On fuzzy metrizability (Q1072135)
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scientific article; zbMATH DE number 3942442
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | On fuzzy metrizability |
scientific article; zbMATH DE number 3942442 |
Statements
On fuzzy metrizability (English)
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1985
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Let X be a set and \(<L,\bigvee,\bigwedge,'>\), a completely distributive lattice with order reversing involution. If (X,U) is a uniform space then \(\Delta_ U\) is the identity iff the topology induced by U is \(T_ 0\). If \(L\neq \{0,1\}\) then the fuzzy interval I(L) is not \(T_ 0\); hence it is not fuzzy metrizable.
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fuzzy unit interval
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fuzzy pseudo-metrizable \(T_ 0\)-space
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