{"id":"https://openalex.org/W4406849025","doi":"https://doi.org/10.1080/00207721.2025.2456002","title":"Construction and analysis of Aczel-Alsina t-norm based ( <i>p,q</i> )-rung linear diophantine fuzzy aggregation operators with multi-criteria decision making","display_name":"Construction and analysis of Aczel-Alsina t-norm based ( <i>p,q</i> )-rung linear diophantine fuzzy aggregation operators with multi-criteria decision making","publication_year":2025,"publication_date":"2025-01-26","ids":{"openalex":"https://openalex.org/W4406849025","doi":"https://doi.org/10.1080/00207721.2025.2456002"},"language":"en","primary_location":{"id":"doi:10.1080/00207721.2025.2456002","is_oa":false,"landing_page_url":"https://doi.org/10.1080/00207721.2025.2456002","pdf_url":null,"source":{"id":"https://openalex.org/S129640837","display_name":"International Journal of Systems Science","issn_l":"0020-7721","issn":["0020-7721","1464-5319"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320547","host_organization_name":"Taylor & Francis","host_organization_lineage":["https://openalex.org/P4310320547"],"host_organization_lineage_names":["Taylor & Francis"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"International Journal of Systems Science","raw_type":"journal-article"},"type":"article","indexed_in":["crossref"],"open_access":{"is_oa":false,"oa_status":"closed","oa_url":null,"any_repository_has_fulltext":false},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5023804984","display_name":"Rizwan Gul","orcid":"https://orcid.org/0000-0002-6139-1872"},"institutions":[{"id":"https://openalex.org/I12469534","display_name":"Quaid-i-Azam University","ror":"https://ror.org/04s9hft57","country_code":"PK","type":"education","lineage":["https://openalex.org/I12469534"]}],"countries":["PK"],"is_corresponding":true,"raw_author_name":"Rizwan Gul","raw_affiliation_strings":["Quaid-i-Azam University","Department of Mathematics, Quaid-i-Azam University, Islamabad, Pakistan"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Quaid-i-Azam University","institution_ids":["https://openalex.org/I12469534"]},{"raw_affiliation_string":"Department of Mathematics, Quaid-i-Azam University, Islamabad, Pakistan","institution_ids":["https://openalex.org/I12469534"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5058840135","display_name":"Saba Ayub","orcid":"https://orcid.org/0000-0002-6963-3127"},"institutions":[{"id":"https://openalex.org/I12469534","display_name":"Quaid-i-Azam University","ror":"https://ror.org/04s9hft57","country_code":"PK","type":"education","lineage":["https://openalex.org/I12469534"]}],"countries":["PK"],"is_corresponding":false,"raw_author_name":"Saba Ayub","raw_affiliation_strings":["Quaid-i-Azam University","Department of Mathematics, Quaid-i-Azam University, Islamabad, Pakistan"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Quaid-i-Azam University","institution_ids":["https://openalex.org/I12469534"]},{"raw_affiliation_string":"Department of Mathematics, Quaid-i-Azam University, Islamabad, Pakistan","institution_ids":["https://openalex.org/I12469534"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5112713774","display_name":"Muhammad Shabir","orcid":null},"institutions":[{"id":"https://openalex.org/I12469534","display_name":"Quaid-i-Azam University","ror":"https://ror.org/04s9hft57","country_code":"PK","type":"education","lineage":["https://openalex.org/I12469534"]}],"countries":["PK"],"is_corresponding":false,"raw_author_name":"Muhammad Shabir","raw_affiliation_strings":["Quaid-i-Azam University","Department of Mathematics, Quaid-i-Azam University, Islamabad, Pakistan"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Quaid-i-Azam University","institution_ids":["https://openalex.org/I12469534"]},{"raw_affiliation_string":"Department of Mathematics, Quaid-i-Azam University, Islamabad, Pakistan","institution_ids":["https://openalex.org/I12469534"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5094078204","display_name":"Sanaa A. Bajri","orcid":"https://orcid.org/0009-0008-4187-5205"},"institutions":[{"id":"https://openalex.org/I106778892","display_name":"Princess Nourah bint Abdulrahman University","ror":"https://ror.org/05b0cyh02","country_code":"SA","type":"education","lineage":["https://openalex.org/I106778892"]}],"countries":["SA"],"is_corresponding":false,"raw_author_name":"Sanaa Ahmed Bajri","raw_affiliation_strings":["Princess Nourah bint Abdulrahman University","Department of Mathematical Sciences, College of Science, Princess Nourah bint Abdulrahman University, Riyadh, Saudi Arabia"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Princess Nourah bint Abdulrahman University","institution_ids":["https://openalex.org/I106778892"]},{"raw_affiliation_string":"Department of Mathematical Sciences, College of Science, Princess Nourah bint Abdulrahman University, Riyadh, Saudi Arabia","institution_ids":["https://openalex.org/I106778892"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5103023240","display_name":"Hamiden Abd