A hybrid decision-making model under q-rung orthopair fuzzy Yager aggregation operators

Abstract

Aggregation operators perform a significant role in many decision-making problems. The purpose of this paper is to analyze the aggregation operators under the q-rung orthopair fuzzy environment with Yager norm operations. The q-rung orthopair fuzzy set is an extension of intuitionistic fuzzy set and Pythagorean fuzzy set in which sum of qth power of membership and non-membership degrees is bounded by 1. By applying the Yager norm operations to q-rung orthopair fuzzy set, we developed six families of aggregation operators, namely q-rung orthopair fuzzy Yager weighted arithmetic operator, q-rung orthopair fuzzy Yager ordered weighted arithmetic operator, q-rung orthopair fuzzy Yager hybrid weighted arithmetic operator, q-rung orthopair fuzzy Yager weighted geometric operator, q-rung orthopair fuzzy Yager ordered weighted geometric operator and q-rung orthopair fuzzy Yager hybrid weighted geometric operator. To prove the validity and feasibility of proposed work, we discuss two multi-attribute decision-making problems. Moreover, we investigate the influence of some values of parameter on decision-making results. Finally, we give a comparison with existing operators.