{"id":"https://openalex.org/W4296580035","doi":"https://doi.org/10.1155/2022/6833943","title":"<a:math xmlns:a=\"http://www.w3.org/1998/Math/MathML\" id=\"M1\"> <a:mi mathvariant=\"normal\">\u2112</a:mi> </a:math>-Fuzzy Cosets of <d:math xmlns:d=\"http://www.w3.org/1998/Math/MathML\" id=\"M2\"> <d:mi mathvariant=\"normal\">\u2112</d:mi> </d:math>-Fuzzy Filters of Residuated Multilattices","display_name":"<a:math xmlns:a=\"http://www.w3.org/1998/Math/MathML\" id=\"M1\"> <a:mi mathvariant=\"normal\">\u2112</a:mi> </a:math>-Fuzzy Cosets of <d:math xmlns:d=\"http://www.w3.org/1998/Math/MathML\" id=\"M2\"> <d:mi mathvariant=\"normal\">\u2112</d:mi> </d:math>-Fuzzy Filters of Residuated Multilattices","publication_year":2022,"publication_date":"2022-09-12","ids":{"openalex":"https://openalex.org/W4296580035","doi":"https://doi.org/10.1155/2022/6833943"},"language":"en","primary_location":{"id":"doi:10.1155/2022/6833943","is_oa":true,"landing_page_url":"https://doi.org/10.1155/2022/6833943","pdf_url":"https://downloads.hindawi.com/journals/ijmms/2022/6833943.pdf","source":{"id":"https://openalex.org/S151851439","display_name":"International Journal of Mathematics and Mathematical Sciences","issn_l":"0161-1712","issn":["0161-1712","1687-0425"],"is_oa":true,"is_in_doaj":true,"is_core":true,"host_organization":"https://openalex.org/P4310319869","host_organization_name":"Hindawi Publishing Corporation","host_organization_lineage":["https://openalex.org/P4310319869"],"host_organization_lineage_names":["Hindawi Publishing Corporation"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"International Journal of Mathematics and Mathematical Sciences","raw_type":"journal-article"},"type":"article","indexed_in":["crossref","doaj"],"open_access":{"is_oa":true,"oa_status":"gold","oa_url":"https://downloads.hindawi.com/journals/ijmms/2022/6833943.pdf","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5064274652","display_name":"Pierre Carole Kengne","orcid":"https://orcid.org/0000-0003-3132-6874"},"institutions":[{"id":"https://openalex.org/I178331978","display_name":"Universit\u00e9 de Dschang","ror":"https://ror.org/0566t4z20","country_code":"CM","type":"education","lineage":["https://openalex.org/I178331978"]}],"countries":["CM"],"is_corresponding":false,"raw_author_name":"Pierre Carole Kengne","raw_affiliation_strings":["Department of Mathematics and Computer Science, Faculty of Science, University of Dschang, P.O. Box 67, Dschang, Cameroon"],"raw_orcid":"https://orcid.org/0000-0003-3132-6874","affiliations":[{"raw_affiliation_string":"Department of Mathematics and Computer Science, Faculty of Science, University of Dschang, P.O. Box 67, Dschang, Cameroon","institution_ids":["https://openalex.org/I178331978"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5083057859","display_name":"Blaise B. Koguep Njionou","orcid":"https://orcid.org/0000-0001-9035-6753"},"institutions":[{"id":"https://openalex.org/I178331978","display_name":"Universit\u00e9 de Dschang","ror":"https://ror.org/0566t4z20","country_code":"CM","type":"education","lineage":["https://openalex.org/I178331978"]}],"countries":["CM"],"is_corresponding":true,"raw_author_name":"Blaise Bleriot Koguep Njionou","raw_affiliation_strings":["Department of Mathematics and Computer Science, Faculty of Science, University of Dschang, P.O. Box 67, Dschang, Cameroon"],"raw_orcid":"https://orcid.org/0000-0001-9035-6753","affiliations":[{"raw_affiliation_string":"Department of Mathematics and Computer Science, Faculty of Science, University of Dschang, P.O. Box 67, Dschang, Cameroon","institution_ids":["https://openalex.org/I178331978"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5033209980","display_name":"Daquin C\u00e8dric Awouafack","orcid":"https://orcid.org/0000-0001-8756-3487"},"institutions":[{"id":"https://openalex.org/I178331978","display_name":"Universit\u00e9 de