{"id":"https://openalex.org/W2338672806","doi":"https://doi.org/10.3233/ifs-162143","title":"A note on fuzzy Hilbert spaces","display_name":"A note on fuzzy Hilbert spaces","publication_year":2016,"publication_date":"2016-06-13","ids":{"openalex":"https://openalex.org/W2338672806","doi":"https://doi.org/10.3233/ifs-162143","mag":"2338672806"},"language":"en","primary_location":{"id":"doi:10.3233/ifs-162143","is_oa":false,"landing_page_url":"https://doi.org/10.3233/ifs-162143","pdf_url":null,"source":{"id":"https://openalex.org/S179157397","display_name":"Journal of Intelligent & Fuzzy Systems","issn_l":"1064-1246","issn":["1064-1246","1875-8967"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310318577","host_organization_name":"IOS Press","host_organization_lineage":["https://openalex.org/P4310318577"],"host_organization_lineage_names":["IOS Press"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Journal of Intelligent & Fuzzy 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/A5057432790","display_name":"Bayaz Daraby","orcid":"https://orcid.org/0000-0001-6872-8661"},"institutions":[{"id":"https://openalex.org/I143318147","display_name":"University of Maragheh","ror":"https://ror.org/0037djy87","country_code":"IR","type":"education","lineage":["https://openalex.org/I143318147"]}],"countries":["IR"],"is_corresponding":true,"raw_author_name":"Bayaz Daraby","raw_affiliation_strings":["Department of Mathematics, University of Maragheh, Maragheh, Iran"],"affiliations":[{"raw_affiliation_string":"Department of Mathematics, University of Maragheh, Maragheh, Iran","institution_ids":["https://openalex.org/I143318147"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5070709044","display_name":"Zahra Solimani","orcid":null},"institutions":[{"id":"https://openalex.org/I143318147","display_name":"University of Maragheh","ror":"https://ror.org/0037djy87","country_code":"IR","type":"education","lineage":["https://openalex.org/I143318147"]}],"countries":["IR"],"is_corresponding":false,"raw_author_name":"Zahra Solimani","raw_affiliation_strings":["Department of Mathematics, University of Maragheh, Maragheh, Iran"],"affiliations":[{"raw_affiliation_string":"Department of Mathematics, University of Maragheh, Maragheh, Iran","institution_ids":["https://openalex.org/I143318147"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5051523108","display_name":"Asghar Rahimi","orcid":"https://orcid.org/0000-0003-2095-6811"},"institutions":[{"id":"https://openalex.org/I143318147","display_name":"University of Maragheh","ror":"https://ror.org/0037djy87","country_code":"IR","type":"education","lineage":["https://openalex.org/I143318147"]}],"countries":["IR"],"is_corresponding":false,"raw_author_name":"Asghar Rahimi","raw_affiliation_strings":["Department of Mathematics, University of Maragheh, Maragheh, Iran"],"affiliations":[{"raw_affiliation_string":"Department of Mathematics, University of Maragheh, Maragheh, Iran","institution_ids":["https://openalex.org/I143318147"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":3,"corresponding_author_ids":["https://openalex.org/A5057432790"],"corresponding_institution_ids":["https://openalex.org/I143318147"],"apc_list":null,"apc_paid":null,"fwci":2.284,"has_fulltext":false,"cited_by_count":10,"citation_normalized_percentile":{"value":0.86649045,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":90,"max":97},"biblio":{"volume":"31","issue":"1","first_page":"313","last_page":"319"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11777","display_name":"Fixed Point Theorems Analysis","score":0.9998000264167786,"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":0.9998000264167786,"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":0.9754999876022339,"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":0.9144999980926514,"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":0.7823871970176697},{"id":"https://openalex.org/keywords/inner-product-space","display_name":"Inner product space","score":0.7744158506393433},{"id":"https://openalex.org/keywords/hilbert-space","display_name":"Hilbert space","score":0.7363654375076294},{"id":"https://openalex.org/keywords/fuzzy-logic","display_name":"Fuzzy logic","score":0.6262661218643188},{"id":"https://openalex.org/keywords/hilbert-manifold","display_name":"Hilbert manifold","score":0.5283915400505066},{"id":"https://openalex.org/keywords/pure-mathematics","display_name":"Pure mathematics","score":0.47773095965385437},{"id":"https://openalex.org/keywords/product","display_name":"Product (mathematics)","score":0.44483089447021484},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.14099520444869995},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.08710333704948425},{"id":"https://openalex.org/keywords/geometry","display_name":"Geometry","score":0.07297307252883911}],"concepts":[{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.7823871970176697},{"id":"https://openalex.org/C91855343","wikidata":"https://www.wikidata.org/wiki/Q214159","display_name":"Inner product space","level":2,"score":0.7744158506393433},{"id":"https://openalex.org/C62799726","wikidata":"https://www.wikidata.org/wiki/Q190056","display_name":"Hilbert space","level":2,"score":0.7363654375076294},{"id":"https://openalex.org/C58166","wikidata":"https://www.wikidata.org/wiki/Q224821","display_name":"Fuzzy logic","level":2,"score":0.6262661218643188},{"id":"https://openalex.org/C147493315","wikidata":"https://www.wikidata.org/wiki/Q3554824","display_name":"Hilbert manifold","level":3,"score":0.5283915400505066},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.47773095965385437},{"id":"https://openalex.org/C90673727","wikidata":"https://www.wikidata.org/wiki/Q901718","display_name":"Product (mathematics)","level":2,"score":0.44483089447021484},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.14099520444869995},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.08710333704948425},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.07297307252883911}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.3233/ifs-162143","is_oa":false,"landing_page_url":"https://doi.org/10.3233/ifs-162143","pdf_url":null,"source":{"id":"https://openalex.org/S179157397","display_name":"Journal of Intelligent & Fuzzy Systems","issn_l":"1064-1246","issn":["1064-1246","1875-8967"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310318577","host_organization_name":"IOS Press","host_organization_lineage":["https://openalex.org/P4310318577"],"host_organization_lineage_names":["IOS Press"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Journal of Intelligent & Fuzzy Systems","raw_type":"journal-article"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":17,"referenced_works":["https://openalex.org/W1595873303","https://openalex.org/W1991265810","https://openalex.org/W2008230680","https://openalex.org/W2026008963","https://openalex.org/W2032769966","https://openalex.org/W2051242840","https://openalex.org/W2081416883","https://openalex.org/W2084211125","https://openalex.org/W2087517044","https://openalex.org/W2118194528","https://openalex.org/W2276266448","https://openalex.org/W2282400658","https://openalex.org/W2286851525","https://openalex.org/W3040603022","https://openalex.org/W6635800150","https://openalex.org/W6677452209","https://openalex.org/W6694868525"],"related_works":["https://openalex.org/W2012731963","https://openalex.org/W2141323058","https://openalex.org/W2964340678","https://openalex.org/W981804168","https://openalex.org/W2951423928","https://openalex.org/W2997948335","https://openalex.org/W1990683240","https://openalex.org/W3022157547","https://openalex.org/W4238451447","https://openalex.org/W4210743428"],"abstract_inverted_index":{"Recently,":[0],"Hasankhani":[1],"et":[2],"al.":[3],"proved":[4],"that":[5,34,47,72,113],"any":[6,35],"Felbin-fuzzy":[7,17,22,41,62,79,110],"inner":[8,18,107,111],"product":[9,19,108,112],"space":[10,20,38],"can":[11],"be":[12],"imbedded":[13],"in":[14,50],"a":[15,31,40,98],"complete":[16],"or":[21],"Hilbert":[23,37,42,52,63,80,89],"space.":[24],"In":[25],"this":[26],"paper,":[27],"it":[28,45,69],"is":[29,39,70,82],"showed":[30,71],"general":[32],"result":[33],"classical":[36,51,88],"space,":[43],"so":[44],"shows":[46,114],"all":[48],"results":[49,60],"spaces":[53,81],"are":[54,94],"immediate":[55],"consequences":[56],"of":[57,75,78,87,105],"the":[58,73,76,85,92,118],"corresponding":[59],"for":[61],"spaces.":[64,90],"Moreover":[65],"by":[66],"an":[67,102],"example,":[68],"spectrum":[74],"category":[77,86],"broader":[83],"than":[84],"Finally":[91],"authors":[93],"able":[95],"to":[96,116],"state":[97],"transformation":[99],"theorem":[100],"from":[101],"ascending":[103],"family":[104],"crisp":[106],"into":[109],"how":[115],"formulate":[117],"recent":[119],"results.":[120]},"counts_by_year":[{"year":2024,"cited_by_count":1},{"year":2021,"cited_by_count":2},{"year":2020,"cited_by_count":3},{"year":2019,"cited_by_count":3},{"year":2018,"cited_by_count":1}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}