RETRACTED: Generalized orthopair linguistic Muirhead mean operators and their application in multi-criteria decision making

Abstract

This paper proposed a concept based on q-rung orthopair fuzzy sets (q-ROFSs) and linguistic term sets called q-rung orthopair linguistc sets (q-ROLSs). This study also investigates a novel multi-criteria decision-making (MCDM) approach in which the arguments take the form of q-ROLSs, we extend Muir head mean (MM) aggregation operators under q-rung orthopair linguistic environment. Firstly, certain operational laws of q-ROLSs are investigated. Secondly, the q-rung orthopair linguistic Muirhead mean, the q-rung orthopair linguistic weighted Muirhead mean and the q-rung orthopair linguistic weighted geometric Muirhead mean operators are presented. Special cases of the q-rung orthopair linguistic Muirhead mean operators and their properties are analysed. With these foundations as basis, an approach is developed to be applied to MCDM problems based on the proposed operators. Finally, a practical example is developed to illustrate this method and comparative analysis demonstrate the superiorities of the aggregation operators.