Short Note on “Nonlinear Optimization Problem Subjected to Fuzzy Relational Equations Defined by Dubois-Prade Family of t-Norms”

Abstract

This short note aims to make some modification for improving the results presented in [1]. A. Ghodousian et al. discussed the resolution of a system of max-Dubois-Prade fuzzy relation equations based on their proposed index sets Ji, i ∈ I. It is found that not every e ∈ E = J1 × J2 × ⋯ × Jm corresponds to a solution. To overcome this flaw, we modify the expression of the index sets, denoted by J=i , i ∈ I. Based on the modified index sets, resolution of the max-Dubois-Prade fuzzy relation equations becomes easier, regarding the computational cost.