{"id":"https://openalex.org/W2558889492","doi":"https://doi.org/10.1515/jisys-2016-0088","title":"Double-Valued Neutrosophic Sets, their Minimum Spanning Trees, and Clustering Algorithm","display_name":"Double-Valued Neutrosophic Sets, their Minimum Spanning Trees, and Clustering Algorithm","publication_year":2016,"publication_date":"2016-11-28","ids":{"openalex":"https://openalex.org/W2558889492","doi":"https://doi.org/10.1515/jisys-2016-0088","mag":"2558889492"},"language":"en","primary_location":{"id":"doi:10.1515/jisys-2016-0088","is_oa":true,"landing_page_url":"https://doi.org/10.1515/jisys-2016-0088","pdf_url":"http://www.degruyter.com/downloadpdf/j/jisys.2018.27.issue-2/jisys-2016-0088/jisys-2016-0088.xml","source":{"id":"https://openalex.org/S2764846071","display_name":"Journal of Intelligent Systems","issn_l":"0334-1860","issn":["0334-1860","2191-026X"],"is_oa":false,"is_in_doaj":true,"is_core":true,"host_organization":"https://openalex.org/P4310315148","host_organization_name":"IlmuKomputer.Com","host_organization_lineage":["https://openalex.org/P4310315148"],"host_organization_lineage_names":["IlmuKomputer.Com"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Journal of Intelligent Systems","raw_type":"journal-article"},"type":"article","indexed_in":["crossref","doaj"],"open_access":{"is_oa":true,"oa_status":"bronze","oa_url":"http://www.degruyter.com/downloadpdf/j/jisys.2018.27.issue-2/jisys-2016-0088/jisys-2016-0088.xml","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5071658857","display_name":"Ilanthenral Kandasamy","orcid":"https://orcid.org/0000-0003-4826-9466"},"institutions":[{"id":"https://openalex.org/I876193797","display_name":"Vellore Institute of Technology University","ror":"https://ror.org/00qzypv28","country_code":"IN","type":"education","lineage":["https://openalex.org/I876193797"]}],"countries":["IN"],"is_corresponding":true,"raw_author_name":"Ilanthenral Kandasamy","raw_affiliation_strings":["School of Computer Science and Engineering , VIT University , Vellore , India","School of Computer Science and Engineering, VIT University, Vellore, India"],"affiliations":[{"raw_affiliation_string":"School of Computer Science and Engineering , VIT University , Vellore , India","institution_ids":["https://openalex.org/I876193797"]},{"raw_affiliation_string":"School of Computer Science and Engineering, VIT University, Vellore, India","institution_ids":["https://openalex.org/I876193797"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":["https://openalex.org/A5071658857"],"corresponding_institution_ids":["https://openalex.org/I876193797"],"apc_list":{"value":1000,"currency":"EUR","value_usd":1078},"apc_paid":null,"fwci":6.1039,"has_fulltext":false,"cited_by_count":42,"citation_normalized_percentile":{"value":0.96334024,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":89,"max":99},"biblio":{"volume":"27","issue":"2","first_page":"163","last_page":"182"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10050","display_name":"Multi-Criteria Decision Making","score":0.9969000220298767,"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":0.9969000220298767,"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/T12709","display_name":"Optimization and Mathematical Programming","score":0.9592999815940857,"subfield":{"id":"https://openalex.org/subfields/2207","display_name":"Control and Systems Engineering"},"field":{"id":"https://openalex.org/fields/22","display_name":"Engineering"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T12135","display_name":"Fuzzy Systems and Optimization","score":0.9448999762535095,"subfield":{"id":"https://openalex.org/subfields/2613","display_name":"Statistics and Probability"},"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/cluster-analysis","display_name":"Cluster