{"id":"https://openalex.org/W7119524618","doi":"https://doi.org/10.1155/adfs/7832893","title":"Multidimensional Topological Measure Spaces and Their Applications in Decision\u2010Making Problems","display_name":"Multidimensional Topological Measure Spaces and Their Applications in Decision\u2010Making Problems","publication_year":2026,"publication_date":"2026-01-01","ids":{"openalex":"https://openalex.org/W7119524618","doi":"https://doi.org/10.1155/adfs/7832893"},"language":"en","primary_location":{"id":"doi:10.1155/adfs/7832893","is_oa":true,"landing_page_url":"https://doi.org/10.1155/adfs/7832893","pdf_url":"https://onlinelibrary.wiley.com/doi/pdfdirect/10.1155/adfs/7832893","source":{"id":"https://openalex.org/S117816480","display_name":"Advances in Fuzzy Systems","issn_l":"1687-7101","issn":["1687-7101","1687-711X"],"is_oa":true,"is_in_doaj":true,"is_core":true,"host_organization":"https://openalex.org/P4310319869","host_organization_name":"Hindawi Publishing Corporation","host_organization_lineage":["https://openalex.org/P4310319869"],"host_organization_lineage_names":["Hindawi Publishing Corporation"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Advances in Fuzzy Systems","raw_type":"journal-article"},"type":"article","indexed_in":["crossref","doaj"],"open_access":{"is_oa":true,"oa_status":"gold","oa_url":"https://onlinelibrary.wiley.com/doi/pdfdirect/10.1155/adfs/7832893","any_repository_has_fulltext":false},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5092642348","display_name":"Jomal Josen","orcid":null},"institutions":[{"id":"https://openalex.org/I3283852","display_name":"Thomas College","ror":"https://ror.org/00z6yks89","country_code":"US","type":"education","lineage":["https://openalex.org/I3283852"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Jomal Josen","raw_affiliation_strings":["Department of Mathematics ,  St. Thomas College (Autonomous) ,  Palai , Kerala,  India"],"raw_orcid":"https://orcid.org/0009-0009-5450-120X","affiliations":[{"raw_affiliation_string":"Department of Mathematics ,  St. Thomas College (Autonomous) ,  Palai , Kerala,  India","institution_ids":["https://openalex.org/I3283852"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5122314797","display_name":"Sunil Jacob John","orcid":null},"institutions":[{"id":"https://openalex.org/I114845381","display_name":"National Institute of Technology Calicut","ror":"https://ror.org/03yyd7552","country_code":"IN","type":"education","lineage":["https://openalex.org/I114845381"]}],"countries":["IN"],"is_corresponding":false,"raw_author_name":"Sunil Jacob John","raw_affiliation_strings":["Department of Mathematics ,  National Institute of Technology Calicut ,  Kozhikode , Kerala,  India ,  nitc.ac.in"],"raw_orcid":"https://orcid.org/0000-0002-6333-2884","affiliations":[{"raw_affiliation_string":"Department of Mathematics ,  National Institute of Technology Calicut ,  Kozhikode , Kerala,  India ,  nitc.ac.in","institution_ids":["https://openalex.org/I114845381"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5122325499","display_name":"T. Baiju","orcid":null},"institutions":[{"id":"https://openalex.org/I164861460","display_name":"Manipal Academy of Higher Education","ror":"https://ror.org/02xzytt36","country_code":"IN","type":"education","lineage":["https://openalex.org/I164861460"]}],"countries":["IN"],"is_corresponding":true,"raw_author_name":"T. Baiju","raw_affiliation_strings":["Department of Mathematics ,  Manipal Institute of Technology ,  Manipal Academy of Higher Education ,  Manipal , Karnataka,  India ,  manipal.edu"],"raw_orcid":"https://orcid.org/0000-0002-5558-1581","affiliations":[{"raw_affiliation_string":"Department of Mathematics ,  Manipal Institute of Technology ,  Manipal Academy of Higher Education ,  Manipal , Karnataka,  India ,  