Block Angular Fuzzy Mathematical Programming Problem

In this paper, fuzzy programming problems with block angular structure are investigated. To solve these problems, fuzzy constraints are simplified by using possibility and necessity relations and the concept of possibly and necessarily (α,β)-optimal solutions are introduced. The main fuzzy problem is efficiently decomposed and is solved by a branch-and-price algorithm. In the nodes of the branch-and-price tree, the linear relaxation of the problem is solved by applying a column generation method. The algorithm is illustrated on some numerical examples. Also, the relationship between possibly and necessarily feasible and optimal solution sets are investigated.

کلیدواژه ها:

Fuzzy Mathematical Programming ، Fuzzy Quantity ، Block Angular Structure ، Possibility and Necessity Relation