The Interval Constructor on classes of ML-algebras

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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 in...

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Autor principal: Santos, Hélida Salles
Outros Autores: Bedregal, Benjamin René Callejas
Formato: Dissertação
Idioma:eng
Publicado em: Universidade Federal do Rio Grande do Norte
Assuntos:
Fuzzy logics
Monoidal logic
Interval mathematics
T-norm
Residuated lattices
ML-algebras
CNPQ::CIENCIAS EXATAS E DA TERRA::CIENCIA DA COMPUTACAO::SISTEMAS DE COMPUTACAO
Endereço do item:https://repositorio.ufrn.br/jspui/handle/123456789/17974
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spelling ri-123456789-179742017-11-04T13:13:17Z The Interval Constructor on classes of ML-algebras Santos, Hélida Salles Bedregal, Benjamin René Callejas http://lattes.cnpq.br/2096843997457737 http://buscatextual.cnpq.br/buscatextual/visualizacv.do?id=K4781417E7 Lyra, Aarão http://lattes.cnpq.br/2558569782799336 Oliveira, Marcel Vinicius Medeiros http://lattes.cnpq.br/1756952696097255 Dimuro, Graçaliz Pereira http://lattes.cnpq.br/9414212573217453 Fuzzy logics Monoidal logic Interval mathematics T-norm Residuated lattices ML-algebras CNPQ::CIENCIAS EXATAS E DA TERRA::CIENCIA DA COMPUTACAO::SISTEMAS DE COMPUTACAO 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 2014-12-17T15:47:46Z 2008-07-31 2014-12-17T15:47:46Z 2008-02-15 masterThesis 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. https://repositorio.ufrn.br/jspui/handle/123456789/17974 eng Acesso Aberto application/pdf application/pdf Universidade Federal do Rio Grande do Norte BR UFRN Programa de Pós-Graduação em Sistemas e Computação Ciência da Computação
institution Repositório Institucional
collection RI - UFRN
language eng
topic Fuzzy logics
Monoidal logic
Interval mathematics
T-norm
Residuated lattices
ML-algebras
CNPQ::CIENCIAS EXATAS E DA TERRA::CIENCIA DA COMPUTACAO::SISTEMAS DE COMPUTACAO
spellingShingle Fuzzy logics
Monoidal logic
Interval mathematics
T-norm
Residuated lattices
ML-algebras
CNPQ::CIENCIAS EXATAS E DA TERRA::CIENCIA DA COMPUTACAO::SISTEMAS DE COMPUTACAO
Santos, Hélida Salles
The Interval Constructor on classes of ML-algebras
description 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
author2 Bedregal, Benjamin René Callejas
author_facet Bedregal, Benjamin René Callejas
Santos, Hélida Salles
format masterThesis
author Santos, Hélida Salles
author_sort Santos, Hélida Salles
title The Interval Constructor on classes of ML-algebras
title_short The Interval Constructor on classes of ML-algebras
title_full The Interval Constructor on classes of ML-algebras
title_fullStr The Interval Constructor on classes of ML-algebras
title_full_unstemmed The Interval Constructor on classes of ML-algebras
title_sort interval constructor on classes of ml-algebras
publisher Universidade Federal do Rio Grande do Norte
publishDate 2014
url https://repositorio.ufrn.br/jspui/handle/123456789/17974
work_keys_str_mv AT santoshelidasalles theintervalconstructoronclassesofmlalgebras
AT santoshelidasalles intervalconstructoronclassesofmlalgebras
_version_ 1773961601270939648

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