manipal.edu","institution_ids":["https://openalex.org/I164861460"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":3,"corresponding_author_ids":["https://openalex.org/A5122325499"],"corresponding_institution_ids":["https://openalex.org/I164861460"],"apc_list":{"value":900,"currency":"USD","value_usd":900},"apc_paid":{"value":900,"currency":"USD","value_usd":900},"fwci":0.0,"has_fulltext":true,"cited_by_count":0,"citation_normalized_percentile":{"value":0.04634018,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":null,"biblio":{"volume":"2026","issue":"1","first_page":null,"last_page":null},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10050","display_name":"Multi-Criteria Decision Making","score":0.2973000109195709,"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/T10050","display_name":"Multi-Criteria Decision Making","score":0.2973000109195709,"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/T11671","display_name":"Fuzzy and Soft Set Theory","score":0.13050000369548798,"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/T10820","display_name":"Fuzzy Logic and Control Systems","score":0.08169999718666077,"subfield":{"id":"https://openalex.org/subfields/1702","display_name":"Artificial Intelligence"},"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/measure","display_name":"Measure (data warehouse)","score":0.679099977016449},{"id":"https://openalex.org/keywords/relevance","display_name":"Relevance (law)","score":0.6432999968528748},{"id":"https://openalex.org/keywords/euclidean-space","display_name":"Euclidean space","score":0.5532000064849854},{"id":"https://openalex.org/keywords/fuzzy-logic","display_name":"Fuzzy logic","score":0.5443999767303467},{"id":"https://openalex.org/keywords/representation","display_name":"Representation (politics)","score":0.525600016117096},{"id":"https://openalex.org/keywords/space","display_name":"Space (punctuation)","score":0.47699999809265137},{"id":"https://openalex.org/keywords/topological-space","display_name":"Topological space","score":0.47440001368522644},{"id":"https://openalex.org/keywords/multidimensional-systems","display_name":"Multidimensional systems","score":0.47189998626708984},{"id":"https://openalex.org/keywords/multidimensional-scaling","display_name":"Multidimensional scaling","score":0.4555000066757202}],"concepts":[{"id":"https://openalex.org/C2780009758","wikidata":"https://www.wikidata.org/wiki/Q6804172","display_name":"Measure (data warehouse)","level":2,"score":0.679099977016449},{"id":"https://openalex.org/C158154518","wikidata":"https://www.wikidata.org/wiki/Q7310970","display_name":"Relevance (law)","level":2,"score":0.6432999968528748},{"id":"https://openalex.org/C186450821","wikidata":"https://www.wikidata.org/wiki/Q17295","display_name":"Euclidean space","level":2,"score":0.5532000064849854},{"id":"https://openalex.org/C58166","wikidata":"https://www.wikidata.org/wiki/Q224821","display_name":"Fuzzy logic","level":2,"score":0.5443999767303467},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.5432999730110168},{"id":"https://openalex.org/C2776359362","wikidata":"https://www.wikidata.org/wiki/Q2145286","display_name":"Representation (politics)","level":3,"score":0.525600016117096},{"id":"https://openalex.org/C2778572836","wikidata":"https://www.wikidata.org/wiki/Q380933","display_name":"Space (punctuation)","level":2,"score":0.47699999809265137},{"id":"https://openalex.org/C81332173","wikidata":"https://www.wikidata.org/wiki/Q179899","display_name":"Topological space","level":2,"score":0.47440001368522644},{"id":"https://openalex.org/C158457486","wikidata":"https://www.wikidata.org/wiki/Q17104301","display_name":"Multidimensional systems","level":2,"score":0.47189998626708984},{"id":"https://openalex.org/C91682802","wikidata":"https://www.wikidata.org/wiki/Q620538","display_name":"Multidimensional scaling","level":2,"score":0.4555000066757202},{"id":"https://openalex.org/C80444323","wikidata":"https://www.wikidata.org/wiki/Q2878974","display_name":"Theoretical computer science","level":1,"score":0.4537999927997589},{"id":"https://openalex.org/C129782007","wikidata":"https://www.wikidata.org/wiki/Q162886","display_name":"Euclidean