Abstract
In this paper, we treat goal programming problems with interactive fuzzy coefficients. To treat the interactivity between fuzzy numbers, we introduce an oblique fuzzy vector. Goal programming problems with oblique fuzzy vectors are formulated based on the fractile optimization model using a necessity measure in possibilistic linear programming. It is shown that the problem is reduced to linear programming problems with a special structure. Utlizing the special structure, we propose an algorithm based on Benders decomposition method.
