Commentary on: “A Multi-Objective Transportation Problem under Quantity Dependent Credit Period and Cost Structure Policies in Triangular Intuitionistic Fuzzy Environment”
摘要
Bera and Mondal (Eng Appl Artif Intell 123:106396, 2023) proposed an approach to transform a triangular intuitionistic fuzzy number (TIFN) into its equivalent real number. Bera and Mondal claimed that their proposed approach is better than the existing approach (Int J Intell Syst 34:3–23, 2019). To validate this claim, Bera and Mondal, firstly, transformed an intuitionistic fuzzy multi-objective transportation problem (TP) into its equivalent a crisp multi-objective TP by their proposed approach as well as by existing approach. Then, Bera and Mondal shown that the results of the crisp multi-objective TP, obtained on applying their proposed approach, are better than the results of the crisp multi-objective TP by existing approach. Keeping the same in mind, in future, other researchers may prefer to use Bera and Mondal’s approach instead of existing approach for transforming a real-life intuitionistic fuzzy mathematical model (IFMM) into its equivalent crisp mathematical model (CMM). In this note, it is pointed out that Bera and Mondal’s approach cannot be used to transform each TIFN into its equivalent real number. It can be used only to transform such a TIFN for which a specific condition will be satisfied. Hence, Bera and Mondal’s approach cannot be used to transform each IFMM into its equivalent CMM. It can be used only if for each TIFN, used in the IFMM, a specific condition will be satisfied.