geometry","level":2,"score":0.44780001044273376},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.41119998693466187},{"id":"https://openalex.org/C2639959","wikidata":"https://www.wikidata.org/wiki/Q1344778","display_name":"Distance measures","level":2,"score":0.39899998903274536},{"id":"https://openalex.org/C42011625","wikidata":"https://www.wikidata.org/wiki/Q1055058","display_name":"Fuzzy set","level":3,"score":0.39169999957084656},{"id":"https://openalex.org/C184720557","wikidata":"https://www.wikidata.org/wiki/Q7825049","display_name":"Topology (electrical circuits)","level":2,"score":0.3869999945163727},{"id":"https://openalex.org/C3019022308","wikidata":"https://www.wikidata.org/wiki/Q1418353","display_name":"Multidimensional data","level":2,"score":0.3790000081062317},{"id":"https://openalex.org/C169191187","wikidata":"https://www.wikidata.org/wiki/Q1418353","display_name":"Multidimensional analysis","level":2,"score":0.37070000171661377},{"id":"https://openalex.org/C2164484","wikidata":"https://www.wikidata.org/wiki/Q5170150","display_name":"Core (optical fiber)","level":2,"score":0.36820000410079956},{"id":"https://openalex.org/C100516043","wikidata":"https://www.wikidata.org/wiki/Q4455138","display_name":"Fuzzy measure theory","level":5,"score":0.36629998683929443},{"id":"https://openalex.org/C120174047","wikidata":"https://www.wikidata.org/wiki/Q847073","display_name":"Euclidean distance","level":2,"score":0.3578999936580658},{"id":"https://openalex.org/C136119220","wikidata":"https://www.wikidata.org/wiki/Q1000660","display_name":"Algebra over a field","level":2,"score":0.3346000015735626},{"id":"https://openalex.org/C2777212361","wikidata":"https://www.wikidata.org/wiki/Q5127848","display_name":"Class (philosophy)","level":2,"score":0.2890999913215637},{"id":"https://openalex.org/C12426560","wikidata":"https://www.wikidata.org/wiki/Q189569","display_name":"Basis (linear algebra)","level":2,"score":0.2720000147819519},{"id":"https://openalex.org/C2776542497","wikidata":"https://www.wikidata.org/wiki/Q5266672","display_name":"Development (topology)","level":2,"score":0.2581999897956848},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.2574000060558319}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1155/adfs/7832893","is_oa":true,"landing_page_url":"https://doi.org/10.1155/adfs/7832893","pdf_url":"https://onlinelibrary.wiley.com/doi/pdfdirect/10.1155/adfs/7832893","source":{"id":"https://openalex.org/S117816480","display_name":"Advances in Fuzzy Systems","issn_l":"1687-7101","issn":["1687-7101","1687-711X"],"is_oa":true,"is_in_doaj":true,"is_core":true,"host_organization":"https://openalex.org/P4310319869","host_organization_name":"Hindawi Publishing Corporation","host_organization_lineage":["https://openalex.org/P4310319869"],"host_organization_lineage_names":["Hindawi Publishing Corporation"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Advances in Fuzzy Systems","raw_type":"journal-article"}],"best_oa_location":{"id":"doi:10.1155/adfs/7832893","is_oa":true,"landing_page_url":"https://doi.org/10.1155/adfs/7832893","pdf_url":"https://onlinelibrary.wiley.com/doi/pdfdirect/10.1155/adfs/7832893","source":{"id":"https://openalex.org/S117816480","display_name":"Advances in Fuzzy Systems","issn_l":"1687-7101","issn":["1687-7101","1687-711X"],"is_oa":true,"is_in_doaj":true,"is_core":true,"host_organization":"https://openalex.org/P4310319869","host_organization_name":"Hindawi Publishing Corporation","host_organization_lineage":["https://openalex.org/P4310319869"],"host_organization_lineage_names":["Hindawi Publishing Corporation"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Advances in Fuzzy Systems","raw_type":"journal-article"},"sustainable_development_goals":[{"score":0.7370304465293884,"id":"https://metadata.un.org/sdg/16","display_name":"Peace, Justice and strong institutions"}],"awards":[{"id":"https://openalex.org/G3121417047","display_name":null,"funder_award_id":"SR/FST/MS-1/2019/40","funder_id":"https://openalex.org/F4320320719","funder_display_name":"Department of Science and