{"id":"https://openalex.org/W2007620983","doi":"https://doi.org/10.1007/s00500-009-0465-6","title":"Soft sets combined with fuzzy sets and rough sets: a tentative approach","display_name":"Soft sets combined with fuzzy sets and rough sets: a tentative approach","publication_year":2009,"publication_date":"2009-06-26","ids":{"openalex":"https://openalex.org/W2007620983","doi":"https://doi.org/10.1007/s00500-009-0465-6","mag":"2007620983"},"language":"en","primary_location":{"id":"doi:10.1007/s00500-009-0465-6","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s00500-009-0465-6","pdf_url":null,"source":{"id":"https://openalex.org/S65753830","display_name":"Soft Computing","issn_l":"1432-7643","issn":["1432-7643","1433-7479"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319900","host_organization_name":"Springer Science+Business Media","host_organization_lineage":["https://openalex.org/P4310319900","https://openalex.org/P4310319965"],"host_organization_lineage_names":["Springer Science+Business Media","Springer Nature"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Soft Computing","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/A5067979742","display_name":"Feng Feng","orcid":"https://orcid.org/0000-0002-8876-3090"},"institutions":[{"id":"https://openalex.org/I4210136859","display_name":"Xi\u2019an University of Posts and Telecommunications","ror":"https://ror.org/04jn0td46","country_code":"CN","type":"education","lineage":["https://openalex.org/I4210136859"]}],"countries":["CN"],"is_corresponding":true,"raw_author_name":"Feng Feng","raw_affiliation_strings":["Department of Applied Mathematics and Applied Physics, Xi\u2019an Institute of Posts and Telecommunications, 710061, Xi\u2019an, People\u2019s Republic of China","Department of Applied Mathematics and Applied Physics, Xi'an Institute of Posts and Telecommunications, Xi'an, People's Republic of China 710061#TAB#"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Applied Mathematics and Applied Physics, Xi\u2019an Institute of Posts and Telecommunications, 710061, Xi\u2019an, People\u2019s Republic of China","institution_ids":["https://openalex.org/I4210136859"]},{"raw_affiliation_string":"Department of Applied Mathematics and Applied Physics, Xi'an Institute of Posts and Telecommunications, Xi'an, People's Republic of China 710061#TAB#","institution_ids":["https://openalex.org/I4210136859"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5101663039","display_name":"Changxing Li","orcid":"https://orcid.org/0000-0002-1358-3861"},"institutions":[{"id":"https://openalex.org/I4210136859","display_name":"Xi\u2019an University of Posts and Telecommunications","ror":"https://ror.org/04jn0td46","country_code":"CN","type":"education","lineage":["https://openalex.org/I4210136859"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Changxing Li","raw_affiliation_strings":["Department of Applied Mathematics and Applied Physics, Xi\u2019an Institute of Posts and Telecommunications, 710061, Xi\u2019an, People\u2019s Republic of China","Department of Applied Mathematics and Applied Physics, Xi'an Institute of Posts and Telecommunications, Xi'an, People's Republic of China 710061#TAB#"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Applied Mathematics and Applied Physics, Xi\u2019an Institute of Posts and Telecommunications, 710061, Xi\u2019an, People\u2019s Republic of China","institution_ids":["https://openalex.org/I4210136859"]},{"raw_affiliation_string":"Department of Applied Mathematics and Applied Physics, Xi'an Institute of Posts and Telecommunications, Xi'an, People's Republic of China 710061#TAB#","institution_ids":["https://openalex.org/I4210136859"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5012148158","display_name":"Bijan Davvaz","orcid":"https://orcid.org/0000-0003-1941-5372"},"institutions":[{"id":"https://openalex.org/I112536369","display_name":"Yazd University","ror":"https://ror.org/02x99ac45","country_code":"IR","type":"education","lineage":["https://openalex.org/I112536369"]}],"countries":["IR"],"is_corresponding":false,"raw_author_name":"B. Davvaz","raw_affiliation_strings":["Department of Mathematics, Yazd University, Yazd, Iran","Department of Mathematics, Yazd