{"id":"https://openalex.org/W4224308303","doi":"https://doi.org/10.1142/s1793005723500163","title":"A 3D Distance Measure for Intuitionistic Fuzzy Sets and its Application in Pattern Recognition and Decision-Making Problems","display_name":"A 3D Distance Measure for Intuitionistic Fuzzy Sets and its Application in Pattern Recognition and Decision-Making Problems","publication_year":2022,"publication_date":"2022-04-25","ids":{"openalex":"https://openalex.org/W4224308303","doi":"https://doi.org/10.1142/s1793005723500163"},"language":"en","primary_location":{"id":"doi:10.1142/s1793005723500163","is_oa":false,"landing_page_url":"https://doi.org/10.1142/s1793005723500163","pdf_url":null,"source":{"id":"https://openalex.org/S135331755","display_name":"New Mathematics and Natural Computation","issn_l":"1793-0057","issn":["1793-0057","1793-7027"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319815","host_organization_name":"World Scientific","host_organization_lineage":["https://openalex.org/P4310319815"],"host_organization_lineage_names":["World Scientific"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"New Mathematics and Natural Computation","raw_type":"journal-article"},"type":"article","indexed_in":["crossref"],"open_access":{"is_oa":false,"oa_status":"closed","oa_url":null,"any_repository_has_fulltext":false},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5081949959","display_name":"Anjali Patel","orcid":"https://orcid.org/0000-0003-2358-3096"},"institutions":[{"id":"https://openalex.org/I151903974","display_name":"National Institute Of Technology Silchar","ror":"https://ror.org/001ws2a36","country_code":"IN","type":"education","lineage":["https://openalex.org/I151903974"]}],"countries":["IN"],"is_corresponding":true,"raw_author_name":"Anjali Patel","raw_affiliation_strings":["Department of Mathematics, NIT Silchar, Cachar, Assam 788010, India"],"affiliations":[{"raw_affiliation_string":"Department of Mathematics, NIT Silchar, Cachar, Assam 788010, India","institution_ids":["https://openalex.org/I151903974"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5100377293","display_name":"Naveen Kumar","orcid":"https://orcid.org/0000-0002-0983-8358"},"institutions":[{"id":"https://openalex.org/I151903974","display_name":"National Institute Of Technology Silchar","ror":"https://ror.org/001ws2a36","country_code":"IN","type":"education","lineage":["https://openalex.org/I151903974"]}],"countries":["IN"],"is_corresponding":false,"raw_author_name":"Naveen Kumar","raw_affiliation_strings":["Department of Mathematics, NIT Silchar, Cachar, Assam 788010, India"],"affiliations":[{"raw_affiliation_string":"Department of Mathematics, NIT Silchar, Cachar, Assam 788010, India","institution_ids":["https://openalex.org/I151903974"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5084633261","display_name":"Juthika Mahanta","orcid":"https://orcid.org/0000-0002-4520-5187"},"institutions":[{"id":"https://openalex.org/I151903974","display_name":"National Institute Of Technology Silchar","ror":"https://ror.org/001ws2a36","country_code":"IN","type":"education","lineage":["https://openalex.org/I151903974"]}],"countries":["IN"],"is_corresponding":false,"raw_author_name":"Juthika Mahanta","raw_affiliation_strings":["Department of Mathematics, NIT Silchar, Cachar, Assam 788010, India"],"affiliations":[{"raw_affiliation_string":"Department of Mathematics, NIT Silchar, Cachar, Assam 788010, India","institution_ids":["https://openalex.org/I151903974"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":3,"corresponding_author_ids":["https://openalex.org/A5081949959"],"corresponding_institution_ids":["https://openalex.org/I151903974"],"apc_list":null,"apc_paid":null,"fwci":2.2911,"has_fulltext":false,"cited_by_count":15,"citation_normalized_percentile":{"value":0.88541492,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":94,"max":99},"biblio":{"volume":"19","issue":"02","first_page":"447","last_page":"472"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10050","display_name":"Multi-Criteria Decision Making","score":0.9997000098228455,"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":0.9997000098228455,"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/T14175","display_name":"Intuitionistic Fuzzy Systems Applications","score":0.9927999973297119,"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"}},{"id":"https://openalex.org/T10820","display_name":"Fuzzy Logic and Control Systems","score":0.9656999707221985,"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":0.7959318161010742},{"id":"https://openalex.org/keywords/distance-measures","display_name":"Distance measures","score":0.5751163959503174},{"id":"https://openalex.org/keywords/metric","display_name":"Metric (unit)","score":0.5750823616981506},{"id":"https://openalex.org/keywords/similarity-measure","display_name":"Similarity measure","score":0.5679312348365784},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.5622982978820801},{"id":"https://openalex.org/keywords/medical-diagnosis","display_name":"Medical diagnosis","score":0.5617604851722717},{"id":"https://openalex.org/keywords/divergence","display_name":"Divergence (linguistics)","score":0.5118045210838318},{"id":"https://openalex.org/keywords/consistency","display_name":"Consistency (knowledge bases)","score":0.5115945935249329},{"id":"https://openalex.org/keywords/probabilistic-logic","display_name":"Probabilistic logic","score":0.5013654232025146},{"id":"https://openalex.org/keywords/data-mining","display_name":"Data mining","score":0.4565746784210205},{"id":"https://openalex.org/keywords/similarity","display_name":"Similarity (geometry)","score":0.43931156396865845},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.4348798394203186},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.42424148321151733},{"id":"https://openalex.org/keywords/fuzzy-logic","display_name":"Fuzzy logic","score":0.4234638512134552}],"concepts":[{"id":"https://openalex.org/C2780009758","wikidata":"https://www.wikidata.org/wiki/Q6804172","display_name":"Measure (data warehouse)","level":2,"score":0.7959318161010742},{"id":"https://openalex.org/C2639959","wikidata":"https://www.wikidata.org/wiki/Q1344778","display_name":"Distance measures","level":2,"score":0.5751163959503174},{"id":"https://openalex.org/C176217482","wikidata":"https://www.wikidata.org/wiki/Q860554","display_name":"Metric (unit)","level":2,"score":0.5750823616981506},{"id":"https://openalex.org/C2776517306","wikidata":"https://www.wikidata.org/wiki/Q29017317","display_name":"Similarity measure","level":2,"score":0.5679312348365784},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.5622982978820801},{"id":"https://openalex.org/C534262118","wikidata":"https://www.wikidata.org/wiki/Q177719","display_name":"Medical diagnosis","level":2,"score":0.5617604851722717},{"id":"https://openalex.org/C207390915","wikidata":"https://www.wikidata.org/wiki/Q1230525","display_name":"Divergence (linguistics)","level":2,"score":0.5118045210838318},{"id":"https://openalex.org/C2776436953","wikidata":"https://www.wikidata.org/wiki/Q5163215","display_name":"Consistency (knowledge bases)","level":2,"score":0.5115945935249329},{"id":"https://openalex.org/C49937458","wikidata":"https://www.wikidata.org/wiki/Q2599292","display_name":"Probabilistic logic","level":2,"score":0.5013654232025146},{"id":"https://openalex.org/C124101348","wikidata":"https://www.wikidata.org/wiki/Q172491","display_name":"Data mining","level":1,"score":0.4565746784210205},{"id":"https://openalex.org/C103278499","wikidata":"https://www.wikidata.org/wiki/Q254465","display_name":"Similarity (geometry)","level":3,"score":0.43931156396865845},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.4348798394203186},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.42424148321151733},{"id":"https://openalex.org/C58166","wikidata":"https://www.wikidata.org/wiki/Q224821","display_name":"Fuzzy logic","level":2,"score":0.4234638512134552},{"id":"https://openalex.org/C162324750","wikidata":"https://www.wikidata.org/wiki/Q8134","display_name":"Economics","level":0,"score":0.0},{"id":"https://openalex.org/C41895202","wikidata":"https://www.wikidata.org/wiki/Q8162","display_name":"Linguistics","level":1,"score":0.0},{"id":"https://openalex.org/C21547014","wikidata":"https://www.wikidata.org/wiki/Q1423657","display_name":"Operations management","level":1,"score":0.0},{"id":"https://openalex.org/C115961682","wikidata":"https://www.wikidata.org/wiki/Q860623","display_name":"Image (mathematics)","level":2,"score":0.0},{"id":"https://openalex.org/C142724271","wikidata":"https://www.wikidata.org/wiki/Q7208","display_name":"Pathology","level":1,"score":0.0},{"id":"https://openalex.org/C138885662","wikidata":"https://www.wikidata.org/wiki/Q5891","display_name":"Philosophy","level":0,"score":0.0},{"id":"https://openalex.org/C71924100","wikidata":"https://www.wikidata.org/wiki/Q11190","display_name":"Medicine","level":0,"score":0.0}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.1142/s1793005723500163","is_oa":false,"landing_page_url":"https://doi.org/10.1142/s1793005723500163","pdf_url":null,"source":{"id":"https://openalex.org/S135331755","display_name":"New Mathematics and Natural Computation","issn_l":"1793-0057","issn":["1793-0057","1793-7027"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319815","host_organization_name":"World Scientific","host_organization_lineage":["https://openalex.org/P4310319815"],"host_organization_lineage_names":["World Scientific"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"New Mathematics and Natural