Dschang","ror":"https://ror.org/0566t4z20","country_code":"CM","type":"education","lineage":["https://openalex.org/I178331978"]}],"countries":["CM"],"is_corresponding":false,"raw_author_name":"Daquin C\u00e8dric Awouafack","raw_affiliation_strings":["Department of Mathematics and Computer Science, Faculty of Science, University of Dschang, P.O. Box 67, Dschang, Cameroon"],"raw_orcid":"https://orcid.org/0000-0001-8756-3487","affiliations":[{"raw_affiliation_string":"Department of Mathematics and Computer Science, Faculty of Science, University of Dschang, P.O. Box 67, Dschang, Cameroon","institution_ids":["https://openalex.org/I178331978"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5043649797","display_name":"Luc \u00c9m\u00e9ry Di\u00e9kouam Fotso","orcid":"https://orcid.org/0000-0002-5260-7686"},"institutions":[{"id":"https://openalex.org/I213072177","display_name":"University of Maroua","ror":"https://ror.org/051sa4h84","country_code":"CM","type":"education","lineage":["https://openalex.org/I213072177"]}],"countries":["CM"],"is_corresponding":false,"raw_author_name":"Luc Em\u00e9ry Di\u00e9kouam Fotso","raw_affiliation_strings":["Department of Mathematics, Higher Teacher\u2019s Training College, University of Maroua, Maroua, Cameroon"],"raw_orcid":"https://orcid.org/0000-0002-5260-7686","affiliations":[{"raw_affiliation_string":"Department of Mathematics, Higher Teacher\u2019s Training College, University of Maroua, Maroua, Cameroon","institution_ids":["https://openalex.org/I213072177"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":4,"corresponding_author_ids":["https://openalex.org/A5083057859"],"corresponding_institution_ids":["https://openalex.org/I178331978"],"apc_list":{"value":1025,"currency":"USD","value_usd":1025},"apc_paid":{"value":1025,"currency":"USD","value_usd":1025},"fwci":0.0,"has_fulltext":true,"cited_by_count":0,"citation_normalized_percentile":{"value":0.13625281,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":null,"biblio":{"volume":"2022","issue":null,"first_page":"1","last_page":"14"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11671","display_name":"Fuzzy and Soft Set Theory","score":0.9988999962806702,"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":0.9988999962806702,"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":0.9944000244140625,"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":0.9840999841690063,"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/mathematics","display_name":"Mathematics","score":0.6058864593505859},{"id":"https://openalex.org/keywords/prime","display_name":"Prime (order theory)","score":0.4655597507953644},{"id":"https://openalex.org/keywords/fuzzy-logic","display_name":"Fuzzy logic","score":0.46417972445487976},{"id":"https://openalex.org/keywords/filter","display_name":"Filter (signal processing)","score":0.4449736177921295},{"id":"https://openalex.org/keywords/algebra-over-a-field","display_name":"Algebra over a field","score":0.42459675669670105},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.40490835905075073},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.33715152740478516},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.2802124619483948},{"id":"https://openalex.org/keywords/pure-mathematics","display_name":"Pure mathematics","score":0.20577272772789001},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.19494953751564026},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.15901169180870056}],"concepts":[{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.6058864593505859},{"id":"https://openalex.org/C184992742","wikidata":"https://www.wikidata.org/wiki/Q7243229","display_name":"Prime (order theory)","level":2,"score":0.4655597507953644},{"id":"https://openalex.org/C58166","wikidata":"https://www.wikidata.org/wiki/Q224821","display_name":"Fuzzy logic","level":2,"score":0.46417972445487976},{"id":"https://openalex.org/C106131492","wikidata":"https://www.wikidata.org/wiki/Q3072260","display_name":"Filter (signal processing)","level":2,"score":0.4449736177921295},{"id":"https://openalex.org/C136119220","wikidata":"https://www.wikidata.org/wiki/Q1000660","display_name":"Algebra over a field","level":2,"score":0.42459675669670105},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.40490835905075073},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.33715152740478516},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.2802124619483948},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.20577272772789001},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.19494953751564026},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.15901169180870056},{"id":"https://openalex.org/C31972630","wikidata":"https://www.wikidata.org/wiki/Q844240","display_name":"Computer vision","level":1,"score":0.0}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.1155/2022/6833943","is_oa":true,"landing_page_url":"https://doi.org/10.1155/2022/6833943","pdf_url":"https://downloads.hindawi.com/journals/ijmms/2022/6833943.pdf","source":{"id":"https://openalex.org/S151851439","display_name":"International Journal of Mathematics and Mathematical Sciences","issn_l":"0161-1712","issn":["0161-1712","1687-0425"],"is_oa":true,"is_in_doaj":true,"is_core":true,"host_organization":"https://openalex.org/P4310319869","host_organization_name":"Hindawi Publishing Corporation","host_organization_lineage":["https://openalex.org/P4310319869"],"host_organization_lineage_names":["Hindawi Publishing Corporation"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"International Journal of Mathematics and Mathematical Sciences","raw_type":"journal-article"},{"id":"pmh:oai:doaj.org/article:cabe15ca76f843ba920c2ef9083cff8d","is_oa":true,"landing_page_url":"https://doaj.org/article/cabe15ca76f843ba920c2ef9083cff8d","pdf_url":null,"source":{"id":"https://openalex.org/S4306401280","display_name":"DOAJ (DOAJ: Directory of Open Access Journals)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":null,"host_organization_name":null,"host_organization_lineage":[],"host_organization_lineage_names":[],"type":"repository"},"license":"cc-by-sa","license_id":"https://openalex.org/licenses/cc-by-sa","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"International Journal of Mathematics and Mathematical Sciences, Vol 2022 (2022)","raw_type":"article"}],"best_oa_location":{"id":"doi:10.1155/2022/6833943","is_oa":true,"landing_page_url":"https://doi.org/10.1155/2022/6833943","pdf_url":"https://downloads.hindawi.com/journals/ijmms/2022/6833943.pdf","source":{"id":"https://openalex.org/S151851439","display_name":"International Journal of Mathematics and Mathematical Sciences","issn_l":"0161-1712","issn":["0161-1712","1687-0425"],"is_oa":true,"is_in_doaj":true,"is_core":true,"host_organization":"https://openalex.org/P4310319869","host_organization_name":"Hindawi Publishing Corporation","host_organization_lineage":["https://openalex.org/P4310319869"],"host_organization_lineage_names":["Hindawi Publishing Corporation"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"International Journal of Mathematics and Mathematical Sciences","raw_type":"journal-article"},"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"grobid_xml":true,"pdf":true},"content_urls":{"pdf":"https://content.openalex.org/works/W4296580035.pdf","grobid_xml":"https://content.openalex.org/works/W4296580035.grobid-xml"},"referenced_works_count":15,"referenced_works":["https://openalex.org/W1996159277","https://openalex.org/W2002985477","https://openalex.org/W2015059548","https://openalex.org/W2054416947","https://openalex.org/W2110732252","https://openalex.org/W2121942314","https://openalex.org/W2130768930","https://openalex.org/W2152560153","https://openalex.org/W2157793039","https://openalex.org/W2303415689","https://openalex.org/W2738611822","https://openalex.org/W2740304622","https://openalex.org/W3146494687","https://openalex.org