University, Yazd, Iran#TAB#"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Mathematics, Yazd University, Yazd, Iran","institution_ids":["https://openalex.org/I112536369"]},{"raw_affiliation_string":"Department of Mathematics, Yazd University, Yazd, Iran#TAB#","institution_ids":["https://openalex.org/I112536369"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5051834568","display_name":"Muhammad \u0130rfan Ali","orcid":"https://orcid.org/0000-0002-9454-6324"},"institutions":[{"id":"https://openalex.org/I12469534","display_name":"Quaid-i-Azam University","ror":"https://ror.org/04s9hft57","country_code":"PK","type":"education","lineage":["https://openalex.org/I12469534"]}],"countries":["PK"],"is_corresponding":false,"raw_author_name":"M. Irfan Ali","raw_affiliation_strings":["Department of Mathematics, Quaid-i-Azam University, Islamabad, Pakistan","Department of Mathematics, Quaid\u2010i\u2010Azam University, Islamabad, Pakistan"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Mathematics, Quaid-i-Azam University, Islamabad, Pakistan","institution_ids":["https://openalex.org/I12469534"]},{"raw_affiliation_string":"Department of Mathematics, Quaid\u2010i\u2010Azam University, Islamabad, Pakistan","institution_ids":["https://openalex.org/I12469534"]}]}],"institutions":[],"countries_distinct_count":3,"institutions_distinct_count":3,"corresponding_author_ids":["https://openalex.org/A5067979742"],"corresponding_institution_ids":["https://openalex.org/I4210136859"],"apc_list":{"value":3190,"currency":"USD","value_usd":3190},"apc_paid":null,"fwci":18.7832,"has_fulltext":false,"cited_by_count":671,"citation_normalized_percentile":{"value":0.99575442,"is_in_top_1_percent":true,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":99,"max":100},"biblio":{"volume":"14","issue":"9","first_page":"899","last_page":"911"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11063","display_name":"Rough Sets and Fuzzy Logic","score":0.9994999766349792,"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"}},"topics":[{"id":"https://openalex.org/T11063","display_name":"Rough Sets and Fuzzy Logic","score":0.9994999766349792,"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/T11671","display_name":"Fuzzy and Soft Set Theory","score":0.9979000091552734,"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":0.9919000267982483,"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/rough-set","display_name":"Rough set","score":0.8770613670349121},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.635385274887085},{"id":"https://openalex.org/keywords/fuzzy-set","display_name":"Fuzzy set","score":0.628108024597168},{"id":"https://openalex.org/keywords/soft-computing","display_name":"Soft computing","score":0.6278308629989624},{"id":"https://openalex.org/keywords/dominance-based-rough-set-approach","display_name":"Dominance-based rough set approach","score":0.6133231520652771},{"id":"https://openalex.org/keywords/soft-set","display_name":"Soft set","score":0.5365676283836365},{"id":"https://openalex.org/keywords/equivalence-relation","display_name":"Equivalence relation","score":0.5082604289054871},{"id":"https://openalex.org/keywords/fuzzy-logic","display_name":"Fuzzy logic","score":0.5018534660339355},{"id":"https://openalex.org/keywords/type-2-fuzzy-sets-and-systems","display_name":"Type-2 fuzzy sets and systems","score":0.4664700925350189},{"id":"https://openalex.org/keywords/fuzzy-set-operations","display_name":"Fuzzy set operations","score":0.41912150382995605},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.35448503494262695},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.30880260467529297},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.3052161931991577}],"concepts":[{"id":"https://openalex.org/C111012933","wikidata":"https://www.wikidata.org/wiki/Q3137210","display_name":"Rough set","level":2,"score":0.8770613670349121},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.635385274887085},{"id":"https://openalex.org/C42011625","wikidata":"https://www.wikidata.org/wiki/Q1055058","display_name":"Fuzzy set","level":3,"score":0.628108024597168},{"id":"https://openalex.org/C140073362","wikidata":"https://www.wikidata.org/wiki/Q738759","display_name":"Soft