A comment on “The quadratic programming problem with fuzzy relation inequality constraints”

• Point out some deficiencies and errors found in the paper which are proposed by Molai.
• Analysis of the cause of the error.
• Define a new definition of FRI path of max-product fuzzy relation inequality.
• Propose some new results.

This note provides counterexamples to illustrate that Definition 1 and Theorem 2 which are proposed by Molai (2012) are incorrect. We first point out some deficiencies and errors found in the above referenced paper. The incorrect of Theorem 2 is due to the inaccuracy of Definition 1. Then we present a counterexample to illustrate the incorrect of FRI path. At last, we propose a new definition of FRI path of max-product fuzzy relation inequality. Some examples are presented to illustrate that the new definition of FRI path is correct.