Categorical studies of fuzzy sets (Q1121879)
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scientific article; zbMATH DE number 4104945
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Categorical studies of fuzzy sets |
scientific article; zbMATH DE number 4104945 |
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Categorical studies of fuzzy sets (English)
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1988
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This paper reviews some of the categories proposed as models for fuzzy sets that have been proposed by Ponasse and his students. Reviewer's comment: It is very irritating, to say the least, to see references to unpublished and unrefereed internal notes on the same footing as authentically published papers. Moreover, at least one assertion is incorrect: the reviewer's Fuz(H) - a logos - is not isomorphic to Goguen's Set(V). A widely circulated manuscript (dated 1981) has shown how to modify the definition of equality in Fuz(H) to obtain a topos that is isomorphic to Higgs' Set(H).
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categories of fuzzy sets
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valued equality
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fuzzy ordering
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fixed point
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totally fuzzy sets
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