Aggregation Operators and the Lipschitzian Condition

descriptionPublicationkeyboard_double_arrow_right Article , Conference object 01 Jun 2007 Spain Publisher:IEEEJournal:2007 IEEE International Fuzzy Systems Conference (issn: 1098-7584,

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Authors: Jacas Moral, Juan; Recasens Ferrés, Jorge;

doi: 10.1109/fuzzy.2007.4295514

handle: 2117/22967

Aggregation Operators and the Lipschitzian Condition

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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.

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Spain

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Keywords

Fuzzy logic, Àrees temàtiques de la UPC::Matemàtiques i estadística::Lògica matemàtica, Lògica difusa, :Matemàtiques i estadística::Lògica matemàtica [Àrees temàtiques de la UPC]

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