Aggregation operators and the Lipschitzian condition

Jacas Moral, Juan; Recasens Ferrés, Jorge

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Jacas Moral, Juan

Recasens Ferrés, Jorge

Document typeConference report

Defense date2007

PublisherIEEE Comp. Int. Soc.

Rights accessOpen Access

All rights reserved. This work is protected by the corresponding intellectual and industrial property rights. Without prejudice to any existing legal exemptions, reproduction, distribution, public communication or transformation of this work are prohibited without permission of the copyright holder

Abstract

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.

URIhttp://hdl.handle.net/2117/22967

ISBN1-4244-1210-2

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