A note on the characterization of the max and min operators (Q1078564)
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scientific article; zbMATH DE number 3961610
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | A note on the characterization of the max and min operators |
scientific article; zbMATH DE number 3961610 |
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A note on the characterization of the max and min operators (English)
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1983
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\textit{R. Bellmann} and \textit{M. Giertz} [Inf. Sci. 5, 149-156 (1973; Zbl 0251.02059)] characterized, in the context of fuzzy set theory, the max and min operators of the unit interval by means of six axioms. The authors show that this characterization, justified by simple set theoretic properties, can be made using only three suitable axioms. Some examples prove the independence of the conditions given.
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union
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intersection
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fuzzy set
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max and min operators of the unit interval
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