Abstract

ZHARFI, V.  and  MIRZAZADEH, A.. A new algorithm for optimization of the fuzzy relation equation with max-algebraic sum composition. S. Afr. J. Ind. Eng. [online]. 2011, vol.22, n.1, pp.55-66. ISSN 2224-7890.

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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