{"id":"https://openalex.org/W4390480775","doi":"https://doi.org/10.1109/access.2023.3348780","title":"An Innovative Fermatean Fuzzy Distance Metric With its Application in Classification and Bidirectional Approximate Reasoning","display_name":"An Innovative Fermatean Fuzzy Distance Metric With its Application in Classification and Bidirectional Approximate Reasoning","publication_year":2024,"publication_date":"2024-01-01","ids":{"openalex":"https://openalex.org/W4390480775","doi":"https://doi.org/10.1109/access.2023.3348780"},"language":"en","primary_location":{"id":"doi:10.1109/access.2023.3348780","is_oa":true,"landing_page_url":"https://doi.org/10.1109/access.2023.3348780","pdf_url":"https://ieeexplore.ieee.org/ielx7/6287639/6514899/10378699.pdf","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":null,"license_id":null,"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://ieeexplore.ieee.org/ielx7/6287639/6514899/10378699.pdf","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5011901469","display_name":"Abdul Haseeb Ganie","orcid":"https://orcid.org/0000-0002-0136-7758"},"institutions":[{"id":"https://openalex.org/I120238654","display_name":"Saudi Electronic University","ror":"https://ror.org/05ndh7v49","country_code":"SA","type":"education","lineage":["https://openalex.org/I120238654"]},{"id":"https://openalex.org/I121750182","display_name":"National Institute of Technology Warangal","ror":"https://ror.org/017ebfz38","country_code":"IN","type":"education","lineage":["https://openalex.org/I121750182"]}],"countries":["IN","SA"],"is_corresponding":true,"raw_author_name":"Abdul Haseeb Ganie","raw_affiliation_strings":["Department of Basic Science, College of Science and Theoretical Studies, Saudi Electronic University, Riyadh, Saudi Arabia","Department of Mathematics, National Institute of Technology Warangal, Warangal, India"],"raw_orcid":"https://orcid.org/0000-0002-0136-7758","affiliations":[{"raw_affiliation_string":"Department of Basic Science, College of Science and Theoretical Studies, Saudi Electronic University, Riyadh, Saudi Arabia","institution_ids":["https://openalex.org/I120238654"]},{"raw_affiliation_string":"Department of Mathematics, National Institute of Technology Warangal, Warangal, India","institution_ids":["https://openalex.org/I121750182"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5022964720","display_name":"Nadia El Mokhtar Gheith","orcid":null},"institutions":[{"id":"https://openalex.org/I4210161365","display_name":"Libyan Academy","ror":"https://ror.org/05s3qq987","country_code":"LY","type":"education","lineage":["https://openalex.org/I4210161365"]}],"countries":["LY"],"is_corresponding":false,"raw_author_name":"Nadia El Mokhtar Gheith","raw_affiliation_strings":["Department of Mathematical Sciences, School of Basic Sciences, Libyan Academy for Postgraduate Studies, Janzur, Libya"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Mathematical Sciences, School of Basic Sciences, Libyan Academy for Postgraduate Studies, Janzur, Libya","institution_ids":["https://openalex.org/I4210161365"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5015539435","display_name":"Yousef Al-Qudah","orcid":"https://orcid.org/0000-0001-5952-4990"},"institutions":[{"id":"https://openalex.org/I145380033","display_name":"Amman Arab University","ror":"https://ror.org/039xekb14","country_code":"JO","type":"education","lineage":["https://openalex.org/I145380033"]}],"countries":["JO"],"is_corresponding":false,"raw_author_name":"Yousef Al-Qudah","raw_affiliation_strings":["Department of Mathematics, Faculty of Arts and Science, Amman Arab University, Amman, Jordan"],"raw_orcid":"https://orcid.org/0000-0001-5952-4990","affiliations":[{"raw_affiliation_string":"Department of Mathematics, Faculty of Arts and Science, Amman Arab University, Amman, Jordan","institution_ids":["https://openalex.org/I145380033"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5048530123","display_name":"Abdul Hamid Ganie","orcid":null},"institutions":[{"id":"https://openalex.org/I120238654","display_name":"Saudi Electronic University","ror":"https://ror.org/05ndh7v49","country_code":"SA","type":"education","lineage":["https://openalex.org/I120238654"]},{"id":"https://openalex.org/I121750182","display_name":"National Institute of Technology Warangal","ror":"https://ror.org/017ebfz38","country_code":"IN","type":"education","lineage":["https://openalex.org/I121750182"]}],"countries":["IN","SA"],"is_corresponding":false,"raw_author_name":"Abdul