Cutting-plane Algorithm For Solving Linear Semi-infinite Programming In Fuzzy Case

Relaxed Cutting Plane Method for Solving Linear Semi-Infinite Programming Problems

One of the major computational tasks of using the traditional cutting plane approach to solve linear semi-infinite programming problems lies in finding a global optimizer of a nonlinear and nonconvex program. This paper generalizes the Gustafson and Kortanek scheme to relax this requirement. In each iteration, the proposed method chooses a point at which the infinite constraints are violated to...

A new solving approach for fuzzy multi-objective programming problem in uncertainty conditions by ‎using semi-infinite linear programing

In practice, there are many problems which decision parameters are fuzzy numbers, and some kind of this problems are formulated as either possibilitic programming or multi-objective programming methods. In this paper, we consider a multi-objective programming problem with fuzzy data in constraints and introduce a new approach for solving these problems base on a combination of the multi-objecti...

Relaxed Cutting Plane Method for Solving Linear Semi-innnite Programming Problems

One of the major computational tasks of using the traditional cutting plane approach to solve linear semi-in nite programming problems lies in nding a global optimizer of a non-linear and non-convex program. This paper generalizes Gustafson and Kortanek's scheme to relax this requirement. In each iteration, the proposed method chooses a point at which the in nite constraints are violated to a d...

Solving fully fuzzy linear programming

In this paper, a new method is proposed to find the fuzzy optimal solution of fully fuzzy linear programming (abbreviated to FFLP) problems. Also, we employ linear programming (LP) with equality constraints to find a nonegative fuzzy number vector x which satisfies Ax =b, where A is a fuzzy number matrix. Then we investigate the existence of a positive solution of fully fuzzy linear system (FFLS).

Fuzzy Primal Simplex Algorithms for Solving Fuzzy Linear Programming Problems