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Lipschitzian and kernel aggregation operators with respect to natural T-indistinguishability operators ET and their powers are studied. A t-norm T is proved to be ET-lipschitzian, and is interpreted as a fuzzy point and a fuzzy map as well. Given an archimedean t-norm T with additive generator t, the quasi-arithmetic mean generated by t is proved to be the most stable aggregation operator with respect to T.
CitationJacas, J.; Recasens, J. E-T-lipschitzian and E-T-kernel aggregation operators. "International journal of approximate reasoning", Desembre 2007, vol. 46, núm. 3, p. 511-524.
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