computing","level":3,"score":0.6278308629989624},{"id":"https://openalex.org/C39105242","wikidata":"https://www.wikidata.org/wiki/Q5290286","display_name":"Dominance-based rough set approach","level":3,"score":0.6133231520652771},{"id":"https://openalex.org/C2777037408","wikidata":"https://www.wikidata.org/wiki/Q4310193","display_name":"Soft set","level":3,"score":0.5365676283836365},{"id":"https://openalex.org/C156103551","wikidata":"https://www.wikidata.org/wiki/Q130998","display_name":"Equivalence relation","level":2,"score":0.5082604289054871},{"id":"https://openalex.org/C58166","wikidata":"https://www.wikidata.org/wiki/Q224821","display_name":"Fuzzy logic","level":2,"score":0.5018534660339355},{"id":"https://openalex.org/C17350324","wikidata":"https://www.wikidata.org/wiki/Q7860605","display_name":"Type-2 fuzzy sets and systems","level":5,"score":0.4664700925350189},{"id":"https://openalex.org/C148671577","wikidata":"https://www.wikidata.org/wiki/Q5511133","display_name":"Fuzzy set operations","level":4,"score":0.41912150382995605},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.35448503494262695},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.30880260467529297},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.3052161931991577}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1007/s00500-009-0465-6","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s00500-009-0465-6","pdf_url":null,"source":{"id":"https://openalex.org/S65753830","display_name":"Soft Computing","issn_l":"1432-7643","issn":["1432-7643","1433-7479"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319900","host_organization_name":"Springer Science+Business Media","host_organization_lineage":["https://openalex.org/P4310319900","https://openalex.org/P4310319965"],"host_organization_lineage_names":["Springer Science+Business Media","Springer Nature"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Soft Computing","raw_type":"journal-article"}],"best_oa_location":null,"sustainable_development_goals":[{"id":"https://metadata.un.org/sdg/13","display_name":"Climate action","score":0.4099999964237213}],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":29,"referenced_works":["https://openalex.org/W202649520","https://openalex.org/W1503729935","https://openalex.org/W1557923305","https://openalex.org/W1586066135","https://openalex.org/W1965388297","https://openalex.org/W1974719612","https://openalex.org/W1978352585","https://openalex.org/W1979152784","https://openalex.org/W1982907249","https://openalex.org/W1985776806","https://openalex.org/W1989832241","https://openalex.org/W1992301326","https://openalex.org/W2002680690","https://openalex.org/W2027654459","https://openalex.org/W2051264127","https://openalex.org/W2069754181","https://openalex.org/W2071796503","https://openalex.org/W2083267403","https://openalex.org/W2095209150","https://openalex.org/W2139250924","https://openalex.org/W2143451122","https://openalex.org/W2263787491","https://openalex.org/W2340020088","https://openalex.org/W2912565176","https://openalex.org/W2914206936","https://openalex.org/W4211007335","https://openalex.org/W4255318870","https://openalex.org/W4255833381","https://openalex.org/W4285719527"],"related_works":["https://openalex.org/W2076245459","https://openalex.org/W2156982617","https://openalex.org/W2811336963","https://openalex.org/W2158629008","https://openalex.org/W2314966097","https://openalex.org/W2901036476","https://openalex.org/W2555953341","https://openalex.org/W2287615047","https://openalex.org/W3133886169","https://openalex.org/W2052027214"],"abstract_inverted_index":null,"counts_by_year":[{"year":2026,"cited_by_count":12},{"year":2025,"cited_by_count":33},{"year":2024,"cited_by_count":33},{"year":2023,"cited_by_count":62},{"year":2022,"cited_by_count":43},{"year":2021,"cited_by_count":64},{"year":2020,"cited_by_count":57},{"year":2019,"cited_by_count":47},{"year":2018,"cited_by_count":50},{"year":2017,"cited_by_count":37},{"year":2016,"cited_by_count":41},{"year":2015,"cited_by_count":46},{"year":2014,"cited_by_count":48},{"year":2013,"cited_by_count":40},{"year":2012,"cited_by_count":24}],"updated_date":"2026-08-28T12:50:07.497085","created_date":"2025-10-10T00:00:00"}