{"id":"https://openalex.org/W4404520719","doi":"https://doi.org/10.1109/access.2024.3502202","title":"Diamond Intuitionistic Fuzzy Sets and Their Applications","display_name":"Diamond Intuitionistic Fuzzy Sets and Their Applications","publication_year":2024,"publication_date":"2024-01-01","ids":{"openalex":"https://openalex.org/W4404520719","doi":"https://doi.org/10.1109/access.2024.3502202"},"language":"en","primary_location":{"id":"doi:10.1109/access.2024.3502202","is_oa":true,"landing_page_url":"https://doi.org/10.1109/access.2024.3502202","pdf_url":null,"source":{"id":"https://openalex.org/S2485537415","display_name":"IEEE Access","issn_l":"2169-3536","issn":["2169-3536"],"is_oa":true,"is_in_doaj":true,"is_core":true,"host_organization":"https://openalex.org/P4310319808","host_organization_name":"Institute of Electrical and Electronics Engineers","host_organization_lineage":["https://openalex.org/P4310319808"],"host_organization_lineage_names":["Institute of Electrical and Electronics Engineers"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"IEEE Access","raw_type":"journal-article"},"type":"article","indexed_in":["crossref","doaj"],"open_access":{"is_oa":true,"oa_status":"gold","oa_url":"https://doi.org/10.1109/access.2024.3502202","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5026342382","display_name":"Muhammad Bilal Khan","orcid":"https://orcid.org/0000-0001-7450-8067"},"institutions":[{"id":"https://openalex.org/I3123573182","display_name":"Transylvania University of Bra\u0219ov","ror":"https://ror.org/01cg9ws23","country_code":"RO","type":"education","lineage":["https://openalex.org/I3123573182"]}],"countries":["RO"],"is_corresponding":false,"raw_author_name":"Muhammad Bilal Khan","raw_affiliation_strings":["Department of Mathematics and Computer Science, Transilvania University of Braşov, Braşov, Romania","Department of Mathematics and Computer Science, Transilvania University of Brasov, Brasov, Romania"],"raw_orcid":"https://orcid.org/0000-0001-7450-8067","affiliations":[{"raw_affiliation_string":"Department of Mathematics and Computer Science, Transilvania University of Braşov, Braşov, Romania","institution_ids":["https://openalex.org/I3123573182"]},{"raw_affiliation_string":"Department of Mathematics and Computer Science, Transilvania University of Brasov, Brasov, Romania","institution_ids":["https://openalex.org/I3123573182"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5079625019","display_name":"Adrian Marius Deaconu","orcid":"https://orcid.org/0000-0002-1070-1383"},"institutions":[{"id":"https://openalex.org/I3123573182","display_name":"Transylvania University of Bra\u0219ov","ror":"https://ror.org/01cg9ws23","country_code":"RO","type":"education","lineage":["https://openalex.org/I3123573182"]}],"countries":["RO"],"is_corresponding":false,"raw_author_name":"Adrian M. Deaconu","raw_affiliation_strings":["Department of Mathematics and Computer Science, Transilvania University of Braşov, Braşov, Romania","Department of Mathematics and Computer Science, Transilvania University of Brasov, Brasov, Romania"],"raw_orcid":"https://orcid.org/0000-0002-1070-1383","affiliations":[{"raw_affiliation_string":"Department of Mathematics and Computer Science, Transilvania University of Braşov, Braşov, Romania","institution_ids":["https://openalex.org/I3123573182"]},{"raw_affiliation_string":"Department of Mathematics and Computer Science, Transilvania University of Brasov, Brasov, Romania","institution_ids":["https://openalex.org/I3123573182"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5047879098","display_name":"Javad Tayyebi","orcid":"https://orcid.org/0000-0002-7559-3870"},"institutions":[{"id":"https://openalex.org/I97626857","display_name":"University of Birjand","ror":"https://ror.org/03g4hym73","country_code":"IR","type":"education","lineage":["https://openalex.org/I97626857"]}],"countries":["IR"],"is_corresponding":false,"raw_author_name":"Javad Tayyebi","raw_affiliation_strings":["Department of Industrial Engineering, Birjand University of Technology, Birjand, Iran"],"raw_orcid":"https://orcid.org/0000-0002-7559-3870","affiliations":[{"raw_affiliation_string":"Department of Industrial Engineering, Birjand University of Technology, Birjand, Iran","institution_ids":["https://openalex.org/I97626857"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5076003982","display_name":"Delia Spridon","orcid":"https://orcid.org/0000-0002-1647-5057"},"institutions":[{"id":"https://openalex.org/I3123573182","display_name":"Transylvania University of Bra\u0219ov","ror":"https://ror.org/01cg9ws23","country_code":"RO","type":"education","lineage":["https://openalex.org/I3123573182"]}],"countries":["RO"],"is_corresponding":false,"raw_author_name":"Delia