Bi-Objective Bilevel Programming Problem: A Fuzzy Approach

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 multi objective linear Bilevel multi follower programming problem

Fuzzy Goal Programming Approach to Quadratic Bi-Level Multi-Objective Programming Problem

This paper deals with fuzzy goal programming approach to quadratic bi-level multi-objective programming problem involving a single decision maker with multiple objectives at the upper level and a single decision maker with multiple objectives at the lower level. The objective functions of each level decision maker are quadratic in nature and the system constraints are linear functions. In the m...

Bi-level Multi-objective Programming Problem with Fuzzy Parameters

This paper deals with fuzzy goal programming approach to bilevel multi-objective programming problem with fuzzy parameters. In the proposed approach, the tolerance membership functions for the fuzzily described objective functions are defined by determining individual optimal solution of the objective functions of each of the decision makers. Since the objectives are potentially conflicting in ...

Simulated Annealing Approach for Solving Bilevel Programming Problem

Bilevel programming, a tool for modeling decentralized decision problems, consists of the objective of the leader at its first level and that of the follower at the second level. Bilevel programming has been proved to be an Np-hard problem. Numerous algorithms have been developed for solving bilevel programming problems. These algorithms lack the required efficiency for solving a real problem. ...