{"id":"https://openalex.org/W6902581405","doi":"https://doi.org/10.71602/tfss.2025.1130042","title":"Generalized Interval-Valued Neutrosophic Set and Its Application","display_name":"Generalized Interval-Valued Neutrosophic Set and Its Application","publication_year":2024,"publication_date":"2024-08-25","ids":{"openalex":"https://openalex.org/W6902581405","doi":"https://doi.org/10.71602/tfss.2025.1130042"},"language":"en","primary_location":{"id":"pmh:oai:doaj.org/article:d2268d86ed83485fbdf8142f3eaef6e7","is_oa":true,"landing_page_url":"https://doaj.org/article/d2268d86ed83485fbdf8142f3eaef6e7","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":"Transactions on Fuzzy Sets and Systems, Vol 4, Iss 2, Pp 1-13 (2025)","raw_type":"article"},"type":"article","indexed_in":["datacite","doaj"],"open_access":{"is_oa":true,"oa_status":"green","oa_url":"https://doaj.org/article/d2268d86ed83485fbdf8142f3eaef6e7","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":null,"display_name":"Mukherjee, Anjan","orcid":"https://orcid.org/0000-0002-5020-5958"},"institutions":[{"id":"https://openalex.org/I196486160","display_name":"National Institute of Technology Agartala","ror":"https://ror.org/03swyrn62","country_code":"IN","type":"education","lineage":["https://openalex.org/I196486160"]}],"countries":["IN"],"is_corresponding":true,"raw_author_name":"Mukherjee, Anjan","raw_affiliation_strings":["Department of Mathematics, Tripura University Agartala, Agartala, India, Pin-977022"],"raw_orcid":"https://orcid.org/0000-0002-5020-5958","affiliations":[{"raw_affiliation_string":"Department of Mathematics, Tripura University Agartala, Agartala, India, Pin-977022","institution_ids":["https://openalex.org/I196486160"]}]},{"author_position":"last","author":{"id":null,"display_name":"Das, Rakhal","orcid":"https://orcid.org/0000-0002-0895-2976"},"institutions":[{"id":"https://openalex.org/I173462786","display_name":"ICFAI University, Tripura","ror":"https://ror.org/01c06s784","country_code":"IN","type":"education","lineage":["https://openalex.org/I173462786"]}],"countries":["IN"],"is_corresponding":false,"raw_author_name":"Das, Rakhal","raw_affiliation_strings":["Department of Mathematics, The ICFAI University Tripura, Agartala, India, Pin-977210"],"raw_orcid":"https://orcid.org/0000-0002-0895-2976","affiliations":[{"raw_affiliation_string":"Department of Mathematics, The ICFAI University Tripura, Agartala, India, Pin-977210","institution_ids":["https://openalex.org/I173462786"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":2,"corresponding_author_ids":[],"corresponding_institution_ids":["https://openalex.org/I196486160"],"apc_list":null,"apc_paid":null,"fwci":0.0,"has_fulltext":false,"cited_by_count":0,"citation_normalized_percentile":{"value":0.40669185,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":null,"biblio":{"volume":null,"issue":null,"first_page":null,"last_page":null},"is_retracted":false,"is_paratext":false,"is_xpac":true,"primary_topic":{"id":"https://openalex.org/T11671","display_name":"Fuzzy and Soft Set Theory","score":0.4381999969482422,"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":0.4381999969482422,"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/T10050","display_name":"Multi-Criteria Decision Making","score":0.35530000925064087,"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/T14262","display_name":"Extenics and Innovation Methods","score":0.013500000350177288,"subfield":{"id":"https://openalex.org/subfields/2206","display_name":"Computational Mechanics"},"field":{"id":"https://openalex.org/fields/22","display_name":"Engineering"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/topological-space","display_name":"Topological space","score":0.6078000068664551},{"id":"https://openalex.org/keywords/generalized-function","display_name":"Generalized function","score":0.46790000796318054},{"id":"https://openalex.org/keywords/set","display_name":"Set (abstract data type)","score":0.44780001044273376},{"id":"https://openalex.org/keywords/key","display_name":"Key (lock)","score":0.4343999922275543},{"id":"https://openalex.org/keywords/function","display_name":"Function (biology)","score":0.4293999969959259},{"id":"https://openalex.org/keywords/algebra-over-a-field","display_name":"Algebra over a field","score":0.4259999990463257},{"id":"https://openalex.org/keywords/function-space","display_name":"Function space","score":0.3684999942779541}],"concepts":[{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.7739999890327454},{"id":"https://openalex.org/C81332173","wikidata":"https://www.wikidata.org/wiki/Q179899","display_name":"Topological space","level":2,"score":0.6078000068664551},{"id":"https://openalex.org/C69151251","wikidata":"https://www.wikidata.org/wiki/Q846537","display_name":"Generalized