Fuzzy Approach for Three Level Linear Programming Problems

A goal programming approach for fuzzy flexible linear programming problems

 We are concerned with solving Fuzzy Flexible Linear Programming (FFLP) problems. Even though, this model is very practical and is useful for many applications, but there are only a few methods for its situation. In most approaches proposed in the literature, the solution process needs at least, two phases where each phase needs to solve a linear programming problem. Here, we propose a method t...

Quadratic bi-level programming problems: a fuzzy goal programming approach

This paper presents a fuzzy goal programming (FGP) methodology for solving bi-level quadratic programming (BLQP) problems. In the FGP model formulation, firstly the objectives are transformed into fuzzy goals (membership functions) by means of assigning an aspiration level to each of them, and suitable membership function is defined for each objectives, and also the membership functions for vec...

Solving Fuzzy Linear Programming Problems Using Two-Level Programming Approach

H. A. Khalifa Department of Operations Research, Institute of Statistical Studies and Research, Cairo University, Cairo, Egypt. Abstract Linear programming (LP) has been widely applied to solving real world problems. The conventional LP model requires the parameters to be known constants. In the real world, however, the parameters are seldom known exactly and have to be estimated. This paper de...

An iterative method for tri-level quadratic fractional programming problems using fuzzy goal programming approach

Tri-level optimization problems are optimization problems with three nested hierarchical structures, where in most cases conflicting objectives are set at each level of hierarchy. Such problems are common in management, engineering designs and in decision making situations in general, and are known to be strongly NP-hard. Existing solution methods lack universality in solving these types of pro...

Fuzzy Primal Simplex Algorithms for Solving Fuzzy Linear Programming Problems