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Extended lattice-ordered structures for \(L\)-fuzzy sets and \(L\)-fuzzy numbers - MaRDI portal

Extended lattice-ordered structures for \(L\)-fuzzy sets and \(L\)-fuzzy numbers (Q1311878)

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scientific article; zbMATH DE number 487504
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English
Extended lattice-ordered structures for \(L\)-fuzzy sets and \(L\)-fuzzy numbers
scientific article; zbMATH DE number 487504

    Statements

    Extended lattice-ordered structures for \(L\)-fuzzy sets and \(L\)-fuzzy numbers (English)
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    1993
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    An \(L\)-fuzzy set \(A\) is a mapping of a set \(X\) into another set \(L\). In this the operations on \(L^ X\), which are extended from operations on \(X\) by the extension principle, are considered. The author obtains a similar complete lattice-ordered monoid constituted by extended operations.
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    \(L\)-fuzzy numbers
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    \(L\)-fuzzy set
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    extension principle
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    lattice-ordered monoid
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    extended operations
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