{"id":"https://openalex.org/W2921816789","doi":"https://doi.org/10.14736/kyb-2019-1-0044","title":"Towards the properties of fuzzy multiplication for fuzzy numbers","display_name":"Towards the properties of fuzzy multiplication for fuzzy numbers","publication_year":2019,"publication_date":"2019-03-10","ids":{"openalex":"https://openalex.org/W2921816789","doi":"https://doi.org/10.14736/kyb-2019-1-0044","mag":"2921816789"},"language":"en","primary_location":{"id":"doi:10.14736/kyb-2019-1-0044","is_oa":false,"landing_page_url":"https://doi.org/10.14736/kyb-2019-1-0044","pdf_url":null,"source":{"id":"https://openalex.org/S158577884","display_name":"Kybernetika","issn_l":"0023-5954","issn":["0023-5954","1805-949X"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310314340","host_organization_name":"Institute of Information Theory and Automation of the Czech Academy of Sciences","host_organization_lineage":["https://openalex.org/P4310314340","https://openalex.org/P4310314171"],"host_organization_lineage_names":["Institute of Information Theory and Automation of the Czech Academy of Sciences","Czech Academy of Sciences"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Kybernetika","raw_type":"journal-article"},"type":"article","indexed_in":["crossref"],"open_access":{"is_oa":true,"oa_status":"green","oa_url":"http://dml.cz/bitstream/handle/10338.dmlcz/147705/Kybernetika_55-2019-1_4.pdf","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5067906460","display_name":"Alexandru Mihai Bica","orcid":"https://orcid.org/0000-0003-1869-9991"},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Alexandru Mihai Bica","raw_affiliation_strings":[],"raw_orcid":null,"affiliations":[]},{"author_position":"middle","author":{"id":"https://openalex.org/A5053393977","display_name":"Dorina Fechete","orcid":null},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Dorina Fechete","raw_affiliation_strings":[],"raw_orcid":null,"affiliations":[]},{"author_position":"last","author":{"id":"https://openalex.org/A5065992554","display_name":"Ioan Fechete","orcid":null},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Ioan Fechete","raw_affiliation_strings":[],"raw_orcid":null,"affiliations":[]}],"institutions":[],"countries_distinct_count":0,"institutions_distinct_count":0,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":0.2084,"has_fulltext":true,"cited_by_count":3,"citation_normalized_percentile":{"value":0.51091673,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":96},"biblio":{"volume":null,"issue":null,"first_page":"44","last_page":"62"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T12135","display_name":"Fuzzy Systems and Optimization","score":0.9757999777793884,"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"}},"topics":[{"id":"https://openalex.org/T12135","display_name":"Fuzzy Systems and Optimization","score":0.9757999777793884,"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/T11697","display_name":"Numerical Methods and Algorithms","score":0.9412999749183655,"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/multiplication","display_name":"Multiplication (music)","score":0.7825751900672913},{"id":"https://openalex.org/keywords/fuzzy-logic","display_name":"Fuzzy logic","score":0.6405818462371826},{"id":"https://openalex.org/keywords/fuzzy-number","display_name":"Fuzzy number","score":0.5736345648765564},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.485400527715683},{"id":"https://openalex.org/keywords/arithmetic","display_name":"Arithmetic","score":0.4641818404197693},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.4486147463321686},{"id":"https://openalex.org/keywords/fuzzy-classification","display_name":"Fuzzy classification","score":0.4283342957496643},{"id":"https://openalex.org/keywords/fuzzy-set","display_name":"Fuzzy set","score":0.3625388741493225},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.3622801899909973},{"id":"https://openalex.org/keywords/algebra-over-a-field","display_name":"Algebra over a field","score":0.34701007604599},{"id":"https://openalex.org/keywords/pure-mathematics","display_name":"Pure mathematics","score":0.15727746486663818},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.07648739218711853}],"concepts":[{"id":"https://openalex.org/C2780595030","wikidata":"https://www.wikidata.org/wiki/Q3860309","display_name":"Multiplication (music)","level":2,"score":0.7825751900672913},{"id":"https://openalex.org/C58166","wikidata":"https://www.wikidata.org/wiki/Q224821","display_name":"Fuzzy logic","level":2,"score":0.6405818462371826},{"id":"https://openalex.org/C1883856","wikidata":"https://www.wikidata.org/wiki/Q3407463","display_name":"Fuzzy number","level":4,"score":0.5736345648765564},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.485400527715683},{"id":"https://openalex.org/C94375191","wikidata":"https://www.wikidata.org/wiki/Q11205","display_name":"Arithmetic","level":1,"score":0.4641818404197693},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.4486147463321686},{"id":"https://openalex.org/C127385683","wikidata":"https://www.wikidata.org/wiki/Q1475696","display_name":"Fuzzy