{"id":"https://openalex.org/W4402596002","doi":"https://doi.org/10.1007/s40815-024-01766-4","title":"A Distance-Based Approach to Fuzzy Cognitive Maps Using Pythagorean Fuzzy Sets","display_name":"A Distance-Based Approach to Fuzzy Cognitive Maps Using Pythagorean Fuzzy Sets","publication_year":2024,"publication_date":"2024-09-18","ids":{"openalex":"https://openalex.org/W4402596002","doi":"https://doi.org/10.1007/s40815-024-01766-4"},"language":"en","primary_location":{"id":"doi:10.1007/s40815-024-01766-4","is_oa":true,"landing_page_url":"https://doi.org/10.1007/s40815-024-01766-4","pdf_url":"https://link.springer.com/content/pdf/10.1007/s40815-024-01766-4.pdf","source":{"id":"https://openalex.org/S18792341","display_name":"International Journal of Fuzzy Systems","issn_l":"1562-2479","issn":["1562-2479","2199-3211"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319900","host_organization_name":"Springer Science+Business Media","host_organization_lineage":["https://openalex.org/P4310319900","https://openalex.org/P4310319965"],"host_organization_lineage_names":["Springer Science+Business Media","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 Fuzzy Systems","raw_type":"journal-article"},"type":"article","indexed_in":["crossref"],"open_access":{"is_oa":true,"oa_status":"hybrid","oa_url":"https://link.springer.com/content/pdf/10.1007/s40815-024-01766-4.pdf","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5015084302","display_name":"Erhan Bozdag","orcid":"https://orcid.org/0000-0003-4522-9071"},"institutions":[{"id":"https://openalex.org/I48912391","display_name":"Istanbul Technical University","ror":"https://ror.org/059636586","country_code":"TR","type":"education","lineage":["https://openalex.org/I48912391"]}],"countries":["TR"],"is_corresponding":false,"raw_author_name":"Erhan Bozdag","raw_affiliation_strings":["Department of Industrial Engineering, Istanbul Technical University, Istanbul, Turkey"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Industrial Engineering, Istanbul Technical University, Istanbul, Turkey","institution_ids":["https://openalex.org/I48912391"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5043522159","display_name":"\u00c7i\u011fdem Kadaif\u00e7i","orcid":"https://orcid.org/0000-0001-6900-5238"},"institutions":[{"id":"https://openalex.org/I48912391","display_name":"Istanbul Technical University","ror":"https://ror.org/059636586","country_code":"TR","type":"education","lineage":["https://openalex.org/I48912391"]}],"countries":["TR"],"is_corresponding":true,"raw_author_name":"Cigdem Kadaifci","raw_affiliation_strings":["Department of Industrial Engineering, Istanbul Technical University, Istanbul, Turkey"],"raw_orcid":"https://orcid.org/0000-0001-6900-5238","affiliations":[{"raw_affiliation_string":"Department of Industrial Engineering, Istanbul Technical University, Istanbul, Turkey","institution_ids":["https://openalex.org/I48912391"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":["https://openalex.org/A5043522159"],"corresponding_institution_ids":["https://openalex.org/I48912391"],"apc_list":{"value":3490,"currency":"USD","value_usd":3490},"apc_paid":{"value":3490,"currency":"USD","value_usd":3490},"fwci":1.3496,"has_fulltext":true,"cited_by_count":6,"citation_normalized_percentile":{"value":0.8337807,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":96,"max":99},"biblio":{"volume":"27","issue":"1","first_page":"93","last_page":"109"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T12805","display_name":"Cognitive Science and Mapping","score":0.9998999834060669,"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/T12805","display_name":"Cognitive Science and Mapping","score":0.9998999834060669,"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/T10050","display_name":"Multi-Criteria Decision Making","score":0.9976999759674072,"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/T13062","display_name":"Cognitive Computing and Networks","score":0.9406999945640564,"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/fuzzy-cognitive-map","display_name":"Fuzzy cognitive map","score":0.81317138671875},{"id":"https://openalex.org/keywords/decision-maker","display_name":"Decision maker","score":0.6767340302467346},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.6648095846176147},{"id":"https://openalex.org/keywords/fuzzy-logic","display_name":"Fuzzy logic","score":0.6151469945907593},{"id":"https://openalex.org/keywords/pythagorean-theorem","display_name":"Pythagorean theorem","score":0.6073161363601685},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.5593429207801819},{"id":"https://openalex.org/keywords/computational-intelligence","display_name":"Computational intelligence","score":0.47857311367988586},{"id":"https://openalex.org/keywords/machine-learning","display_name":"Machine