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

V. Zharfi, A. Mirzazadeh

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.

AFRIKAANSE OPSOMMING: Hierdie artikel bestudeer n optimiseringsprobleem met n linee doelwitfunksie en wasige randvoorwaardes met n algebrase somsamestelling. Aanvanklik word sommige eienskappe van die minimale oplossings van die wasige vergelykings en die algebrase samestelling getoon. Daarna word n nuwe algoritme vir die oplossing van die optimiseringsprobleem afgelei. Numeriese voorbeelde word voorsien om die teoretiese resultate te ondersteun.


Keywords


linear programming model; fuzzy relation equations; Algebraic Sum

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

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