Linguistic q-rung orthopair fuzzy Yager prioritized weighted geometric aggregation operator of Linguistic q-rung orthopair fuzzy numbers and its application to multiattribute group decision-making

This paper introduces a novel multiattribute group decision making (MAGDM) method under the linguistic q-rung orthopair fuzzy (Lq-ROF) environment based on the proposed Lq-ROF Yager prioritized weighted arithmetic (Lq-ROFYPWA) aggregation operator (AO) of Lq-ROF numbers (Lq-ROFNs). Firstly, we propose several new operational laws for Lq-ROFNs based on Yager’s t-conorm and t-norm, namely, addition operation (AOp) law, multiplication operation (MOp) law, scalar multiplication operation (SMOp) law, and scalar power operation (SPOp) law. Then, by utilizing the proposed AOp and SMOp of Lq-ROFNs, we propose the Lq-ROFYPWA AO for aggregating the Lq-ROFNs. We additionally illustrate the several characteristics of the proposed Lq-ROFYPWA AO. However, by utilizing the proposed Lq-ROFYPWA AO, we present a novel MAGDM method under the Lq-ROF environment. Finally, we utilize the proposed MAGDM method to solve various numerical MAGDM problems and compare the preference orders (POs) obtained from the proposed MAGDM method with POs obtained from the existing MAGDM methods. The results of the comparative study show that the proposed MAGDM method can successfully solve the limitations of the existing MAGDM methods, where existing MAGDM methods cannot distinguish the POs of alternatives. The proposed MAGDM method offers a valuable method for solving the MAGDM problems in the Lq-ROF environment.