Hierarchical Multiobjective Fuzzy Random Linear Programming Problems

In this paper, we propose an interactive decision making method for hierarchical multiobjective fuzzy random linear pro- gramming problems (HMOFRLP), in which multiple decision makers in a hierarchical organization have their own multiple objective linear functions with fuzzy random variable coefficients. To adress HMOFRLP, it is assumed that each decision maker has fuzzy goals for permissible probability levels in a fractile optimization model. Through a fuzzy decision, two types of membership functions of the original objective functions and the corresponding permissible probability levels are integrated, and a Pareto optimal solution concept is defined. A satisfactory solution is obtained from among a Pareto optimal solution set through the interaction with the decision makers, in which the hierarchical decision structure is reflected through the decision powers.