{"id":"https://openalex.org/W2050315930","doi":"https://doi.org/10.1109/fskd.2010.5569759","title":"A new decomposition of fuzzy continuity","display_name":"A new decomposition of fuzzy continuity","publication_year":2010,"publication_date":"2010-08-01","ids":{"openalex":"https://openalex.org/W2050315930","doi":"https://doi.org/10.1109/fskd.2010.5569759","mag":"2050315930"},"language":"en","primary_location":{"id":"doi:10.1109/fskd.2010.5569759","is_oa":false,"landing_page_url":"https://doi.org/10.1109/fskd.2010.5569759","pdf_url":null,"source":{"id":"https://openalex.org/S4363608217","display_name":"2010 Seventh International Conference on Fuzzy Systems and Knowledge Discovery","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":"conference"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2010 Seventh International Conference on Fuzzy Systems and Knowledge Discovery","raw_type":"proceedings-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/A5100611289","display_name":"Bin Chen","orcid":"https://orcid.org/0000-0001-8358-1186"},"institutions":[{"id":"https://openalex.org/I34949971","display_name":"University of Jinan","ror":"https://ror.org/02mjz6f26","country_code":"CN","type":"education","lineage":["https://openalex.org/I34949971"]}],"countries":["CN"],"is_corresponding":true,"raw_author_name":"Bin Chen","raw_affiliation_strings":["School of Science, University of Ji''nan, Jinan, China","School of Science,University of Jinan 250022,China)"],"affiliations":[{"raw_affiliation_string":"School of Science, University of Ji''nan, Jinan, China","institution_ids":["https://openalex.org/I34949971"]},{"raw_affiliation_string":"School of Science,University of Jinan 250022,China)","institution_ids":["https://openalex.org/I34949971"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5100657117","display_name":"Jinjin Li","orcid":"https://orcid.org/0000-0001-9947-6858"},"institutions":[{"id":"https://openalex.org/I4210149256","display_name":"Zhangzhou Vocational and Technical College","ror":"https://ror.org/03myvh511","country_code":"CN","type":"education","lineage":["https://openalex.org/I4210149256"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Jinjin Li","raw_affiliation_strings":["Department of Mathematics, Zhangzhou Teachers College, Zhengzhou, China","Department of Mathematics, Zhangzhou Teachers College, 363000, China"],"affiliations":[{"raw_affiliation_string":"Department of Mathematics, Zhangzhou Teachers College, Zhengzhou, China","institution_ids":["https://openalex.org/I4210149256"]},{"raw_affiliation_string":"Department of Mathematics, Zhangzhou Teachers College, 363000, China","institution_ids":["https://openalex.org/I4210149256"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5100611289"],"corresponding_institution_ids":["https://openalex.org/I34949971"],"apc_list":null,"apc_paid":null,"fwci":0.452,"has_fulltext":false,"cited_by_count":1,"citation_normalized_percentile":{"value":0.58592693,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":null,"biblio":{"volume":"i","issue":null,"first_page":"50","last_page":"53"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11671","display_name":"Fuzzy and Soft Set Theory","score":0.9997000098228455,"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/T11671","display_name":"Fuzzy and Soft Set Theory","score":0.9997000098228455,"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/T11727","display_name":"Advanced Algebra and Logic","score":0.9559000134468079,"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/T11063","display_name":"Rough Sets and Fuzzy Logic","score":0.9442999958992004,"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/fuzzy-logic","display_name":"Fuzzy logic","score":0.6636480689048767},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.6221051812171936},{"id":"https://openalex.org/keywords/fuzzy-classification","display_name":"Fuzzy classification","score":0.5755332708358765},{"id":"https://openalex.org/keywords/fuzzy-number","display_name":"Fuzzy number","score":0.558898389339447},{"id":"https://openalex.org/keywords/fuzzy-subalgebra","display_name":"Fuzzy subalgebra","score":0.5203965902328491},{"id":"https://openalex.org/keywords/fuzzy-measure-theory","display_name":"Fuzzy measure theory","score":0.5147359371185303},{"id":"https://openalex.org/keywords/fuzzy-set-operations","display_name":"Fuzzy set operations","score":0.5104073882102966},{"id":"https://openalex.org/keywords/fuzzy-set","display_name":"Fuzzy set","score":0.5083701014518738},{"id":"https://openalex.org/keywords/characterization","display_name":"Characterization (materials science)","score":0.496277391910553},{"id":"https://openalex.org/keywords/fuzzy-mathematics","display_name":"Fuzzy mathematics","score":0.49573028087615967},{"id":"https://openalex.org/keywords/decomposition","display_name":"Decomposition","score":0.4953867197036743},{"id":"https://openalex.org/keywords/fuzzy-associative-matrix","display_name":"Fuzzy associative matrix","score":0.4629192650318146},{"id":"https://openalex.org/keywords/defuzzification","display_name":"Defuzzification","score":0.44750627875328064},{"id":"https://openalex.org/keywords/type-2-fuzzy-sets-and-systems","display_name":"Type-2 fuzzy sets and systems","score":0.4393550157546997},{"id":"https://openalex.org/keywords/algebra-over-a-field","display_name":"Algebra over a field","score":0.41532397270202637},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.3897973895072937},{"id":"https://openalex.org/keywords/pure-mathematics","display_name":"Pure mathematics","score":0.3035910725593567},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.3033217489719391},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.23500704765319824},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.08345699310302734}],"concepts":[{"id":"https://openalex.org/C58166","wikidata":"https://www.wikidata.org/wiki/Q224821","display_name":"Fuzzy