Affiliations: [a] Department of Mathematics, Quaid-i-Azam University, Islamabad, Pakistan
| [b] Institute of Numerical Sciences, Kohat University of Science and Technology, KPK, Pakistan
| [c] Deanship of Joint First Year Umm Al-Qura University, Makkah, KSA, Pakistan
Correspondence:
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Corresponding author. Jawad Ali, Institute of Numerical Sciences, Kohat University of Science and Technology, KPK, Pakistan. E-mail: jawadali@math.qau.edu.pk.
Abstract: The q-rung picture linguistic set (q-RPLS) is an effective tool for managing complex and unpredictable information by changing the parameter ‘q’ 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’ viability and to perform the sensitivity and comparison analysis.
