A NEW ALGORITHM FOR OPTIMIZATION OF THE FUZZY RELATION EQUATION WITH MAXALGEBRAIC SUM COMPOSITION
<p>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 rela...
| Main Authors: | , |
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| Format: | Article |
| Language: | English |
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Stellenbosch University
2012-01-01
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| Series: | South African Journal of Industrial Engineering |
| Subjects: | |
| Online Access: | http://sajie.journals.ac.za/pub/article/view/33 |
| Summary: | <p>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.</p><p>AFRIKAANSE OPSOMMING: Hierdie artikel bestudeer ‘n optimiseringsprobleem met ‘n lineêre doelwitfunksie en wasige randvoorwaardes met ‘n algebraïese somsamestelling. Aanvanklik word sommige eienskappe van die minimale oplossings van die wasige vergelykings en die algebraïese samestelling getoon. Daarna word ‘n nuwe algoritme vir die oplossing van die optimiseringsprobleem afgelei. Numeriese voorbeelde word voorsien om die teoretiese resultate te ondersteun.</p> |
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| ISSN: | 1012-277X 2224-7890 |