{"id":"https://openalex.org/W4281638354","doi":"https://doi.org/10.3233/jifs-220762","title":"A short note on the category of soft sets","display_name":"A short note on the category of soft sets","publication_year":2022,"publication_date":"2022-05-27","ids":{"openalex":"https://openalex.org/W4281638354","doi":"https://doi.org/10.3233/jifs-220762"},"language":"en","primary_location":{"id":"doi:10.3233/jifs-220762","is_oa":false,"landing_page_url":"https://doi.org/10.3233/jifs-220762","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 &amp; 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/A5001319413","display_name":"M. Mobini","orcid":"https://orcid.org/0000-0002-0847-1478"},"institutions":[{"id":"https://openalex.org/I180634299","display_name":"University of Sistan and Baluchestan","ror":"https://ror.org/02n43xw86","country_code":"IR","type":"education","lineage":["https://openalex.org/I180634299"]}],"countries":["IR"],"is_corresponding":false,"raw_author_name":"M. Mobini","raw_affiliation_strings":["Department of Mathematics, University of Sistan and Baluchestan, Zahedan, Iran"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Mathematics, University of Sistan and Baluchestan, Zahedan, Iran","institution_ids":["https://openalex.org/I180634299"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5033103052","display_name":"Sun Shin Ahn","orcid":"https://orcid.org/0000-0003-4129-9814"},"institutions":[{"id":"https://openalex.org/I205490536","display_name":"Dongguk University","ror":"https://ror.org/057q6n778","country_code":"KR","type":"education","lineage":["https://openalex.org/I205490536"]}],"countries":["KR"],"is_corresponding":true,"raw_author_name":"S.S. Ahn","raw_affiliation_strings":["Department of Mathematics Education, Dongguk University, Seoul, Korea"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Mathematics Education, Dongguk University, Seoul, Korea","institution_ids":["https://openalex.org/I205490536"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5072356626","display_name":"R. A. Borzooei","orcid":"https://orcid.org/0000-0001-7538-7885"},"institutions":[{"id":"https://openalex.org/I48379061","display_name":"Shahid Beheshti University","ror":"https://ror.org/0091vmj44","country_code":"IR","type":"education","lineage":["https://openalex.org/I48379061"]}],"countries":["IR"],"is_corresponding":false,"raw_author_name":"R.A. Borzooei","raw_affiliation_strings":["Department of Mathematics, Shahid Beheshti University, Tehran, Iran"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Mathematics, Shahid Beheshti University, Tehran, Iran","institution_ids":["https://openalex.org/I48379061"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":3,"corresponding_author_ids":["https://openalex.org/A5033103052"],"corresponding_institution_ids":["https://openalex.org/I205490536"],"apc_list":null,"apc_paid":null,"fwci":0.0,"has_fulltext":false,"cited_by_count":0,"citation_normalized_percentile":{"value":0.06552717,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":null,"biblio":{"volume":"43","issue":"4","first_page":"5215","last_page":"5219"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11671","display_name":"Fuzzy and Soft Set Theory","score":0.998199999332428,"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":0.998199999332428,"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/T11063","display_name":"Rough Sets and Fuzzy Logic","score":0.9624000191688538,"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/T11727","display_name":"Advanced Algebra and Logic","score":0.9455000162124634,"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/mistake","display_name":"Mistake","score":0.8327345848083496},{"id":"https://openalex.org/keywords/soft-set","display_name":"Soft set","score":0.789542555809021},{"id":"https://openalex.org/keywords/set","display_name":"Set (abstract data type)","score":0.5677568912506104},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.4917340576648712},{"id":"https://openalex.org/keywords/set-theory","display_name":"Set