Group decision making with q-rung orthopair hesitant fuzzy preference relations

TL;DR

This paper develops a novel group decision-making model using q-rung orthopair hesitant fuzzy preference relations, incorporating consistency and consensus measures to improve decision accuracy and validity.

Contribution

It introduces new definitions, optimization models, and aggregation operators for q-ROHFPRs, enhancing group decision-making processes with consistency and consensus management.

Findings

The model effectively verifies decision validity and accuracy.

The proposed approach manages consistency and consensus in GDM.

Case study confirms the model's applicability and effectiveness.

Abstract

This paper mainly studies group decision making (GDM) problem based on q-rung orthopair hesitant fuzzy preference relations (q-ROHFPRs). First, the definitions of q-ROHFPR and additive consistent q-ROHFPR are introduced. The consistency index of q-ROHFPR is used to judge whether the matrix of q-ROHFPR is acceptable. For the q-ROHFPR matrix that does not meet the acceptable consistency, two optimization models are established for deriving the acceptably additive consistent q-ROHFPRs. In order to make the q-ROHFPR matrix of decision makers still satisfy the consistency after aggregation, this paper extends the q-rung orthopair hesitant fuzzy weighted geometric average operator (q-ROHFWGA). At the same time, in order to verify whether decision makers can reach consensus after aggregation, a consensus index based on distance is offered. Based on this consensus index, an optimization model that satisfies consistency and consensus is constructed to solve the priority vector, and develop a consistency and consensus-based approach for dealing with group decision-making (GDM) with q-ROHFPRs. Finally, the case in this paper verifies the validity and accuracy of the group decision-making model, and also verifies that the q-ROHFPR consistency and consensus management model proposed in this paper can solve the q-rung orthopair hesitant fuzzy preference group decision-making problem.