Computation","raw_type":"journal-article"},{"id":"pmh:oai:RePEc:wsi:nmncxx:v:19:y:2023:i:02:n:s1793005723500163","is_oa":false,"landing_page_url":"http://www.worldscientific.com/doi/abs/10.1142/S1793005723500163","pdf_url":null,"source":{"id":"https://openalex.org/S4306401271","display_name":"RePEc: Research Papers in Economics","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I77793887","host_organization_name":"Federal Reserve Bank of St. Louis","host_organization_lineage":["https://openalex.org/I77793887"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"article"}],"best_oa_location":null,"sustainable_development_goals":[{"score":0.8100000023841858,"display_name":"Peace, Justice and strong institutions","id":"https://metadata.un.org/sdg/16"}],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":44,"referenced_works":["https://openalex.org/W1515034838","https://openalex.org/W1545229125","https://openalex.org/W1979507251","https://openalex.org/W1980748255","https://openalex.org/W1982034525","https://openalex.org/W2039791408","https://openalex.org/W2041569651","https://openalex.org/W2043376473","https://openalex.org/W2055108933","https://openalex.org/W2064746878","https://openalex.org/W2067648457","https://openalex.org/W2077335704","https://openalex.org/W2079767857","https://openalex.org/W2087501680","https://openalex.org/W2091275864","https://openalex.org/W2116208597","https://openalex.org/W2125906479","https://openalex.org/W2144086263","https://openalex.org/W2145494915","https://openalex.org/W2345705579","https://openalex.org/W2766931335","https://openalex.org/W2799561996","https://openalex.org/W2801912503","https://openalex.org/W2809020038","https://openalex.org/W2809682588","https://openalex.org/W2889162459","https://openalex.org/W2947191327","https://openalex.org/W2994595488","https://openalex.org/W2997734707","https://openalex.org/W3024606575","https://openalex.org/W3083465253","https://openalex.org/W3094100733","https://openalex.org/W3118252219","https://openalex.org/W3165116531","https://openalex.org/W3181287488","https://openalex.org/W3194366320","https://openalex.org/W3215634724","https://openalex.org/W4200419627","https://openalex.org/W4211007335","https://openalex.org/W4213068365","https://openalex.org/W4238605076","https://openalex.org/W4242750451","https://openalex.org/W4291896414","https://openalex.org/W4292295629"],"related_works":["https://openalex.org/W3094100733","https://openalex.org/W1982925424","https://openalex.org/W2589923430","https://openalex.org/W2087501680","https://openalex.org/W1177241668","https://openalex.org/W4220810985","https://openalex.org/W2033291297","https://openalex.org/W2014214435","https://openalex.org/W2902282441","https://openalex.org/W2014573407"],"abstract_inverted_index":{"The":[0],"distance":[1,30,55],"measure":[2,6,56,137],"as":[3],"an":[4],"information":[5],"helps":[7],"in":[8],"processing":[9],"incomplete":[10],"and":[11,74,91,124,144],"confusing":[12],"data":[13],"to":[14,85,105,117],"arrive":[15],"at":[16],"a":[17,53],"conclusion":[18],"by":[19,100,114],"assessing":[20],"the":[21,44,61,69,94,109,131,135,147,150],"degree":[22],"of":[23,27,43,68,93,108,130,149],"difference":[24],"between":[25,57],"pairs":[26],"variables.":[28],"Reviewing":[29],"measures":[31,96,143],"for":[32],"Intuitionistic":[33],"Fuzzy":[34],"Sets":[35],"(IFSs),":[36],"we":[37],"have":[38,97],"pointed":[39],"out":[40],"several":[41,87],"drawbacks":[42],"existing":[45,142],"measures.":[46,89],"To":[47],"overcome":[48],"these,":[49],"this":[50],"paper":[51],"presents":[52],"new":[54],"IFSs":[58],"based":[59],"on":[60],"probabilistic":[62],"divergence":[63],"measure.":[64,152],"Several":[65],"mathematical":[66],"properties":[67],"proposed":[70,80,110,151],"metric":[71,111],"are":[72],"established":[73,113],"validated":[75],"via":[76],"numerical":[77],"examples.":[78,102],"This":[79],"definition":[81],"is":[82,112],"further":[83],"used":[84],"devise":[86],"similarity":[88],"Applicability":[90],"consistency":[92],"introduced":[95],"been":[98],"corroborated":[99],"various":[101],"In":[103],"addition":[104],"that,":[106],"rationality":[107],"applying":[115],"it":[116],"pattern":[118],"recognition":[119],"applications,":[120],"Multi-Attribute-Decision-Making":[121],"(MADM)":[122],"problems":[123],"medical":[125],"&amp;":[126],"pathological":[127],"diagnoses.":[128],"Analysis":[129],"results":[132],"establishes":[133],"that":[134],"suggested":[136],"overcomes":[138],"shortcomings":[139],"associated":[140],"with":[141],"thereby":[145],"authenticates":[146],"superiority":[148]},"counts_by_year":[{"year":2026,"cited_by_count":1},{"year":2025,"cited_by_count":5},{"year":2024,"cited_by_count":3},{"year":2023,"cited_by_count":4},{"year":2022,"cited_by_count":2}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}
