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.
Enric Trillas, Susana Cubillo, Adolfo Rodríguez de Soto (1994)
Mathware and Soft Computing
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Erich Peter Klement, Radko Mesiar, Endre Pap (2000)
Kybernetika
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An overview of generated triangular norms and their applications is presented. Several properties of generated -norms are investigated by means of the corresponding generators, including convergence properties. Some applications are given. An exhaustive list of relevant references is included.
Marcin Detyniecki, Ronald R. Yager, Bernadette Bouchon-Meunier (2000)
Mathware and Soft Computing
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We study here the behavior of the t-norms at the point (1/2, 1/2). We indicate why this point can be considered as significant in the specification of t-norms. Then, we suggest that the image of this point can be used to classify the t-norms. We consider some usual examples. We also study the case of parameterized t-norms. Finally using the results of this study, we propose a uniform method of computing the parameters. This method allows not only having the same parameter-scale for all...
Pedro J. Burillo López, Noé Frago Paños, Ramón Fuentes González (2003)
Mathware and Soft Computing
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First of all, in this paper we propose a family of fuzzy implication operators, which the generalised Lukasiewicz's one, and to analyse the impacts of Smets and Magrez properties on these operators. The result of this approach will be a characterisation of a proposed family of inclusion grade operators (in Bandler and Kohout's manner) that satisfies the axioms of Divyendu and Dogherty. Second, we propose a method to define fuzzy morphological operators (erosions and dilations). A family...
Dug Hun Hong (2004)
Kybernetika
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We consider the question whether, for given fuzzy numbers, there are different pairs of -norm such that the resulting membership function within the extension principle under addition are identical. Some examples are given.