{"id":"https://openalex.org/W4403785996","doi":"https://doi.org/10.30538/oms2022.0191","title":"Ideal theory of interval neutrosophic sets in subtraction algebras","display_name":"Ideal theory of interval neutrosophic sets in subtraction algebras","publication_year":2022,"publication_date":"2022-12-31","ids":{"openalex":"https://openalex.org/W4403785996","doi":"https://doi.org/10.30538/oms2022.0191"},"language":"en","primary_location":{"id":"doi:10.30538/oms2022.0191","doi":"https://doi.org/10.30538/oms2022.0191","is_oa":true,"landing_page_url":"https://doi.org/10.30538/oms2022.0191","pdf_url":"https://doi.org/10.30538/oms2022.0191","source":{"id":"https://openalex.org/S4210218690","display_name":"Open Journal of Mathematical Sciences","issn_l":"2523-0212","issn":["2523-0212","2616-4906"],"is_oa":true,"is_in_doaj":false,"is_core":false,"listed_in":["jufo-1"],"host_organization":null,"host_organization_name":null,"host_organization_lineage":[],"host_organization_lineage_names":[],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Open Journal of Mathematical Sciences","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://doi.org/10.30538/oms2022.0191","any_repository_has_fulltext":false},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5062860402","display_name":"V. Subha","orcid":"https://orcid.org/0000-0003-1338-7323","observed_orcids":["https://orcid.org/0000-0003-1338-7323"]},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"V. S. Subha","raw_affiliation_strings":["Post Graduate and Research Department of Mathematics , Government Arts College , C. Mutlur , Tamilnadu - 608102 , India"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Post Graduate and Research Department of Mathematics , Government Arts College , C. Mutlur , Tamilnadu - 608102 , India","institution_ids":[]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5109351161","display_name":"P. Dhanalakshmi","orcid":"https://orcid.org/0000-0002-4842-8992","observed_orcids":["https://orcid.org/0000-0002-4842-8992"]},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"P. Dhanalakshmi","raw_affiliation_strings":["CKNC College for Women , Cuddalore , Tamilnadu - 607001 , India"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"CKNC College for Women , Cuddalore , Tamilnadu - 607001 , India","institution_ids":[]}]}],"institutions":[],"countries_distinct_count":0,"institutions_distinct_count":0,"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":0.0,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":null,"biblio":{"volume":"6","issue":"1","first_page":"262","last_page":"268"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11671","display_name":"Fuzzy and Soft Set Theory","score":0.9243000149726868,"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":0.9243000149726868,"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":0.07320000231266022,"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/T14500","display_name":"Smarandache Functions and Recreational Number Theory","score":0.001500000013038516,"subfield":{"id":"https://openalex.org/subfields/2610","display_name":"Mathematical Physics"},"field":{"id":"https://openalex.org/fields/26","display_name":"Mathematics"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/interval-valued-neutrosophic-sets","display_name":"interval neutrosophic sets","score":0.9950000047683716},{"id":"https://openalex.org/keywords/homomorphisms","display_name":"homomorphisms","score":0.8330000042915344}],"concepts":[{"id":"https://openalex.org/C2776639384","wikidata":"https://www.wikidata.org/wiki/Q840396","display_name":"Ideal (ethics)","level":2,"score":0.8087279796600342},{"id":"https://openalex.org/C68060419","wikidata":"https://www.wikidata.org/wiki/Q40754","display_name":"Subtraction","level":2,"score":0.7567220330238342},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.6620419025421143},{"id":"https://openalex.org/C2778067643","wikidata":"https://www.wikidata.org/wiki/Q166507","display_name":"Interval (graph theory)","level":2,"score":0.6198160648345947},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.450738787651062},{"id":"https://openalex.org/C136119220","wikidata":"https://www.wikidata.org/wiki/Q1000660","display_name":"Algebra over a field","level":2,"score":0.3930903673171997},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.3475944399833679},{"id":"https://openalex.org/C94375191","wikidata":"https://www.wikidata.org/wiki/Q11205","display_name":"Arithmetic","level":1,"score":0.3436897397041321},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.2521795630455017},{"id":"https://openalex.org/C138885662","wikidata":"https://www.wikidata.org/wiki/Q5891","display_name":"Philosophy","level":0,"score":0.1942979097366333},{"id":"https://openalex.org/C111472728","wikidata":"https://www.wikidata.org/wiki/Q9471","display_name":"Epistemology","level":1,"score":0.11283612251281738}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.30538/oms2022.0191","doi":"https://doi.org/10.30538/oms2022.0191","is_oa":true,"landing_page_url":"https://doi.org/10.30538/oms2022.0191","pdf_url":"https://doi.org/10.30538/oms2022.0191","source":{"id":"https://openalex.org/S4210218690","display_name":"Open Journal of Mathematical Sciences","issn_l":"2523-0212","issn":["2523-0212","2616-4906"],"is_oa":true,"is_in_doaj":false,"is_core":false,"listed_in":["jufo-1"],"host_organization":null,"host_organization_name":null,"host_organization_lineage":[],"host_organization_lineage_names":[],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Open Journal of Mathematical Sciences","raw_type":"journal-article"}],"best_oa_location":{"id":"doi:10.30538/oms2022.0191","doi":"https://doi.org/10.30538/oms2022.0191","is_oa":true,"landing_page_url":"https://doi.org/10.30538/oms2022.0191","pdf_url":"https://doi.org/10.30538/oms2022.0191","source":{"id":"https://openalex.org/S4210218690","display_name":"Open Journal of Mathematical Sciences","issn_l":"2523-0212","issn":["2523-0212","2616-4906"],"is_oa":true,"is_in_doaj":false,"is_core":false,"listed_in":["jufo-1"],"host_organization":null,"host_organization_name":null,"host_organization_lineage":[],"host_organization_lineage_names":[],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Open Journal of Mathematical Sciences","raw_type":"journal-article"},"sustainable_development_goals":[],"study_designs":[],"awards":[],"funders":[],"has_content":{"grobid_xml":true,"pdf":true},"content_urls":{"pdf":"https://content.openalex.org/works/W4403785996.pdf","grobid_xml":"https://content.openalex.org/works/W4403785996.grobid-xml"},"referenced_works_count":0,"referenced_works":[],"related_works":["https://openalex.org/W4390087069","https://openalex.org/W3017412185","https://openalex.org/W3017948216","https://openalex.org/W4287854469","https://openalex.org/W7083183751","https://openalex.org/W2964088762","https://openalex.org/W7095239758","https://openalex.org/W4393408887","https://openalex.org/W6929867935","https://openalex.org/W7172453888"],"abstract_inverted_index":{"In":[0],"this":[1],"paper,":[2],"we":[3,53],"introduce":[4,15],"the":[5,16,55,65],"notion":[6],"of":[7,20,30,59,67],"interval":[8,21,37,60,69,75],"neutrosophic":[9,22,32,38,61,70,76],"ideals":[10,33],"in":[11,24],"subtraction":[12,25],"algebras.":[13,26],"Also,":[14],"intersection":[17,29],"and":[18,43,57],"union":[19],"sets":[23],"We":[27,63],"prove":[28,64],"two-interval":[31],"is":[34,72],"also":[35,73],"an":[36,48,68,74],"ideal.":[39],"Some":[40],"exciting":[41],"properties":[42],"results":[44],"based":[45],"on":[46],"such":[47],"ideal":[49],"are":[50],"discussed.":[51],"Moreover,":[52],"define":[54],"homomorphism":[56,58],"sets.":[62],"image":[66],"subalgebra":[71],"sub-algebra.":[77]},"counts_by_year":[],"updated_date":"2026-11-04T10:54:05.112534","created_date":"2024-10-26T00:00:00"}