Abstract
In this paper, a generalization of Yager’s implications is proposed and the resulting new class of implications from f-generated implications with f(0) < + ∞ is studied. The generalization is based on considering a more general internal function than the product into their expression. In this particular case, this more general function has to be, in fact, a binary aggregation function and depending on its properties, the behaviour and additional properties of the generated implication are determined. Finally, we prove that this new class intersects some of the well-known classes, such as (S,N) and (U,N)-implications, among others.
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Massanet, S., Torrens, J. (2012). On a Generalization of Yager’s Implications. In: Greco, S., Bouchon-Meunier, B., Coletti, G., Fedrizzi, M., Matarazzo, B., Yager, R.R. (eds) Advances in Computational Intelligence. IPMU 2012. Communications in Computer and Information Science, vol 298. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-31715-6_34
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DOI: https://doi.org/10.1007/978-3-642-31715-6_34
Publisher Name: Springer, Berlin, Heidelberg
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