Fuzzy two-stage mathematical programming problems

In this paper, a new class of fuzzy programming problems, called fuzzy two-stage programming, is first presented. Then some basic properties of the two-stage model are discussed. In addition, three solution concepts, wait-and-see solution, here-and-now solution and expected value solution are defined for fuzzy programming. After that, two important indexes, the expected value of perfect information (EVPI) and the value of fuzzy solution (VFS), are introduced, and their relations are illustrated via numerical examples.