function","level":2,"score":0.46790000796318054},{"id":"https://openalex.org/C177264268","wikidata":"https://www.wikidata.org/wiki/Q1514741","display_name":"Set (abstract data type)","level":2,"score":0.44780001044273376},{"id":"https://openalex.org/C26517878","wikidata":"https://www.wikidata.org/wiki/Q228039","display_name":"Key (lock)","level":2,"score":0.4343999922275543},{"id":"https://openalex.org/C14036430","wikidata":"https://www.wikidata.org/wiki/Q3736076","display_name":"Function (biology)","level":2,"score":0.4293999969959259},{"id":"https://openalex.org/C136119220","wikidata":"https://www.wikidata.org/wiki/Q1000660","display_name":"Algebra over a field","level":2,"score":0.4259999990463257},{"id":"https://openalex.org/C142730499","wikidata":"https://www.wikidata.org/wiki/Q934367","display_name":"Function space","level":2,"score":0.3684999942779541},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.3431999981403351},{"id":"https://openalex.org/C153046414","wikidata":"https://www.wikidata.org/wiki/Q12482","display_name":"Set theory","level":3,"score":0.3070000112056732},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.3000999987125397},{"id":"https://openalex.org/C117355083","wikidata":"https://www.wikidata.org/wiki/Q855729","display_name":"Generalized mean","level":2,"score":0.2992999851703644},{"id":"https://openalex.org/C42011625","wikidata":"https://www.wikidata.org/wiki/Q1055058","display_name":"Fuzzy set","level":3,"score":0.2858999967575073},{"id":"https://openalex.org/C184720557","wikidata":"https://www.wikidata.org/wiki/Q7825049","display_name":"Topology (electrical circuits)","level":2,"score":0.27390000224113464},{"id":"https://openalex.org/C65660741","wikidata":"https://www.wikidata.org/wiki/Q3952743","display_name":"Score","level":2,"score":0.26649999618530273},{"id":"https://openalex.org/C164953516","wikidata":"https://www.wikidata.org/wiki/Q320357","display_name":"Closed set","level":2,"score":0.2655999958515167},{"id":"https://openalex.org/C58166","wikidata":"https://www.wikidata.org/wiki/Q224821","display_name":"Fuzzy logic","level":2,"score":0.2554999887943268}],"mesh":[],"locations_count":2,"locations":[{"id":"pmh:oai:doaj.org/article:d2268d86ed83485fbdf8142f3eaef6e7","is_oa":true,"landing_page_url":"https://doaj.org/article/d2268d86ed83485fbdf8142f3eaef6e7","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":"Transactions on Fuzzy Sets and Systems, Vol 4, Iss 2, Pp 1-13 (2025)","raw_type":"article"},{"id":"doi:10.71602/tfss.2025.1130042","is_oa":true,"landing_page_url":"https://doi.org/10.71602/tfss.2025.1130042","pdf_url":null,"source":{"id":"https://openalex.org/S169411308","display_name":"Fuzzy Sets and Systems","issn_l":"0165-0114","issn":["0165-0114","1872-6801"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320990","host_organization_name":"Elsevier BV","host_organization_lineage":["https://openalex.org/P4310320990"],"host_organization_lineage_names":["Elsevier BV"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":null,"is_accepted":false,"is_published":null,"raw_source_name":null,"raw_type":"article-journal"}],"best_oa_location":{"id":"pmh:oai:doaj.org/article:d2268d86ed83485fbdf8142f3eaef6e7","is_oa":true,"landing_page_url":"https://doaj.org/article/d2268d86ed83485fbdf8142f3eaef6e7","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":"Transactions on Fuzzy Sets and Systems, Vol 4, Iss 2, Pp 1-13 (2025)","raw_type":"article"},"sustainable_development_goals":[{"score":0.6925634741783142,"display_name":"Peace, Justice and strong institutions","id":"https://metadata.un.org/sdg/16"}],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":0,"referenced_works":[],"related_works":[],"abstract_inverted_index":{"In":[0],"this":[1],"work,":[2],"we":[3,23,42],"introduce":[4],"the":[5,14,30,44,60],"idea":[6],"of":[7,17,46,62],"generalized":[8,33,47,53,63,70],"interval-valued":[9,34,54,64,71],"neutrosophic":[10,35,48,55,65,72],"sets.":[11],"After":[12],"providing":[13],"fundamental":[15],"definitions":[16],"operations":[18],"related":[19,39],"to":[20,51],"these":[21],"sets,":[22],"establish":[24],"several":[25],"key":[26],"properties":[27],"and":[28,37],"explore":[29],"relationships":[31],"between":[32,68],"sets":[36],"other":[38],"concepts.":[40],"Finally,":[41],"extend":[43],"notion":[45],"topological":[49,56,73],"spaces":[50],"incorporate":[52],"spaces.":[57,74],"We":[58],"define":[59],"concept":[61],"g-continuous":[66],"function":[67],"two":[69],"Lastly,":[75],"an":[76],"application":[77],"has":[78],"been":[79],"shown":[80],"in":[81],"decision":[82],"making":[83],"problem.":[84]},"counts_by_year":[],"updated_date":"2026-05-06T08:25:59.206177","created_date":"2025-10-10T00:00:00"}