Lipschitzian and kernel aggregation operators with respect to the natural T-indistinguishability operator ET and their powers are studied. A t-norm T is proved to be ETLipschitzian, 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. Aggregation operators and the Lipschitzian condition. A: 2007 IEEE Conference on Fuzzy Systems. "2007 IEEE Conference on Fuzzy Systems". London: IEEE Comp. Int. Soc., 2007, p. 1060-1065.
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