Trapezoidal Interval Type-2 Fuzzy TOPSIS Using Alpha-Cuts

• Published in: International journal of fuzzy systems Vol. 22; no. 1; pp. 293 - 309
• Main Authors: Yang, Yu-Yao, Liu, Xin-Wang, Liu, Fang
• Format: Journal Article
• Language: English
• Published: Berlin/Heidelberg Springer Berlin Heidelberg 01.02.2020; Springer Nature B.V
• Subjects: Artificial Intelligence; Attitudes; Computational Intelligence; Decision making; Engineering; Fuzzy sets; Knowledge management; Management Science; Mathematical analysis; Methods; Multiple criteria decision making; Multiple criterion; Operations Research; Preferences; Trapezoidal interval type-2 fuzzy sets (IT2 FSs); Fuzzy multi-criteria decision-making; Ordered weighted averaging (OWA) operator; TOPSIS; Alpha-cut
• ISSN: 1562-2479; 2199-3211
• DOI: 10.1007/s40815-019-00777-w

Fuzzy multi-criteria decision-making (FMCDM) provides solutions to the problems involving multiple criteria for decision-makers under uncertain environments. The Technique for Order Preference by Similarity to Ideal Solution (TOPSIS) is one of the most popular methods to address FMCDM problems. In this paper, we propose an extension of the TOPSIS method with trapezoidal interval type-2 fuzzy sets (IT2 FSs) using the concept of α -cut. We first propose a new method to calculate the distance between two trapezoidal IT2 FSs with the tool of α -cut and ordered weighted averaging (OWA) operator. Next, based on the distance method, we extend the TOPSIS method to the context of trapezoidal IT2 FSs and utilize it to solve FMCDM problems. Finally, an illustrative example is used to demonstrate the feasibility of the proposed method, and some comparisons with other existing works are presented to show the highlights of the proposed method. The proposed method provides a flexible solution for the FMCDM problems by taking the decision-makers’ attitudes into consideration.