analysis","score":0.6962370872497559},{"id":"https://openalex.org/keywords/minimum-spanning-tree","display_name":"Minimum spanning tree","score":0.6763495802879333},{"id":"https://openalex.org/keywords/indeterminacy","display_name":"Indeterminacy (philosophy)","score":0.6306575536727905},{"id":"https://openalex.org/keywords/indeterminate","display_name":"Indeterminate","score":0.5794199109077454},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.5785632729530334},{"id":"https://openalex.org/keywords/spanning-tree","display_name":"Spanning tree","score":0.5620110034942627},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.490771621465683},{"id":"https://openalex.org/keywords/fuzzy-clustering","display_name":"Fuzzy clustering","score":0.44399213790893555},{"id":"https://openalex.org/keywords/fuzzy-logic","display_name":"Fuzzy logic","score":0.4326656460762024},{"id":"https://openalex.org/keywords/set","display_name":"Set (abstract data type)","score":0.4252772331237793},{"id":"https://openalex.org/keywords/axiom","display_name":"Axiom","score":0.4247165322303772},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.41238316893577576},{"id":"https://openalex.org/keywords/data-mining","display_name":"Data mining","score":0.4053899049758911},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.4002005159854889},{"id":"https://openalex.org/keywords/pattern-recognition","display_name":"Pattern recognition (psychology)","score":0.3891207277774811},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.17992842197418213}],"concepts":[{"id":"https://openalex.org/C73555534","wikidata":"https://www.wikidata.org/wiki/Q622825","display_name":"Cluster analysis","level":2,"score":0.6962370872497559},{"id":"https://openalex.org/C13743678","wikidata":"https://www.wikidata.org/wiki/Q240464","display_name":"Minimum spanning tree","level":2,"score":0.6763495802879333},{"id":"https://openalex.org/C2777366796","wikidata":"https://www.wikidata.org/wiki/Q6017758","display_name":"Indeterminacy (philosophy)","level":2,"score":0.6306575536727905},{"id":"https://openalex.org/C94624232","wikidata":"https://www.wikidata.org/wiki/Q3150667","display_name":"Indeterminate","level":2,"score":0.5794199109077454},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.5785632729530334},{"id":"https://openalex.org/C64331007","wikidata":"https://www.wikidata.org/wiki/Q831672","display_name":"Spanning tree","level":2,"score":0.5620110034942627},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.490771621465683},{"id":"https://openalex.org/C17212007","wikidata":"https://www.wikidata.org/wiki/Q5511111","display_name":"Fuzzy clustering","level":3,"score":0.44399213790893555},{"id":"https://openalex.org/C58166","wikidata":"https://www.wikidata.org/wiki/Q224821","display_name":"Fuzzy logic","level":2,"score":0.4326656460762024},{"id":"https://openalex.org/C177264268","wikidata":"https://www.wikidata.org/wiki/Q1514741","display_name":"Set (abstract data type)","level":2,"score":0.4252772331237793},{"id":"https://openalex.org/C167729594","wikidata":"https://www.wikidata.org/wiki/Q17736","display_name":"Axiom","level":2,"score":0.4247165322303772},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.41238316893577576},{"id":"https://openalex.org/C124101348","wikidata":"https://www.wikidata.org/wiki/Q172491","display_name":"Data mining","level":1,"score":0.4053899049758911},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.4002005159854889},{"id":"https://openalex.org/C153180895","wikidata":"https://www.wikidata.org/wiki/Q7148389","display_name":"Pattern recognition (psychology)","level":2,"score":0.3891207277774811},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.17992842197418213},{"id":"https://openalex.org/C62520636","wikidata":"https://www.wikidata.org/wiki/Q944","display_name":"Quantum