Hamid Ganie","raw_affiliation_strings":["Department of Basic Science, College of Science and Theoretical Studies, Saudi Electronic University, Riyadh, Saudi Arabia","Department of Mathematics, National Institute of Technology Warangal, Warangal, India","Department of Basic Science, College of Science and Theoretical Studies, Saudi Electronic University, PO Box 93499, Riyadh, Kingdom of Saudi Arabia"],"raw_orcid":"https://orcid.org/0000-0002-1787-5036","affiliations":[{"raw_affiliation_string":"Department of Basic Science, College of Science and Theoretical Studies, Saudi Electronic University, Riyadh, Saudi Arabia","institution_ids":["https://openalex.org/I120238654"]},{"raw_affiliation_string":"Department of Mathematics, National Institute of Technology Warangal, Warangal, India","institution_ids":["https://openalex.org/I121750182"]},{"raw_affiliation_string":"Department of Basic Science, College of Science and Theoretical Studies, Saudi Electronic University, PO Box 93499, Riyadh, Kingdom of Saudi Arabia","institution_ids":["https://openalex.org/I120238654"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5101760597","display_name":"Sunny Kumar Sharma","orcid":"https://orcid.org/0009-0009-6760-315X"},"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":false,"raw_author_name":"Sunny Kumar Sharma","raw_affiliation_strings":["Department of Mathematics, Manipal Institute of Technology Bengaluru, Manipal Academy of Higher Education, Manipal, Karnataka, India"],"raw_orcid":"https://orcid.org/0009-0009-6760-315X","affiliations":[{"raw_affiliation_string":"Department of Mathematics, Manipal Institute of Technology Bengaluru, Manipal Academy of Higher Education, Manipal, Karnataka, India","institution_ids":["https://openalex.org/I164861460"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5033343006","display_name":"Amal Aqlan","orcid":null},"institutions":[{"id":"https://openalex.org/I82952536","display_name":"King Khalid University","ror":"https://ror.org/052kwzs30","country_code":"SA","type":"education","lineage":["https://openalex.org/I82952536"]}],"countries":["SA"],"is_corresponding":false,"raw_author_name":"Amal M. Aqlan","raw_affiliation_strings":["Department of Computer Sciences, Applied College, King Khalid University, Muhayil, Saudi Arabia","Department of Computer Sciences, Applied College, King Khalid University, Mohayel Aseer, Saudi Arabia"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Computer Sciences, Applied College, King Khalid University, Muhayil, Saudi Arabia","institution_ids":["https://openalex.org/I82952536"]},{"raw_affiliation_string":"Department of Computer Sciences, Applied College, King Khalid University, Mohayel Aseer, Saudi Arabia","institution_ids":["https://openalex.org/I82952536"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5062500407","display_name":"Mohammed M. Khalaf","orcid":"https://orcid.org/0000-0001-6037-2904"},"institutions":[{"id":"https://openalex.org/I3129754710","display_name":"Alexandria Higher Institute of Engineering and Technology","ror":"https://ror.org/00qm7b611","country_code":"EG","type":"education","lineage":["https://openalex.org/I3129754710"]},{"id":"https://openalex.org/I4210120363","display_name":"Higher Institute of Engineering","ror":"https://ror.org/02pyw9g57","country_code":"EG","type":"education","lineage":["https://openalex.org/I4210120363"]}],"countries":["EG"],"is_corresponding":false,"raw_author_name":"Mohammed M. Khalaf","raw_affiliation_strings":["Department of Mathematics, Higher Institute of Engineering and Technology, King Mariout, Egypt","Department of Mathematics, Higher Institute of Engineering and Technology, King Mariout, P.O. Box 3135, Egypt, Egypt"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Mathematics, Higher Institute of Engineering and Technology, King Mariout, Egypt","institution_ids":["https://openalex.org/I3129754710","https://openalex.org/I4210120363"]},{"raw_affiliation_string":"Department of Mathematics, Higher Institute of Engineering and Technology, King Mariout, P.O. Box 3135, Egypt, Egypt","institution_ids":["https://openalex.org/I4210120363"]}]}],"institutions":[],"countries_distinct_count":5,"institutions_distinct_count":7,"corresponding_author_ids":["https://openalex.org/A5011901469"],"corresponding_institution_ids":["https://openalex.org/I120238654","https://openalex.org/I121750182"],"apc_list":{"value":1850,"currency":"USD","value_usd":1850},"apc_paid":{"value":1850,"currency":"USD","value_usd":1850},"fwci":5.9928,"has_fulltext":true,"cited_by_count":13,"citation_normalized_percentile":{"value":0.96172284,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":90,"max":99},"biblio":{"volume":"12","issue":null,"first_page":"4780","last_page":"4791"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10050","display_name":"Multi-Criteria