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Title:
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Aggregation operators and the Lipschitzian condition
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Author:
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Jacas Moral, Juan; Recasens Ferrés, Jorge
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Other authors:
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Universitat Politècnica de Catalunya. Departament d'Estructures a l'Arquitectura; Universitat Politècnica de Catalunya. FIA - Modelització Matemàtica Funcional i Aplicacions |
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Abstract:
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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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Abstract:
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Peer Reviewed |
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Subject(s):
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-Àrees temàtiques de la UPC::Matemàtiques i estadística::Lògica matemàtica
-Fuzzy logic
-Lògica difusa |
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Rights:
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Document type:
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Article - Published version
Conference Object |
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Published by:
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IEEE Comp. Int. Soc.
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