mechanics","level":1,"score":0.0},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.0},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.0},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.0},{"id":"https://openalex.org/C199360897","wikidata":"https://www.wikidata.org/wiki/Q9143","display_name":"Programming language","level":1,"score":0.0}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.1515/jisys-2016-0088","is_oa":true,"landing_page_url":"https://doi.org/10.1515/jisys-2016-0088","pdf_url":"http://www.degruyter.com/downloadpdf/j/jisys.2018.27.issue-2/jisys-2016-0088/jisys-2016-0088.xml","source":{"id":"https://openalex.org/S2764846071","display_name":"Journal of Intelligent Systems","issn_l":"0334-1860","issn":["0334-1860","2191-026X"],"is_oa":false,"is_in_doaj":true,"is_core":true,"host_organization":"https://openalex.org/P4310315148","host_organization_name":"IlmuKomputer.Com","host_organization_lineage":["https://openalex.org/P4310315148"],"host_organization_lineage_names":["IlmuKomputer.Com"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Journal of Intelligent Systems","raw_type":"journal-article"},{"id":"pmh:oai:doaj.org/article:c1701471891841dda4d098621fd55540","is_oa":true,"landing_page_url":"https://doaj.org/article/c1701471891841dda4d098621fd55540","pdf_url":null,"source":{"id":"https://openalex.org/S112646816","display_name":"SHILAP Revista de lepidopterolog\u00eda","issn_l":"0300-5267","issn":["0300-5267","2340-4078"],"is_oa":true,"is_in_doaj":true,"is_core":false,"host_organization":null,"host_organization_name":null,"host_organization_lineage":[],"host_organization_lineage_names":[],"type":"journal"},"license":"cc-by-sa","license_id":"https://openalex.org/licenses/cc-by-sa","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"Journal of Intelligent Systems, Vol 27, Iss 2, Pp 163-182 (2018)","raw_type":"article"}],"best_oa_location":{"id":"doi:10.1515/jisys-2016-0088","is_oa":true,"landing_page_url":"https://doi.org/10.1515/jisys-2016-0088","pdf_url":"http://www.degruyter.com/downloadpdf/j/jisys.2018.27.issue-2/jisys-2016-0088/jisys-2016-0088.xml","source":{"id":"https://openalex.org/S2764846071","display_name":"Journal of Intelligent Systems","issn_l":"0334-1860","issn":["0334-1860","2191-026X"],"is_oa":false,"is_in_doaj":true,"is_core":true,"host_organization":"https://openalex.org/P4310315148","host_organization_name":"IlmuKomputer.Com","host_organization_lineage":["https://openalex.org/P4310315148"],"host_organization_lineage_names":["IlmuKomputer.Com"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Journal of Intelligent Systems","raw_type":"journal-article"},"sustainable_development_goals":[{"score":0.5699999928474426,"display_name":"Peace, Justice and strong institutions","id":"https://metadata.un.org/sdg/16"}],"awards":[],"funders":[],"has_content":{"grobid_xml":true,"pdf":true},"content_urls":{"pdf":"https://content.openalex.org/works/W2558889492.pdf","grobid_xml":"https://content.openalex.org/works/W2558889492.grobid-xml"},"referenced_works_count":36,"referenced_works":["https://openalex.org/W58991120","https://openalex.org/W591434607","https://openalex.org/W645824323","https://openalex.org/W887455178","https://openalex.org/W1553497661","https://openalex.org/W1557615392","https://openalex.org/W1588965384","https://openalex.org/W1595461165","https://openalex.org/W1932717633","https://openalex.org/W1965680834","https://openalex.org/W1969887109","https://openalex.org/W1972969203","https://openalex.org/W1975930544","https://openalex.org/W1980564456","https://openalex.org/W1999747502","https://openalex.org/W2017927472","https://openalex.org/W2040810017","https://openalex.org/W2056702814","https://openalex.org/W2060175823","https://openalex.org/W2067809457","https://openalex.org/W2072194942","https://openalex.org/W2076808107","https://openalex.org/W2099371099","https://openalex.org/W2113160886","https://openalex.org/W2127284416","https://openalex.org/W2131196740","https://openalex.org/W2133044234","https://openalex.org/W2140930947","https://openalex.org/W2153696615","https://openalex.org/W2158055408","https://openalex.org/W2190038190","https://openalex.org/W2366980769","https://openalex.org/W2389192820","https://openalex.org/W2912565176","https://openalex.org/W4211007335","https://openalex.org/W4292078529"],"related_works":["https://openalex.org/W4236015923","https://openalex.org/W3037174482","https://openalex.org/W3122995567","https://openalex.org/W589695281","https://openalex.org/W2055328374","https://openalex.org/W285475531","https://openalex.org/W1970739522","https://openalex.org/W4233619050","https://openalex.org/W2023125898","https://openalex.org/W1547313378"],"abstract_inverted_index":{"Abstract":[0],"Neutrosophy":[1],"(neutrosophic":[2],"logic)":[3],"is":[4,94,115,154,162,227],"used":[5],"to":[6,23,29,176,189],"represent":[7],"uncertain,":[8],"indeterminate,":[9],"and":[10,27,48,82,86,111,122,136,149,193,222],"inconsistent":[11,123],"information":[12],"available":[13],"in":[14,88,98,103],"the":[15,33,49,104,129,150,178,191,203],"real":[16],"world.":[17],"This":[18,57,164],"article":[19,165],"proposes":[20,166],"a":[21,60,64,159,167],"method":[22],"provide":[24],"more":[25,126],"sensitivity":[26],"precision":[28],"indeterminacy,":[30],"by":[31,96,181],"classifying":[32],"indeterminate":[34,77,121],"concept/value":[35],"into":[36],"two":[37,75],"based":[38,156],"on":[39,157],"membership:":[40],"one":[41],"as":[42,51],"indeterminacy":[43,52],"leaning":[44,53],"towards":[45,54],"truth":[46],"membership":[47],"other":[50,208],"false":[55],"membership.":[56],"paper":[58],"introduces":[59],"modified":[61],"form":[62,105],"of":[63,101,106,195,202],"neutrosophic":[65,183],"set,":[66],"called":[67],"Double-Valued":[68,168],"Neutrosophic":[69,131,169,213],"Set":[70],"(DVNS),":[71],"which":[72,133,158],"has":[73],"these":[74],"distinct":[76],"values.":[78],"Its":[79],"related":[80,151],"properties":[81],"axioms":[83],"are":[84,140,187],"defined":[85],"illustrated":[87],"this":[89,196],"paper.":[90],"An":[91],"important":[92],"role":[93],"played":[95],"clustering":[97,160,174,197,205,209],"several":[99],"fields":[100],"research":[102],"data":[107,179],"mining,":[108],"pattern":[109],"recognition,":[110],"machine":[112],"learning.":[113],"DVNS":[114],"better":[116],"equipped":[117],"at":[118],"dealing":[119],"with":[120,125,207],"information,":[124],"accuracy,":[127],"than":[128],"Single-Valued":[130,212],"Set,":[132],"fuzzy":[134,138],"sets":[135,139],"intuitionistic":[137],"incapable":[141],"of.":[142],"A":[143,199],"generalised":[144],"distance":[145,152],"measure":[146],"between":[147],"DVNSs":[148],"matrix":[153],"defined,":[155],"algorithm":[161,206],"constructed.":[163],"Minimum":[170,214,219,224],"Spanning":[171,215,220,225],"Tree":[172,226],"(DVN-MST)":[173],"algorithm,":[175],"cluster":[177],"represented":[180],"double-valued":[182],"information.":[184],"Illustrative":[185],"examples":[186],"given":[188],"demonstrate":[190],"applications":[192],"effectiveness":[194],"algorithm.":[198],"comparative":[200],"study":[201],"DVN-MST":[204],"algorithms":[210],"like":[211],"Tree,":[216,221],"Intuitionistic":[217],"Fuzzy":[218,223],"carried":[228],"out.":[229]},"counts_by_year":[{"year":2025,"cited_by_count":5},{"year":2024,"cited_by_count":2},{"year":2023,"cited_by_count":6},{"year":2022,"cited_by_count":1},{"year":2021,"cited_by_count":5},{"year":2020,"cited_by_count":6},{"year":2019,"cited_by_count":7},{"year":2018,"cited_by_count":9},{"year":2016,"cited_by_count":1}],"updated_date":"2025-12-06T23:10:59.065948","created_date":"2016-12-08T00:00:00"}