Decision Making","score":0.9988999962806702,"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":0.9988999962806702,"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/T11106","display_name":"Data Management and Algorithms","score":0.9950000047683716,"subfield":{"id":"https://openalex.org/subfields/1711","display_name":"Signal Processing"},"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/T11063","display_name":"Rough Sets and Fuzzy Logic","score":0.9883999824523926,"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/computer-science","display_name":"Computer science","score":0.5965559482574463},{"id":"https://openalex.org/keywords/metric","display_name":"Metric (unit)","score":0.5759814381599426},{"id":"https://openalex.org/keywords/fuzzy-logic","display_name":"Fuzzy logic","score":0.5203094482421875},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.458365261554718},{"id":"https://openalex.org/keywords/fuzzy-set","display_name":"Fuzzy set","score":0.42264777421951294},{"id":"https://openalex.org/keywords/engineering","display_name":"Engineering","score":0.06062471866607666}],"concepts":[{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.5965559482574463},{"id":"https://openalex.org/C176217482","wikidata":"https://www.wikidata.org/wiki/Q860554","display_name":"Metric (unit)","level":2,"score":0.5759814381599426},{"id":"https://openalex.org/C58166","wikidata":"https://www.wikidata.org/wiki/Q224821","display_name":"Fuzzy logic","level":2,"score":0.5203094482421875},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.458365261554718},{"id":"https://openalex.org/C42011625","wikidata":"https://www.wikidata.org/wiki/Q1055058","display_name":"Fuzzy set","level":3,"score":0.42264777421951294},{"id":"https://openalex.org/C127413603","wikidata":"https://www.wikidata.org/wiki/Q11023","display_name":"Engineering","level":0,"score":0.06062471866607666},{"id":"https://openalex.org/C21547014","wikidata":"https://www.wikidata.org/wiki/Q1423657","display_name":"Operations management","level":1,"score":0.0}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.1109/access.2023.3348780","is_oa":true,"landing_page_url":"https://doi.org/10.1109/access.2023.3348780","pdf_url":"https://ieeexplore.ieee.org/ielx7/6287639/6514899/10378699.pdf","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":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"IEEE Access","raw_type":"journal-article"},{"id":"pmh:oai:doaj.org/article:759295fff3d54295af559c493ce11580","is_oa":true,"landing_page_url":"https://doaj.org/article/759295fff3d54295af559c493ce11580","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 4780-4791 (2024)","raw_type":"article"}],"best_oa_location":{"id":"doi:10.1109/access.2023.3348780","is_oa":true,"landing_page_url":"https://doi.org/10.1109/access.2023.3348780","pdf_url":"https://ieeexplore.ieee.org/ielx7/6287639/6514899/10378699.pdf","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":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"IEEE Access","raw_type":"journal-article"},"sustainable_development_goals":[{"score":0.6899999976158142,"id":"https://metadata.un.org/sdg/16","display_name":"Peace, Justice and strong institutions"}],"awards":[],"funders":[],"has_content":{"grobid_xml":true,"pdf":true},"content_urls":{"pdf":"https://content.openalex.org/works/W4390480775.pdf","grobid_xml":"https://content.openalex.org/works/W4390480775.grobid-xml"},"referenced_works_count":65,"referenced_works":["https://openalex.org/W1505735190","https://openalex.org/W1829951598","https://openalex.org/W1980564456","https://openalex.org/W2013932252","https://openalex.org/W2024517574","https://openalex.org/W2035217114","https://openalex.org/W2079457935","https://openalex.org/W2292359941","https://openalex.org/W2311142332","https://openalex.org/W2345848912","https://openalex.org/W2514754342","https://openalex.org/W2589233777","https://openalex.org/W2593530789","https://openalex.org/W2759777718","https://openalex.org/W2769278513","https://openalex.org/W2790677216","https://openalex.org/W2804105936","https://openalex.org/W2811335600","https://openalex.