Multiattribute decision making based on q-rung orthopair fuzzy Yager prioritized weighted arithmetic aggregation operator of q-rung orthopair fuzzy numbers

Abstract

This paper proposes a new approach for multiattribute decision making (MADM) using the proposed q-rung orthopair fuzzy Yager prioritized weighted arithmetic (q-ROFYPWA) aggregation operator (AO) of q-rung orthopair fuzzy numbers (q-ROFNs). Firstly, we propose the q-ROFYPWA AO of q-ROFNs based on Yager’s t-conorm and t-norm and the concept of prioritized average AO. The proposed q-ROFYPWA AO consider the prioritized relationship among aggregating q-ROFNs. Moreover, we present several properties of the proposed q-ROFYPWA AO. Then, we propose a new MADM approach based on the proposed q-ROFYPWA AO of q-ROFNs. The propsoed MADM approach considers the prioritization among the attributes to overcome the drawbacks of the existing MADM approaches, where they cannot distinguish the ranking orders of the alternatives in some situations. The proposed MADM approach is very useful for MADM in the environment of q-ROFNs.