Abstract
It has been shown that the lattice \(\cal{E}\) of indistinguishability operators, the lattice \(\cal{H}\) of sets of extensional sets and the lattices \(\cal{U}\) and \(\cal{L}\) of upper and lower approximations respectively are isomorphic. This paper will study the relation between \(\cal{E}\), \(\cal{H}\), \(\cal{U}\) and \(\cal{L}\) under the effect of the natural mean aggregation, i.e. the quasi arithmetic mean, associated to the t-norm.
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Mattioli, G., Recasens, J. (2012). Natural Means of Indistinguishability Operators. 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_27
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DOI: https://doi.org/10.1007/978-3-642-31718-7_27
Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-642-31717-0
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