{"id":"https://openalex.org/W4413800162","doi":"https://doi.org/10.1007/s40747-025-01990-x","title":"A novel decision-making approach using three-way decision in fractional fuzzy environment","display_name":"A novel decision-making approach using three-way decision in fractional fuzzy environment","publication_year":2025,"publication_date":"2025-08-28","ids":{"openalex":"https://openalex.org/W4413800162","doi":"https://doi.org/10.1007/s40747-025-01990-x"},"language":"en","primary_location":{"id":"doi:10.1007/s40747-025-01990-x","is_oa":true,"landing_page_url":"https://doi.org/10.1007/s40747-025-01990-x","pdf_url":"https://link.springer.com/content/pdf/10.1007/s40747-025-01990-x.pdf","source":{"id":"https://openalex.org/S3035462843","display_name":"Complex & Intelligent Systems","issn_l":"2198-6053","issn":["2198-6053","2199-4536"],"is_oa":true,"is_in_doaj":true,"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-nc-nd","license_id":"https://openalex.org/licenses/cc-by-nc-nd","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Complex & Intelligent 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/s40747-025-01990-x.pdf","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5077817609","display_name":"Saleem Abdullah","orcid":"https://orcid.org/0000-0002-7474-5115"},"institutions":[{"id":"https://openalex.org/I181063083","display_name":"Abdul Wali Khan University Mardan","ror":"https://ror.org/03b9y4e65","country_code":"PK","type":"education","lineage":["https://openalex.org/I181063083"]}],"countries":["PK"],"is_corresponding":false,"raw_author_name":"Saleem Abdullah","raw_affiliation_strings":["Department of Mathematics, Abdul Wali Khan University Mardan, Mardan, 23200, Khyber Pakhtunkhwa, Pakistan"],"affiliations":[{"raw_affiliation_string":"Department of Mathematics, Abdul Wali Khan University Mardan, Mardan, 23200, Khyber Pakhtunkhwa, Pakistan","institution_ids":["https://openalex.org/I181063083"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5010926345","display_name":"Saifullah","orcid":null},"institutions":[{"id":"https://openalex.org/I181063083","display_name":"Abdul Wali Khan University Mardan","ror":"https://ror.org/03b9y4e65","country_code":"PK","type":"education","lineage":["https://openalex.org/I181063083"]}],"countries":["PK"],"is_corresponding":false,"raw_author_name":"Saifullah","raw_affiliation_strings":["Department of Mathematics, Abdul Wali Khan University Mardan, Mardan, 23200, Khyber Pakhtunkhwa, Pakistan"],"affiliations":[{"raw_affiliation_string":"Department of Mathematics, Abdul Wali Khan University Mardan, Mardan, 23200, Khyber Pakhtunkhwa, Pakistan","institution_ids":["https://openalex.org/I181063083"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5055261002","display_name":"Samuel Okyere","orcid":"https://orcid.org/0000-0001-6262-1628"},"institutions":[{"id":"https://openalex.org/I28046988","display_name":"Kwame Nkrumah University of Science and Technology","ror":"https://ror.org/00cb23x68","country_code":"GH","type":"education","lineage":["https://openalex.org/I28046988"]}],"countries":["GH"],"is_corresponding":true,"raw_author_name":"Samuel Okyere","raw_affiliation_strings":["Department of Mathematics, Kwame Nkrumah University of Science and Technology, Kumasi, Ghana"],"affiliations":[{"raw_affiliation_string":"Department of Mathematics, Kwame Nkrumah University of Science and Technology, Kumasi, Ghana","institution_ids":["https://openalex.org/I28046988"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":3,"corresponding_author_ids":["https://openalex.org/A5055261002"],"corresponding_institution_ids":["https://openalex.org/I28046988"],"apc_list":{"value":1320,"currency":"GBP","value_usd":1619},"apc_paid":{"value":1320,"currency":"GBP","value_usd":1619},"fwci":2.201,"has_fulltext":true,"cited_by_count":1,"citation_normalized_percentile":{"value":0.89690765,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":97,"max":99},"biblio":{"volume":"11","issue":"10","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":0.9976000189781189,"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":0.9976000189781189,"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/T12709","display_name":"Optimization