{"id":"https://openalex.org/W4220706345","doi":"https://doi.org/10.1142/s1793005722500016","title":"Hybrid Interior Ideals in Ordered Semigroups","display_name":"Hybrid Interior Ideals in Ordered Semigroups","publication_year":2022,"publication_date":"2022-03-01","ids":{"openalex":"https://openalex.org/W4220706345","doi":"https://doi.org/10.1142/s1793005722500016"},"language":"en","primary_location":{"id":"doi:10.1142/s1793005722500016","is_oa":false,"landing_page_url":"https://doi.org/10.1142/s1793005722500016","pdf_url":null,"source":{"id":"https://openalex.org/S135331755","display_name":"New Mathematics and Natural Computation","issn_l":"1793-0057","issn":["1793-0057","1793-7027"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319815","host_organization_name":"World Scientific","host_organization_lineage":["https://openalex.org/P4310319815"],"host_organization_lineage_names":["World Scientific"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"New Mathematics and Natural Computation","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/A5001782289","display_name":"K. Porselvi","orcid":"https://orcid.org/0000-0003-4097-3467"},"institutions":[{"id":"https://openalex.org/I119668213","display_name":"Karunya University","ror":"https://ror.org/03k23nv15","country_code":"IN","type":"education","lineage":["https://openalex.org/I119668213"]}],"countries":["IN"],"is_corresponding":true,"raw_author_name":"K. Porselvi","raw_affiliation_strings":["Department of Mathematics, Karunya Institute of Technology and Sciences, Coimbatore, Tamil Nadu 641 114, India"],"affiliations":[{"raw_affiliation_string":"Department of Mathematics, Karunya Institute of Technology and Sciences, Coimbatore, Tamil Nadu 641 114, India","institution_ids":["https://openalex.org/I119668213"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5021473869","display_name":"B. Elavarasan","orcid":"https://orcid.org/0000-0002-1414-2814"},"institutions":[{"id":"https://openalex.org/I119668213","display_name":"Karunya University","ror":"https://ror.org/03k23nv15","country_code":"IN","type":"education","lineage":["https://openalex.org/I119668213"]}],"countries":["IN"],"is_corresponding":false,"raw_author_name":"B. Elavarasan","raw_affiliation_strings":["Department of Mathematics, Karunya Institute of Technology and Sciences, Coimbatore, Tamil Nadu 641 114, India"],"affiliations":[{"raw_affiliation_string":"Department of Mathematics, Karunya Institute of Technology and Sciences, Coimbatore, Tamil Nadu 641 114, India","institution_ids":["https://openalex.org/I119668213"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5089205317","display_name":"Young Bae Jun","orcid":"https://orcid.org/0000-0002-0181-8969"},"institutions":[{"id":"https://openalex.org/I189442560","display_name":"Gyeongsang National University","ror":"https://ror.org/00saywf64","country_code":"KR","type":"education","lineage":["https://openalex.org/I189442560"]}],"countries":["KR"],"is_corresponding":false,"raw_author_name":"Y. B. Jun","raw_affiliation_strings":["Department of Mathematics Education, Gyeongsang National University, Jinju 52828, Korea"],"affiliations":[{"raw_affiliation_string":"Department of Mathematics Education, Gyeongsang National University, Jinju 52828, Korea","institution_ids":["https://openalex.org/I189442560"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":3,"corresponding_author_ids":["https://openalex.org/A5001782289"],"corresponding_institution_ids":["https://openalex.org/I119668213"],"apc_list":null,"apc_paid":null,"fwci":1.6367,"has_fulltext":false,"cited_by_count":10,"citation_normalized_percentile":{"value":0.84061524,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":94,"max":98},"biblio":{"volume":"18","issue":"01","first_page":"1","last_page":"8"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11671","display_name":"Fuzzy and Soft Set Theory","score":0.9998999834060669,"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":0.9998999834060669,"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":0.9941999912261963,"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/T11063","display_name":"Rough Sets and Fuzzy Logic","score":0.9767000079154968,"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/semigroup","display_name":"Semigroup","score":0.7929973602294922},{"id":"https://openalex.org/keywords/ideal","display_name":"Ideal (ethics)","score":0.7894155979156494},{"id":"https://openalex.org/keywords/simple","display_name":"Simple (philosophy)","score":0.7202631235122681},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.6484454870223999},{"id":"https://openalex.org/keywords/relation","display_name":"Relation (database)","score":0.4632483720779419},{"id":"https://openalex.org/keywords/algebra-over-a-field","display_name":"Algebra over a field","score":0.37450650334358215},{"id":"https://openalex.org/keywords/pure-mathematics","display_name":"Pure mathematics","score":0.3146682381629944},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.29988253116607666},{"id":"https://openalex.org/keywords/data-mining","display_name":"Data