{"id":"https://openalex.org/W4401189363","doi":"https://doi.org/10.29020/nybg.ejpam.v17i3.5309","title":"The Connections of Strongest Fuzzy \u0393-ideals on Ternary \u0393-semigroups","display_name":"The Connections of Strongest Fuzzy \u0393-ideals on Ternary \u0393-semigroups","publication_year":2024,"publication_date":"2024-07-31","ids":{"openalex":"https://openalex.org/W4401189363","doi":"https://doi.org/10.29020/nybg.ejpam.v17i3.5309"},"language":"en","primary_location":{"id":"doi:10.29020/nybg.ejpam.v17i3.5309","doi":"https://doi.org/10.29020/nybg.ejpam.v17i3.5309","is_oa":true,"landing_page_url":"http://dx.doi.org/10.29020/nybg.ejpam.v17i3.5309","pdf_url":"https://www.ejpam.com/index.php/ejpam/article/download/5309/1649","source":{"id":"https://openalex.org/S2764475867","display_name":"European Journal of Pure and Applied Mathematics","issn_l":"1307-5543","issn":["1307-5543"],"is_oa":true,"is_in_doaj":false,"is_core":true,"listed_in":["cwts-core","jufo-1","norway-1","poland-20","russia-white-list-3"],"host_organization":null,"host_organization_name":null,"host_organization_lineage":[],"host_organization_lineage_names":[],"type":"journal"},"license":"cc-by-nc-sa","license_id":"https://openalex.org/licenses/cc-by-nc-sa","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"European Journal of Pure and Applied Mathematics","raw_type":"journal-article"},"volume":null,"type":"article","is_traditional":true,"indexed_in":["crossref"],"open_access":{"is_oa":true,"oa_status":"diamond","oa_url":"https://www.ejpam.com/index.php/ejpam/article/download/5309/1649","any_repository_has_fulltext":false},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5032406383","display_name":"Warud Nakkhasen","orcid":"https://orcid.org/0000-0002-7110-2835","observed_orcids":["https://orcid.org/0000-0002-7110-2835"]},"institutions":[{"id":"https://openalex.org/I123096312","display_name":"Mahasarakham University","ror":"https://ror.org/0453j3c58","country_code":"TH","type":"education","lineage":["https://openalex.org/I123096312"]}],"countries":["TH"],"is_corresponding":false,"raw_author_name":"Warud Nakkhasen","raw_affiliation_strings":["Department of Mathematics, Faculty of Science, Mahasarakham University"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Mathematics, Faculty of Science, Mahasarakham University","institution_ids":["https://openalex.org/I123096312"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5106162351","display_name":"Onnalin Yangnok","orcid":null,"observed_orcids":[]},"institutions":[{"id":"https://openalex.org/I123096312","display_name":"Mahasarakham University","ror":"https://ror.org/0453j3c58","country_code":"TH","type":"education","lineage":["https://openalex.org/I123096312"]}],"countries":["TH"],"is_corresponding":false,"raw_author_name":"Onnalin Yangnok","raw_affiliation_strings":["Department of Mathematics, Faculty of Science, Mahasarakham University"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Mathematics, Faculty of Science, Mahasarakham University","institution_ids":["https://openalex.org/I123096312"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5106213520","display_name":"Kewarin Chaidet","orcid":null,"observed_orcids":[]},"institutions":[{"id":"https://openalex.org/I123096312","display_name":"Mahasarakham University","ror":"https://ror.org/0453j3c58","country_code":"TH","type":"education","lineage":["https://openalex.org/I123096312"]}],"countries":["TH"],"is_corresponding":false,"raw_author_name":"Kewarin Chaidet","raw_affiliation_strings":["Department of Mathematics, Faculty of Science, Mahasarakham University"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Mathematics, Faculty of Science, Mahasarakham University","institution_ids":["https://openalex.org/I123096312"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5065646455","display_name":"Wichayaporn