Thresholding in a generalized model for translation invariant systems (Q1267543)
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scientific article; zbMATH DE number 1208358
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Thresholding in a generalized model for translation invariant systems |
scientific article; zbMATH DE number 1208358 |
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Thresholding in a generalized model for translation invariant systems (English)
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21 June 1999
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The author considers the space of all maps \((\Phi)\) from an Abelian group \(G\) to \(\Omega\cup \{-\infty\}\) (called LG-fuzzy sets) where \(\Omega\) is a complete lattice ordered group. The positive translation invariant (TI) operators are studied in conjunction with the threshold of LG fuzzy sets (defined as sets \(\{g\in G\mid A(g)\geq t\}\)). The main result of the paper expresses conditions under which a positive and isotone TI operator commutes with thresholding.
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L-fuzzy sets
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positive translation invariant operators
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complete lattice ordered group
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threshold
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0.8469189
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0.8323785
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0.8291549
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0.82399106
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