and Mathematical Programming","score":0.9851999878883362,"subfield":{"id":"https://openalex.org/subfields/2207","display_name":"Control and Systems Engineering"},"field":{"id":"https://openalex.org/fields/22","display_name":"Engineering"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T10820","display_name":"Fuzzy Logic and Control Systems","score":0.9646999835968018,"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/computational-intelligence","display_name":"Computational intelligence","score":0.7806917428970337},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.5141990184783936},{"id":"https://openalex.org/keywords/fuzzy-logic","display_name":"Fuzzy logic","score":0.5104748010635376},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.4539194107055664},{"id":"https://openalex.org/keywords/management-science","display_name":"Management science","score":0.3528365194797516},{"id":"https://openalex.org/keywords/engineering","display_name":"Engineering","score":0.20828744769096375}],"concepts":[{"id":"https://openalex.org/C139502532","wikidata":"https://www.wikidata.org/wiki/Q1122090","display_name":"Computational intelligence","level":2,"score":0.7806917428970337},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.5141990184783936},{"id":"https://openalex.org/C58166","wikidata":"https://www.wikidata.org/wiki/Q224821","display_name":"Fuzzy logic","level":2,"score":0.5104748010635376},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.4539194107055664},{"id":"https://openalex.org/C539667460","wikidata":"https://www.wikidata.org/wiki/Q2414942","display_name":"Management science","level":1,"score":0.3528365194797516},{"id":"https://openalex.org/C127413603","wikidata":"https://www.wikidata.org/wiki/Q11023","display_name":"Engineering","level":0,"score":0.20828744769096375}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.1007/s40747-025-01990-x","is_oa":true,"landing_page_url":"https://doi.org/10.1007/s40747-025-01990-x","pdf_url":"https://link.springer.com/content/pdf/10.1007/s40747-025-01990-x.pdf","source":{"id":"https://openalex.org/S3035462843","display_name":"Complex & Intelligent Systems","issn_l":"2198-6053","issn":["2198-6053","2199-4536"],"is_oa":true,"is_in_doaj":true,"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-nc-nd","license_id":"https://openalex.org/licenses/cc-by-nc-nd","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Complex & Intelligent Systems","raw_type":"journal-article"},{"id":"pmh:oai:doaj.org/article:740ba7ffd9a449fda1db3b141b5f4835","is_oa":true,"landing_page_url":"https://doaj.org/article/740ba7ffd9a449fda1db3b141b5f4835","pdf_url":null,"source":{"id":"https://openalex.org/S112646816","display_name":"SHILAP Revista de lepidopterolog\u00eda","issn_l":"0300-5267","issn":["0300-5267","2340-4078"],"is_oa":true,"is_in_doaj":true,"is_core":false,"host_organization":null,"host_organization_name":null,"host_organization_lineage":[],"host_organization_lineage_names":[],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"Complex & Intelligent Systems, Vol 11, Iss 10, Pp 1-19 (2025)","raw_type":"article"}],"best_oa_location":{"id":"doi:10.1007/s40747-025-01990-x","is_oa":true,"landing_page_url":"https://doi.org/10.1007/s40747-025-01990-x","pdf_url":"https://link.springer.com/content/pdf/10.1007/s40747-025-01990-x.pdf","source":{"id":"https://openalex.org/S3035462843","display_name":"Complex & Intelligent Systems","issn_l":"2198-6053","issn":["2198-6053","2199-4536"],"is_oa":true,"is_in_doaj":true,"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-nc-nd","license_id":"https://openalex.org/licenses/cc-by-nc-nd","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Complex & Intelligent