The duality principle in fuzzy set theory (Q1175738)
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scientific article; zbMATH DE number 14438
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | The duality principle in fuzzy set theory |
scientific article; zbMATH DE number 14438 |
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The duality principle in fuzzy set theory (English)
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25 June 1992
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Extending nonfuzzy structures to fuzzy sets, the author uses a duality principle based on the notion of an inverse image under a fuzzy correspondence. This principle is used to introduce indistinguishability relations via the identity relation, to characterize similarity relations and the well-known extension principle of L. A. Zadeh. Fuzzy operations on different types of fuzzy numbers are also considered in terms of this duality principle.
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fuzzy relations
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transitivity
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duality principle
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inverse image under a fuzzy correspondence
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indistinguishability relations
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similarity relations
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extension principle
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Fuzzy operations
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fuzzy numbers
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