A Note on “A Lexicographic Method for Matrix Games with Payoffs of Triangular Intuitionistic Fuzzy Numbers”

Abstract

Nan et al. [J.-X. Nan, D.-F. Li and M.-J. Zhang, A lexicographic method for matrix games with payoffs of triangular intuitionistic fuzzy numbers, International Journal of Computational Intelligence Systems 3(3) (2010) 280-289] pointed out that there is no method in the literature to find the solution of such matrix games in which payoffs are represented by triangular intuitionistic fuzzy numbers and proposed a method for the same. In this paper, it is pointed out that Nan et al. have used some mathematical incorrect assumptions in their proposed method and the existing method is also modified.

Keywords

• Triangular intuitionistic fuzzy number
• Intuitionistic fuzzy set
• Matrix game
• Mathematical programming
• Lexicographic method