This paper deals with fuzzy goal programming approach to quadratic bi-level multi-objective programming problem involving a single decision maker with multiple objectives at the upper level and a single decision maker with multiple objectives at the lower level. The objective functions of each level decision maker are quadratic in nature and the system constraints are linear functions. In the m...

Branch-and-bound methods (also called implicit enumeration methods when the branching is done on binary variables) have proved to perform well on many combinatorial optimization problems, provided good bounding functions are known. Quite surprisingly, as emphasized in [3], they have not been studied widely in a multi-objective setting, i.e. when each solution s in the set S of feasible solution...

This paper presents priority based fuzzy goal programming approach to multi-objective quadratic programming problem. In the proposed approach, we construct the quadratic membership functions by determining the individual best solution of the objective functions subject to the system constraints. The quadratic membership functions are then transformed into equivalent linear membership functions ...