Hamacher and Heronian Aggregating operators under interval valued q-rung Orthopair Fuzzy and its Application

TL;DR

This paper introduces new fusion operators combining Hamacher and Heronian methods under interval-valued q-rung orthopair fuzzy sets, and applies them to group decision-making, demonstrating their effectiveness through analysis.

Contribution

It proposes novel IVq-ROFHHMWA and IVq-ROFHHMGA operators integrating Hamacher and Heronian operators under interval-valued q-rung orthopair fuzzy sets, and develops a group decision-making method based on these operators.

Findings

Operators are effective and feasible for decision-making.

Proposed methods outperform existing approaches in comparative analysis.

Operators maintain desirable properties like monotonicity and correlation.

Abstract

In this paper, combined with the degradation and monotonicity of parameters of Hamacher operation and the advantages of the correlation between input parameters of Heronian operators, IVq-ROFHHMWA and IVq-ROFHHMGA operators, which are the fusion of Hamacher and Heronian, are proposed, and their properties are studied. Finally, a group decision-making method based on IVq-ROFHHMWA operator is proposed. The implementation and comparative analysis results show that the operator and group decision-making methods proposed in this paper are effective and feasible.