{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,5,2]],"date-time":"2026-05-02T07:04:58Z","timestamp":1777705498985,"version":"3.51.4"},"reference-count":30,"publisher":"SAGE Publications","issue":"3","content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["IFS"],"published-print":{"date-parts":[[2023,3,9]]},"abstract":"<jats:p>The q-rung picture linguistic set (q-RPLS) is an effective tool for managing complex and unpredictable information by changing the parameter \u2018q\u2019 regarding hesitancy degree. In this article, we devise some generalized operational laws of q-RPLS in terms of the Archimedean t-norm and t-conorm. Based on the proposed generalized operations, we define two types of generalized aggregation operators, namely the q-rung picture linguistic averaging operator and the q-rung picture linguistic geometric operator, and study their relevant characteristics in-depth. With a view toward applications, we discuss certain specific cases of the proposed generalized aggregation operators with a range of parameter values. Furthermore, we explore q-rung picture linguistic distance measure and its required axioms. Then we put forward a technique for q-RPLSs based on the proposed aggregation operators and distance measure to solve multi-attribute decision-making (MADM) challenges with unknown weight information. At last, a practical example is presented to demonstrate the suggested approaches\u2019 viability and to perform the sensitivity and comparison analysis.<\/jats:p>","DOI":"10.3233\/jifs-222292","type":"journal-article","created":{"date-parts":[[2022,12,16]],"date-time":"2022-12-16T10:09:55Z","timestamp":1671185395000},"page":"4419-4443","source":"Crossref","is-referenced-by-count":5,"title":["Generalized q-rung picture linguistic aggregation operators and their application in decision making"],"prefix":"10.1177","volume":"44","author":[{"given":"Jawad","family":"Ali","sequence":"first","affiliation":[{"name":"Department of Mathematics, Quaid-i-Azam University, Islamabad, Pakistan"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Jawad","family":"Ali","sequence":"additional","affiliation":[{"name":"Institute of Numerical Sciences, Kohat University of Science and Technology, KPK, Pakistan"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Muhammad","family":"Naeem","sequence":"additional","affiliation":[{"name":"Deanship of Joint First Year Umm Al-Qura University, Makkah, KSA, Pakistan"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Waqas","family":"Mahmood","sequence":"additional","affiliation":[{"name":"Department of Mathematics, Quaid-i-Azam University, Islamabad, Pakistan"}],"role":[{"role":"author","vocabulary":"crossref"}]}],"member":"179","reference":[{"issue":"11","key":"10.3233\/JIFS-222292_ref1","doi-asserted-by":"crossref","first-page":"2139","DOI":"10.1002\/int.22007","article-title":"Another view on q-rung orthopair fuzzy sets","volume":"33","author":"Ali","year":"2018","journal-title":"International Journal of Intelligent Systems"},{"issue":"7","key":"10.3233\/JIFS-222292_ref2","doi-asserted-by":"crossref","first-page":"2731","DOI":"10.1007\/s12652-019-01333-y","article-title":"Spherical fuzzy dombi aggregation operators and their application in group decision making problems","volume":"11","author":"Ashraf","year":"2020","journal-title":"Journal of Ambient Intelligence and Humanized Computing"},{"issue":"2","key":"10.3233\/JIFS-222292_ref3","doi-asserted-by":"crossref","first-page":"373","DOI":"10.1007\/s00574-018-0103-y","article-title":"Different approachesto multi-criteria group decision making problems for picture fuzzyenvironment","volume":"50","author":"Ashraf","year":"2019","journal-title":"Bulletin of the Brazilian Mathematical Society,New Series"},{"issue":"10","key":"10.3233\/JIFS-222292_ref4","doi-asserted-by":"crossref","first-page":"1406","DOI":"10.1016\/j.fss.2009.12.001","article-title":"On the distributivity of fuzzy implications overcontinuous and archimedean triangular conorms","volume":"161","author":"Baczy\u0144ski","year":"2010","journal-title":"Fuzzy Sets andSystems"},{"issue":"4","key":"10.3233\/JIFS-222292_ref5","first-page":"409","article-title":"Picture fuzzy sets","volume":"30","author":"Cuong","year":"2014","journal-title":"Journal of Computer Science and Cybernetics"},{"issue":"14","key":"10.3233\/JIFS-222292_ref6","doi-asserted-by":"crossref","first-page":"2906","DOI":"10.1016\/j.ins.2007.02.003","article-title":"Arithmetic operators in interval-valued fuzzy settheory","volume":"177","author":"Deschrijver","year":"2007","journal-title":"Information Sciences"},{"issue":"10","key":"10.3233\/JIFS-222292_ref7","doi-asserted-by":"crossref","first-page":"1085","DOI":"10.1002\/int.21881","article-title":"A novel method formultiattribute decision making with interval-valued pythagorean fuzzy linguistic information","volume":"32","author":"Du","year":"2017","journal-title":"International Journal ofIntelligent Systems"},{"issue":"9","key":"10.3233\/JIFS-222292_ref8","first-page":"1168","article-title":"Fuzziness and uncertainty intemporal reasoning","volume":"9","author":"Dubois","year":"2003","journal-title":"J Univers Comput Sci"},{"issue":"2","key":"10.3233\/JIFS-222292_ref9","doi-asserted-by":"crossref","first-page":"164","DOI":"10.1016\/j.trmi.2017.10.006","article-title":"Some aspects of picture fuzzy set","volume":"172","author":"Dutta","year":"2018","journal-title":"Transactions of A. 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