{"id":"https://openalex.org/W2059606062","doi":"https://doi.org/10.1109/fskd.2010.5569722","title":"Continuity in an intuitionistic fuzzy normed space","display_name":"Continuity in an intuitionistic fuzzy normed space","publication_year":2010,"publication_date":"2010-08-01","ids":{"openalex":"https://openalex.org/W2059606062","doi":"https://doi.org/10.1109/fskd.2010.5569722","mag":"2059606062"},"language":"en","primary_location":{"id":"doi:10.1109/fskd.2010.5569722","is_oa":false,"landing_page_url":"https://doi.org/10.1109/fskd.2010.5569722","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/A5028253579","display_name":"SI Hai-yan","orcid":null},"institutions":[{"id":"https://openalex.org/I88830068","display_name":"Shaanxi Normal University","ror":"https://ror.org/0170z8493","country_code":"CN","type":"education","lineage":["https://openalex.org/I88830068"]}],"countries":["CN"],"is_corresponding":true,"raw_author_name":"Hai-Yan Si","raw_affiliation_strings":["College of Mathematics and Information Science, Shaanxi Normal University, Xi'an, China","College of Mathematics and Information Science, Shaanxi Normal University, Xi\u2019an 710062 China"],"affiliations":[{"raw_affiliation_string":"College of Mathematics and Information Science, Shaanxi Normal University, Xi'an, China","institution_ids":["https://openalex.org/I88830068"]},{"raw_affiliation_string":"College of Mathematics and Information Science, Shaanxi Normal University, Xi\u2019an 710062 China","institution_ids":["https://openalex.org/I88830068"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5100936157","display_name":"Cao Huai-xin","orcid":null},"institutions":[{"id":"https://openalex.org/I88830068","display_name":"Shaanxi Normal University","ror":"https://ror.org/0170z8493","country_code":"CN","type":"education","lineage":["https://openalex.org/I88830068"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Huai-Xin Cao","raw_affiliation_strings":["College of Mathematics and Information Science, Shaanxi Normal University, Xi'an, China","College of Mathematics and Information Science, Shaanxi Normal University, Xi\u2019an 710062 China"],"affiliations":[{"raw_affiliation_string":"College of Mathematics and Information Science, Shaanxi Normal University, Xi'an, China","institution_ids":["https://openalex.org/I88830068"]},{"raw_affiliation_string":"College of Mathematics and Information Science, Shaanxi Normal University, Xi\u2019an 710062 China","institution_ids":["https://openalex.org/I88830068"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5046184504","display_name":"Ping Yang","orcid":"https://orcid.org/0000-0003-1791-6819"},"institutions":[{"id":"https://openalex.org/I88830068","display_name":"Shaanxi Normal University","ror":"https://ror.org/0170z8493","country_code":"CN","type":"education","lineage":["https://openalex.org/I88830068"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Ping Yang","raw_affiliation_strings":["College of Mathematics and Information Science, Shaanxi Normal University, Xi'an, China","College of Mathematics and Information Science, Shaanxi Normal University, Xi\u2019an 710062 China"],"affiliations":[{"raw_affiliation_string":"College of Mathematics and Information Science, Shaanxi Normal University, Xi'an, China","institution_ids":["https://openalex.org/I88830068"]},{"raw_affiliation_string":"College of Mathematics and Information Science, Shaanxi Normal University, Xi\u2019an 710062 China","institution_ids":["https://openalex.org/I88830068"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":3,"corresponding_author_ids":["https://openalex.org/A5028253579"],"corresponding_institution_ids":["https://openalex.org/I88830068"],"apc_list":null,"apc_paid":null,"fwci":0.0,"has_fulltext":false,"cited_by_count":3,"citation_normalized_percentile":{"value":0.33333333,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":90,"max":96},"biblio":{"volume":"3","issue":null,"first_page":"144","last_page":"148"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11777","display_name":"Fixed Point Theorems Analysis","score":0.9998999834060669,"subfield":{"id":"https://openalex.org/subfields/2608","display_name":"Geometry and Topology"},"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/T11777","display_name":"Fixed Point Theorems Analysis","score":0.9998999834060669,"subfield":{"id":"https://openalex.org/subfields/2608","display_name":"Geometry and Topology"},"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/T11671","display_name":"Fuzzy and Soft Set Theory","score":0.991100013256073,"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/T13080","display_name":"Advanced Differential Geometry Research","score":0.9674999713897705,"subfield":{"id":"https://openalex.org/subfields/3103","display_name":"Astronomy and Astrophysics"},"field":{"id":"https://openalex.org/fields/31","display_name":"Physics and Astronomy"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.7033131122589111},{"id":"https://openalex.org/keywords/normed-vector-space","display_name":"Normed