learning","score":0.3630466163158417},{"id":"https://openalex.org/keywords/fuzzy-set","display_name":"Fuzzy set","score":0.3489813208580017},{"id":"https://openalex.org/keywords/management-science","display_name":"Management science","score":0.32074254751205444},{"id":"https://openalex.org/keywords/operations-research","display_name":"Operations research","score":0.22910156846046448},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.22274717688560486},{"id":"https://openalex.org/keywords/fuzzy-set-operations","display_name":"Fuzzy set operations","score":0.20322483777999878},{"id":"https://openalex.org/keywords/engineering","display_name":"Engineering","score":0.04994034767150879}],"concepts":[{"id":"https://openalex.org/C5041914","wikidata":"https://www.wikidata.org/wiki/Q5511107","display_name":"Fuzzy cognitive map","level":5,"score":0.81317138671875},{"id":"https://openalex.org/C2986080485","wikidata":"https://www.wikidata.org/wiki/Q1331926","display_name":"Decision maker","level":2,"score":0.6767340302467346},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.6648095846176147},{"id":"https://openalex.org/C58166","wikidata":"https://www.wikidata.org/wiki/Q224821","display_name":"Fuzzy logic","level":2,"score":0.6151469945907593},{"id":"https://openalex.org/C100461760","wikidata":"https://www.wikidata.org/wiki/Q11518","display_name":"Pythagorean theorem","level":2,"score":0.6073161363601685},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.5593429207801819},{"id":"https://openalex.org/C139502532","wikidata":"https://www.wikidata.org/wiki/Q1122090","display_name":"Computational intelligence","level":2,"score":0.47857311367988586},{"id":"https://openalex.org/C119857082","wikidata":"https://www.wikidata.org/wiki/Q2539","display_name":"Machine learning","level":1,"score":0.3630466163158417},{"id":"https://openalex.org/C42011625","wikidata":"https://www.wikidata.org/wiki/Q1055058","display_name":"Fuzzy set","level":3,"score":0.3489813208580017},{"id":"https://openalex.org/C539667460","wikidata":"https://www.wikidata.org/wiki/Q2414942","display_name":"Management science","level":1,"score":0.32074254751205444},{"id":"https://openalex.org/C42475967","wikidata":"https://www.wikidata.org/wiki/Q194292","display_name":"Operations research","level":1,"score":0.22910156846046448},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.22274717688560486},{"id":"https://openalex.org/C148671577","wikidata":"https://www.wikidata.org/wiki/Q5511133","display_name":"Fuzzy set operations","level":4,"score":0.20322483777999878},{"id":"https://openalex.org/C127413603","wikidata":"https://www.wikidata.org/wiki/Q11023","display_name":"Engineering","level":0,"score":0.04994034767150879},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.0}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.1007/s40815-024-01766-4","is_oa":true,"landing_page_url":"https://doi.org/10.1007/s40815-024-01766-4","pdf_url":"https://link.springer.com/content/pdf/10.1007/s40815-024-01766-4.pdf","source":{"id":"https://openalex.org/S18792341","display_name":"International Journal of Fuzzy Systems","issn_l":"1562-2479","issn":["1562-2479","2199-3211"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319900","host_organization_name":"Springer Science+Business Media","host_organization_lineage":["https://openalex.org/P4310319900","https://openalex.org/P4310319965"],"host_organization_lineage_names":["Springer Science+Business Media","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 Fuzzy Systems","raw_type":"journal-article"},{"id":"pmh:oai:polen.itu.edu.tr:11527/25376","is_oa":true,"landing_page_url":"http://hdl.handle.net/11527/25376","pdf_url":null,"source":{"id":"https://openalex.org/S4306400460","display_name":"Istanbul Technical University Academic Open Archive (Istanbul Technical University)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I48912391","host_organization_name":"Istanbul Technical University","host_organization_lineage":["https://openalex.org/I48912391"],"host_organization_lineage_names":[],"type":"repository"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"Article"}],"best_oa_location":{"id":"doi:10.1007/s40815-024-01766-4","is_oa":true,"landing_page_url":"https://doi.org/10.1007/s40815-024-01766-4","pdf_url":"https://link.springer.com/content/pdf/10.1007/s40815-024-01766-4.pdf","source":{"id":"https://openalex.org/S18792341","display_name":"International Journal of Fuzzy Systems","issn_l":"1562-2479","issn":["1562-2479","2199-3211"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319900","host_organization_name":"Springer Science+Business Media","host_organization_lineage":["https://openalex.org/P4310319900","https://openalex.org/P4310319965"],"host_organization_lineage_names":["Springer Science+Business Media","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 