A Formulation of Fuzzy Random Simple Recource Programming Problems

Abstract

In this paper, we formulate a simple recource programming problem for fuzzy random programming problems, in which equality constraints with fuzzy random variables areinvolved. In the proposed method, equality constraints with fuzzy random variables are defined through a possiblity measure. For a given permissible level of a possibility measure, the corresponding simple recource programming problem is formulated, which is called a fuzzy random simple recource programming problem. It is shown that a fuzzy random simple recource programming problem can be interpreted as a generalization of a simple recource programming problem.