Multiobjective Programming under Uncertainty : Scope and Goals of the Book

Abstract

In recent years we have been able to observe that a classical mathematical programming model is insufficient in many real-world situations, particularly in long-term planning problems and programming of development strategies. The nature of these problems requires taking into account multiple objectives on the one hand, and various kinds of uncertainty, on the other hand. During the past decade, the development of multiobjective mathematical programming has been particularly fruitful. At the same time many authors dealt with modelling of various kinds of uncertainty in decision problems. Two different ways of handling uncertainty were at the origin of stochastic mathematical programming and fuzzy mathematical programming. Recently, these two kinds of generalization have been combined in the framework of multiobjective stochastic mathematical programming and multiobjective fuzzy mathematical programming.