Optimality for fuzzified mathematical programming problems: A parametric approach

From a conventional mathematical programming model, and in accordance with which fuzzification is used, several models of fuzzy mathematical programming problems can be obtained. This paper deals with the study of the optimality concept for (g,p)-fuzzified mathematical programming problems. An auxiliary parametric mathematical programming problem is presented which allows the above model to be solved in a straightforward way. In addition, some results about the (g,p)-fuzzified mathematical programming problem are obtained using the parametric mathematical programming problem.