Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
398723 | International Journal of Approximate Reasoning | 2007 | 14 Pages |
Abstract
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.
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