{"id":"https://openalex.org/W6977630269","doi":"https://doi.org/10.71602/tfss.2026.1194037","title":"A Novel Generalized Interval-Valued Neutrosophic Rough Soft Set Framework for Enhanced Decision-Making: Application in Water Quality Assessment","display_name":"A Novel Generalized Interval-Valued Neutrosophic Rough Soft Set Framework for Enhanced Decision-Making: Application in Water Quality Assessment","publication_year":2024,"publication_date":"2024-12-20","ids":{"openalex":"https://openalex.org/W6977630269","doi":"https://doi.org/10.71602/tfss.2026.1194037"},"language":"en","primary_location":{"id":"pmh:oai:doaj.org/article:00c8dc4c176d413badfe97e8870929fd","is_oa":false,"landing_page_url":"https://doaj.org/article/00c8dc4c176d413badfe97e8870929fd","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":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"Transactions on Fuzzy Sets and Systems, Vol 5, Iss 1, Pp 1-25 (2026)","raw_type":"article"},"type":"article","indexed_in":["datacite","doaj"],"open_access":{"is_oa":true,"oa_status":"green","oa_url":"https://doi.org/10.71602/tfss.2026.1194037","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"]},{"id":"https://openalex.org/I4210156902","display_name":"Maharaja Bir Bikram University","ror":"https://ror.org/05afd6695","country_code":"IN","type":"education","lineage":["https://openalex.org/I4210156902"]}],"countries":["IN"],"is_corresponding":true,"raw_author_name":"Mukherjee, Anjan","raw_affiliation_strings":["Department of Mathematics, Tripura University Agartala, Agartala, India"],"raw_orcid":"https://orcid.org/0000-0002-5020-5958","affiliations":[{"raw_affiliation_string":"Department of Mathematics, Tripura University Agartala, Agartala, India","institution_ids":["https://openalex.org/I196486160","https://openalex.org/I4210156902"]}]},{"author_position":"middle","author":{"id":null,"display_name":"Das, Ajoy Kanti","orcid":"https://orcid.org/0000-0002-9326-1677"},"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"]},{"id":"https://openalex.org/I4210156902","display_name":"Maharaja Bir Bikram University","ror":"https://ror.org/05afd6695","country_code":"IN","type":"education","lineage":["https://openalex.org/I4210156902"]}],"countries":["IN"],"is_corresponding":false,"raw_author_name":"Das, Ajoy Kanti","raw_affiliation_strings":["Department of Mathematics, Tripura University Agartala, Agartala, India"],"raw_orcid":"https://orcid.org/0000-0002-9326-1677","affiliations":[{"raw_affiliation_string":"Department of Mathematics, Tripura University Agartala, Agartala, India","institution_ids":["https://openalex.org/I196486160","https://openalex.org/I4210156902"]}]},{"author_position":"middle","author":{"id":null,"display_name":"Gupta, Nandini","orcid":"https://orcid.org/0009-0000-5450-9783"},"institutions":[{"id":"https://openalex.org/I4210156902","display_name":"Maharaja Bir Bikram University","ror":"https://ror.org/05afd6695","country_code":"IN","type":"education","lineage":["https://openalex.org/I4210156902"]}],"countries":["IN"],"is_corresponding":false,"raw_author_name":"Gupta, Nandini","raw_affiliation_strings":["Department of Mathematics, Bir Bikram Memorial College, Agartala, India"],"raw_orcid":"https://orcid.org/0009-0000-5450-9783","affiliations":[{"raw_affiliation_string":"Department of Mathematics, Bir Bikram Memorial College, Agartala, India","institution_ids":["https://openalex.org/I4210156902"]}]},{"author_position":"middle","author":{"id":null,"display_name":"Patra, Suman","orcid":"https://orcid.org/0009-0003-9795-7887"},"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"]},{"id":"https://openalex.org/I4210156902","display_name":"Maharaja Bir Bikram