Technology, Ministry of Science and Technology, India"}],"funders":[{"id":"https://openalex.org/F4320320719","display_name":"Department of Science and Technology, Ministry of Science and Technology, India","ror":"https://ror.org/0101xrq71"},{"id":"https://openalex.org/F4320320767","display_name":"University Grants Commission","ror":"https://ror.org/04p800546"}],"has_content":{"pdf":true,"grobid_xml":true},"content_urls":{"pdf":"https://content.openalex.org/works/W7119524618.pdf","grobid_xml":"https://content.openalex.org/works/W7119524618.grobid-xml"},"referenced_works_count":45,"referenced_works":["https://openalex.org/W1568093212","https://openalex.org/W1905725967","https://openalex.org/W1966742530","https://openalex.org/W1967185084","https://openalex.org/W1977854243","https://openalex.org/W1978336637","https://openalex.org/W2000261326","https://openalex.org/W2001750989","https://openalex.org/W2002541167","https://openalex.org/W2029074979","https://openalex.org/W2036104856","https://openalex.org/W2048965449","https://openalex.org/W2054914489","https://openalex.org/W2056021265","https://openalex.org/W2087480453","https://openalex.org/W2093502077","https://openalex.org/W2126930230","https://openalex.org/W2134654723","https://openalex.org/W2144086263","https://openalex.org/W2167510151","https://openalex.org/W2262610456","https://openalex.org/W2500340515","https://openalex.org/W2527487499","https://openalex.org/W2605330569","https://openalex.org/W2782282036","https://openalex.org/W2784354918","https://openalex.org/W2794116995","https://openalex.org/W2906208086","https://openalex.org/W2943870393","https://openalex.org/W3027758679","https://openalex.org/W3096858192","https://openalex.org/W3130428305","https://openalex.org/W3159540518","https://openalex.org/W4242986411","https://openalex.org/W4254931243","https://openalex.org/W4292158025","https://openalex.org/W4293794840","https://openalex.org/W4321768922","https://openalex.org/W4362674963","https://openalex.org/W4377242439","https://openalex.org/W4388271662","https://openalex.org/W4391928682","https://openalex.org/W4394015114","https://openalex.org/W4398253312","https://openalex.org/W4406279506"],"related_works":[],"abstract_inverted_index":{"This":[0],"paper":[1],"presents":[2],"a":[3,34,111],"generalized":[4],"framework":[5,27],"termed":[6],"the":[7,69,102,106,122,130,135],"multidimensional":[8,15,18,48,75,86,117],"topological":[9],"measure":[10],"space":[11],"(MDTMS),":[12],"developed":[13],"through":[14],"fuzzy":[16,30,49,87],"sets,":[17],"topology,":[19,50],"and":[20,38,52,79,89,132],"an":[21],"associated":[22],"distance":[23,118],"measure.":[24],"The":[25],"suggested":[26],"enhances":[28],"traditional":[29],"models":[31],"by":[32],"facilitating":[33],"more":[35],"nuanced":[36],"representation":[37],"examination":[39],"of":[40,74,85,93,105,134],"intricate,":[41],"multiparameter":[42],"data.":[43],"Essential":[44],"core":[45],"components,":[46],"including":[47],"basis,":[51],"subspace,":[53],"are":[54,126],"rigorously":[55],"described":[56],"within":[57,121],"this":[58],"framework.":[59],"We":[60],"create":[61],"many":[62],"mathematical":[63],"instruments":[64],"to":[65,128],"facilitate":[66],"study":[67],"inside":[68],"MDTMS":[70,123],"framework,":[71,108],"encompassing":[72],"concepts":[73],"carrier,":[76],"closure,":[77],"core,":[78],"interior.":[80],"Additionally,":[81],"we":[82,109],"analyze":[83],"sequences":[84],"sets":[88],"introduce":[90,110],"two":[91],"forms":[92],"convergence,":[94],"together":[95],"with":[96],"their":[97],"fundamental":[98],"characteristics.":[99],"To":[100],"illustrate":[101],"practical":[103],"significance":[104],"proposed":[107,136],"decision\u2010making":[112],"methodology":[113],"grounded":[114],"in":[115],"Euclidean":[116],"functions":[119],"incorporated":[120],"structure.":[124],"Examples":[125],"shown":[127],"demonstrate":[129],"relevance":[131],"efficacy":[133],"notions.":[137]},"counts_by_year":[],"updated_date":"2026-03-27T05:58:40.876381","created_date":"2026-01-09T00:00:00"}