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Journal of Shanghai University >

2021 , Vol. 27 >Issue 1: 190 - 207

DOI: https://doi.org/10.12066/j.issn.1007-2861.2175

Research Articles

Multi-criteria decision-making method based on an interval-valued Pythagorean triangular fuzzy linguistic set

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  • School of Management, Shanghai University, Shanghai 200444, China

Received date: 2018-11-27

  Online published: 2021-02-28

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Abstract

To improve the accuracy of information descriptions in uncertain environments, an interval-valued Pythagorean triangular fuzzy linguistic set is proposed, and basic theories of interval-valued Pythagorean triangular fuzzy linguistic variables (IVPTrFLVs) are critically examined. In addition, an improved combinative distance-based assessment (CODAS) method for solving multi-criteria decision-making problems is developed. First, this study defines the IVPTrFLVs, operational rules, score function, accuracy function, and the formulas for calculating Hamming, Euclidean, and Taxicab distances. An IVPTrFL weighted arithmetic averaging (IVPTrFLPWAA) operator is proposed. Then, by calculating the relative importance coefficient of criteria weight, the study establishes an improved CODAS method based on IVPTrFLVs. Finally, the validity and stability of the proposed method are verified through an example.

Key words： interval-valued Pythagorean triangular fuzzy linguistic variable (IVPTrFLV); combinative distance-based assessment (CODAS); multi-criteria decision-making

Cite this article

DING Xuefeng, ZHONG Junhui . Multi-criteria decision-making method based on an interval-valued Pythagorean triangular fuzzy linguistic set[J]. Journal of Shanghai University, 2021 , 27(1) : 190 -207 . DOI: 10.12066/j.issn.1007-2861.2175

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