An Improved Interval-Valued Hesitant Fuzzy Weighted Geometric Operator for Multi-Criterion Decision-Making

In this paper, an improved interval-valued hesitant fuzzy weighted geometric (IIVHFWG) operator for multi-criterion decision-making is proposed. This operator is free of the limitations of the existing interval-valued hesitant fuzzy weighted average operator, interval-valued hesitant fuzzy weighted geometric operator, generalized interval-valued hesitant fuzzy weighted geometric operator, interval-valued hesitant fuzzy Hammer weighted average operator, and interval-valued hesitant fuzzy Hammer weighted geometric operator, which are prone to being influenced by extreme values. Based on the proposed IIVHFWG operator, a new method to solve the multi-criterion decisionmaking problems with interval-valued hesitant fuzzy elements is presented. Several numerical examples together with comparisons are introduced to demonstrate the effectiveness and advantages of this method.

Automated summary

In this paper, an improved interval-valued hesitant fuzzy weighted geometric (IIVHFWG) operator is proposed for multi-criterion decision-making. This operator overcomes the limitations of existing operators, which are prone to being influenced by extreme values. A new method to solve multi-criterion decision-making problems with interval-valued hesitant fuzzy elements is presented based on the proposed IIVHFWG operator. Numerical examples and comparisons demonstrate the effectiveness and advantages of this method.