{"id":"https://openalex.org/W4396853465","doi":"https://doi.org/10.1007/s44196-024-00504-w","title":"Complex Pythagorean Normal Interval-Valued Fuzzy Aggregation Operators for Solving Medical Diagnosis Problem","display_name":"Complex Pythagorean Normal Interval-Valued Fuzzy Aggregation Operators for Solving Medical Diagnosis Problem","publication_year":2024,"publication_date":"2024-05-13","ids":{"openalex":"https://openalex.org/W4396853465","doi":"https://doi.org/10.1007/s44196-024-00504-w"},"language":"en","primary_location":{"id":"doi:10.1007/s44196-024-00504-w","is_oa":true,"landing_page_url":"https://doi.org/10.1007/s44196-024-00504-w","pdf_url":"https://link.springer.com/content/pdf/10.1007/s44196-024-00504-w.pdf","source":{"id":"https://openalex.org/S190680769","display_name":"International Journal of Computational Intelligence Systems","issn_l":"1875-6883","issn":["1875-6883","1875-6891"],"is_oa":true,"is_in_doaj":true,"is_core":true,"host_organization":"https://openalex.org/P4310319965","host_organization_name":"Springer Nature","host_organization_lineage":["https://openalex.org/P4310319965"],"host_organization_lineage_names":["Springer Nature"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"International Journal of Computational Intelligence Systems","raw_type":"journal-article"},"type":"article","indexed_in":["crossref","doaj"],"open_access":{"is_oa":true,"oa_status":"gold","oa_url":"https://link.springer.com/content/pdf/10.1007/s44196-024-00504-w.pdf","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5029860521","display_name":"M. Palanikumar","orcid":null},"institutions":[{"id":"https://openalex.org/I85461943","display_name":"Saveetha University","ror":"https://ror.org/0034me914","country_code":"IN","type":"education","lineage":["https://openalex.org/I85461943"]}],"countries":["IN"],"is_corresponding":false,"raw_author_name":"Murugan Palanikumar","raw_affiliation_strings":["Department of Mathematics, Saveetha School of Engineering, Saveetha Institute of Medical and Technical Sciences, Saveetha University, Chennai, 602105, India"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Mathematics, Saveetha School of Engineering, Saveetha Institute of Medical and Technical Sciences, Saveetha University, Chennai, 602105, India","institution_ids":["https://openalex.org/I85461943"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5003279407","display_name":"Nasreen Kausar","orcid":"https://orcid.org/0000-0002-8659-0747"},"institutions":[{"id":"https://openalex.org/I4101805","display_name":"Y\u0131ld\u0131z Technical University","ror":"https://ror.org/0547yzj13","country_code":"TR","type":"education","lineage":["https://openalex.org/I4101805"]}],"countries":["TR"],"is_corresponding":false,"raw_author_name":"Nasreen Kausar","raw_affiliation_strings":["Department of Mathematics, Faculty of Arts and Science, Yildiz Technical University, 34220, Esenler, Istanbul, Turkey"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Mathematics, Faculty of Arts and Science, Yildiz Technical University, 34220, Esenler, Istanbul, Turkey","institution_ids":["https://openalex.org/I4101805"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5101712335","display_name":"Dragan Pamucar","orcid":"https://orcid.org/0000-0002-0380-0340"},"institutions":[{"id":"https://openalex.org/I113330528","display_name":"Khazar University","ror":"https://ror.org/014te7048","country_code":"AZ","type":"education","lineage":["https://openalex.org/I113330528"]},{"id":"https://openalex.org/I4068193","display_name":"University of Belgrade","ror":"https://ror.org/02qsmb048","country_code":"RS","type":"education","lineage":["https://openalex.org/I4068193"]},{"id":"https://openalex.org/I99908691","display_name":"Yuan Ze University","ror":"https://ror.org/01fv1ds98","country_code":"TW","type":"education","lineage":["https://openalex.org/I99908691"]}],"countries":["AZ","RS","TW"],"is_corresponding":false,"raw_author_name":"Dragan Pamucar","raw_affiliation_strings":["College of Engineering, Yuan Ze University, Taoyuan City, Taiwan","Department of Economics and Management, Khazar University, Baku, Azerbaijan","Department of Operations Research and Statistics, Faculty of Organizational Science, University of Belgrade, Belgrade, Serbia"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"College of Engineering, Yuan Ze University, Taoyuan City, Taiwan","institution_ids":["https://openalex.org/I99908691"]},{"raw_affiliation_string":"Department of Economics and Management, Khazar University, Baku, Azerbaijan","institution_ids":["https://openalex.org/I113330528"]},{"raw_affiliation_string":"Department