Article citationsMore >>

Lotfi, F.H., Allahviranloo, T., Jondabeha, M.A., Alizadeh, L. (2009). “Solving a fully fuzzy linear programming using lexicography method and fuzzy approximate solution”, Appl.Math.Modell, Vol. 33, pp. 3151-3156.

has been cited by the following article:

Article

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

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

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


International Journal of Data Envelopment Analysis and *Operations Research*. 2014, Vol. 1 No. 3, 53-55
DOI: 10.12691/ijdeaor-1-3-3
Copyright © 2014 Science and Education Publishing

Cite this paper:
M. M. Shamooshaki, A. Hosseinzadeh, 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.

Correspondence to: S.  A. Edalatpanah, Department of Applied Mathematics, Tonekabon Branch, Islamic Azad University, Tonekabon, Iran. Email: saedalatpanah@gmail.com

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