FUZZY BOOLEAN PROGRAMMING-PROBLEMS WITH FUZZY COSTS - A GENERAL STUDY

This paper deals with boolean linear programming problems involving co efficients in the objective function as fuzzy numbers. In the study of these problems different approaches can be proposed to use ranking fu zzy numbers methods and fuzzy preference relations obtaining auxiliary classical boolean programming problems, and to use the representation theorem obtaining a convex set with extreme points defined by the low er or upper bound of the alpha-level sets of the fuzzy coefficients, a nd consequently an auxiliary interval boolean programming problem. In this paper we develop and link the different approaches.