classification","level":4,"score":0.4283342957496643},{"id":"https://openalex.org/C42011625","wikidata":"https://www.wikidata.org/wiki/Q1055058","display_name":"Fuzzy set","level":3,"score":0.3625388741493225},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.3622801899909973},{"id":"https://openalex.org/C136119220","wikidata":"https://www.wikidata.org/wiki/Q1000660","display_name":"Algebra over a field","level":2,"score":0.34701007604599},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.15727746486663818},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.07648739218711853}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.14736/kyb-2019-1-0044","is_oa":false,"landing_page_url":"https://doi.org/10.14736/kyb-2019-1-0044","pdf_url":null,"source":{"id":"https://openalex.org/S158577884","display_name":"Kybernetika","issn_l":"0023-5954","issn":["0023-5954","1805-949X"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310314340","host_organization_name":"Institute of Information Theory and Automation of the Czech Academy of Sciences","host_organization_lineage":["https://openalex.org/P4310314340","https://openalex.org/P4310314171"],"host_organization_lineage_names":["Institute of Information Theory and Automation of the Czech Academy of Sciences","Czech Academy of Sciences"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Kybernetika","raw_type":"journal-article"},{"id":"pmh:oai:oai.dml.cz:10338.dmlcz/147705","is_oa":true,"landing_page_url":"http://hdl.handle.net/10338.dmlcz/147705","pdf_url":"http://dml.cz/bitstream/handle/10338.dmlcz/147705/Kybernetika_55-2019-1_4.pdf","source":{"id":"https://openalex.org/S4406922294","display_name":"Czech digital mathematics library","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":"type:math"}],"best_oa_location":{"id":"pmh:oai:oai.dml.cz:10338.dmlcz/147705","is_oa":true,"landing_page_url":"http://hdl.handle.net/10338.dmlcz/147705","pdf_url":"http://dml.cz/bitstream/handle/10338.dmlcz/147705/Kybernetika_55-2019-1_4.pdf","source":{"id":"https://openalex.org/S4406922294","display_name":"Czech digital mathematics library","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":"type:math"},"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"grobid_xml":true,"pdf":true},"content_urls":{"pdf":"https://content.openalex.org/works/W2921816789.pdf","grobid_xml":"https://content.openalex.org/works/W2921816789.grobid-xml"},"referenced_works_count":35,"referenced_works":["https://openalex.org/W42764336","https://openalex.org/W66949289","https://openalex.org/W167005905","https://openalex.org/W565587792","https://openalex.org/W940499644","https://openalex.org/W1527362725","https://openalex.org/W1549880700","https://openalex.org/W1560208207","https://openalex.org/W1598774637","https://openalex.org/W1757805781","https://openalex.org/W1982194415","https://openalex.org/W1994178762","https://openalex.org/W1999933128","https://openalex.org/W2008418901","https://openalex.org/W2008536444","https://openalex.org/W2008755882","https://openalex.org/W2030698454","https://openalex.org/W2037258742","https://openalex.org/W2038020290","https://openalex.org/W2040225111","https://openalex.org/W2055663556","https://openalex.org/W2061229161","https://openalex.org/W2069069851","https://openalex.org/W2069608252","https://openalex.org/W2077530035","https://openalex.org/W2079869079","https://openalex.org/W2144873543","https://openalex.org/W2189611732","https://openalex.org/W2330022088","https://openalex.org/W2395352793","https://openalex.org/W2395767058","https://openalex.org/W2402181805","https://openalex.org/W2525609969","https://openalex.org/W2740950961","https://openalex.org/W2911454810"],"related_works":["https://openalex.org/W2090319426","https://openalex.org/W2036954759","https://openalex.org/W2057797376","https://openalex.org/W2506252583","https://openalex.org/W2048249848","https://openalex.org/W2260716361","https://openalex.org/W1987422982","https://openalex.org/W2029054571","https://openalex.org/W1486684451","https://openalex.org/W4361984403"],"abstract_inverted_index":{"summary:In":[0],"this":[1],"paper,":[2],"by":[3],"using":[4],"a":[5,41],"new":[6],"representation":[7],"of":[8,34,46,54],"fuzzy":[9,23,49,57],"numbers,":[10],"namely":[11],"the":[12,16,35,44,47,55],"ecart-representation,":[13],"we":[14],"investigate":[15],"possibility":[17],"to":[18],"consider":[19],"such":[20],"multiplication":[21,50],"between":[22],"numbers":[24],"that":[25],"is":[26],"fully":[27],"distributive.":[28],"The":[29,52],"algebraic":[30],"and":[31],"topological":[32],"properties":[33,45,53],"obtained":[36],"semiring":[37],"are":[38,59],"studied":[39],"making":[40],"comparison":[42],"with":[43],"existing":[48],"operations.":[51],"generated":[56],"power":[58],"investigated.":[60]},"counts_by_year":[{"year":2025,"cited_by_count":2},{"year":2021,"cited_by_count":1}],"updated_date":"2026-08-02T14:50:37.381335","created_date":"2025-10-10T00:00:00"}