El-Wahed Khalifa","orcid":null},"institutions":[{"id":"https://openalex.org/I156216236","display_name":"Qassim University","ror":"https://ror.org/01wsfe280","country_code":"SA","type":"education","lineage":["https://openalex.org/I156216236"]}],"countries":["SA"],"is_corresponding":false,"raw_author_name":"Hamiden Abd El-Wahed Khalifa","raw_affiliation_strings":["Qassim University","Department of Mathematics, College of Science, Qassim University, Buraydah, Saudi Arabia"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Qassim University","institution_ids":["https://openalex.org/I156216236"]},{"raw_affiliation_string":"Department of Mathematics, College of Science, Qassim University, Buraydah, Saudi Arabia","institution_ids":["https://openalex.org/I156216236"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":5,"corresponding_author_ids":["https://openalex.org/A5023804984"],"corresponding_institution_ids":["https://openalex.org/I12469534"],"apc_list":null,"apc_paid":null,"fwci":0.0,"has_fulltext":false,"cited_by_count":0,"citation_normalized_percentile":{"value":0.0125746,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":null,"biblio":{"volume":"56","issue":"11","first_page":"2751","last_page":"2778"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10050","display_name":"Multi-Criteria Decision Making","score":0.9993000030517578,"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":0.9993000030517578,"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/T11063","display_name":"Rough Sets and Fuzzy Logic","score":0.98580002784729,"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"}},{"id":"https://openalex.org/T10820","display_name":"Fuzzy Logic and Control Systems","score":0.9725000262260437,"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/diophantine-equation","display_name":"Diophantine equation","score":0.7139466404914856},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.6341469287872314},{"id":"https://openalex.org/keywords/fuzzy-logic","display_name":"Fuzzy logic","score":0.5999418497085571},{"id":"https://openalex.org/keywords/norm","display_name":"Norm (philosophy)","score":0.44351476430892944},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.4029451608657837},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.23557469248771667},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.11914363503456116}],"concepts":[{"id":"https://openalex.org/C206530611","wikidata":"https://www.wikidata.org/wiki/Q905896","display_name":"Diophantine equation","level":2,"score":0.7139466404914856},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.6341469287872314},{"id":"https://openalex.org/C58166","wikidata":"https://www.wikidata.org/wiki/Q224821","display_name":"Fuzzy logic","level":2,"score":0.5999418497085571},{"id":"https://openalex.org/C191795146","wikidata":"https://www.wikidata.org/wiki/Q3878446","display_name":"Norm (philosophy)","level":2,"score":0.44351476430892944},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.4029451608657837},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.23557469248771667},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.11914363503456116},{"id":"https://openalex.org/C199539241","wikidata":"https://www.wikidata.org/wiki/Q7748","display_name":"Law","level":1,"score":0.0},{"id":"https://openalex.org/C17744445","wikidata":"https://www.wikidata.org/wiki/Q36442","display_name":"Political science","level":0,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1080/00207721.2025.2456002","is_oa":false,"landing_page_url":"https://doi.org/10.1080/00207721.2025.2456002","pdf_url":null,"source":{"id":"https://openalex.org/S129640837","display_name":"International Journal of Systems Science","issn_l":"0020-7721","issn":["0020-7721","1464-5319"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320547","host_organization_name":"Taylor & Francis","host_organization_lineage":["https://openalex.org/P4310320547"],"host_organization_lineage_names":["Taylor & Francis"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"International Journal of Systems Science","raw_type":"journal-article"}],"best_oa_location":null,"sustainable_development_goals":[{"id":"https://metadata.un.org/sdg/16","display_name":"Peace, Justice and strong institutions","score":0.7699999809265137}],"awards":[{"id":"https://openalex.org/G4591085532","display_name":null,"funder_award_id":"PNURSP2025R527","funder_id":"https://openalex.org/F4320322484","funder_display_name":"Princess Nourah Bint Abdulrahman University"}],"funders":[{"id":"https://openalex.org/F4320322484","display_name":"Princess Nourah Bint Abdulrahman