mining","score":0.08483591675758362}],"concepts":[{"id":"https://openalex.org/C207405024","wikidata":"https://www.wikidata.org/wiki/Q207348","display_name":"Semigroup","level":2,"score":0.7929973602294922},{"id":"https://openalex.org/C2776639384","wikidata":"https://www.wikidata.org/wiki/Q840396","display_name":"Ideal (ethics)","level":2,"score":0.7894155979156494},{"id":"https://openalex.org/C2780586882","wikidata":"https://www.wikidata.org/wiki/Q7520643","display_name":"Simple (philosophy)","level":2,"score":0.7202631235122681},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.6484454870223999},{"id":"https://openalex.org/C25343380","wikidata":"https://www.wikidata.org/wiki/Q277521","display_name":"Relation (database)","level":2,"score":0.4632483720779419},{"id":"https://openalex.org/C136119220","wikidata":"https://www.wikidata.org/wiki/Q1000660","display_name":"Algebra over a field","level":2,"score":0.37450650334358215},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.3146682381629944},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.29988253116607666},{"id":"https://openalex.org/C124101348","wikidata":"https://www.wikidata.org/wiki/Q172491","display_name":"Data mining","level":1,"score":0.08483591675758362},{"id":"https://openalex.org/C138885662","wikidata":"https://www.wikidata.org/wiki/Q5891","display_name":"Philosophy","level":0,"score":0.0},{"id":"https://openalex.org/C111472728","wikidata":"https://www.wikidata.org/wiki/Q9471","display_name":"Epistemology","level":1,"score":0.0}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.1142/s1793005722500016","is_oa":false,"landing_page_url":"https://doi.org/10.1142/s1793005722500016","pdf_url":null,"source":{"id":"https://openalex.org/S135331755","display_name":"New Mathematics and Natural Computation","issn_l":"1793-0057","issn":["1793-0057","1793-7027"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319815","host_organization_name":"World Scientific","host_organization_lineage":["https://openalex.org/P4310319815"],"host_organization_lineage_names":["World Scientific"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"New Mathematics and Natural Computation","raw_type":"journal-article"},{"id":"pmh:oai:RePEc:wsi:nmncxx:v:18:y:2022:i:01:n:s1793005722500016","is_oa":false,"landing_page_url":"http://www.worldscientific.com/doi/abs/10.1142/S1793005722500016","pdf_url":null,"source":{"id":"https://openalex.org/S4306401271","display_name":"RePEc: Research Papers in Economics","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I77793887","host_organization_name":"Federal Reserve Bank of St. Louis","host_organization_lineage":["https://openalex.org/I77793887"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"article"}],"best_oa_location":null,"sustainable_development_goals":[{"id":"https://metadata.un.org/sdg/16","display_name":"Peace, Justice and strong institutions","score":0.550000011920929}],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":12,"referenced_works":["https://openalex.org/W1990262736","https://openalex.org/W2019529630","https://openalex.org/W2024822974","https://openalex.org/W2026036425","https://openalex.org/W2079445480","https://openalex.org/W2728925418","https://openalex.org/W2987778001","https://openalex.org/W3039718276","https://openalex.org/W3133185918","https://openalex.org/W4210778630","https://openalex.org/W4211007335","https://openalex.org/W4311449831"],"related_works":["https://openalex.org/W4234874385","https://openalex.org/W1585007175","https://openalex.org/W2382521049","https://openalex.org/W2323648130","https://openalex.org/W2144385241","https://openalex.org/W2157140558","https://openalex.org/W2378782423","https://openalex.org/W2590472383","https://openalex.org/W2465992524","https://openalex.org/W2472215111"],"abstract_inverted_index":{"We":[0,33,55],"are":[1,34],"fully":[2],"aware":[3],"that":[4],"an":[5,49,83],"ordered":[6,50,67,84],"semigroup":[7,51,68,85],"has":[8],"a":[9],"very":[10],"close":[11],"relation":[12],"with":[13,18],"theoretical":[14],"computer":[15],"science,":[16],"especially":[17],"the":[19,38,79],"theory":[20],"of":[21,41,71],"pattern":[22],"recognition,":[23],"decision":[24],"processes,":[25],"artificial":[26],"intelligence,":[27],"information":[28],"retrieval":[29],"and":[30,45,62,65],"so":[31],"on.":[32],"eager":[35],"to":[36,86],"introduce":[37],"new":[39],"concepts":[40],"hybrid":[42,46,58,73],"interior":[43,63],"ideals":[44,61],"simple":[47],"in":[48,52,69],"this":[53],"paper.":[54],"discuss":[56],"characteristic":[57],"structures":[59],"using":[60],"ideals,":[64],"characterize":[66],"terms":[70],"different":[72],"ideal":[74],"structures.":[75],"Further,":[76],"we":[77],"establish":[78],"equivalent":[80],"condition":[81],"for":[82],"be":[87],"simple.":[88]},"counts_by_year":[{"year":2024,"cited_by_count":2},{"year":2023,"cited_by_count":5},{"year":2022,"cited_by_count":3}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}