Fuzzy Systems","raw_type":"journal-article"},"sustainable_development_goals":[],"awards":[],"funders":[{"id":"https://openalex.org/F4320324489","display_name":"Istanbul Teknik \u00dcniversitesi","ror":"https://ror.org/059636586"}],"has_content":{"grobid_xml":true,"pdf":true},"content_urls":{"pdf":"https://content.openalex.org/works/W4402596002.pdf","grobid_xml":"https://content.openalex.org/works/W4402596002.grobid-xml"},"referenced_works_count":54,"referenced_works":["https://openalex.org/W102366918","https://openalex.org/W1501162218","https://openalex.org/W1565516792","https://openalex.org/W1668569279","https://openalex.org/W1829951598","https://openalex.org/W1964012457","https://openalex.org/W1980564456","https://openalex.org/W2007793895","https://openalex.org/W2013932252","https://openalex.org/W2015771776","https://openalex.org/W2023964456","https://openalex.org/W2031604000","https://openalex.org/W2038316598","https://openalex.org/W2056288069","https://openalex.org/W2079457935","https://openalex.org/W2091380827","https://openalex.org/W2092394555","https://openalex.org/W2095224843","https://openalex.org/W2098561270","https://openalex.org/W2104077967","https://openalex.org/W2121657501","https://openalex.org/W2146166096","https://openalex.org/W2164233357","https://openalex.org/W2165834271","https://openalex.org/W2235818444","https://openalex.org/W2280358575","https://openalex.org/W2412590235","https://openalex.org/W2461180090","https://openalex.org/W2566248507","https://openalex.org/W2606111292","https://openalex.org/W2734838912","https://openalex.org/W2756107921","https://openalex.org/W2791402626","https://openalex.org/W2791481089","https://openalex.org/W2896327000","https://openalex.org/W2897386869","https://openalex.org/W2907232709","https://openalex.org/W2996948283","https://openalex.org/W2997256272","https://openalex.org/W3011441444","https://openalex.org/W3014718231","https://openalex.org/W3048526781","https://openalex.org/W3166661598","https://openalex.org/W3171180635","https://openalex.org/W3202470196","https://openalex.org/W4292295629","https://openalex.org/W4313642743","https://openalex.org/W4321496560","https://openalex.org/W4324138259","https://openalex.org/W4384343859","https://openalex.org/W4384408543","https://openalex.org/W4386192139","https://openalex.org/W4389862666","https://openalex.org/W4391444773"],"related_works":["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/W2943864676","https://openalex.org/W4402940957","https://openalex.org/W2747524643"],"abstract_inverted_index":{"Abstract":[0],"Fuzzy":[1,116],"Cognitive":[2],"Maps":[3],"(FCMs)":[4],"have":[5],"been":[6,28],"attracting":[7],"researchers":[8],"from":[9],"a":[10,110,173],"wide":[11],"application":[12],"area":[13],"due":[14],"to":[15,18,30,98,141,163],"being":[16],"easy":[17],"apply":[19],"and":[20,44,59,91,118,159,179],"interpret.":[21],"Since":[22],"its":[23],"proposal,":[24],"the":[25,32,56,60,64,78,82,86,93,123,130,143,146,149,151,165,176,180],"method":[26],"has":[27],"improved":[29],"satisfy":[31],"diverse":[33],"needs":[34],"of":[35,42,48,84,88,96,125,148,167],"practitioners":[36],"such":[37],"as":[38,188],"solving":[39],"different":[40],"types":[41,47],"problems":[43],"representing":[45],"particular":[46],"uncertainty.":[49],"The":[50],"classical":[51,181],"FCMs":[52,119],"depend":[53],"highly":[54],"on":[55],"decision-maker":[57],"judgments":[58,65],"uncertainty":[61,79,144],"inherent":[62],"in":[63],"deserves":[66],"significant":[67],"attention.":[68],"Although":[69],"there":[70],"are":[71,186],"several":[72],"fuzzy":[73],"extensions":[74],"integrated":[75,136],"into":[76,137],"FCMs,":[77,182],"caused":[80],"by":[81],"lack":[83],"knowledge,":[85,127],"hesitancy":[87],"decision":[89,155],"makers,":[90],"also":[92],"limited":[94],"capacity":[95],"humans":[97],"deal":[99],"with":[100],"pre-defined":[101],"rules":[102],"should":[103],"be":[104],"considered.":[105],"To":[106,122,171],"address":[107],"this":[108,128,133],"issue,":[109],"new":[111,152],"distance-based":[112],"approach":[113,153,178],"integrating":[114],"Pythagorean":[115],"Sets":[117],"is":[120,129,135],"proposed.":[121],"best":[124],"our":[126],"first":[131],"time":[132],"extension":[134],"FCMs.":[138],"Besides":[139],"allowing":[140],"represent":[142],"until":[145],"end":[147],"calculations,":[150],"offers":[154],"makers":[156],"an":[157],"easier":[158],"more":[160],"flexible":[161],"way":[162],"assess":[164],"strength":[166],"existing":[168],"causal":[169],"relationships.":[170],"provide":[172],"comparison":[174],"between":[175],"proposed":[177],"two":[183],"real-life":[184],"applications":[185],"selected":[187],"case":[189],"studies.":[190]},"counts_by_year":[{"year":2026,"cited_by_count":3},{"year":2025,"cited_by_count":3}],"updated_date":"2026-08-18T07:49:30.821534","created_date":"2025-10-10T00:00:00"}