of Operations Research and Statistics, Faculty of Organizational Science, University of Belgrade, Belgrade, Serbia","institution_ids":["https://openalex.org/I4068193"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5042616241","display_name":"Salma Khan","orcid":"https://orcid.org/0000-0003-1840-2764"},"institutions":[{"id":"https://openalex.org/I263208278","display_name":"Hazara University","ror":"https://ror.org/018y22094","country_code":"PK","type":"education","lineage":["https://openalex.org/I263208278"]}],"countries":["PK"],"is_corresponding":false,"raw_author_name":"Salma Khan","raw_affiliation_strings":["Department of Mathematics and Statistics, Hazara University Mansehra, Mansehra, Khyber Pakhtunkhwa, 21300, Pakistan"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Mathematics and Statistics, Hazara University Mansehra, Mansehra, Khyber Pakhtunkhwa, 21300, Pakistan","institution_ids":["https://openalex.org/I263208278"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5103185178","display_name":"Mohd Asif Shah","orcid":"https://orcid.org/0000-0002-0351-9559"},"institutions":[{"id":"https://openalex.org/I110360157","display_name":"Lovely Professional University","ror":"https://ror.org/00et6q107","country_code":"IN","type":"education","lineage":["https://openalex.org/I110360157"]},{"id":"https://openalex.org/I4210107262","display_name":"Amhara Agricultural Research Institute","ror":"https://ror.org/01vwxpj86","country_code":"ET","type":"government","lineage":["https://openalex.org/I4210107262"]},{"id":"https://openalex.org/I4387152840","display_name":"Kebri Dehar University","ror":"https://ror.org/00r6xxj20","country_code":null,"type":"education","lineage":["https://openalex.org/I4387152840"]}],"countries":["ET","IN"],"is_corresponding":true,"raw_author_name":"Mohd Asif Shah","raw_affiliation_strings":["Department of Economics, Kebri Dehar University, Po Box 250, Kebri Dehar, Somali, Ethiopia","Division of Research and Development, Lovely Professional University, Phagwara, Punjab, 144001, India"],"raw_orcid":"https://orcid.org/0000-0002-0351-9559","affiliations":[{"raw_affiliation_string":"Department of Economics, Kebri Dehar University, Po Box 250, Kebri Dehar, Somali, Ethiopia","institution_ids":["https://openalex.org/I4210107262","https://openalex.org/I4387152840"]},{"raw_affiliation_string":"Division of Research and Development, Lovely Professional University, Phagwara, Punjab, 144001, India","institution_ids":["https://openalex.org/I110360157"]}]}],"institutions":[],"countries_distinct_count":7,"institutions_distinct_count":5,"corresponding_author_ids":["https://openalex.org/A5103185178"],"corresponding_institution_ids":["https://openalex.org/I110360157","https://openalex.org/I4210107262","https://openalex.org/I4387152840"],"apc_list":{"value":1390,"currency":"GBP","value_usd":1704},"apc_paid":{"value":1390,"currency":"GBP","value_usd":1704},"fwci":0.8626,"has_fulltext":false,"cited_by_count":2,"citation_normalized_percentile":{"value":0.74576108,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":95,"max":96},"biblio":{"volume":"17","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":0.9959999918937683,"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":0.9959999918937683,"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/T13608","display_name":"Advanced Computational Techniques in Science and Engineering","score":0.9713000059127808,"subfield":{"id":"https://openalex.org/subfields/1710","display_name":"Information Systems"},"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/T12135","display_name":"Fuzzy Systems and Optimization","score":0.9711999893188477,"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/pythagorean-theorem","display_name":"Pythagorean theorem","score":0.9101399183273315},{"id":"https://openalex.org/keywords/interval","display_name":"Interval (graph theory)","score":0.5958320498466492},{"id":"https://openalex.org/keywords/fuzzy-logic","display_name":"Fuzzy logic","score":0.525805652141571},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.5027484893798828},{"id":"https://openalex.org/keywords/calculus","display_name":"Calculus (dental)","score":0.36431804299354553},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.35899120569229126},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.26482468843460083},{"id":"https://openalex.org/keywords/medicine","display_name":"Medicine","score":0.22779381275177002},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.21596777439117432}],"concepts":[{"id":"https://openalex.org/C100461760","wikidata":"https://www.wikidata.org/wiki/Q11518","display_name":"Pythagorean