OPTIMIZING A LINEAR FRACTIONAL PROGRAMMING PROBLEM WITH MAX-PRODUCT FUZZY RELATIONAL EQUATION CONSTRAINTS

This study investigates a new framework that a linear fractional programming problem is subject to fuzzy relational equations with max-product composition. Three folds are presented. First, some theoretical results are developed to optimize such a linear fractional programming problem based on the p...

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Vydáno v:	Journal of the Chinese Institute of Industrial Engineers Ročník 25; číslo 4; s. 314 - 325
Hlavní autor:	Wu, Yan-Kuen
Médium:	Journal Article
Jazyk:	angličtina
Vydáno:	Taylor & Francis Group 01.01.2008
Témata:	fuzzy relational equations linear fractional programming problem max-product composition
ISSN:	1017-0669, 2151-7606
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Popis
Shrnutí:	This study investigates a new framework that a linear fractional programming problem is subject to fuzzy relational equations with max-product composition. Three folds are presented. First, some theoretical results are developed to optimize such a linear fractional programming problem based on the properties of max-product composition. Second, the results are adopted to reduce the feasible domain. The problem can thus be simplified and converted into a traditional linear fractional programming problem. Third, a procedure is presented to solve this optimization problem without looking for all potential minimal solutions. Numerical examples are provided to illustrate the procedure.
ISSN:	1017-0669 2151-7606
DOI:	10.1080/10170660809509095