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Fuzzy Sets and Systems
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Fuzzy Sets and Systems
Fuzzy Sets and Systems
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Fuzzy Sets and Systems
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Fuzzy Sets and Systems
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A genuine fuzzy approach to fuzzy mathematics consists in constructing axiomatic theories over suitable systems of formal fuzzy logic. The features of formal fuzzy logics (esp. the invalidity of the law of contraction) entail certain differences in form between theories axiomatized in fuzzy logic and usual theories known from classical mathematics. This paper summarizes the most important differences and presents guidelines for constructing new theories, defining new notions, and proving new theorems in formal fuzzy mathematics.