/W4211007335","https://openalex.org/W6679486147"],"related_works":["https://openalex.org/W2368346088","https://openalex.org/W1860685382","https://openalex.org/W2992465729","https://openalex.org/W2904843703","https://openalex.org/W2158129123","https://openalex.org/W2096009729","https://openalex.org/W3028028386","https://openalex.org/W1511093680","https://openalex.org/W4295161323","https://openalex.org/W2508641391"],"abstract_inverted_index":{"This":[0],"paper":[1],"mainly":[2],"focuses":[3],"on":[4],"building":[5],"the":[6,22,60,90,129,183],"<a:math":[7],"xmlns:a=\"http://www.w3.org/1998/Math/MathML\"":[8],"id=\"M3\">":[9],"<a:mi":[10],"mathvariant=\"normal\">\u2112</a:mi>":[11],"</a:math>":[12],"-fuzzy":[13,31,40,70,99,111,122,152,167,177,193,203],"filter":[14,32,71,113,123,204],"theory":[15],"of":[16,24,43,62,92,169,185,195,205],"residuated":[17,44,207,211],"multilattices.":[18,45],"Firstly,":[19],"we":[20,47,58,78,103,142,157,180],"introduce":[21,59],"concepts":[23],"<d:math":[25],"xmlns:d=\"http://www.w3.org/1998/Math/MathML\"":[26],"id=\"M4\">":[27],"<d:mi":[28],"mathvariant=\"normal\">\u2112</d:mi>":[29],"</d:math>":[30],"and":[33,51,72,83,114,126,179],"<g:math":[34],"xmlns:g=\"http://www.w3.org/1998/Math/MathML\"":[35],"id=\"M5\">":[36],"<g:mi":[37],"mathvariant=\"normal\">\u2112</g:mi>":[38],"</g:math>":[39],"deductive":[41],"system":[42],"Then,":[46,77],"highlight":[48],"their":[49,81],"properties":[50,82],"show":[52,84],"how":[53,85],"they":[54,86],"are":[55,87,154,158],"linked.":[56],"Secondly,":[57],"concept":[61,91],"prime":[63,100],"<j:math":[64],"xmlns:j=\"http://www.w3.org/1998/Math/MathML\"":[65],"id=\"M6\">":[66],"<j:mi":[67],"mathvariant=\"normal\">\u2112</j:mi>":[68],"</j:math>":[69],"propose":[73],"some":[74],"illustrative":[75],"examples.":[76],"bring":[79],"out":[80],"related":[88],"to":[89],"<m:math":[93],"xmlns:m=\"http://www.w3.org/1998/Math/MathML\"":[94],"id=\"M7\">":[95],"<m:mi":[96],"mathvariant=\"normal\">\u2112</m:mi>":[97],"</m:math>":[98],"filter.":[101],"Thirdly,":[102],"characterize":[104],"<p:math":[105],"xmlns:p=\"http://www.w3.org/1998/Math/MathML\"":[106],"id=\"M8\">":[107],"<p:mi":[108],"mathvariant=\"normal\">\u2112</p:mi>":[109],"</p:math>":[110],"maximal":[112,115,145],"<s:math":[116],"xmlns:s=\"http://www.w3.org/1998/Math/MathML\"":[117],"id=\"M9\">":[118],"<s:mi":[119],"mathvariant=\"normal\">\u2112</s:mi>":[120],"</s:math>":[121],"by":[124],"atoms":[125],"coatoms.":[127],"In":[128],"case":[130],"where":[131],"<v:math":[132],"xmlns:v=\"http://www.w3.org/1998/Math/MathML\"":[133],"id=\"M10\">":[134],"<v:mi":[135],"mathvariant=\"normal\">\u2112</v:mi>":[136],"</v:math>":[137],"is":[138,209],"a":[139,206,210],"distributive":[140],"lattice,":[141],"prove":[143,181],"that":[144,182],"<y:math":[146],"xmlns:y=\"http://www.w3.org/1998/Math/MathML\"":[147],"id=\"M11\">":[148],"<y:mi":[149],"mathvariant=\"normal\">\u2112</y:mi>":[150],"</y:math>":[151],"filters":[153],"prime.":[155],"Finally,":[156],"interested":[159],"in":[160],"<bb:math":[161],"xmlns:bb=\"http://www.w3.org/1998/Math/MathML\"":[162],"id=\"M12\">":[163],"<bb:mi":[164],"mathvariant=\"normal\">\u2112</bb:mi>":[165],"</bb:math>":[166],"cosets":[168,194],"an":[170],"<eb:math":[171],"xmlns:eb=\"http://www.w3.org/1998/Math/MathML\"":[172],"id=\"M13\">":[173],"<eb:mi":[174],"mathvariant=\"normal\">\u2112</eb:mi>":[175],"</eb:math>":[176],"filter,":[178],"set":[184],"all":[186],"<hb:math":[187],"xmlns:hb=\"http://www.w3.org/1998/Math/MathML\"":[188],"id=\"M14\">":[189],"<hb:mi":[190],"mathvariant=\"normal\">\u2112</hb:mi>":[191],"</hb:math>":[192],"any":[196],"<kb:math":[197],"xmlns:kb=\"http://www.w3.org/1998/Math/MathML\"":[198],"id=\"M15\">":[199],"<kb:mi":[200],"mathvariant=\"normal\">\u2112</kb:mi>":[201],"</kb:math>":[202],"multilattice":[208],"multilattice.":[212]},"counts_by_year":[],"updated_date":"2026-05-06T08:25:59.206177","created_date":"2022-09-22T00:00:00"}
