{"id":"https://openalex.org/W2247313179","doi":"https://doi.org/10.1109/fskd.2015.7381944","title":"Generalized soft intuitionistic fuzzy rough sets determined by a pair of intuitionistic fuzzy implicators","display_name":"Generalized soft intuitionistic fuzzy rough sets determined by a pair of intuitionistic fuzzy implicators","publication_year":2015,"publication_date":"2015-08-01","ids":{"openalex":"https://openalex.org/W2247313179","doi":"https://doi.org/10.1109/fskd.2015.7381944","mag":"2247313179"},"language":"en","primary_location":{"id":"doi:10.1109/fskd.2015.7381944","is_oa":false,"landing_page_url":"https://doi.org/10.1109/fskd.2015.7381944","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2015 12th International Conference on Fuzzy Systems and Knowledge Discovery (FSKD)","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/A5011945467","display_name":"Wenkai Shao","orcid":"https://orcid.org/0000-0002-0305-2848"},"institutions":[{"id":"https://openalex.org/I4210131342","display_name":"Yibin University","ror":"https://ror.org/03w8m2977","country_code":"CN","type":"education","lineage":["https://openalex.org/I4210131342"]},{"id":"https://openalex.org/I4402553992","display_name":"Yibin Vocational and Technical College","ror":"https://ror.org/02qmrr889","country_code":null,"type":"education","lineage":["https://openalex.org/I4402553992"]}],"countries":["CN"],"is_corresponding":true,"raw_author_name":"Wenkai Shao","raw_affiliation_strings":["Departement of mathematics, Yibin Vocational And Technical College, Yibin, Sichuan, China"],"affiliations":[{"raw_affiliation_string":"Departement of mathematics, Yibin Vocational And Technical College, Yibin, Sichuan, China","institution_ids":["https://openalex.org/I4210131342","https://openalex.org/I4402553992"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5078517869","display_name":"Yabin Shao","orcid":"https://orcid.org/0000-0003-1001-7132"},"institutions":[{"id":"https://openalex.org/I10535382","display_name":"Chongqing University of Posts and Telecommunications","ror":"https://ror.org/03dgaqz26","country_code":"CN","type":"education","lineage":["https://openalex.org/I10535382"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Yabin Shao","raw_affiliation_strings":["School of Science Chongqing, University of Posts and Telecommunications, Nanan, Chongqing, China"],"affiliations":[{"raw_affiliation_string":"School of Science Chongqing, University of Posts and Telecommunications, Nanan, Chongqing, China","institution_ids":["https://openalex.org/I10535382"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5011945467"],"corresponding_institution_ids":["https://openalex.org/I4210131342","https://openalex.org/I4402553992"],"apc_list":null,"apc_paid":null,"fwci":0.0,"has_fulltext":false,"cited_by_count":3,"citation_normalized_percentile":{"value":0.12379728,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":94},"biblio":{"volume":"9","issue":null,"first_page":"226","last_page":"230"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11063","display_name":"Rough Sets and Fuzzy Logic","score":0.9991000294685364,"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":0.9991000294685364,"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":0.9986000061035156,"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":0.977400004863739,"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/mathematics","display_name":"Mathematics","score":0.5782946944236755},{"id":"https://openalex.org/keywords/rough-set","display_name":"Rough set","score":0.5206764936447144},{"id":"https://openalex.org/keywords/soft-set","display_name":"Soft set","score":0.5086272954940796},{"id":"https://openalex.org/keywords/fuzzy-set","display_name":"Fuzzy set","score":0.49624568223953247},{"id":"https://openalex.org/keywords/fuzzy-set-operations","display_name":"Fuzzy set operations","score":0.4884118437767029},{"id":"https://openalex.org/keywords/equivalence-relation","display_name":"Equivalence relation","score":0.46880418062210083},{"id":"https://openalex.org/keywords/equivalence","display_name":"Equivalence (formal languages)","score":0.4347118139266968},{"id":"https://openalex.org/keywords/fuzzy-logic","display_name":"Fuzzy logic","score":0.40966540575027466},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.3960912227630615},{"id":"https://openalex.org/keywords/algebra-over-a-field","display_name":"Algebra over a