A New Method for Solving Fully Fuzzy Linear Programming with LR- type Fuzzy Numbers

M. M. Shamooshaki¹, A. Hosseinzadeh¹ and S. A. Edalatpanah^2,

¹Department of Mathematics, Comprehensive Imam Hossein University, Tehran, Iran

²Department of Applied Mathematics, Tonekabon Branch, Islamic Azad University, Tonekabon, Iran

Cite this paper:
M. M. Shamooshaki, A. Hosseinzadeh and S. A. Edalatpanah. A New Method for Solving Fully Fuzzy Linear Programming with LR- type Fuzzy Numbers. International Journal of Data Envelopment Analysis and *Operations Research*. 2014; 1(3):53-55. doi: 10.12691/ijdeaor-1-3-3

Abstract

One of the most practicable subjects in recent studies is based on LR fuzzy number, which was defined and used by Dubois and Prade with some useful and easy approximation arithmetic operators on them. In this paper, a new method is proposed to find the fuzzy optimal solution of fully fuzzy Linear Programming (FFLP) problems with equality constraints. We use also LR-type fuzzy numbers and our model covers a wide class of fuzzy numbers, such as triangular fuzzy numbers. To illustrate our method, a numerical example is solved.

Keywords:
fully fuzzy linear programming LR-type fuzzy numbers ranking function lexicography

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