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Trapezoidal Interval Type-2 Fuzzy TOPSIS Using Alpha-Cuts

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Abstract

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.

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Acknowledgements

This work is supported by the National Natural Science Foundation of China (NSFC) (71771051, 71871072) and the Guangxi High School Innovation Team and outstanding scholars plan.

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Authors and Affiliations

  1. School of Economics and Management, Southeast University, Nanjing, 210096, Jiangsu, China

    Yu-Yao Yang & Xin-Wang Liu

  2. School of Mathematics and Information Science, Guangxi University, Nanning, 530004, Guangxi, China

    Fang Liu

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  1. Yu-Yao Yang
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  2. Xin-Wang Liu
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  3. Fang Liu
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Correspondence to Xin-Wang Liu.

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Yang, YY., Liu, XW. & Liu, F. Trapezoidal Interval Type-2 Fuzzy TOPSIS Using Alpha-Cuts. Int. J. Fuzzy Syst. 22, 293–309 (2020). https://doi.org/10.1007/s40815-019-00777-w

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