field","score":0.366036981344223},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.3077079653739929},{"id":"https://openalex.org/keywords/pure-mathematics","display_name":"Pure mathematics","score":0.2995414137840271},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.22871574759483337}],"concepts":[{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.5782946944236755},{"id":"https://openalex.org/C111012933","wikidata":"https://www.wikidata.org/wiki/Q3137210","display_name":"Rough set","level":2,"score":0.5206764936447144},{"id":"https://openalex.org/C2777037408","wikidata":"https://www.wikidata.org/wiki/Q4310193","display_name":"Soft set","level":3,"score":0.5086272954940796},{"id":"https://openalex.org/C42011625","wikidata":"https://www.wikidata.org/wiki/Q1055058","display_name":"Fuzzy set","level":3,"score":0.49624568223953247},{"id":"https://openalex.org/C148671577","wikidata":"https://www.wikidata.org/wiki/Q5511133","display_name":"Fuzzy set operations","level":4,"score":0.4884118437767029},{"id":"https://openalex.org/C156103551","wikidata":"https://www.wikidata.org/wiki/Q130998","display_name":"Equivalence relation","level":2,"score":0.46880418062210083},{"id":"https://openalex.org/C2780069185","wikidata":"https://www.wikidata.org/wiki/Q7977945","display_name":"Equivalence (formal languages)","level":2,"score":0.4347118139266968},{"id":"https://openalex.org/C58166","wikidata":"https://www.wikidata.org/wiki/Q224821","display_name":"Fuzzy logic","level":2,"score":0.40966540575027466},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.3960912227630615},{"id":"https://openalex.org/C136119220","wikidata":"https://www.wikidata.org/wiki/Q1000660","display_name":"Algebra over a field","level":2,"score":0.366036981344223},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.3077079653739929},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.2995414137840271},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.22871574759483337}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1109/fskd.2015.7381944","is_oa":false,"landing_page_url":"https://doi.org/10.1109/fskd.2015.7381944","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2015 12th International Conference on Fuzzy Systems and Knowledge Discovery (FSKD)","raw_type":"proceedings-article"}],"best_oa_location":null,"sustainable_development_goals":[{"display_name":"Reduced inequalities","id":"https://metadata.un.org/sdg/10","score":0.6000000238418579}],"awards":[],"funders":[{"id":"https://openalex.org/F4320306076","display_name":"National Science Foundation","ror":"https://ror.org/021nxhr62"}],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":14,"referenced_works":["https://openalex.org/W1484754041","https://openalex.org/W1746410584","https://openalex.org/W1978352585","https://openalex.org/W1980564456","https://openalex.org/W1982907249","https://openalex.org/W1990961529","https://openalex.org/W2002680690","https://openalex.org/W2010107561","https://openalex.org/W2031241748","https://openalex.org/W2069754181","https://openalex.org/W2071796503","https://openalex.org/W4211007335","https://openalex.org/W4255833381","https://openalex.org/W4292078529"],"related_works":["https://openalex.org/W4389318318","https://openalex.org/W4247436880","https://openalex.org/W3045621976","https://openalex.org/W2042560256","https://openalex.org/W2064989302","https://openalex.org/W4309785386","https://openalex.org/W2600379663","https://openalex.org/W2220343220","https://openalex.org/W1899771913","https://openalex.org/W2811336963"],"abstract_inverted_index":{"In":[0],"present":[1,6,87],"paper,":[2],"we":[3,17,46,78],"devote":[4],"to":[5,10,60,82],"a":[7,19,38,72],"generic":[8],"approach":[9,85],"the":[11,84],"intuitionistic":[12,24,31,41,51,74],"fuzzy":[13,25,32,52,63,75],"soft":[14,23],"sets.":[15],"Firstly,":[16],"obtain":[18],"broad":[20],"family":[21],"of":[22,40,66,86],"rough":[26,33,53,64],"sets,":[27],"where":[28],"(\u2107,":[29,43,49,61],"F)-soft":[30,50],"set":[34],"is":[35],"constructed":[36],"by":[37,70],"pair":[39],"implicators":[42],"F).":[44],"Then,":[45],"prove":[47,83],"that":[48],"sets":[54,65],"in":[55],"our":[56],"work":[57],"are":[58],"equivalent":[59],"K)-intuitionistic":[62],"Zhou":[67],"et":[68],"al.":[69],"using":[71],"K-equivalence":[73],"relation.":[76],"Lastly,":[77],"explore":[79],"an":[80],"example":[81],"paper.":[88]},"counts_by_year":[{"year":2022,"cited_by_count":1},{"year":2021,"cited_by_count":1},{"year":2019,"cited_by_count":1}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}