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The Correct Expressions of Reverse Triple I Methods for Fuzzy Reasoning

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Fuzzy Information and Engineering Volume 2

Part of the book series: Advances in Intelligent and Soft Computing ((AINSC,volume 62))

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Abstract

Correct expressions of the reverse and α-reverse triple I methods for fuzzy reasoning are established in new manners. Aiming at the existing different formulas of the reverse and α-reverse triple I methods based on Łukasiewicz implication I L , we discuss their relations and correct some of them. Further, the α-reverse triple I method is extended to a new form, called α(u,v)-reverse triple I method, which can contain the reverse triple I method as its particular case. This is another improved point to the existing formulas.

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Liu, Hw. (2009). The Correct Expressions of Reverse Triple I Methods for Fuzzy Reasoning. In: Cao, B., Li, TF., Zhang, CY. (eds) Fuzzy Information and Engineering Volume 2. Advances in Intelligent and Soft Computing, vol 62. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-03664-4_158

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  • DOI: https://doi.org/10.1007/978-3-642-03664-4_158

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-642-03663-7

  • Online ISBN: 978-3-642-03664-4

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