Systems","raw_type":"journal-article"},"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"grobid_xml":true,"pdf":true},"content_urls":{"pdf":"https://content.openalex.org/works/W4413800162.pdf","grobid_xml":"https://content.openalex.org/works/W4413800162.grobid-xml"},"referenced_works_count":36,"referenced_works":["https://openalex.org/W62273966","https://openalex.org/W217726381","https://openalex.org/W1668569279","https://openalex.org/W1971875039","https://openalex.org/W1981107087","https://openalex.org/W1995654381","https://openalex.org/W2070813883","https://openalex.org/W2079457935","https://openalex.org/W2292359941","https://openalex.org/W2514754342","https://openalex.org/W2600072788","https://openalex.org/W2803805496","https://openalex.org/W2901808439","https://openalex.org/W2921979788","https://openalex.org/W2954564253","https://openalex.org/W2980272624","https://openalex.org/W3016482975","https://openalex.org/W3037338019","https://openalex.org/W3041103914","https://openalex.org/W3083370468","https://openalex.org/W3097542744","https://openalex.org/W3173498505","https://openalex.org/W3198142406","https://openalex.org/W3198355642","https://openalex.org/W3205850847","https://openalex.org/W4200228453","https://openalex.org/W4210835717","https://openalex.org/W4211007335","https://openalex.org/W4226117561","https://openalex.org/W4297802482","https://openalex.org/W4362601077","https://openalex.org/W4386805300","https://openalex.org/W4387946404","https://openalex.org/W4392284115","https://openalex.org/W4401351297","https://openalex.org/W4401438403"],"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":{"Multi-criteria":[0],"decision-making":[1,57,82,201],"approach":[2],"serves":[3,50],"as":[4,51,102],"a":[5,37,52,125],"prominent":[6],"method":[7,154],"for":[8,149],"addressing":[9],"authentic":[10],"real-world":[11],"scenarios":[12,34],"and":[13,71,105,108,141,185,220],"exploring":[14],"optimal":[15,173],"solutions":[16],"by":[17,36],"taking":[18],"into":[19],"account":[20],"relevant":[21],"criteria":[22,81],"or":[23],"attributes.":[24],"Decision":[25,152],"making":[26],"in":[27,55,74],"the":[28,43,56,79,145,163,171,179,192,195,218,223],"context":[29],"of":[30,40,62,94,128,135,194,222],"uncertainty":[31,63],"pertains":[32],"to":[33,68,169,198,216],"characterized":[35],"significant":[38],"absence":[39],"information,":[41],"wherein":[42],"functional":[44],"relationships":[45],"remain":[46],"entirely":[47],"unspecified.":[48],"Data":[49],"crucial":[53],"component":[54],"process":[58,166,178],"encompassing":[59],"varying":[60],"degrees":[61],"that":[64,144],"require":[65],"distinct":[66],"methodologies":[67],"ensure":[69],"sound":[70],"valid.":[72],"Therefore,":[73],"this":[75],"paper":[76],"we":[77,89,123,208],"investigate":[78],"multi":[80],"problem":[83],"with":[84,133,213],"fractional":[85,97,115,156],"fuzzy":[86,98,116,157],"information.":[87],"Then,":[88],"first":[90],"develop":[91,110,124],"two":[92],"types":[93],"operations":[95],"on":[96,119],"set":[99,127],"(FFS)":[100],"such":[101],"Einstein":[103,106,129],"sum":[104],"product":[107],"further":[109],"novel":[111],"operational":[112,121],"laws":[113],"under":[114,155],"environment.":[117],"Based":[118],"these":[120],"laws,":[122],"new":[126],"aggregation":[130],"operators":[131],"along":[132],"some":[134],"its":[136],"properties":[137],"like":[138],"Idempotency,":[139],"monotonicity,":[140],"boundedness.":[142],"After":[143],"TODIM":[146],"(Portuguese":[147],"acronym":[148],"Interactive":[150],"Multi-Criteria":[151],"Making)":[153],"information":[158],"are":[159],"briefly":[160],"analyzed.":[161],"Furthermore,":[162],"three-way":[164,176],"decision":[165,186],"was":[167,205],"discussed":[168],"give":[170],"best":[172],"results.":[174],"In":[175],"decision,":[177],"conditional":[180],"probability,":[181],"expected":[182],"loss":[183],"function":[184],"rule":[187],"were":[188],"studied.":[189],"To":[190],"illustrate":[191],"suitability":[193],"suggested":[196],"technique":[197],"resolve":[199],"multi-criteria":[200],"issues":[202],"an":[203],"example":[204],"provided.":[206],"Finally,":[207],"compare":[209],"our":[210],"proposed":[211],"work":[212],"existing":[214],"methods":[215],"judge":[217],"stability":[219],"applicability":[221],"work.":[224]},"counts_by_year":[{"year":2026,"cited_by_count":1}],"updated_date":"2026-03-20T23:20:44.827607","created_date":"2025-10-10T00:00:00"}