Journal of Shanghai University(Natural Science Edition) ›› 2021, Vol. 27 ›› Issue (1): 190-207.doi: 10.12066/j.issn.1007-2861.2175

• Research Articles • Previous Articles     Next Articles

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

DING Xuefeng(), ZHONG Junhui   

  1. School of Management, Shanghai University, Shanghai 200444, China
  • Received:2018-11-27 Online:2021-02-28 Published:2021-02-28
  • Contact: DING Xuefeng E-mail:tju@sina.com

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

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