Elena Spridon","raw_affiliation_strings":["Department of Mathematics and Computer Science, Transilvania University of Braşov, Braşov, Romania","Department of Mathematics and Computer Science, Transilvania University of Brasov, Brasov, Romania"],"raw_orcid":"https://orcid.org/0000-0002-1647-5057","affiliations":[{"raw_affiliation_string":"Department of Mathematics and Computer Science, Transilvania University of Braşov, Braşov, Romania","institution_ids":["https://openalex.org/I3123573182"]},{"raw_affiliation_string":"Department of Mathematics and Computer Science, Transilvania University of Brasov, Brasov, Romania","institution_ids":["https://openalex.org/I3123573182"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":2,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":{"value":1995,"currency":"USD","value_usd":1995},"apc_paid":{"value":1995,"currency":"USD","value_usd":1995},"fwci":1.6126,"has_fulltext":false,"cited_by_count":7,"citation_normalized_percentile":{"value":0.85955227,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":98},"biblio":{"volume":"12","issue":null,"first_page":"176171","last_page":"176183"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T14175","display_name":"Intuitionistic Fuzzy Systems Applications","score":0.9474999904632568,"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"}},"topics":[{"id":"https://openalex.org/T14175","display_name":"Intuitionistic Fuzzy Systems Applications","score":0.9474999904632568,"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/diamond","display_name":"Diamond","score":0.5458917021751404},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.5204184651374817},{"id":"https://openalex.org/keywords/fuzzy-set","display_name":"Fuzzy set","score":0.4501594305038452},{"id":"https://openalex.org/keywords/fuzzy-logic","display_name":"Fuzzy logic","score":0.3539276719093323},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.29952162504196167},{"id":"https://openalex.org/keywords/materials-science","display_name":"Materials science","score":0.15390262007713318},{"id":"https://openalex.org/keywords/metallurgy","display_name":"Metallurgy","score":0.06506124138832092}],"concepts":[{"id":"https://openalex.org/C2776921476","wikidata":"https://www.wikidata.org/wiki/Q5283","display_name":"Diamond","level":2,"score":0.5458917021751404},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.5204184651374817},{"id":"https://openalex.org/C42011625","wikidata":"https://www.wikidata.org/wiki/Q1055058","display_name":"Fuzzy set","level":3,"score":0.4501594305038452},{"id":"https://openalex.org/C58166","wikidata":"https://www.wikidata.org/wiki/Q224821","display_name":"Fuzzy logic","level":2,"score":0.3539276719093323},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.29952162504196167},{"id":"https://openalex.org/C192562407","wikidata":"https://www.wikidata.org/wiki/Q228736","display_name":"Materials science","level":0,"score":0.15390262007713318},{"id":"https://openalex.org/C191897082","wikidata":"https://www.wikidata.org/wiki/Q11467","display_name":"Metallurgy","level":1,"score":0.06506124138832092}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.1109/access.2024.3502202","is_oa":true,"landing_page_url":"https://doi.org/10.1109/access.2024.3502202","pdf_url":null,"source":{"id":"https://openalex.org/S2485537415","display_name":"IEEE Access","issn_l":"2169-3536","issn":["2169-3536"],"is_oa":true,"is_in_doaj":true,"is_core":true,"host_organization":"https://openalex.org/P4310319808","host_organization_name":"Institute of Electrical and Electronics Engineers","host_organization_lineage":["https://openalex.org/P4310319808"],"host_organization_lineage_names":["Institute of Electrical and Electronics Engineers"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"IEEE Access","raw_type":"journal-article"},{"id":"pmh:oai:doaj.org/article:9206711906b54512af3fd22a4ffe7e90","is_oa":true,"landing_page_url":"https://doaj.org/article/9206711906b54512af3fd22a4ffe7e90","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":"IEEE Access, Vol 12, Pp 176171-176183 (2024)","raw_type":"article"}],"best_oa_location":{"id":"doi:10.1109/access.2024.3502202","is_oa":true,"landing_page_url":"https://doi.org/10.1109/access.2024.3502202","pdf_url":null,"source":{"id":"https://openalex.org/S2485537415","display_name":"IEEE Access","issn_l":"2169-3536","issn":["2169-3536"],"is_oa":true,"is_in_doaj":true,"is_core":true,"host_organization":"https://openalex.org/P4310319808","host_organization_name":"Institute of Electrical and Electronics Engineers","host_organization_lineage":["https://openalex.org/P4310319808"],"host_organization_lineage_names":["Institute of Electrical and Electronics