vector space","score":0.690668523311615},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.521294355392456},{"id":"https://openalex.org/keywords/bounded-function","display_name":"Bounded function","score":0.47325044870376587},{"id":"https://openalex.org/keywords/fuzzy-set","display_name":"Fuzzy set","score":0.45879149436950684},{"id":"https://openalex.org/keywords/algebra-over-a-field","display_name":"Algebra over a field","score":0.4356761872768402},{"id":"https://openalex.org/keywords/bounded-operator","display_name":"Bounded operator","score":0.4258325695991516},{"id":"https://openalex.org/keywords/fuzzy-logic","display_name":"Fuzzy logic","score":0.39313244819641113},{"id":"https://openalex.org/keywords/pure-mathematics","display_name":"Pure mathematics","score":0.38790225982666016},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.1941804587841034},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.14390689134597778},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.1094660758972168}],"concepts":[{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.7033131122589111},{"id":"https://openalex.org/C171739935","wikidata":"https://www.wikidata.org/wiki/Q726210","display_name":"Normed vector space","level":2,"score":0.690668523311615},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.521294355392456},{"id":"https://openalex.org/C34388435","wikidata":"https://www.wikidata.org/wiki/Q2267362","display_name":"Bounded function","level":2,"score":0.47325044870376587},{"id":"https://openalex.org/C42011625","wikidata":"https://www.wikidata.org/wiki/Q1055058","display_name":"Fuzzy set","level":3,"score":0.45879149436950684},{"id":"https://openalex.org/C136119220","wikidata":"https://www.wikidata.org/wiki/Q1000660","display_name":"Algebra over a field","level":2,"score":0.4356761872768402},{"id":"https://openalex.org/C175454919","wikidata":"https://www.wikidata.org/wiki/Q2342396","display_name":"Bounded operator","level":3,"score":0.4258325695991516},{"id":"https://openalex.org/C58166","wikidata":"https://www.wikidata.org/wiki/Q224821","display_name":"Fuzzy logic","level":2,"score":0.39313244819641113},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.38790225982666016},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.1941804587841034},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.14390689134597778},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.1094660758972168}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1109/fskd.2010.5569722","is_oa":false,"landing_page_url":"https://doi.org/10.1109/fskd.2010.5569722","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":[{"id":"https://metadata.un.org/sdg/10","display_name":"Reduced inequalities","score":0.4699999988079071}],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":24,"referenced_works":["https://openalex.org/W1553283060","https://openalex.org/W1578450310","https://openalex.org/W1963660290","https://openalex.org/W1968172834","https://openalex.org/W1984710642","https://openalex.org/W1987761358","https://openalex.org/W1993465023","https://openalex.org/W2005433363","https://openalex.org/W2038300950","https://openalex.org/W2049442812","https://openalex.org/W2055788103","https://openalex.org/W2062069905","https://openalex.org/W2077884988","https://openalex.org/W2108625605","https://openalex.org/W2119311694","https://openalex.org/W2138046994","https://openalex.org/W2258894820","https://openalex.org/W2264424160","https://openalex.org/W2323958254","https://openalex.org/W2497207950","https://openalex.org/W2506970420","https://openalex.org/W2912565176","https://openalex.org/W4211007335","https://openalex.org/W6692352698"],"related_works":["https://openalex.org/W2053267586","https://openalex.org/W2141474714","https://openalex.org/W2006504135","https://openalex.org/W2278611972","https://openalex.org/W2616801909","https://openalex.org/W2015370161","https://openalex.org/W4297797135","https://openalex.org/W2269650322","https://openalex.org/W4395093651","https://openalex.org/W2166492445"],"abstract_inverted_index":{"In":[0],"this":[1],"paper,":[2],"we":[3],"prove":[4],"that":[5,45],"the":[6,46,56],"addition,":[7],"scalar":[8],"multiplication":[9],"and":[10,28,55],"intuitionistic":[11,16,25,34,50,60,67],"fuzzy":[12,17,26,35,51,61,68],"norm":[13],"in":[14],"an":[15,66],"normed":[18,36,69],"space":[19,70],"are":[20,38,73],"all":[21,49,59],"automatically":[22],"continuous.":[23],"The":[24],"continuity":[27],"boundedness":[29],"of":[30,48,58],"linear":[31,53,63],"operators":[32,54,64],"between":[33],"spaces":[37],"also":[39],"discussed.":[40],"Especially,":[41],"it":[42],"is":[43],"proved":[44],"set":[47,57],"continuous":[52],"bounded":[62],"from":[65],"into":[71],"another":[72],"vector":[74],"spaces.":[75]},"counts_by_year":[{"year":2019,"cited_by_count":2},{"year":2016,"cited_by_count":1}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}