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

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Title: A NEW ALGORITHM FOR OPTIMIZATION OF THE FUZZY RELATION EQUATION WITH MAXALGEBRAIC SUM COMPOSITION.
Authors: Zharfi, V.1 v.zharfi@tmu.ac.ir, Mirzazadeh, A.1 a.mirzazadeh@aut.ac.ir
Source: South African Journal of Industrial Engineering. May2011, Vol. 22 Issue 1, p55-66. 12p.
Subjects: Industrial efficiency, Fuzzy relational calculus, Mathematical optimization, Equations, Algorithms
Abstract (English): 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. [ABSTRACT FROM AUTHOR]
Abstract (Afrikaans): 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. [ABSTRACT FROM AUTHOR]
Copyright of South African Journal of Industrial Engineering is the property of South African Journal of Industrial Engineering (University of Pretoria) and its content may not be copied or emailed to multiple sites without the copyright holder's express written permission. Additionally, content may not be used with any artificial intelligence tools or machine learning technologies. However, users may print, download, or email articles for individual use. This abstract may be abridged. No warranty is given about the accuracy of the copy. Users should refer to the original published version of the material for the full abstract. (Copyright applies to all Abstracts.)
Database: Engineering Source
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  Data: A NEW ALGORITHM FOR OPTIMIZATION OF THE FUZZY RELATION EQUATION WITH MAXALGEBRAIC SUM COMPOSITION.
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  Data: <searchLink fieldCode="AR" term="%22Zharfi%2C+V%2E%22">Zharfi, V.</searchLink><relatesTo>1</relatesTo><i> v.zharfi@tmu.ac.ir</i><br /><searchLink fieldCode="AR" term="%22Mirzazadeh%2C+A%2E%22">Mirzazadeh, A.</searchLink><relatesTo>1</relatesTo><i> a.mirzazadeh@aut.ac.ir</i>
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  Data: <searchLink fieldCode="JN" term="%22South+African+Journal+of+Industrial+Engineering%22">South African Journal of Industrial Engineering</searchLink>. May2011, Vol. 22 Issue 1, p55-66. 12p.
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  Data: <searchLink fieldCode="DE" term="%22Industrial+efficiency%22">Industrial efficiency</searchLink><br /><searchLink fieldCode="DE" term="%22Fuzzy+relational+calculus%22">Fuzzy relational calculus</searchLink><br /><searchLink fieldCode="DE" term="%22Mathematical+optimization%22">Mathematical optimization</searchLink><br /><searchLink fieldCode="DE" term="%22Equations%22">Equations</searchLink><br /><searchLink fieldCode="DE" term="%22Algorithms%22">Algorithms</searchLink>
– Name: Abstract
  Label: Abstract (English)
  Group: Ab
  Data: 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. [ABSTRACT FROM AUTHOR]
– Name: Abstract
  Label: Abstract (Afrikaans)
  Group: Ab
  Data: 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. [ABSTRACT FROM AUTHOR]
– Name: AbstractSuppliedCopyright
  Label:
  Group: Ab
  Data: <i>Copyright of South African Journal of Industrial Engineering is the property of South African Journal of Industrial Engineering (University of Pretoria) and its content may not be copied or emailed to multiple sites without the copyright holder's express written permission. Additionally, content may not be used with any artificial intelligence tools or machine learning technologies. However, users may print, download, or email articles for individual use. This abstract may be abridged. No warranty is given about the accuracy of the copy. Users should refer to the original published version of the material for the full abstract.</i> (Copyright applies to all Abstracts.)
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        Value: 10.7166/22-1-33
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        Text: English
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        PageCount: 12
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      – SubjectFull: Industrial efficiency
        Type: general
      – SubjectFull: Fuzzy relational calculus
        Type: general
      – SubjectFull: Mathematical optimization
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      – SubjectFull: Equations
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      – SubjectFull: Algorithms
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      – TitleFull: A NEW ALGORITHM FOR OPTIMIZATION OF THE FUZZY RELATION EQUATION WITH MAXALGEBRAIC SUM COMPOSITION.
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              Text: May2011
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