Comment on “An algorithm for solving optimization problems with fuzzy relational inequality constraints”

A counterexample is provided to illustrate the incorrectness of I0 in Rule 1 presented by Guo et al. [F.F. Guo, L.P. Pang, D. Meng, Z.Q. Xia. An algorithm for solving optimization problems with fuzzy relational inequality constraints, Information Sciences 252 (2013) 20-31]. In other words, (7b) and (7b*) in the referenced paper above are not equivalent unless index set I0 is revised, since the definition of I0 in Rule 1 can only be correct when the constraints are fuzzy relational equations. And finally the correct of I0 is also presented in this note.