A NEW ALGORITHM FOR OPTIMIZATION OF THE FUZZY RELATION EQUATION WITH MAXALGEBRAIC SUM COMPOSITION
DOI:
https://doi.org/10.7166/22-1-33Keywords:
linear programming model, fuzzy relation equations, Algebraic SumAbstract
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
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