The interval constructor on classes of ML-Algebras/

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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 o...

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Detalhes bibliográficos
Principais autores:	Santos, Hélida Salles., Callejas Bedregal, Benjamín René.
Formato:	Dissertação
Publicado em:
Assuntos:	Lógica matemática - Dissertação. Lógica fuzzy - Lógica monoidal - Matemática intervalar - T-Norma - ML-Algebras - Mathematical logic. Fuzzy logics. Monoidal logic. Interval mathematics. ML-Algebras. T-norm.
Endereço do item:	https://app.bczm.ufrn.br/home/#/item/103795
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spelling	oai:localhost:123456789-734722023-08-28T21:00:51Z The interval constructor on classes of ML-Algebras/ Santos, Hélida Salles. Callejas Bedregal, Benjamín René. Lógica matemática - Dissertação. Lógica fuzzy - Dissertação. Lógica monoidal - Dissertação. Matemática intervalar - Dissertação. T-Norma - Dissertação. ML-Algebras - Dissertação. Mathematical logic. Fuzzy logics. Monoidal logic. Interval mathematics. ML-Algebras. T-norm. 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. 1 2022-10-05T17:50:42Z 2022-10-05T17:50:42Z 2008. Dissertação 510.6 S237i DISSERT 103795 https://app.bczm.ufrn.br/home/#/item/103795 https://repositorio.ufrn.br/bitstream/123456789/17974/1/HelidaSS.pdf
institution	Acervo SISBI
collection	SIGAA
topic	Lógica matemática - Dissertação. Lógica fuzzy - Dissertação. Lógica monoidal - Dissertação. Matemática intervalar - Dissertação. T-Norma - Dissertação. ML-Algebras - Dissertação. Mathematical logic. Fuzzy logics. Monoidal logic. Interval mathematics. ML-Algebras. T-norm.
spellingShingle	Lógica matemática - Dissertação. Lógica fuzzy - Dissertação. Lógica monoidal - Dissertação. Matemática intervalar - Dissertação. T-Norma - Dissertação. ML-Algebras - Dissertação. Mathematical logic. Fuzzy logics. Monoidal logic. Interval mathematics. ML-Algebras. T-norm. Santos, Hélida Salles. Callejas Bedregal, Benjamín René. The interval constructor on classes of ML-Algebras/
description	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.
format	Dissertação
author	Santos, Hélida Salles. Callejas Bedregal, Benjamín René.
author_facet	Santos, Hélida Salles. Callejas Bedregal, Benjamín René.
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/
publishDate	2022
url	https://app.bczm.ufrn.br/home/#/item/103795
work_keys_str_mv	AT santoshelidasalles theintervalconstructoronclassesofmlalgebras AT callejasbedregalbenjaminrene theintervalconstructoronclassesofmlalgebras AT santoshelidasalles intervalconstructoronclassesofmlalgebras AT callejasbedregalbenjaminrene intervalconstructoronclassesofmlalgebras
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The interval constructor on classes of ML-Algebras/

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