Verification methods for conic 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...

Linear Conic Programming

A little story in the development of semidefinite programming. One day in 1990, I visited the Computer Science Department of the University of Min-nesota and met a young graduate student, Farid Alizadeh. He, working then on combinatorial optimization, introduced me " semidefinite optimization " or linear programming over the positive definite matrix cone. We had a very extensive discussion that...

Duality of linear conic problems

It is well known that the optimal values of a linear programming problem and its dual are equal to each other if at least one of these problems is feasible. It is also well known that for linear conic problems this property of “no duality gap” may not hold. It is then natural to ask whether there exist some other convex closed cones, apart from polyhedral, for which the “no duality gap” propert...

Defuzzification Method for Solving ‎Fuzzy ‎Linear Programming Problems

Several authors have proposed different methods to find the solution of fully fuzzy linear programming (FFLP) problems. But all the existing methods are based on the assumption that all the fuzzy coefficients and the fuzzy variables are non-negative fuzzy numbers. in this paper a new method is proposed to solve an FFLP problems with arbitrary fuzzy coefficients and arbitrary fuzzy variables, th...

A Verification Method for Solutions of Linear Programming Problems