Fuzzy Goal Programming Procedure to Bilevel Multiobjective Linear Fractional Programming Problems

Fuzzy Goal Programming Procedure to Bilevel Multiobjective Linear Fractional Programming Problems

This paper presents a fuzzy goal programming FGP procedure for solving bilevel multiobjective linear fractional programming BL-MOLFP problems. It makes an extension work of Moitra and Pal 2002 and Pal et al. 2003 . In the proposed procedure, the membership functions for the defined fuzzy goals of the decision makers DMs objective functions at both levels as well as the membership functions for ...

A goal programming approach for multiobjective linear bilevel programming problems

ABSTRACT: Feasible solutions of Bilevel programming (BLP) problem have to satisfy the optimality conditions of a lower level optimization problem which is defined as part of its constraints. Multiobjective BLP (MOBLP) problems are the special case of BLP problems with multiple objectives at the upper level which require every feasible solution to satisfy the Pareto optimality conditions of a lo...

Fuzzy Goal Programming Procedure to Bilevel Multi-objective Quadratic Fractional Programming Problems

FUZZY GOAL PROGRAMMING TECHNIQUE TO SOLVE MULTIOBJECTIVE TRANSPORTATION PROBLEMS WITH SOME NON-LINEAR MEMBERSHIP FUNCTIONS

The linear multiobjective transportation problem is a special type of vector minimum problem in which constraints are all equality type and the objectives are conicting in nature. This paper presents an application of fuzzy goal programming to the linear multiobjective transportation problem. In this paper, we use a special type of nonlinear (hyperbolic and exponential) membership functions to ...

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...