Dual Theory for Matrix Linear Bilevel Programming

BILEVEL LINEAR PROGRAMMING WITH FUZZY PARAMETERS

Bilevel linear programming  is a decision making problem with a two-level decentralized organization. The textquotedblleft leadertextquotedblright~ is in the upper level and the textquotedblleft followertextquotedblright, in the lower. Making a decision at one level affects that at the other one. In this paper, bilevel linear programming  with inexact parameters has been studied and a method is...

Theory for the Matrix Linear Programming Problem

Multiple objective linear programming, also known as the linear vector maximization problem, has been studied by a number of authors. In particular, its duality theory has been considered by Philip [9], Isermann [7], Gray and Sutherland [5], Brumelle [1], and Ponstein [10]. Neither the symmetry nor all the relationships of the duality theory of conventional linear programming, however, have bee...

bilevel linear programming with fuzzy parameters

bilevel linear programming  is a decision making problem with a two-level decentralized organization. the textquotedblleft leadertextquotedblright~ is in the upper level and the textquotedblleft followertextquotedblright, in the lower. making a decision at one level affects that at the other one. in this paper, bilevel linear programming  with inexact parameters has been studied and a method is...

Solving multi objective linear Bilevel multi follower programming problem

A new method for solving fully fuzzy linear Bilevel programming problems

In this paper, a new method is proposed to find the fuzzy optimal solution of fully fuzzy linear Bilevel programming (FFLBLP) problems by representing all the parameters as triangular fuzzy numbers. In the proposed method, the given FFLBLP problem is decomposed into three crisp linear programming (CLP) problems with bounded variables constraints, the three CLP problems are solved separately...