Generalized measures (Q810178)
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scientific article; zbMATH DE number 4212375
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Generalized measures |
scientific article; zbMATH DE number 4212375 |
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Generalized measures (English)
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1991
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The authors have considered various types of measures, prevalent in literature, with various domains and ranges: \(\sigma\)-additive measures, probability measures of fuzzy events, decomposable measures, measures of fuzzy sets and possibility measures and have built up a unified theory. Subsequently, the crisp-valued measures for fuzzy set have been discussed in detail and a representation theorem has been achieved. Finally, the authors have measured fuzzy sets by some ``fuzzy'' values rather than by ``crisp'' values and have obtained a representation theorem of fuzz- valued measures.
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\(\sigma \) -additive measures
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probability measures of fuzzy events
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decomposable measures
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fuzzy sets
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possibility measures
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crisp-valued measures
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fuzz-valued measures
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