Hamacher Aggregation Operators Based on Interval-Valued q-Rung Orthopair Fuzzy Sets and Their Applications to Decision Making Problems

Abstract

As a generalization of Intuitionistic Fuzzy Sets (IFSs), q-Rung Orthopair Fuzzy Sets (q-ROFSs) provide a larger space for decision makers and can express their uncertain information with more flexibly. This article deals with the Multiple Attribute Group Decision Making (MAGDM) problem based on Interval Valued q-Rung Orthopair Fuzzy Sets. First, we introduce some new operational rules of Interval Valued q-Rung Orthopair Fuzzy Sets (IVq-ROFs), then based on these operations, some Interval Valued q-Rung Orthopair Fuzzy Hamacher Aggregation Operators (IVq-ROFHAO) such as Interval Valued q-Rung Orthopair Fuzzy Sets Hamacher Weighted Arithmetic Mean \( ( {\text{IVq}} - HWAM_{{H_{\gamma } }} ) \) are developed for IVq-ROFSs. Finally, an illustrative numerical example is presented to test the effectiveness of the proposed methods in MAGDM problems.