455138","display_name":"Fuzzy measure theory","level":5,"score":0.46227794885635376},{"id":"https://openalex.org/C177264268","wikidata":"https://www.wikidata.org/wiki/Q1514741","display_name":"Set (abstract data type)","level":2,"score":0.4534017741680145},{"id":"https://openalex.org/C127385683","wikidata":"https://www.wikidata.org/wiki/Q1475696","display_name":"Fuzzy classification","level":4,"score":0.42830953001976013},{"id":"https://openalex.org/C1883856","wikidata":"https://www.wikidata.org/wiki/Q3407463","display_name":"Fuzzy number","level":4,"score":0.4174792766571045},{"id":"https://openalex.org/C5263885","wikidata":"https://www.wikidata.org/wiki/Q1967302","display_name":"Membership function","level":4,"score":0.4158340096473694},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.41454261541366577},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.3668479919433594},{"id":"https://openalex.org/C124101348","wikidata":"https://www.wikidata.org/wiki/Q172491","display_name":"Data mining","level":1,"score":0.2960173189640045},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.2807438373565674},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.06119769811630249},{"id":"https://openalex.org/C138885662","wikidata":"https://www.wikidata.org/wiki/Q5891","display_name":"Philosophy","level":0,"score":0.0},{"id":"https://openalex.org/C199360897","wikidata":"https://www.wikidata.org/wiki/Q9143","display_name":"Programming language","level":1,"score":0.0},{"id":"https://openalex.org/C41895202","wikidata":"https://www.wikidata.org/wiki/Q8162","display_name":"Linguistics","level":1,"score":0.0}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.1007/s005000000056","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s005000000056","pdf_url":null,"source":{"id":"https://openalex.org/S65753830","display_name":"Soft Computing","issn_l":"1432-7643","issn":["1432-7643","1433-7479"],"is_oa":false,"is_in_doaj":false,"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":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Soft Computing","raw_type":"journal-article"},{"id":"pmh:oai:iris.uniroma1.it:11573/255241","is_oa":false,"landing_page_url":"http://hdl.handle.net/11573/255241","pdf_url":null,"source":{"id":"https://openalex.org/S4377196107","display_name":"IRIS Research product catalog (Sapienza University of Rome)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":null,"host_organization_name":null,"host_organization_lineage":[],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"info:eu-repo/semantics/article"}],"best_oa_location":null,"sustainable_development_goals":[{"score":0.5600000023841858,"display_name":"Climate action","id":"https://metadata.un.org/sdg/13"}],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":0,"referenced_works":[],"related_works":["https://openalex.org/W2037428035","https://openalex.org/W2674573885","https://openalex.org/W2781808531","https://openalex.org/W1486684451","https://openalex.org/W3207735076","https://openalex.org/W1975005191","https://openalex.org/W2610377848","https://openalex.org/W2048452567","https://openalex.org/W2088978098","https://openalex.org/W4361984403"],"abstract_inverted_index":null,"counts_by_year":[{"year":2025,"cited_by_count":2}],"updated_date":"2026-06-26T08:34:08.712188","created_date":"2025-10-10T00:00:00"}