theorem","level":2,"score":0.9101399183273315},{"id":"https://openalex.org/C2778067643","wikidata":"https://www.wikidata.org/wiki/Q166507","display_name":"Interval (graph theory)","level":2,"score":0.5958320498466492},{"id":"https://openalex.org/C58166","wikidata":"https://www.wikidata.org/wiki/Q224821","display_name":"Fuzzy logic","level":2,"score":0.525805652141571},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.5027484893798828},{"id":"https://openalex.org/C2777686260","wikidata":"https://www.wikidata.org/wiki/Q144037","display_name":"Calculus (dental)","level":2,"score":0.36431804299354553},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.35899120569229126},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.26482468843460083},{"id":"https://openalex.org/C71924100","wikidata":"https://www.wikidata.org/wiki/Q11190","display_name":"Medicine","level":0,"score":0.22779381275177002},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.21596777439117432},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.0},{"id":"https://openalex.org/C199343813","wikidata":"https://www.wikidata.org/wiki/Q12128","display_name":"Dentistry","level":1,"score":0.0}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.1007/s44196-024-00504-w","is_oa":true,"landing_page_url":"https://doi.org/10.1007/s44196-024-00504-w","pdf_url":"https://link.springer.com/content/pdf/10.1007/s44196-024-00504-w.pdf","source":{"id":"https://openalex.org/S190680769","display_name":"International Journal of Computational Intelligence Systems","issn_l":"1875-6883","issn":["1875-6883","1875-6891"],"is_oa":true,"is_in_doaj":true,"is_core":true,"host_organization":"https://openalex.org/P4310319965","host_organization_name":"Springer Nature","host_organization_lineage":["https://openalex.org/P4310319965"],"host_organization_lineage_names":["Springer Nature"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"International Journal of Computational Intelligence Systems","raw_type":"journal-article"},{"id":"pmh:oai:doaj.org/article:98c2a7a8935347638ce0dda46cad965f","is_oa":true,"landing_page_url":"https://doaj.org/article/98c2a7a8935347638ce0dda46cad965f","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":"International Journal of Computational Intelligence Systems, Vol 17, Iss 1, Pp 1-28 (2024)","raw_type":"article"}],"best_oa_location":{"id":"doi:10.1007/s44196-024-00504-w","is_oa":true,"landing_page_url":"https://doi.org/10.1007/s44196-024-00504-w","pdf_url":"https://link.springer.com/content/pdf/10.1007/s44196-024-00504-w.pdf","source":{"id":"https://openalex.org/S190680769","display_name":"International Journal of Computational Intelligence Systems","issn_l":"1875-6883","issn":["1875-6883","1875-6891"],"is_oa":true,"is_in_doaj":true,"is_core":true,"host_organization":"https://openalex.org/P4310319965","host_organization_name":"Springer Nature","host_organization_lineage":["https://openalex.org/P4310319965"],"host_organization_lineage_names":["Springer Nature"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"International Journal of Computational Intelligence Systems","raw_type":"journal-article"},"sustainable_development_goals":[{"display_name":"Peace, Justice and strong institutions","score":0.8100000023841858,"id":"https://metadata.un.org/sdg/16"}],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":true},"content_urls":{"pdf":"https://content.openalex.org/works/W4396853465.pdf"},"referenced_works_count":43,"referenced_works":["https://openalex.org/W1649273148","https://openalex.org/W1765570948","https://openalex.org/W1829951598","https://openalex.org/W1969882757","https://openalex.org/W1978062397","https://openalex.org/W1980564456","https://openalex.org/W2002636607","https://openalex.org/W2012575173","https://openalex.org/W2013932252","https://openalex.org/W2097403045","https://openalex.org/W2474884296","https://openalex.org/W2624109864","https://openalex.org/W2796547704","https://openalex.org/W2800049629","https://openalex.org/W2871390967","https://openalex.org/W2904891763","https://openalex.org/W2911591129","https://openalex.org/W2919513668","https://openalex.org/W2945404912","https://openalex.org/W2971521599","https://openalex.org/W2991428249","https://openalex.org/W2991496159","https://openalex.org/W3010151818","https://openalex.org/W3010203202","https://openalex.org/W3043586643","https://openalex.org/W3049097111","https://openalex.org/W3083248186","https://openalex.org/W3093611309","https://