{"id":"https://openalex.org/W2076527648","doi":"https://doi.org/10.1016/s0165-0114(97)00029-8","title":"Composition, cartesian and direct products of fuzzy multivalued mappings","display_name":"Composition, cartesian and direct products of fuzzy multivalued mappings","publication_year":1998,"publication_date":"1998-11-01","ids":{"openalex":"https://openalex.org/W2076527648","doi":"https://doi.org/10.1016/s0165-0114(97)00029-8","mag":"2076527648"},"language":"en","primary_location":{"id":"doi:10.1016/s0165-0114(97)00029-8","is_oa":false,"landing_page_url":"https://doi.org/10.1016/s0165-0114(97)00029-8","pdf_url":null,"source":{"id":"https://openalex.org/S169411308","display_name":"Fuzzy Sets and Systems","issn_l":"0165-0114","issn":["0165-0114","1872-6801"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320990","host_organization_name":"Elsevier BV","host_organization_lineage":["https://openalex.org/P4310320990"],"host_organization_lineage_names":["Elsevier BV"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Fuzzy Sets and 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/A5065889495","display_name":"Elena Tsiporkova","orcid":"https://orcid.org/0009-0003-7202-3471"},"institutions":[],"countries":[],"is_corresponding":true,"raw_author_name":"Elena Tsiporkova","raw_affiliation_strings":["Department of Computer Systems, Technical University of Plovdiv, St. Petersburg Blvd. 61, 4000 Plovdiv, Bulgaria"],"affiliations":[{"raw_affiliation_string":"Department of Computer Systems, Technical University of Plovdiv, St. Petersburg Blvd. 61, 4000 Plovdiv, Bulgaria","institution_ids":[]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5072347317","display_name":"Etienne E. Kerre","orcid":"https://orcid.org/0000-0003-4530-6487"},"institutions":[{"id":"https://openalex.org/I32597200","display_name":"Ghent University","ror":"https://ror.org/00cv9y106","country_code":"BE","type":"education","lineage":["https://openalex.org/I32597200"]}],"countries":["BE"],"is_corresponding":false,"raw_author_name":"Etienne Kerre","raw_affiliation_strings":["Department of Applied Mathematics and Computer Science, University of Gent, Krijgslaan 281 (S9), B-9000 Gent, Belgium","Department of Applied Mathematics and Computer Science, University of Gent, Krijgslaan 281-S9, B 9000 Gent, Belgium"],"affiliations":[{"raw_affiliation_string":"Department of Applied Mathematics and Computer Science, University of Gent, Krijgslaan 281 (S9), B-9000 Gent, Belgium","institution_ids":["https://openalex.org/I32597200"]},{"raw_affiliation_string":"Department of Applied Mathematics and Computer Science, University of Gent, Krijgslaan 281-S9, B 9000 Gent, Belgium","institution_ids":["https://openalex.org/I32597200"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5065889495"],"corresponding_institution_ids":[],"apc_list":{"value":2600,"currency":"USD","value_usd":2600},"apc_paid":null,"fwci":0.0,"has_fulltext":false,"cited_by_count":0,"citation_normalized_percentile":{"value":0.22358722,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":null,"biblio":{"volume":"99","issue":"3","first_page":"325","last_page":"346"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10050","display_name":"Multi-Criteria Decision Making","score":0.9926999807357788,"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":0.9926999807357788,"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/T10545","display_name":"Optimization and Variational Analysis","score":0.9923999905586243,"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"}},{"id":"https://openalex.org/T11671","display_name":"Fuzzy and Soft Set Theory","score":0.9846000075340271,"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"}}],"keywords":[{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.8421747088432312},{"id":"https://openalex.org/keywords/fuzzy-logic","display_name":"Fuzzy logic","score":0.6140391826629639},{"id":"https://openalex.org/keywords/extension","display_name":"Extension (predicate logic)","score":0.5699028968811035},{"id":"https://openalex.org/keywords/cartesian-product","display_name":"Cartesian product","score":0.5100715756416321},{"id":"https://openalex.org/keywords/inverse","display_name":"Inverse","score":0.5098022818565369},{"id":"https://openalex.org/keywords/fuzzy-number","display_name":"Fuzzy number","score":0.489360511302948},{"id":"https://openalex.org/keywords/diagonal","display_name":"Diagonal","score":0.44843193888664246},{"id":"https://openalex.org/keywords/fuzzy-set","display_name":"Fuzzy set","score":0.4335397183895111},{"id":"https://openalex.org/keywords/image","display_name":"Image (mathematics)","score":0.4333706200122833},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.39169633388519287},{"id":"https://openalex.org/keywords/pure-mathematics","display_name":"Pure