A NEW ALGORITHM FOR OPTIMIZATION OF THE FUZZY RELATION EQUATION WITH MAXALGEBRAIC SUM COMPOSITION

Authors

  • V. Zharfi Department of Industrial Engineering, University of Tarbiat Moallem (Kharazmi)
  • A. Mirzazadeh Department of Industrial Engineering, University of Tarbiat Moallem (Kharazmi)

DOI:

https://doi.org/10.7166/22-1-33

Keywords:

linear programming model, fuzzy relation equations, Algebraic Sum

Abstract

ENGLISH ABSTRACT: This paper considers an optimization problem with a linear objective function under the constraints expressed by a system of fuzzy relation equations using max-as (Algebraic Sum) composition. First, some properties of minimal solutions of the system with fuzzy relation equations and max-as composition are shown. Then, a new algorithm for solving the optimization problem is derived. The numerical examples have been provided to illustrate the theoretical results.

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Published

2011-11-05

How to Cite

Zharfi, V., & Mirzazadeh, A. (2011). A NEW ALGORITHM FOR OPTIMIZATION OF THE FUZZY RELATION EQUATION WITH MAXALGEBRAIC SUM COMPOSITION. The South African Journal of Industrial Engineering, 22(1). https://doi.org/10.7166/22-1-33

Issue

Vol. 22 No. 1 (2011)

Section

General Articles

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