Special Classes of Fuzzy Integer Programming Models with All-Different Constraints

In this paper, a fuzzy approach is applied to special classes of integer programming problems with all different constraints. in the first model, a fuzzy integer programming model is developed to represent the all-different constraints in mathematical programming. in order to solve the proposed model, a new branching scheme for the b&b algorithm is also presented. in the second model, a special class of large-scale multi-objective fuzzy integer programming problems with all-different constraints is introduced. a solution method for the proposed model is also developed by using the decomposition technique, weighting method and b&b algorithm. an illustrative numerical example is also given to clarify the theory and the method discussed in this paper.