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.
Jacas, 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.
Group of research
FM&AI - Functional Mathematical Modelling and Applications