Fuzzy multi-objective decision-making models and approaches

Multi-objective linear programming (MOLP) techniques are widely used to model many organizational decision problems. Referring to the imprecision inherent in human judgments, uncertainty may be incorporated in some parameters of an established MOLP model that is also called a fuzzy MOLP (FMOLP) problem. This chapter first reviews the development of fuzzy multi-objective decision-making (FMODM) models and approaches and then proposes an effective way for an optimal solution in the FMOLP problem. By introducing an adjustable satisfactory degree α, a new concept of FMOLP and a solution transformation theorem are given in this chapter. This chapter thus develops an interactive fuzzy goal multi-objective decision-making method, which provides an interactive fashion with decision makers during their solution process and allows decision makers to give their fuzzy goals in any form of membership function. An illustrative example shows the details of the proposed method.