Numerical analysis on fuzzy relation equations with various operators (Q1311829)
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scientific article; zbMATH DE number 487461
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Numerical analysis on fuzzy relation equations with various operators |
scientific article; zbMATH DE number 487461 |
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Numerical analysis on fuzzy relation equations with various operators (English)
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20 January 1994
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For given fuzzy relation matrices \(A\) and \(y\) the author investigates the properties of the approximate solutions \(x\) of the fuzzy relation equations \(x \circ A=y\) where the composite operators are max-min, Hamacher and its special case, disjunctive sum-conjunctive product. A quasi-Newton method is adopted to find the solutions. Finally, comparisons among the various operators are made.
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max-min operator
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Hamacher operator
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fuzzy relation matrices
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fuzzy relation equations
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disjunctive sum-conjunctive product
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quasi-Newton method
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0.90730417
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0.9059483
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0.90428567
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0.90296966
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0.9016973
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0.90064454
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