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On Zadeh’s Compositional Rule of Inference

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Fuzzy Logic

Part of the book series: Theory and Decision Library ((TDLD,volume 12))

Abstract

This paper deals with Zadeh’s compositional rule of inference [Zad73] under triangular norms: IF X is P AND X and Y have relation R, THEN Y is Q, where P and Q are fuzzy sets of the real line R, R is a fuzzy relation on R and the conclusion Q is defined via sup-T composition of P and R:

Supported by the Hungarian Research Foundation under the projects OTKA T 4281, OTKA 1/3 2152 and by the German Academic Exchange Service (DAAD).

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© 1993 Springer Science+Business Media Dordrecht

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Fullér, R., Zimmermann, HJ. (1993). On Zadeh’s Compositional Rule of Inference. In: Lowen, R., Roubens, M. (eds) Fuzzy Logic. Theory and Decision Library, vol 12. Springer, Dordrecht. https://doi.org/10.1007/978-94-011-2014-2_19

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  • DOI: https://doi.org/10.1007/978-94-011-2014-2_19

  • Publisher Name: Springer, Dordrecht

  • Print ISBN: 978-94-010-4890-3

  • Online ISBN: 978-94-011-2014-2

  • eBook Packages: Springer Book Archive

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