openalex.org/W3190556992","https://openalex.org/W3198355642","https://openalex.org/W4206546502","https://openalex.org/W4206802925","https://openalex.org/W4211007335","https://openalex.org/W4214865167","https://openalex.org/W4225009741","https://openalex.org/W4283067317","https://openalex.org/W4283797168","https://openalex.org/W4304208794","https://openalex.org/W4313406562","https://openalex.org/W4362729054","https://openalex.org/W4366090523","https://openalex.org/W4382400463","https://openalex.org/W4383162870"],"related_works":["https://openalex.org/W4391375266","https://openalex.org/W2995447873","https://openalex.org/W1802380781","https://openalex.org/W4210969441","https://openalex.org/W4313271080","https://openalex.org/W4378767041","https://openalex.org/W2050612014","https://openalex.org/W3166167233","https://openalex.org/W2387128994","https://openalex.org/W3093594498"],"abstract_inverted_index":{"Abstract":[0],"This":[1],"paper":[2],"presents":[3],"a":[4,14,28,118,227],"new":[5],"methodology":[6],"for":[7,117],"solving":[8],"multiple-attribute":[9],"decision-making":[10],"problems":[11,105],"(MADMs)":[12],"using":[13],"complex":[15,29,90],"Pythagorean":[16,30,91],"normal":[17,92],"interval-valued":[18,93],"fuzzy":[19,31,94],"set":[20],"(CPNIVFS),":[21],"which":[22,166],"is":[23,99,114,212,253,272],"an":[24,97,173],"extended":[25],"concept":[26],"of":[27,35,66,138,145,162,172,217],"set.":[32],"Four":[33],"types":[34,144,161],"different":[36],"aggregating":[37],"operations":[38],"(AOs),":[39],"including":[40,185],"CPNIVF":[41,45],"weighted":[42,46],"averaging":[43],"(CPNIVFWA),":[44],"geometric":[47],"(CPNIVFWG),":[48],"generalized":[49,53],"CPNIVFWA":[50],"(CGPNIVFWA),":[51],"and":[52,63,80,128,158,191,198,263,265,275],"CPNIVFWG":[54],"(CGPNIVFWG),":[55],"are":[56,69,83,132,152,164,167,283],"discussed.":[57],"The":[58,111,142,234,250],"scoring":[59],"function,":[60,62],"accuracy":[61],"operational":[64],"laws":[65],"the":[67,103,108,134,196,201,215,218,232,246,256,266,270,278,281,290],"CPNIVFS":[68],"defined.":[70],"Algebraic":[71],"structures,":[72],"such":[73],"as":[74,170],"associative,":[75],"distributive,":[76],"idempotent,":[77],"bounded,":[78],"commutativity,":[79],"monotonicity":[81],"properties,":[82],"also":[84],"shown":[85],"to":[86,101,259,288],"be":[87,180,206,240],"satisfied":[88],"by":[89,242,285],"numbers.":[95],"Furthermore,":[96],"algorithm":[98],"proposed":[100,112,248,251],"solve":[102],"MADM":[104],"based":[106],"on":[107,195],"defined":[109],"AOs.":[110],"approach":[113],"then":[115],"used":[116],"medical":[119],"diagnosis":[120],"problem":[121],"about":[122],"brain":[123,139,146],"tumors":[124,147,178],"because":[125],"computer":[126],"science":[127],"machine":[129],"tool":[130],"technology":[131],"among":[133],"most":[135,202,291],"important":[136],"components":[137],"tumor":[140],"research.":[141],"five":[143],"diagnosed":[148],"in":[149,182,230],"these":[150],"patients":[151],"gliomas,":[153],"meningiomas,":[154],"metastases,":[155],"embryonal":[156],"tumors,":[157],"ependymomas.":[159],"Several":[160],"treatments":[163],"available,":[165],"often":[168],"combined":[169],"part":[171],"overall":[174],"treatment":[175,204],"plan.":[176],"Brain":[177],"can":[179,205,239],"treated":[181],"various":[183],"ways,":[184],"surgery,":[186],"radiation":[187],"therapy,":[188],"chemotherapy,":[189],"immunotherapy,":[190],"clinical":[192],"trials.":[193],"Based":[194],"comparisons":[197],"options":[199],"gathered,":[200],"suitable":[203],"chosen.":[207],"In":[208],"this":[209],"regard,":[210],"it":[211],"evident":[213],"that":[214,269],"value":[216],"integer":[219],"$$\\Game":[220],"$$":[221],"<mml:math":[222],"xmlns:mml=\"http://www.w3.org/1998/Math/MathML\">":[223],"<mml:mi>\u2141</mml:mi>":[224],"</mml:math>":[225],"plays":[226],"significant":[228],"role":[229],"determining":[231],"model.":[233],"candidate":[235],"models":[236],"under":[237],"consideration":[238],"validated":[241],"comparing":[243],"them":[244],"with":[245,255],"previously":[247],"ones.":[249],"technique":[252],"compared":[254],"existing":[257],"method":[258],"demonstrate":[260],"its":[261],"superiority":[262],"validity,":[264],"results":[267],"conclude":[268],"former":[271],"more":[273],"reliable":[274],"effective":[276],"than":[277],"latter.":[279],"Finally,":[280],"criteria":[282],"evaluated":[284],"expert":[286],"assessments":[287],"determine":[289],"appropriate":[292],"options.":[293]},"counts_by_year":[{"year":2025,"cited_by_count":2}],"updated_date":"2026-06-13T06:13:01.061226","created_date":"2025-10-10T00:00:00"}