Engineers"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"IEEE Access","raw_type":"journal-article"},"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":48,"referenced_works":["https://openalex.org/W1980564456","https://openalex.org/W1986987108","https://openalex.org/W1987177581","https://openalex.org/W1987721207","https://openalex.org/W2043331640","https://openalex.org/W2059354089","https://openalex.org/W2076556084","https://openalex.org/W2079457935","https://openalex.org/W2184736212","https://openalex.org/W2490816314","https://openalex.org/W2517163564","https://openalex.org/W2549054236","https://openalex.org/W2595218771","https://openalex.org/W2599238723","https://openalex.org/W2600332864","https://openalex.org/W2739405590","https://openalex.org/W2772265564","https://openalex.org/W2784472737","https://openalex.org/W2799498408","https://openalex.org/W2884830853","https://openalex.org/W2903466805","https://openalex.org/W2953509089","https://openalex.org/W2976208158","https://openalex.org/W3022343025","https://openalex.org/W3027192844","https://openalex.org/W3041354098","https://openalex.org/W3042961264","https://openalex.org/W3046536008","https://openalex.org/W3090290152","https://openalex.org/W3164799850","https://openalex.org/W3166515940","https://openalex.org/W3174796173","https://openalex.org/W3186343317","https://openalex.org/W3190086989","https://openalex.org/W3204288155","https://openalex.org/W4205627072","https://openalex.org/W4206258202","https://openalex.org/W4211007335","https://openalex.org/W4239165868","https://openalex.org/W4285255807","https://openalex.org/W4285605593","https://openalex.org/W4292078529","https://openalex.org/W4296903214","https://openalex.org/W4323840408","https://openalex.org/W4388064742","https://openalex.org/W6637791016","https://openalex.org/W6680319871","https://openalex.org/W6689188553"],"related_works":["https://openalex.org/W4391375266","https://openalex.org/W2899084033","https://openalex.org/W2748952813","https://openalex.org/W2383733224","https://openalex.org/W2061850064","https://openalex.org/W2073096583","https://openalex.org/W2014943095","https://openalex.org/W2075911864","https://openalex.org/W2069356849","https://openalex.org/W2390279801"],"abstract_inverted_index":{"The":[0,102],"primary":[1],"purpose":[2],"of":[3,21,33,43,94,105,135,193,206],"this":[4,58,106],"study":[5],"is":[6,61,108,198],"to":[7,38,110,158,180,200],"introduce":[8],"diamond":[9,162],"intuitionistic":[10,22,86,96,163],"fuzzy":[11,23,87,97,164],"sets":[12,24,65,98],"($":[13,166],"\\mathcal":[14,52,75,118,144,167,185],"{D}":[15,53,76,119,145,168,186],"-":[16,54,77,120,146,169,187],"IFS$s).":[17],"Although":[18],"several":[19],"generalizations":[20],"have":[25,177],"been":[26,90,178],"introduced":[27],"in":[28,196],"the":[29,31,41,84,128,182,202,207],"literature,":[30],"constraints":[32],"IFSs":[34],"limit":[35],"decision-makers":[36],"ability":[37],"freely":[39],"choose":[40],"degree":[42],"membership":[44],"(validity,":[45],"etc.)":[46],"and":[47,115,132,153,204],"non-membership":[48],"(non-validity,":[49],"etc.).":[50],"The$":[51],"IFS$,":[55,78],"however,":[56],"offers":[57],"flexibility,":[59],"which":[60],"why":[62],"these":[63,95],"new":[64,151],"are":[66,99,148,156],"introduced.":[67],"By":[68],"applying":[69],"a":[70,79,190],"mild":[71],"restriction":[72],"on":[73],"the$":[74],"novel":[80],"generalization,":[81],"known":[82],"as":[83],"lozenge":[85],"set":[88],"has":[89],"acquired.":[91],"Some":[92],"properties":[93],"characterized":[100],"geometrically.":[101],"main":[103],"aim":[104],"research":[107],"also":[109],"establish":[111],"some":[112,124],"basic":[113],"operations":[114],"inclusions":[116],"for$":[117,143],"IFS$s,":[121],"along":[122],"with":[123],"well-known":[125],"rules.":[126],"On":[127],"other":[129],"hand,":[130],"Szmidt":[131],"Kacprzyk\u2019s":[133],"forms":[134],"Hamming":[136],"distance":[137,141],"measures":[138,142],"and,":[139],"Euclidean":[140],"IFS$s":[147],"defined.":[149],"Additionally,":[150],"score":[152],"accuracy":[154],"functions":[155],"presented":[157],"compare":[159],"newly":[160],"defined":[161],"relations":[165],"IFR$s).":[170],"Moreover,":[171],"two":[172],"new${\\mathscr":[173],"{min}}-":[174],"{\\mathscr":[175],"{max}}$operations":[176],"derived":[179],"analyze":[181],"decomposition":[183],"of$":[184],"IFR$s.":[188],"Finally,":[189],"practical":[191],"assessment":[192],"medical":[194],"diagnosis":[195],"patients":[197],"conducted":[199],"demonstrate":[201],"feasibility":[203],"value":[205],"proposed":[208],"approaches.":[209]},"counts_by_year":[{"year":2026,"cited_by_count":1},{"year":2025,"cited_by_count":5},{"year":2024,"cited_by_count":1}],"updated_date":"2026-08-28T12:50:07.497085","created_date":"2025-10-10T00:00:00"}