Reducing t-norms and augmenting t-conorms

Abstract : We study here the behavior of the t-norms at the point (1/2, 1/2). We indicate why this point can be considered as significant in the specification of t-norms. Then, we suggest that the image of this point can be used to classify the t-norms. We consider some usual examples. We also study the case of parameterized t-norms. Finally using the results of this study, we propose a uniform method of computing the parameters. This method allows not only having the same parameter-scale for all the families, but also giving an intuitional sense to the parameters.
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https://hal.archives-ouvertes.fr/hal-01184463
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Submitted on : Friday, August 14, 2015 - 3:30:28 PM
Last modification on : Friday, May 24, 2019 - 5:24:38 PM

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  • HAL Id : hal-01184463, version 1

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Marcin Detyniecki, Ronald R. Yager, Bernadette Bouchon-Meunier. Reducing t-norms and augmenting t-conorms. Mathware & soft computing, RACO, 2000, 7 (1), pp.77-87. ⟨hal-01184463⟩

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