Jantanan","orcid":"https://orcid.org/0000-0003-4174-1721","observed_orcids":["https://orcid.org/0000-0003-4174-1721"]},"institutions":[{"id":"https://openalex.org/I4210091243","display_name":"Buriram Rajabhat University","ror":"https://ror.org/00cgkxv41","country_code":"TH","type":"education","lineage":["https://openalex.org/I4210091243"]}],"countries":["TH"],"is_corresponding":false,"raw_author_name":"Wichayaporn Jantanan","raw_affiliation_strings":["Department of Mathematics, Faculty of Science, Buriram Rajabhat University"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Mathematics, Faculty of Science, Buriram Rajabhat University","institution_ids":["https://openalex.org/I4210091243"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":2,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":0.0,"has_fulltext":true,"cited_by_count":0,"citation_normalized_percentile":{"value":0.11012831,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":null,"biblio":{"volume":"17","issue":"3","first_page":"1417","last_page":"1428"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11671","display_name":"Fuzzy and Soft Set Theory","score":0.9496999979019165,"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":0.9496999979019165,"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":0.03889999911189079,"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/T11567","display_name":"semigroups and automata theory","score":0.004399999976158142,"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/characterization-of-fuzzy-ideals","display_name":"characterization of fuzzy ideals","score":0.6919999718666077}],"concepts":[{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.8862746953964233},{"id":"https://openalex.org/C64452783","wikidata":"https://www.wikidata.org/wiki/Q1524945","display_name":"Ternary operation","level":2,"score":0.8466953635215759},{"id":"https://openalex.org/C58166","wikidata":"https://www.wikidata.org/wiki/Q224821","display_name":"Fuzzy logic","level":2,"score":0.6737247705459595},{"id":"https://openalex.org/C182306322","wikidata":"https://www.wikidata.org/wiki/Q1779371","display_name":"Order (exchange)","level":2,"score":0.5712075233459473},{"id":"https://openalex.org/C42011625","wikidata":"https://www.wikidata.org/wiki/Q1055058","display_name":"Fuzzy set","level":3,"score":0.5120711922645569},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.4790245592594147},{"id":"https://openalex.org/C25343380","wikidata":"https://www.wikidata.org/wiki/Q277521","display_name":"Relation (database)","level":2,"score":0.44724220037460327},{"id":"https://openalex.org/C2780841128","wikidata":"https://www.wikidata.org/wiki/Q5073781","display_name":"Characterization (materials science)","level":2,"score":0.4169800281524658},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.39584237337112427},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.3612492084503174},{"id":"https://openalex.org/C124101348","wikidata":"https://www.wikidata.org/wiki/Q172491","display_name":"Data mining","level":1,"score":0.09110096096992493},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.05927857756614685},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.05674922466278076},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.03970092535018921},{"id":"https://openalex.org/C162324750","wikidata":"https://www.wikidata.org/wiki/Q8134","display_name":"Economics","level":0,"score":0.0},{"id":"https://openalex.org/C120665830","wikidata":"https://www.wikidata.org/wiki/Q14620","display_name":"Optics","level":1,"score":0.0},{"id":"https://openalex.org/C199360897","wikidata":"https://www.wikidata.org/wiki/Q9143","display_name":"Programming