Generated triangular norms

Erich Peter Klement; Radko Mesiar; Endre Pap

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Displaying similar documents to “Generated triangular norms”

On the generators of T-indistinguishability operator.

Joan Jacas (1988)

Stochastica

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The structure of the generators' set of a T-indistinguishability operator is analyzed. A suitable characterization of such generators is given. T-indistinguishability operators generated by a single fuzzy set, in the sense of the representation problem, are studied.

On types of fuzzy numbers under addition

Dug Hun Hong (2004)

Kybernetika

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We consider the question whether, for given fuzzy numbers, there are different pairs of $t$ -norm such that the resulting membership function within the extension principle under addition are identical. Some examples are given.

Aggregation operators and fuzzy measures on hypographs

Doretta Vivona, Maria Divari (2002)

Kybernetika

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In a fuzzy measure space we study aggregation operators by means of the hypographs of the measurable functions. We extend the fuzzy measures associated to these operators to more general fuzzy measures and we study their properties.

Triangular norm-based addition preserving linearity of T-sums of linear fuzzy intervals.

Anna Kolesárová (1998)

Mathware and Soft Computing

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The addition of fuzzy intervals based on a triangular norm T is studied. It is shown that the addition based on a t-norm T weaker than the Lukasiewicz t-norm T acts on linear fuzzy intervals just as the T-based addition. Some examples are given.