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A Multi-Objective q-Rung Orthopair Fuzzy Programming Approach to Heterogeneous Group Decision Making

Tang, Guolin, Gu, Xiaowei, Chiclana, Francisco, Liu, Peide, Yin, Kedong (2023) A Multi-Objective q-Rung Orthopair Fuzzy Programming Approach to Heterogeneous Group Decision Making. Information Sciences, . ISSN 0020-0255. (doi:10.1016/j.ins.2023.119343) (KAR id:101845)

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Official URL:
https://doi.org/10.1016/j.ins.2023.119343

Abstract

In allusion to heterogeneous multi-criteria group decision making (MCGDM) problems with incomplete weights and q-rung orthopair fuzzy (q-ROF) truth degrees, where many kinds of criteria values, i.e., crisp values, intervals, trapezoidal fuzzy values, hesitant fuzzy values and q-ROF values (q-ROFVs), and multiple types of interactions exist, i.e., positive synergetic interactions, negative synergetic interactions and independence, a novel multi-objective q-ROF programming approach is proposed. In particular, in order to globally capture the interactions among criteria, Choquet-based relative closeness degrees are developed based on the technique for order performance by similarity to ideal solution (TOPSIS) and the Choquet integral. Then, the q-ROF Choquet-based group consistency index (q-ROFCGCI) and the q-ROF Choquet-based group inconsistency index (q-ROFCGII) are defined. Next, to derive optimal 2-additive fuzzy measures on the criteria set and optimal experts' weights, a new multi-objective q-ROF mathematical programming model is established by minimizing the q-ROFCGII and maximizing the q-ROFCGCI. Subsequently, an algorithm based on the adaptive non-dominated sorting genetic algorithm III (A-NSGA-III) is designed to solve the established model. Afterwards, the Choquet-based overall relative closeness degrees of the alternatives is used to obtain their preferred ordering. Finally, the effectiveness and advantage of the proposed approach is verified using four real cases concerning the evaluation of social commerce.

Item Type: Article
DOI/Identification number: 10.1016/j.ins.2023.119343
Uncontrolled keywords: Heterogeneous information, Evolutionary computation, 2-additive fuzzy measure, q-Rung orthopair fuzzy values, Multi-criteria group decision making
Subjects: Q Science > QA Mathematics (inc Computing science)
Divisions: Divisions > Division of Computing, Engineering and Mathematical Sciences > School of Computing
Funders: University of Kent (https://ror.org/00xkeyj56)
Depositing User: Xiaowei Gu
Date Deposited: 27 Jun 2023 08:28 UTC
Last Modified: 23 Jun 2024 23:00 UTC
Resource URI: https://kar.kent.ac.uk/id/eprint/101845 (The current URI for this page, for reference purposes)

University of Kent Author Information

Gu, Xiaowei.

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