{"id":"https://openalex.org/W2296553843","doi":"https://doi.org/10.3233/ifs-152072","title":"Roughness in n-ary semigroups based on fuzzy ideals","display_name":"Roughness in n-ary semigroups based on fuzzy ideals","publication_year":2016,"publication_date":"2016-04-02","ids":{"openalex":"https://openalex.org/W2296553843","doi":"https://doi.org/10.3233/ifs-152072","mag":"2296553843"},"language":"en","primary_location":{"id":"doi:10.3233/ifs-152072","is_oa":false,"landing_page_url":"https://doi.org/10.3233/ifs-152072","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/A5100691996","display_name":"Jianming Zhan","orcid":"https://orcid.org/0000-0003-2510-9515"},"institutions":[{"id":"https://openalex.org/I4210106563","display_name":"Hubei University for Nationalities","ror":"https://ror.org/01q349q17","country_code":"CN","type":"education","lineage":["https://openalex.org/I4210106563"]},{"id":"https://openalex.org/I75900474","display_name":"Hubei University","ror":"https://ror.org/03a60m280","country_code":"CN","type":"education","lineage":["https://openalex.org/I75900474"]}],"countries":["CN"],"is_corresponding":true,"raw_author_name":"Jianming Zhan","raw_affiliation_strings":["Department of Mathematics, Hubei University for Nationalities, Enshi, Hubei Province, China"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Mathematics, Hubei University for Nationalities, Enshi, Hubei Province, China","institution_ids":["https://openalex.org/I75900474","https://openalex.org/I4210106563"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5048317116","display_name":"Xiao-Wu Zhou","orcid":null},"institutions":[{"id":"https://openalex.org/I4210106563","display_name":"Hubei University for Nationalities","ror":"https://ror.org/01q349q17","country_code":"CN","type":"education","lineage":["https://openalex.org/I4210106563"]},{"id":"https://openalex.org/I75900474","display_name":"Hubei University","ror":"https://ror.org/03a60m280","country_code":"CN","type":"education","lineage":["https://openalex.org/I75900474"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Xiaowu Zhou","raw_affiliation_strings":["Department of Mathematics, Hubei University for Nationalities, Enshi, Hubei Province, China"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Mathematics, Hubei University for Nationalities, Enshi, Hubei Province, China","institution_ids":["https://openalex.org/I75900474","https://openalex.org/I4210106563"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5100943879","display_name":"Dajing Xiang","orcid":null},"institutions":[{"id":"https://openalex.org/I4210106563","display_name":"Hubei University for Nationalities","ror":"https://ror.org/01q349q17","country_code":"CN","type":"education","lineage":["https://openalex.org/I4210106563"]},{"id":"https://openalex.org/I75900474","display_name":"Hubei University","ror":"https://ror.org/03a60m280","country_code":"CN","type":"education","lineage":["https://openalex.org/I75900474"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Dajing Xiang","raw_affiliation_strings":["Department of Mathematics, Hubei University for Nationalities, Enshi, Hubei Province, China"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Mathematics, Hubei University for Nationalities, Enshi, Hubei Province, China","institution_ids":["https://openalex.org/I75900474","https://openalex.org/I4210106563"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":3,"corresponding_author_ids":["https://openalex.org/A5100691996"],"corresponding_institution_ids":["https://openalex.org/I4210106563","https://openalex.org/I75900474"],"apc_list":null,"apc_paid":null,"fwci":2.1627,"has_fulltext":false,"cited_by_count":7,"citation_normalized_percentile":{"value":0.88075308,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":97},"biblio":{"volume":"30","issue":"5","first_page":"2833","last_page":"2841"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11063","display_name":"Rough Sets and Fuzzy Logic","score":0.9998999834060669,"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":0.9998999834060669,"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":0.973800003528595,"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/T10820","display_name":"Fuzzy Logic and Control Systems","score":0.9559000134468079,"subfield":{"id":"https://openalex.org/subfields/1702","display_name":"Artificial Intelligence"},"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/fuzzy-logic","display_name":"Fuzzy logic","score":0.5954548716545105},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.48898041248321533},{"id":"https://openalex.org/keywords/pure-mathematics","display_name":"Pure mathematics","score":0.44650980830192566},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.3726971745491028},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.18883532285690308}],"concepts":[{"id":"https://openalex.org/C58166","wikidata":"https://www.wikidata.org/wiki/Q224821","display_name":"Fuzzy logic","level":2,"score":0.5954548716545105},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.48898041248321533},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.44650980830192566},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.3726971745491028},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.18883532285690308}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.3233/ifs-152072","is_oa":false,"landing_page_url":"https://doi.org/10.3233/ifs-152072","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":[{"display_name":"Reduced inequalities","id":"https://metadata.un.org/sdg/10","score":0.4300000071525574}],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":27,"referenced_works":["https://openalex.org/W1963886728","https://openalex.org/W1969666030","https://openalex.org/W1978173831","https://openalex.org/W1979201506","https://openalex.org/W1983426508","https://openalex.org/W1994171503","https://openalex.org/W2006571464","https://openalex.org/W2007262119","https://openalex.org/W2041596646","https://openalex.org/W2043904881","https://openalex.org/W2052216119","https://openalex.org/W2066953061","https://openalex.org/W2079198618","https://openalex.org/W2080083534","https://openalex.org/W2080968840","https://openalex.org/W2081035385","https://openalex.org/W2081474755","https://openalex.org/W2090512912","https://openalex.org/W2236024852","https://openalex.org/W2461898535","https://openalex.org/W2547343509","https://openalex.org/W2550626415","https://openalex.org/W2964184955","https://openalex.org/W4255833381","https://openalex.org/W6644880072","https://openalex.org/W6676520194","https://openalex.org/W6729666916"],"related_works":["https://openalex.org/W2899084033","https://openalex.org/W2748952813","https://openalex.org/W1979597421","https://openalex.org/W2007980826","https://openalex.org/W4245490552","https://openalex.org/W4225152035","https://openalex.org/W2061531152","https://openalex.org/W3002753104","https://openalex.org/W2077600819","https://openalex.org/W1587224694"],"abstract_inverted_index":{"A":[0],"novel":[1],"congruence":[2,22],"relation":[3,23],"U":[4,17],"(\u03bc,":[5,18],"t)":[6,19],"on":[7,24,38],"an":[8,25,49,70],"n-ary":[9,26,50,71,79],"semigroup":[10,27],"S":[11,28],"is":[12,20,31],"established.":[13],"We":[14],"show":[15],"that":[16],"a":[21,32],"if":[29],"\u03bc":[30],"fuzzy":[33,67],"ideal":[34],"of":[35,57,66,69,77],"S.":[36],"Based":[37],"this":[39],"idea,":[40],"we":[41,53],"construct":[42],"the":[43,55,75],"lower":[44],"and":[45,60,85],"upper":[46],"approximations":[47],"in":[48],"semigroup.":[51,72],"Furthermore,":[52],"introduce":[54],"notions":[56],"rough":[58,61,78,81],"ideals":[59,63,68],"prime":[62],"by":[64],"means":[65],"In":[73],"particular,":[74],"concepts":[76],"semigroups,":[80],"homomorphisms":[82],"are":[83,89],"introduced":[84],"some":[86],"relative":[87],"properties":[88],"also":[90],"investigated.":[91]},"counts_by_year":[{"year":2020,"cited_by_count":1},{"year":2018,"cited_by_count":2},{"year":2017,"cited_by_count":3},{"year":2016,"cited_by_count":1}],"updated_date":"2026-06-19T15:47:20.252518","created_date":"2025-10-10T00:00:00"}
