Optimizing the geometric programming problem with single-term exponents subject to max–min fuzzy relational equation constraints

Optimizing the geometric programming problem with single-term exponents subject to max–min fuzzy relational equation constraints

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Article ID: iaor2009665
Country: Netherlands
Volume: 47
Issue: 3/4
Start Page Number: 352
End Page Number: 362
Publication Date: Feb 2008
Journal: Mathematical and Computer Modelling
Authors:
Keywords: fuzzy sets
Abstract:

In this study we investigate the problem of minimizing an objective function with single-term exponents subject to fuzzy relational equations specified in max–min composition. Two folds are presented. First, we present some properties for this optimization problem under the assumption of both negative and nonnegative exponents in the objective function. Second, we provide an efficient procedure to solve this optimization problem without looking for all the potential minimal solutions.

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