language","level":1,"score":0.0},{"id":"https://openalex.org/C10138342","wikidata":"https://www.wikidata.org/wiki/Q43015","display_name":"Finance","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.29020/nybg.ejpam.v17i3.5309","doi":"https://doi.org/10.29020/nybg.ejpam.v17i3.5309","is_oa":true,"landing_page_url":"http://dx.doi.org/10.29020/nybg.ejpam.v17i3.5309","pdf_url":"https://www.ejpam.com/index.php/ejpam/article/download/5309/1649","source":{"id":"https://openalex.org/S2764475867","display_name":"European Journal of Pure and Applied Mathematics","issn_l":"1307-5543","issn":["1307-5543"],"is_oa":true,"is_in_doaj":false,"is_core":true,"listed_in":["cwts-core","jufo-1","norway-1","poland-20","russia-white-list-3"],"host_organization":null,"host_organization_name":null,"host_organization_lineage":[],"host_organization_lineage_names":[],"type":"journal"},"license":"cc-by-nc-sa","license_id":"https://openalex.org/licenses/cc-by-nc-sa","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"European Journal of Pure and Applied Mathematics","raw_type":"journal-article"}],"best_oa_location":{"id":"doi:10.29020/nybg.ejpam.v17i3.5309","doi":"https://doi.org/10.29020/nybg.ejpam.v17i3.5309","is_oa":true,"landing_page_url":"http://dx.doi.org/10.29020/nybg.ejpam.v17i3.5309","pdf_url":"https://www.ejpam.com/index.php/ejpam/article/download/5309/1649","source":{"id":"https://openalex.org/S2764475867","display_name":"European Journal of Pure and Applied Mathematics","issn_l":"1307-5543","issn":["1307-5543"],"is_oa":true,"is_in_doaj":false,"is_core":true,"listed_in":["cwts-core","jufo-1","norway-1","poland-20","russia-white-list-3"],"host_organization":null,"host_organization_name":null,"host_organization_lineage":[],"host_organization_lineage_names":[],"type":"journal"},"license":"cc-by-nc-sa","license_id":"https://openalex.org/licenses/cc-by-nc-sa","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"European Journal of Pure and Applied Mathematics","raw_type":"journal-article"},"sustainable_development_goals":[],"study_designs":[],"awards":[],"funders":[{"id":"https://openalex.org/F4320324290","display_name":"Mahasarakham University","ror":"https://ror.org/0453j3c58"}],"has_content":{"grobid_xml":true,"pdf":true},"content_urls":{"pdf":"https://content.openalex.org/works/W4401189363.pdf","grobid_xml":"https://content.openalex.org/works/W4401189363.grobid-xml"},"referenced_works_count":3,"referenced_works":["https://openalex.org/W1969537852","https://openalex.org/W2226359317","https://openalex.org/W2497645200"],"related_works":["https://openalex.org/W1484988035","https://openalex.org/W7155048074","https://openalex.org/W2401527317","https://openalex.org/W1968113405","https://openalex.org/W7097054773","https://openalex.org/W2234040382","https://openalex.org/W2411222056","https://openalex.org/W2518128453","https://openalex.org/W7095519169","https://openalex.org/W2092499969"],"abstract_inverted_index":{"The":[0,30],"fuzzy":[1,10,20,34,57,61,70],"relation":[2,21],"$R_\\mu$":[3],"on":[4,22,72],"$\\mu$,":[5],"where":[6],"$\\mu$":[7],"is":[8,16],"a":[9,13,18],"set":[11,14],"of":[12,32,42,55,82],"$X$,":[15],"called":[17],"strongest":[19,33,56,60,69],"$X$":[23],"if":[24],"$R_\\mu(x,y)=\\min\\{\\mu(x),\\mu(y)\\}$,":[25],"for":[26],"all":[27],"$x,y\\in":[28],"X$.":[29],"notion":[31],"relations":[35],"will":[36,51],"be":[37],"applied":[38],"in":[39,85],"our":[40],"investigation":[41],"ternary":[43,58,73,86],"$\\Gamma$-semigroups.":[44,74,87],"In":[45],"order":[46],"to":[47],"achieve":[48],"this,":[49],"we":[50,76],"define":[52],"the":[53,78],"concepts":[54,84],"$\\Gamma$-subsemigroups,":[59],"$\\Gamma$-ideals":[62],"(resp.":[63],"left,":[64],"right,":[65],"and":[66,68,80],"lateral),":[67],"bi-$\\Gamma$-ideals":[71],"Then,":[75],"study":[77],"connections":[79],"characterizations":[81],"these":[83]},"counts_by_year":[],"updated_date":"2026-08-23T07:36:19.812096","created_date":"2024-08-01T00:00:00"}