Interval-Valued q-Rung Orthopair Fuzzy Weighted Geometric Aggregation Operator and its Application to Multiple Criteria Decision-Making*

Abstract

Interval-valued q-rung orthopair fuzzy sets, which are a generalization of the q-rung orthopair fuzzy sets, provide decision makers an even more malleable way to express their preference information in multiple criteria decision-making problems. In this paper, the weighted geometric aggregation operator based on interval-valued q-rung orthopair fuzzy sets is investigated to handle complex preference information. First, the interval-valued q-rung orthopair fuzzy weighted geometric operator is characterized and investigated. Second, a novel decision-making method is established combing with the intervalvalued q-rung orthopair fuzzy weighted geometric operator to rank the decision-making alternatives, and the effectiveness of the decision-making method is verified by a numerical example.