Fully fuzzy linear programming with inequality constraints

Subject Areas : International Journal of Industrial Mathematics

SH. Nasseri ¹ , E. Behmanesh ² , F. Taleshian ³ , M. Abdolalipoor ⁴ , N. A. TaghiNezhad ⁵

1 - Department of Mathematics, University of Mazandaran, Babolsar ,Iran.
2 - Department of Mathematics, University of Mazandaran, Babolsar ,Iran.
3 - Department of Mathematics, University of Mazandaran, Babolsar ,Iran.
4 - Department of Mathematics, University of Tabriz, Tabriz , Iran.
5 - Department of Mathematics, University of Mazandaran, Babolsar ,Iran.

Received: 2013-11-04 Accepted : 2013-11-04 Published : 2013-12-01

Keywords: Fuzzy numbers, Linear Programming, Fuzzy linear programming, membership function, Ranking function,

Abstract :

Fuzzy linear programming problem occur in many elds such as mathematical modeling, Control theory and Management sciences, etc. In this paper we focus on a kind of Linear Programming with fuzzy numbers and variables namely Fully Fuzzy Linear Programming (FFLP) problem, in which the constraints are in inequality forms. Then a new method is proposed to ne the fuzzy solution for solving (FFLP). Numerical examples are providing to illustrate the method.