An interval type-2 fuzzy permutation method and experimental analysis for multiple criteria decision analysis with incomplete preference information

Abstract

The aim of this article was to develop an interval type-2 fuzzy permutation method for addressing multiple criteria decision-making problems under incomplete preference information. Furthermore, this article presents an experimental analysis to examine the implementation efficiency and the applicable scope of the proposed method. Interval type-2 fuzzy sets are more capable than ordinary fuzzy sets of handling imprecision and imperfect information in real-world applications. This article uses interval type-2 fuzzy sets to capture imprecise or uncertain decision information in fields that require multiple criteria decision analysis. Based on pairwise criterion comparisons of the alternatives using a signed distance-based approach, this article presents a concordance–discordance analysis and proposes an integrated programming model in the interval type-2 fuzzy permutation method. Finally, computational experiments with enormous amounts of simulation data are designed to examine the influences of numbers of alternatives and criteria on the implementation efficiency and the applicable scope of the proposed method.

Keywords:

• interval type-2 fuzzy permutation method
• multiple criteria decision-making
• incomplete preference information
• experimental analysis
• interval type-2 fuzzy set

Acknowledgments

The authors acknowledge the assistance of the respected editor and the anonymous referees for their insightful and constructive comments, which helped to improve the overall quality of the article. The authors are grateful for grant funding support from the Taiwan Ministry of Science and Technology (MOST 102-2410-H-182-013-MY3) and Chang Gung Memorial Hospital (BMRP 574) during the study completion.

Disclosure statement

No potential conflict of interest was reported by the authors.

Additional information

Funding

This work was supported by the Chang Gung Memorial Hospital, Linkou [grant number BMRP 574]; Taiwan Ministry of Science and Technology [grant number MOST 102–2410-H-182–013-MY3].