mathematics","score":0.3652735948562622},{"id":"https://openalex.org/keywords/algebra-over-a-field","display_name":"Algebra over a field","score":0.3461449146270752},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.14522609114646912},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.116854727268219},{"id":"https://openalex.org/keywords/geometry","display_name":"Geometry","score":0.06468844413757324}],"concepts":[{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.8421747088432312},{"id":"https://openalex.org/C58166","wikidata":"https://www.wikidata.org/wiki/Q224821","display_name":"Fuzzy logic","level":2,"score":0.6140391826629639},{"id":"https://openalex.org/C2778029271","wikidata":"https://www.wikidata.org/wiki/Q5421931","display_name":"Extension (predicate logic)","level":2,"score":0.5699028968811035},{"id":"https://openalex.org/C65236422","wikidata":"https://www.wikidata.org/wiki/Q173740","display_name":"Cartesian product","level":2,"score":0.5100715756416321},{"id":"https://openalex.org/C207467116","wikidata":"https://www.wikidata.org/wiki/Q4385666","display_name":"Inverse","level":2,"score":0.5098022818565369},{"id":"https://openalex.org/C1883856","wikidata":"https://www.wikidata.org/wiki/Q3407463","display_name":"Fuzzy number","level":4,"score":0.489360511302948},{"id":"https://openalex.org/C130367717","wikidata":"https://www.wikidata.org/wiki/Q189791","display_name":"Diagonal","level":2,"score":0.44843193888664246},{"id":"https://openalex.org/C42011625","wikidata":"https://www.wikidata.org/wiki/Q1055058","display_name":"Fuzzy set","level":3,"score":0.4335397183895111},{"id":"https://openalex.org/C115961682","wikidata":"https://www.wikidata.org/wiki/Q860623","display_name":"Image (mathematics)","level":2,"score":0.4333706200122833},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.39169633388519287},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.3652735948562622},{"id":"https://openalex.org/C136119220","wikidata":"https://www.wikidata.org/wiki/Q1000660","display_name":"Algebra over a field","level":2,"score":0.3461449146270752},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.14522609114646912},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.116854727268219},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.06468844413757324},{"id":"https://openalex.org/C199360897","wikidata":"https://www.wikidata.org/wiki/Q9143","display_name":"Programming language","level":1,"score":0.0}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.1016/s0165-0114(97)00029-8","is_oa":false,"landing_page_url":"https://doi.org/10.1016/s0165-0114(97)00029-8","pdf_url":null,"source":{"id":"https://openalex.org/S169411308","display_name":"Fuzzy Sets and Systems","issn_l":"0165-0114","issn":["0165-0114","1872-6801"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320990","host_organization_name":"Elsevier BV","host_organization_lineage":["https://openalex.org/P4310320990"],"host_organization_lineage_names":["Elsevier BV"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Fuzzy Sets and Systems","raw_type":"journal-article"},{"id":"pmh:oai:archive.ugent.be:179708","is_oa":false,"landing_page_url":"https://biblio.ugent.be/publication/179708","pdf_url":null,"source":{"id":"https://openalex.org/S4306400478","display_name":"Ghent University Academic Bibliography (Ghent University)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I32597200","host_organization_name":"Ghent University","host_organization_lineage":["https://openalex.org/I32597200"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"ISSN: 0165-0114","raw_type":"info:eu-repo/semantics/publishedVersion"}],"best_oa_location":null,"sustainable_development_goals":[{"id":"https://metadata.un.org/sdg/10","score":0.75,"display_name":"Reduced inequalities"}],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":15,"referenced_works":["https://openalex.org/W1022021249","https://openalex.org/W1485625483","https://openalex.org/W1539331983","https://openalex.org/W1585300236","https://openalex.org/W1988799725","https://openalex.org/W2022183294","https://openalex.org/W2025835107","https://openalex.org/W2037640935","https://openalex.org/W2147235234","https://openalex.org/W2561891086","https://openalex.org/W2585247558","https://openalex.org/W2810934085","https://openalex.org/W2911632998","https://openalex.org/W2912565176","https://openalex.org/W4211007335"],"related_works":["https://openalex.org/W2141418112","https://openalex.org/W2949097972","https://openalex.org/W4299640900","https://openalex.org/W4225501230","https://openalex.org/W1486684451","https://openalex.org/W4361273540","https://openalex.org/W2099285375","https://openalex.org/W2801459815","https://openalex.org/W4361984403","https://openalex.org/W4317826560"],"abstract_inverted_index":null,"counts_by_year":[],"updated_date":"2026-04-04T16:13:02.066488","created_date":"2025-10-10T00:00:00"}