logic","level":2,"score":0.6636480689048767},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.6221051812171936},{"id":"https://openalex.org/C127385683","wikidata":"https://www.wikidata.org/wiki/Q1475696","display_name":"Fuzzy classification","level":4,"score":0.5755332708358765},{"id":"https://openalex.org/C1883856","wikidata":"https://www.wikidata.org/wiki/Q3407463","display_name":"Fuzzy number","level":4,"score":0.558898389339447},{"id":"https://openalex.org/C115740575","wikidata":"https://www.wikidata.org/wiki/Q5511136","display_name":"Fuzzy subalgebra","level":5,"score":0.5203965902328491},{"id":"https://openalex.org/C100516043","wikidata":"https://www.wikidata.org/wiki/Q4455138","display_name":"Fuzzy measure theory","level":5,"score":0.5147359371185303},{"id":"https://openalex.org/C148671577","wikidata":"https://www.wikidata.org/wiki/Q5511133","display_name":"Fuzzy set operations","level":4,"score":0.5104073882102966},{"id":"https://openalex.org/C42011625","wikidata":"https://www.wikidata.org/wiki/Q1055058","display_name":"Fuzzy set","level":3,"score":0.5083701014518738},{"id":"https://openalex.org/C2780841128","wikidata":"https://www.wikidata.org/wiki/Q5073781","display_name":"Characterization (materials science)","level":2,"score":0.496277391910553},{"id":"https://openalex.org/C166586474","wikidata":"https://www.wikidata.org/wiki/Q5511129","display_name":"Fuzzy mathematics","level":5,"score":0.49573028087615967},{"id":"https://openalex.org/C124681953","wikidata":"https://www.wikidata.org/wiki/Q339062","display_name":"Decomposition","level":2,"score":0.4953867197036743},{"id":"https://openalex.org/C144170203","wikidata":"https://www.wikidata.org/wiki/Q5511099","display_name":"Fuzzy associative matrix","level":5,"score":0.4629192650318146},{"id":"https://openalex.org/C170260401","wikidata":"https://www.wikidata.org/wiki/Q5251735","display_name":"Defuzzification","level":5,"score":0.44750627875328064},{"id":"https://openalex.org/C17350324","wikidata":"https://www.wikidata.org/wiki/Q7860605","display_name":"Type-2 fuzzy sets and systems","level":5,"score":0.4393550157546997},{"id":"https://openalex.org/C136119220","wikidata":"https://www.wikidata.org/wiki/Q1000660","display_name":"Algebra over a field","level":2,"score":0.41532397270202637},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.3897973895072937},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.3035910725593567},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.3033217489719391},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.23500704765319824},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.08345699310302734},{"id":"https://openalex.org/C18903297","wikidata":"https://www.wikidata.org/wiki/Q7150","display_name":"Ecology","level":1,"score":0.0},{"id":"https://openalex.org/C86803240","wikidata":"https://www.wikidata.org/wiki/Q420","display_name":"Biology","level":0,"score":0.0},{"id":"https://openalex.org/C120665830","wikidata":"https://www.wikidata.org/wiki/Q14620","display_name":"Optics","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1109/fskd.2010.5569759","is_oa":false,"landing_page_url":"https://doi.org/10.1109/fskd.2010.5569759","pdf_url":null,"source":{"id":"https://openalex.org/S4363608217","display_name":"2010 Seventh International Conference on Fuzzy Systems and Knowledge Discovery","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":"conference"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2010 Seventh International Conference on Fuzzy Systems and Knowledge Discovery","raw_type":"proceedings-article"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":23,"referenced_works":["https://openalex.org/W2063141","https://openalex.org/W64077981","https://openalex.org/W1525846291","https://openalex.org/W1700944766","https://openalex.org/W1966339503","https://openalex.org/W1972705251","https://openalex.org/W1974290040","https://openalex.org/W1985176582","https://openalex.org/W1988233222","https://openalex.org/W2001406223","https://openalex.org/W2002541167","https://openalex.org/W2015136970","https://openalex.org/W2032709199","https://openalex.org/W2035643562","https://openalex.org/W2036104856","https://openalex.org/W2039511979","https://openalex.org/W2042102499","https://openalex.org/W2050442836","https://openalex.org/W2091835831","https://openalex.org/W2912565176","https://openalex.org/W4211007335","https://openalex.org/W4252277893","https://openalex.org/W6807272582"],"related_works":["https://openalex.org/W2037428035","https://openalex.org/W2116819400","https://openalex.org/W1963942578","https://openalex.org/W2048452567","https://openalex.org/W1967467384","https://openalex.org/W4242545108","https://openalex.org/W2075305841","https://openalex.org/W2365416574","https://openalex.org/W2116600453","https://openalex.org/W2466052371"],"abstract_inverted_index":{"In":[0],"this":[1],"paper,":[2],"we":[3,42,62],"introduce":[4],"and":[5,20,54],"study":[6],"the":[7,24,44],"notion":[8,45],"of":[9,46,56,66],"fuzzy":[10,18,21,25,47,51,67,71],"b-I-open":[11,52],"sets,":[12],"which":[13],"is":[14],"properly":[15],"placed":[16],"between":[17],"openness":[19],"b-openness":[22],"regardless":[23],"topological":[26],"ideal.":[27],"We":[28],"deduce":[29],"some":[30,55],"characterization":[31],"theorems":[32],"for":[33],"such":[34],"concepts":[35],"exactly":[36],"analogous":[37],"to":[38],"general":[39],"topology.":[40],"And":[41],"define":[43],"b-I-continuous":[48,72],"function":[49],"via":[50],"sets":[53],"its":[57],"properties":[58],"are":[59],"investigated.":[60],"Moreover,":[61],"give":[63],"a":[64],"decomposition":[65],"continuity":[68],"by":[69],"using":[70],"function.":[73]},"counts_by_year":[],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}