org/W2883368008","https://openalex.org/W2889162459","https://openalex.org/W2900128988","https://openalex.org/W2904891763","https://openalex.org/W2909916858","https://openalex.org/W2946011719","https://openalex.org/W2951141814","https://openalex.org/W2953509089","https://openalex.org/W2955147474","https://openalex.org/W2968632614","https://openalex.org/W2969852833","https://openalex.org/W2974508190","https://openalex.org/W2997734707","https://openalex.org/W2999935177","https://openalex.org/W3017274266","https://openalex.org/W3034305775","https://openalex.org/W3041355698","https://openalex.org/W3046536008","https://openalex.org/W3061903604","https://openalex.org/W3096677443","https://openalex.org/W3111674603","https://openalex.org/W3115482525","https://openalex.org/W3136180232","https://openalex.org/W3169050928","https://openalex.org/W3175598130","https://openalex.org/W3182018837","https://openalex.org/W3203482698","https://openalex.org/W3206571476","https://openalex.org/W4200005214","https://openalex.org/W4211007335","https://openalex.org/W4212857100","https://openalex.org/W4213301514","https://openalex.org/W4224062983","https://openalex.org/W4226040094","https://openalex.org/W4226148192","https://openalex.org/W4283072157","https://openalex.org/W4283079205","https://openalex.org/W4283696267","https://openalex.org/W4285231916","https://openalex.org/W4306249322","https://openalex.org/W4308174578","https://openalex.org/W4313551697","https://openalex.org/W4362578352","https://openalex.org/W4366200112","https://openalex.org/W4372280146","https://openalex.org/W4378365018","https://openalex.org/W4380686121"],"related_works":["https://openalex.org/W4391375266","https://openalex.org/W2899084033","https://openalex.org/W2748952813","https://openalex.org/W2390279801","https://openalex.org/W4391913857","https://openalex.org/W2358668433","https://openalex.org/W4396701345","https://openalex.org/W2376932109","https://openalex.org/W2001405890","https://openalex.org/W4396696052"],"abstract_inverted_index":{"The":[0,76,148,192],"concept":[1],"of":[2,96,135,145,151,181,194],"Fermatean":[3,56,83,97,138,155,197],"fuzzy":[4,13,29,57,84,98,139,156,185,198],"set":[5],"offers":[6],"a":[7,50,87],"more":[8],"comprehensive":[9],"perspective":[10],"on":[11,82],"Pythagorean":[12,28,184],"sets,":[14,99],"with":[15,142,159],"greater":[16],"potential":[17],"for":[18],"practical":[19],"applications":[20],"due":[21],"to":[22,27,68,113,131,173,177],"its":[23],"broader":[24],"scope":[25],"compared":[26,67],"sets.":[30],"In":[31],"contrast,":[32],"distance":[33,52,61,70,79,106,125,140,146,157,162,186,199],"measures":[34,39,71],"serve":[35],"as":[36],"effective":[37],"information":[38],"in":[40,73,123,171,203],"decision-making":[41],"using":[42],"deep":[43],"learning":[44],"methods.":[45],"This":[46,59,105],"research":[47],"paper":[48],"introduces":[49],"novel":[51],"measure":[53,62,158,200],"within":[54],"the":[55,133,152,179,182,189,195],"framework.":[58],"new":[60,137],"exhibit":[63],"enhanced":[64],"performance":[65],"indices":[66],"existing":[69,103,161,190],"discussed":[72],"previous":[74],"literature.":[75],"newly":[77,153],"proposed":[78,183,196],"operators":[80],"based":[81],"sets":[85],"offer":[86],"fresh":[88],"approach":[89],"by":[90,117],"considering":[91],"all":[92,110],"three":[93],"membership":[94,111],"functions":[95,112],"which":[100,119],"differs":[101],"from":[102],"practices.":[104],"operator":[107],"also":[108,170],"incorporate":[109],"prevent":[114],"errors":[115],"caused":[116],"exclusions,":[118],"have":[120],"been":[121],"observed":[122],"other":[124],"operators.":[126,147],"Several":[127],"theorems":[128],"are":[129],"provided":[130],"validate":[132],"alignment":[134],"this":[136],"technique":[141],"properties":[143],"expected":[144],"comparative":[149],"analysis":[150],"introduced":[154],"similar":[160],"techniques":[163,187],"is":[164,201],"conducted":[165],"through":[166],"numerical":[167],"comparison":[168],"and":[169,208],"relation":[172],"their":[174],"applications,":[175],"aiming":[176],"highlight":[178],"superiority":[180],"over":[188],"ones.":[191],"application":[193],"demonstrated":[202],"scenarios":[204],"involving":[205],"pattern":[206],"classification":[207],"bidirectional":[209],"approximate":[210],"reasoning.":[211]},"counts_by_year":[{"year":2026,"cited_by_count":2},{"year":2025,"cited_by_count":10},{"year":2024,"cited_by_count":1}],"updated_date":"2026-05-06T08:25:59.206177","created_date":"2025-10-10T00:00:00"}