University","ror":"https://ror.org/05afd6695","country_code":"IN","type":"education","lineage":["https://openalex.org/I4210156902"]}],"countries":["IN"],"is_corresponding":false,"raw_author_name":"Patra, Suman","raw_affiliation_strings":["Department of Mathematics, Tripura University Agartala, Agartala, India"],"raw_orcid":"https://orcid.org/0009-0003-9795-7887","affiliations":[{"raw_affiliation_string":"Department of Mathematics, Tripura University Agartala, Agartala, India","institution_ids":["https://openalex.org/I196486160","https://openalex.org/I4210156902"]}]},{"author_position":"middle","author":{"id":null,"display_name":"Mahmood, Tahir","orcid":"https://orcid.org/0000-0002-3871-3845"},"institutions":[{"id":"https://openalex.org/I121243025","display_name":"International Islamic University, Islamabad","ror":"https://ror.org/047w75g40","country_code":"PK","type":"education","lineage":["https://openalex.org/I121243025"]}],"countries":["PK"],"is_corresponding":false,"raw_author_name":"Mahmood, Tahir","raw_affiliation_strings":["Department of Mathematics and Statistics, International Islamic University Islamabad, Islamabad, Pakistan"],"raw_orcid":"https://orcid.org/0000-0002-3871-3845","affiliations":[{"raw_affiliation_string":"Department of Mathematics and Statistics, International Islamic University Islamabad, Islamabad, Pakistan","institution_ids":["https://openalex.org/I121243025"]}]},{"author_position":"middle","author":{"id":null,"display_name":"Das, Suman","orcid":"https://orcid.org/0000-0001-5682-9334"},"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":false,"raw_author_name":"Das, Suman","raw_affiliation_strings":["Department of Education (ITEP), NIT, Agartala, Tripura, India"],"raw_orcid":"https://orcid.org/0000-0001-5682-9334","affiliations":[{"raw_affiliation_string":"Department of Education (ITEP), NIT, Agartala, Tripura, India","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"],"raw_orcid":"https://orcid.org/0000-0002-0895-2976","affiliations":[{"raw_affiliation_string":"Department of Mathematics, The ICFAI University Tripura, Agartala, India","institution_ids":["https://openalex.org/I173462786"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":7,"corresponding_author_ids":[],"corresponding_institution_ids":["https://openalex.org/I196486160","https://openalex.org/I4210156902"],"apc_list":null,"apc_paid":null,"fwci":0.0,"has_fulltext":false,"cited_by_count":0,"citation_normalized_percentile":{"value":0.543773,"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":0.4634999930858612,"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":0.4634999930858612,"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/T11634","display_name":"Water Quality and Pollution Assessment","score":0.1289999932050705,"subfield":{"id":"https://openalex.org/subfields/2312","display_name":"Water Science and Technology"},"field":{"id":"https://openalex.org/fields/23","display_name":"Environmental 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":0.10970000177621841,"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/rough-set","display_name":"Rough set","score":0.7412999868392944},{"id":"https://openalex.org/keywords/vagueness","display_name":"Vagueness","score":0.6862999796867371},{"id":"https://openalex.org/keywords/set","display_name":"Set (abstract data type)","score":0.5040000081062317},{"id":"https://openalex.org/keywords/quality","display_name":"Quality (philosophy)","score":0.5008000135421753},{"id":"https://openalex.org/keywords/water-quality","display_name":"Water quality","score":0.44760000705718994},{"id":"https://openalex.org/keywords/indeterminacy","display_name":"Indeterminacy (philosophy)","score":0.44699999690055847},{"id":"https://openalex.org/keywords/water-resources","display_name":"Water resources","score":0.4059999883174896},{"id":"https://openalex.org/keywords/key","display_name":"Key (lock)","score":0.3752000033855438}],"concepts":[{"id":"https://openalex.org/C111012933","wikidata":"https://www.wikidata.org/wiki/Q3137210","display_name":"Rough set","level":2,"score":0.7412999868392944},{"id":"https://openalex.org/C2776825360","wikidata":"https://www.wikidata.org/wiki/Q1411921","display_name":"Vagueness","level":3,"score":0.6862999796867371},{"id":"https://openalex.org/C124101348","wikidata":"https://www.wikidata.org/wiki/Q172491","display_name":"Data mining","level":1,"score":0.5357000231742859},{"id":"https://openalex.org/C177264268","wikidata":"https://www.wikidata.org/wiki/Q1514741","display_name":"Set (abstract data type)","level":2,"score":0.5040000081062317},{"id":"https://openalex.org/C2779530757","wikidata":"https://www.wikidata.org/wiki/Q1207505","display_name":"Quality (philosophy)","level":2,"score":0.5008000135421753},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.4666999876499176},{"id":"https://openalex.org/C2780797713","wikidata":"https://www.wikidata.org/wiki/Q625376","display_name":"Water quality","level":2,"score":0.44760000705718994},{"id":"https://openalex.org/C2777366796","wikidata":"https://www.wikidata.org/wiki/Q6017758","display_name":"Indeterminacy (philosophy)","level":2,"score":0.44699999690055847},{"id":"https://openalex.org/C153823671","wikidata":"https://www.wikidata.org/wiki/Q1049799","display_name":"Water resources","level":2,"score":0.4059999883174896},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.39500001072883606},{"id":"https://openalex.org/C26517878","wikidata":"https://www.wikidata.org/wiki/Q228039","display_name":"Key (lock)","level":2,"score":0.3752000033855438},{"id":"https://openalex.org/C42011625","wikidata":"https://www.wikidata.org/wiki/Q1055058","display_name":"Fuzzy set","level":3,"score":0.3725000023841858},{"id":"https://openalex.org/C2780522230","wikidata":"https://www.wikidata.org/wiki/Q1140419","display_name":"Ambiguity","level":2,"score":0.3718999922275543},{"id":"https://openalex.org/C119857082","wikidata":"https://www.wikidata.org/wiki/Q2539","display_name":"Machine learning","level":1,"score":0.36250001192092896},{"id":"https://openalex.org/C153046414","wikidata":"https://www.wikidata.org/wiki/Q12482","display_name":"Set theory","level":3,"score":0.3580000102519989},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.3402999937534332},{"id":"https://openalex.org/C198302294","wikidata":"https://www.wikidata.org/wiki/Q215624","display_name":"Biochemical oxygen demand","level":4,"score":0.31279999017715454},{"id":"https://openalex.org/C39105242","wikidata":"https://www.wikidata.org/wiki/Q5290286","display_name":"Dominance-based rough set approach","level":3,"score":0.30239999294281006},{"id":"https://openalex.org/C58166","wikidata":"https://www.wikidata.org/wiki/Q224821","display_name":"Fuzzy logic","level":2,"score":0.30230000615119934},{"id":"https://openalex.org/C103278499","wikidata":"https://www.wikidata.org/wiki/Q254465","display_name":"Similarity (geometry)","level":3,"score":0.30079999566078186},{"id":"https://openalex.org/C3020001037","wikidata":"https://www.wikidata.org/wiki/Q836575","display_name":"Quality assessment","level":3,"score":0.263700008392334},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.25110000371932983}],"mesh":[],"locations_count":2,"locations":[{"id":"pmh:oai:doaj.org/article:00c8dc4c176d413badfe97e8870929fd","is_oa":false,"landing_page_url":"https://doaj.org/article/00c8dc4c176d413badfe97e8870929fd","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":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"Transactions