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Interval Type-2 Fuzzy Programming Method for Risky Multicriteria Decision-Making with Heterogeneous Relationship

Tang, Guolin, Long, Jianpeng, Gu, Xiaowei, Chiclana, Francisco, Liu, Peide, Wang, Fubin (2022) Interval Type-2 Fuzzy Programming Method for Risky Multicriteria Decision-Making with Heterogeneous Relationship. Information Sciences, 584 . pp. 184-211. ISSN 0020-0255. (doi:10.1016/j.ins.2021.10.044) (Access to this publication is currently restricted. You may be able to access a copy if URLs are provided) (KAR id:90984)

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https://doi.org/10.1016/j.ins.2021.10.044

Abstract

We propose a new interval type-2 fuzzy (IT2F) programming method for risky multicriteria decision-making (MCDM) problems with IT2F truth degrees, where the criteria exhibit a heterogeneous relationship and decision-makers behave according to bounded rationality. First, we develop a technique to calculate the Banzhaf-based overall perceived utility values of alternatives based on 2-additive fuzzy measures and regret theory. Subsequently, considering pairwise comparisons of alternatives with IT2F truth degrees, we define the Banzhaf-based IT2F risky consistency index (BIT2FRCI) and the Banzhaf-based IT2F risky inconsistency index (BIT2FRII). Next, to identify the optimal weights, an IT2F programming model is established based on the concept that BIT2FRII must be minimized and must not exceed the BIT2FRCI using a fixed IT2F set. Furthermore, we design an effective algorithm using an external archive-based constrained state transition algorithm to solve the established model. Accordingly, the ranking order of alternatives is derived using the Banzhaf-based overall perceived utility values. Experimental studies pertaining to investment selection problems demonstrate the state-of-the-art performance of the proposed method, that is, its strong capability in addressing risky MCDM problems.

Item Type: Article
DOI/Identification number: 10.1016/j.ins.2021.10.044
Uncontrolled keywords: risky multicriteria decision making, heterogeneous relationship, evolutionary computation, interval type-2 fuzzy set, 2-additive fuzzy measure, regret theory
Subjects: Q Science > QA Mathematics (inc Computing science) > QA 75 Electronic computers. Computer science
Divisions: Divisions > Division of Computing, Engineering and Mathematical Sciences > School of Computing
Depositing User: Xiaowei Gu
Date Deposited: 20 Oct 2021 09:17 UTC
Last Modified: 08 Feb 2022 16:18 UTC
Resource URI: https://kar.kent.ac.uk/id/eprint/90984 (The current URI for this page, for reference purposes)
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