Further contributions to the study of finite fuzzy relation equations (Q1102959)
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scientific article; zbMATH DE number 4051620
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Further contributions to the study of finite fuzzy relation equations |
scientific article; zbMATH DE number 4051620 |
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Further contributions to the study of finite fuzzy relation equations (English)
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1988
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Following \textit{K. H. Kim} and \textit{F. W. Roush} [Fuzzy Sets Syst. 4, 293- 315 (1980; Zbl 0451.20055)], with \(I=[0,1]\) some vector algebra for vectors from I n with scalars from I is developed. These results are used to give a sufficient condition for the existence of a minimal solution X for fuzzy relation equations \(X\circ R=B\), and to determine such a minimal solution if this condition holds true.
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fuzzy matrices
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minimal solution
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fuzzy relation equations
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