theory","score":0.48022088408470154},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.46919912099838257},{"id":"https://openalex.org/keywords/calculus","display_name":"Calculus (dental)","score":0.36549848318099976},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.23051846027374268},{"id":"https://openalex.org/keywords/law","display_name":"Law","score":0.06389915943145752},{"id":"https://openalex.org/keywords/programming-language","display_name":"Programming language","score":0.05387946963310242}],"concepts":[{"id":"https://openalex.org/C2777179996","wikidata":"https://www.wikidata.org/wiki/Q911222","display_name":"Mistake","level":2,"score":0.8327345848083496},{"id":"https://openalex.org/C2777037408","wikidata":"https://www.wikidata.org/wiki/Q4310193","display_name":"Soft set","level":3,"score":0.789542555809021},{"id":"https://openalex.org/C177264268","wikidata":"https://www.wikidata.org/wiki/Q1514741","display_name":"Set (abstract data type)","level":2,"score":0.5677568912506104},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.4917340576648712},{"id":"https://openalex.org/C153046414","wikidata":"https://www.wikidata.org/wiki/Q12482","display_name":"Set theory","level":3,"score":0.48022088408470154},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.46919912099838257},{"id":"https://openalex.org/C2777686260","wikidata":"https://www.wikidata.org/wiki/Q144037","display_name":"Calculus (dental)","level":2,"score":0.36549848318099976},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.23051846027374268},{"id":"https://openalex.org/C199539241","wikidata":"https://www.wikidata.org/wiki/Q7748","display_name":"Law","level":1,"score":0.06389915943145752},{"id":"https://openalex.org/C199360897","wikidata":"https://www.wikidata.org/wiki/Q9143","display_name":"Programming language","level":1,"score":0.05387946963310242},{"id":"https://openalex.org/C199343813","wikidata":"https://www.wikidata.org/wiki/Q12128","display_name":"Dentistry","level":1,"score":0.0},{"id":"https://openalex.org/C58166","wikidata":"https://www.wikidata.org/wiki/Q224821","display_name":"Fuzzy logic","level":2,"score":0.0},{"id":"https://openalex.org/C71924100","wikidata":"https://www.wikidata.org/wiki/Q11190","display_name":"Medicine","level":0,"score":0.0},{"id":"https://openalex.org/C17744445","wikidata":"https://www.wikidata.org/wiki/Q36442","display_name":"Political science","level":0,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.3233/jifs-220762","is_oa":false,"landing_page_url":"https://doi.org/10.3233/jifs-220762","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 &amp; Fuzzy Systems","raw_type":"journal-article"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":4,"referenced_works":["https://openalex.org/W1512489386","https://openalex.org/W1978352585","https://openalex.org/W2321795892","https://openalex.org/W4211007335"],"related_works":["https://openalex.org/W2084997575","https://openalex.org/W2794355963","https://openalex.org/W4206905038","https://openalex.org/W3195275898","https://openalex.org/W3160204816","https://openalex.org/W2605097162","https://openalex.org/W4220778057","https://openalex.org/W2522724003","https://openalex.org/W4288081155","https://openalex.org/W3116714697"],"abstract_inverted_index":{"Molodtsov,":[0],"initiated":[1],"the":[2,22,32,41,57],"concept":[3],"of":[4,27,34,43,59],"soft":[5,35,44],"set":[6],"theory,":[7],"which":[8],"can":[9],"be":[10],"used":[11],"as":[12],"a":[13,54,68],"generic":[14],"mathematical":[15],"tool":[16],"for":[17,71],"dealing":[18],"with":[19],"uncertainty.":[20],"In":[21,62],"paper":[23],"entitled":[24],"\u201cThe":[25],"Category":[26],"Soft":[28],"Sets\u201d,":[29],"we":[30,38,66],"studied":[31],"category":[33,42],"sets,":[36],"and":[37],"proved":[39],"that":[40],"sets":[45],"does":[46],"not":[47],"necessarily":[48],"have":[49],"products.":[50],"But,":[51],"there":[52],"is":[53],"mistake":[55],"in":[56],"proof":[58,70],"this":[60,63,72],"result.":[61,73],"short":[64],"note,":[65],"give":[67],"correct":[69]},"counts_by_year":[],"updated_date":"2026-07-30T17:31:21.811387","created_date":"2025-10-10T00:00:00"}
