Reducing t-norms and augmenting t-conorms

Marcin Detyniecki (1) , Ronald R. Yager , Bernadette Bouchon-Meunier (1)

1 APA - Apprentissage et Acquisition des connaissances

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.

Domaines: Informatique [cs]

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