2006•International Journal of Uncertainty Fuzziness and Knowledge-Based SystemsRequires access

EXTREMAL k-LIPSCHITZ t-CONORMS

Andrea Mesiarová‐Zemánková

Open publisher page 10 citations

Abstract

Class of k-Lipschitz t-conorms is shown to have no strongest element for k > 1. Pointwise supremum of the class of k-Lipschitz t-conorms is introduced and the best approximation of this supremum by k-Lipschitz t-conorm is constructed.

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What this paper is about

Class of k-Lipschitz t-conorms is shown to have no strongest element for k > 1. Pointwise supremum of the class of k-Lipschitz t-conorms is introduced and the best approximation of this supremum by k-Lipschitz t-conorm is constructed.

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Available abstract

Class of k-Lipschitz t-conorms is shown to have no strongest element for k > 1. Pointwise supremum of the class of k-Lipschitz t-conorms is introduced and the best approximation of this supremum by k-Lipschitz t-conorm is constructed.

Key concepts: Lipschitz continuity, Infimum and supremum, Pointwise, Mathematics, Class (philosophy), Element (criminal law), Pure mathematics, Discrete mathematics

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