Please use this identifier to cite or link to this item: https://repositorio.ufrn.br/handle/123456789/17974
Title: The Interval Constructor on classes of ML-algebras
Authors: Santos, Hélida Salles
Keywords: Fuzzy logics;Monoidal logic;Interval mathematics;T-norm;Residuated lattices;ML-algebras
Issue Date: 15-Feb-2008
Publisher: Universidade Federal do Rio Grande do Norte
Citation: SANTOS, Hélida Salles. The Interval Constructor on classes of ML-algebras. 2008. 75 f. Dissertação (Mestrado em Ciência da Computação) - Universidade Federal do Rio Grande do Norte, Natal, 2008.
Portuguese Abstract: Monoidal logic, ML for short, which formalized the fuzzy logics of continuous t-norms and their residua, has arisen great interest, since it has been applied to fuzzy mathematics, artificial intelligence, and other areas. It is clear that fuzzy logics basically try to represent imperfect or fuzzy information aiming to model the natural human reasoning. On the other hand, in order to deal with imprecision in the computational representation of real numbers, the use of intervals have been proposed, as it can guarantee that the results of numerical computation are in a bounded interval, controlling, in this way, the numerical errors produced by successive roundings. There are several ways to connect both areas; the most usual one is to consider interval membership degrees. The algebraic counterpart of ML is ML-algebra, an interesting structure due to the fact that by adding some properties it is possible to reach different classes of residuated lattices. We propose to apply an interval constructor to ML-algebras and some of their subclasses, to verify some properties within these algebras, in addition to the analysis of the algebraic aspects of them
URI: https://repositorio.ufrn.br/jspui/handle/123456789/17974
Appears in Collections:PPGSC - Mestrado em Sistemas e Computação

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