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Logic as Managment of Constraints on the Truth Values

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Fuzzy Logic

Part of the book series: Trends in Logic ((TREN,volume 11))

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Abstract

Let U be any complete lattice. Then, as observed in Chapter 4, in fuzzy logic it would be misleading to consider an initial valuation v: F→ U as a fuzzy subset of F As a matter of fact, for any formula α, the number v(α) is not the truth value of α but a constraint on its actual truth value, namely a constraint like

“the truth value of a is greater than or equal to v(α)”.

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© 2001 Springer Science+Business Media Dordrecht

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Gerla, G. (2001). Logic as Managment of Constraints on the Truth Values. In: Fuzzy Logic. Trends in Logic, vol 11. Springer, Dordrecht. https://doi.org/10.1007/978-94-015-9660-2_5

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  • DOI: https://doi.org/10.1007/978-94-015-9660-2_5

  • Publisher Name: Springer, Dordrecht

  • Print ISBN: 978-90-481-5694-8

  • Online ISBN: 978-94-015-9660-2

  • eBook Packages: Springer Book Archive

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