On types of fuzzy numbers and extension principles (Q1920331)
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scientific article; zbMATH DE number 919451
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | On types of fuzzy numbers and extension principles |
scientific article; zbMATH DE number 919451 |
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On types of fuzzy numbers and extension principles (English)
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17 June 1997
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A real function \(f\) often is fuzzified into a fuzzy function \(F\) in such a way that the arguments of \(F\) become fuzzy numbers and its values are determined from \(f\) via the extension principle \(EP\). In general, \(EP\) depends on a \(t\)-norm \(T\). Restricting furthermore the input fuzzy numbers to symmetric \(LR\)-fuzzy numbers with \(L=R\), the fuzzification of \(f\) depends of the pair \((L,T)\). The author discusses the problem whether different such fuzzifications may yield the same fuzzy function \(F\).
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fuzzy functions
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\(t\)-norm
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extension principle
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fuzzy numbers
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