Abstract
Uninorms are known to have a kind of partial compensatory behaviour, which makes them useful for decision theory and related fields. Residuated uninorms play a prominent role in the theory of substructural logics and, in particular, in mathematical fuzzy logic. We shall present here some construction methods that result in residuated uninorms along with some recent classification theorems which show the limitation of the constructions. Among them is a very recent Mostert-Shields style classification theorem on SIU-algebras.
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Jenei, S. (2012). Construction Methods for Uninorms via Rotation, Rotation-Annihilation, and Twin Rotation. 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 299. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-31718-7_26
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DOI: https://doi.org/10.1007/978-3-642-31718-7_26
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