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) (KAR id:90984)
PDF
Author's Accepted Manuscript
Language: English |
|
Download this file (PDF/482kB) |
Preview |
Request a format suitable for use with assistive technology e.g. a screenreader | |
Official URL: 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: | 03 Nov 2022 00:00 UTC |
Resource URI: | https://kar.kent.ac.uk/id/eprint/90984 (The current URI for this page, for reference purposes) |
- Link to SensusAccess
- Export to:
- RefWorks
- EPrints3 XML
- BibTeX
- CSV
- Depositors only (login required):