University","ror":"https://ror.org/05b0cyh02"}],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":70,"referenced_works":["https://openalex.org/W1571795992","https://openalex.org/W1971875039","https://openalex.org/W1980564456","https://openalex.org/W1981107087","https://openalex.org/W2038050603","https://openalex.org/W2040920346","https://openalex.org/W2068692334","https://openalex.org/W2079457935","https://openalex.org/W2092580384","https://openalex.org/W2292359941","https://openalex.org/W2514754342","https://openalex.org/W2574155231","https://openalex.org/W2611273622","https://openalex.org/W2746747652","https://openalex.org/W2803228996","https://openalex.org/W2900128988","https://openalex.org/W2973775716","https://openalex.org/W3020996816","https://openalex.org/W3033205673","https://openalex.org/W3036760384","https://openalex.org/W3037338019","https://openalex.org/W3044339214","https://openalex.org/W3111003120","https://openalex.org/W3125697874","https://openalex.org/W3136750270","https://openalex.org/W3139668460","https://openalex.org/W3164521590","https://openalex.org/W3186767173","https://openalex.org/W3195844804","https://openalex.org/W3196961387","https://openalex.org/W4200480965","https://openalex.org/W4205155564","https://openalex.org/W4210444499","https://openalex.org/W4211007335","https://openalex.org/W4212915524","https://openalex.org/W4220989065","https://openalex.org/W4224985680","https://openalex.org/W4225926519","https://openalex.org/W4226102122","https://openalex.org/W4233400640","https://openalex.org/W4238161399","https://openalex.org/W4243797669","https://openalex.org/W4249962476","https://openalex.org/W4250073683","https://openalex.org/W4250685322","https://openalex.org/W4253375075","https://openalex.org/W4253644152","https://openalex.org/W4281485753","https://openalex.org/W4290694432","https://openalex.org/W4293415515","https://openalex.org/W4296079518","https://openalex.org/W4309923020","https://openalex.org/W4310382979","https://openalex.org/W4320923827","https://openalex.org/W4381597955","https://openalex.org/W4381659515","https://openalex.org/W4383559456","https://openalex.org/W4385073839","https://openalex.org/W4385657637","https://openalex.org/W4386532245","https://openalex.org/W4387139869","https://openalex.org/W4387330512","https://openalex.org/W4387589394","https://openalex.org/W4389451464","https://openalex.org/W4391116568","https://openalex.org/W4392356776","https://openalex.org/W4401503313","https://openalex.org/W4401642297","https://openalex.org/W4403156606","https://openalex.org/W6675687400"],"related_works":["https://openalex.org/W4391375266","https://openalex.org/W2323172212","https://openalex.org/W1799780713","https://openalex.org/W4323907493","https://openalex.org/W2378613393","https://openalex.org/W4297688629","https://openalex.org/W1550725800","https://openalex.org/W4385711919","https://openalex.org/W2370478068","https://openalex.org/W4384345859"],"abstract_inverted_index":{"Aggregation":[0],"operators":[1,33,109],"(AOs)":[2],"are":[3],"employed":[4],"in":[5,28,35,74,76,162],"various":[6,155],"fuzzy":[7,45,56,96,104],"environments":[8],"to":[9,63,82,135,150,158,187],"accommodate":[10],"uncertain":[11,69],"information.":[12],"Aczel-Alsina":[13,21,97,105],"(AA)":[14],"t-norm":[15,37],"and":[16,26,38,71,110,116,166,178,191],"t-conorm":[17,39],"inherently":[18],"flexible":[19],"endows":[20],"AOs":[22],"with":[23,118],"greater":[24],"adaptability":[25],"robustness":[27,192],"the":[29,51,55,92,124,142,169,181,189,194,198],"aggregation":[30],"process":[31],"than":[32],"rooted":[34],"other":[36],"families.":[40],"Further,":[41],"(p,q)-rung":[42,93,101],"linear":[43,94,102],"Diophantine":[44,95,103],"set":[46,57],"((p,q)-RLDFS)":[47],"is":[48,133,148,184],"one":[49],"of":[50,54,164,171,193],"advanced":[52],"versions":[53],"(FS),":[58],"which":[59],"has":[60,72],"been":[61],"revealed":[62],"be":[64],"very":[65],"successful":[66],"at":[67],"combating":[68],"information":[70],"grown":[73],"prominence":[75],"decision":[77,129],"analysis.":[78],"The":[79,145],"article":[80],"aims":[81],"establish":[83],"AA":[84],"operations":[85],"laws":[86],"for":[87],"(p,q)-RLDFSs.":[88],"Furthermore,":[89],"we":[90],"expose":[91],"weighted":[98,106],"average":[99],"((p,q)-RLDFAAWA),":[100],"geometric":[107],"((p,q)-RLDFAAWG)":[108],"systematically":[111],"analyze":[112],"their":[113],"unique":[114],"features":[115],"results":[117,195],"concrete":[119],"examples.":[120],"Additionally,":[121],"based":[122],"on":[123,180],"devised":[125],"AOs,":[126],"a":[127,151],"multi-criteria":[128],"making":[130],"(MCDM)":[131],"approach":[132],"designed":[134],"choose":[136],"optimal":[137],"agricultural":[138],"technological":[139],"systems":[140],"under":[141],"(p,q)-RLDFS":[143],"framework.":[144],"proposed":[146],"model":[147],"subjected":[149],"comprehensive":[152],"comparison":[153],"against":[154],"existing":[156],"studies":[157],"demonstrate":[159],"its":[160],"superiority":[161],"terms":[163],"reliability":[165],"accuracy.":[167],"Moreover,":[168],"influence":[170],"key":[172],"parameters,":[173],"designated":[174],"as":[175],"\u039b,":[176],"p,":[177],"q,":[179],"ranking":[182],"outcomes":[183],"thoroughly":[185],"examined":[186],"assess":[188],"applicability":[190],"derived":[196],"from":[197],"developed":[199],"method.":[200]},"counts_by_year":[],"updated_date":"2026-06-15T08:34:33.830935","created_date":"2025-10-10T00:00:00"}