on Fuzzy Sets and Systems, Vol 5, Iss 1, Pp 1-25 (2026)","raw_type":"article"},{"id":"doi:10.71602/tfss.2026.1194037","is_oa":true,"landing_page_url":"https://doi.org/10.71602/tfss.2026.1194037","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":"doi:10.71602/tfss.2026.1194037","is_oa":true,"landing_page_url":"https://doi.org/10.71602/tfss.2026.1194037","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":false,"raw_source_name":null,"raw_type":"article-journal"},"sustainable_development_goals":[{"score":0.5291828513145447,"display_name":"Clean water and sanitation","id":"https://metadata.un.org/sdg/6"}],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":0,"referenced_works":[],"related_works":[],"abstract_inverted_index":{"This":[0,172],"study":[1,112,173],"introduces":[2],"a":[3,39,83,151,194],"novel":[4,64],"framework,":[5],"Generalized":[6],"Interval-Valued":[7],"Neutrosophic":[8],"Rough":[9],"Soft":[10],"Sets":[11],"(GIVNRS":[12],"sets),":[13],"designed":[14],"to":[15,144,159,177],"improve":[16],"handling":[17],"uncertainty,":[18],"imprecision,":[19],"and":[20,30,45,63,105,132,147,153,170,184,210],"vagueness":[21],"in":[22,207],"complex":[23],"decision-making":[24,71],"scenarios.":[25],"By":[26],"integrating":[27],"soft,":[28,183],"rough,":[29],"generalized":[31],"interval-valued":[32],"neutrosophic":[33],"set":[34,164,186],"theories,":[35],"the":[36,78,116,120,126,141,162,178,208],"framework":[37,79],"offers":[38,166],"robust":[40],"methodology":[41],"for":[42,69,119,197],"addressing":[43],"indeterminacy":[44],"incomplete":[46,146],"data.":[47],"The":[48,74,110],"theoretical":[49,179],"foundation":[50],"of":[51,77,181,213],"GIVNRS":[52,163,191],"sets":[53,192],"is":[54,80],"built":[55],"upon":[56],"fundamental":[57],"operations,":[58],"including":[59],"intersection,":[60],"union,":[61],"complement,":[62],"aggregation":[65],"union":[66],"operators":[67],"tailored":[68],"multi-criteria":[70],"(MCDM)":[72],"applications.":[73],"practical":[75],"applicability":[76],"demonstrated":[81],"through":[82],"water":[84,96,155,198],"quality":[85,97,156,199],"assessment,":[86],"where":[87],"it":[88],"successfully":[89],"classifies":[90],"river":[91,121],"segments":[92,122,127],"based":[93],"on":[94],"key":[95],"parameters":[98],"such":[99,128],"as":[100,129,193],"pH,":[101],"Dissolved":[102],"Oxygen":[103,107],"(DO),":[104],"Biochemical":[106],"Demand":[108],"(BOD).":[109],"case":[111],"results":[113],"show":[114],"that":[115],"pollution":[117,136],"scores":[118],"were":[123],"computed,":[124],"classifying":[125],"\u201cGood,\u201d":[130],"\u201cModerate,\u201d":[131],"\u201cPoor,\u201d":[133],"with":[134],"corresponding":[135],"levels.":[137],"These":[138],"findings":[139],"highlight":[140],"framework\u2019s":[142],"ability":[143],"manage":[145],"inconsistent":[148],"data,":[149],"providing":[150],"reliable":[152],"comprehensive":[154],"evaluation.":[157],"Compared":[158],"traditional":[160],"models,":[161],"approach":[165],"enhanced":[167],"flexibility,":[168],"stability,":[169],"adaptability.":[171],"not":[174],"only":[175],"contributes":[176],"development":[180],"neutrosophic,":[182],"rough":[185],"theories":[187],"but":[188],"also":[189],"establishes":[190],"powerful":[195],"tool":[196],"decision-making.":[200],"Future":[201],"research":[202],"will":[203],"explore":[204],"further":[205],"advancements":[206],"application":[209],"computational":[211],"efficiency":[212],"this":[214],"framework.":[215]},"counts_by_year":[],"updated_date":"2026-05-06T08:25:59.206177","created_date":"2025-10-10T00:00:00"}
