Roughness in Lattice Ordered Effect Algebras

Many authors have studied roughness on various algebraic systems. In this paper, we consider a lattice ordered effect algebra and discuss its roughness in this context. Moreover, we introduce the notions of the interior and the closure of a subset and give some of their properties in effect algebras...

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Detalles Bibliográficos
Autores principales: Xin, Xiao Long, Hua, Xiu Juan, Zhu, Xi
Formato: Online Artículo Texto
Lenguaje:English
Publicado: Hindawi Publishing Corporation 2014
Materias:
Research Article
Acceso en línea:https://www.ncbi.nlm.nih.gov/pmc/articles/PMC4134886/
https://www.ncbi.nlm.nih.gov/pubmed/25170523
http://dx.doi.org/10.1155/2014/542846
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author Xin, Xiao Long
Hua, Xiu Juan
Zhu, Xi
author_facet Xin, Xiao Long
Hua, Xiu Juan
Zhu, Xi
author_sort Xin, Xiao Long
collection PubMed
description Many authors have studied roughness on various algebraic systems. In this paper, we consider a lattice ordered effect algebra and discuss its roughness in this context. Moreover, we introduce the notions of the interior and the closure of a subset and give some of their properties in effect algebras. Finally, we use a Riesz ideal induced congruence and define a function e(a, b) in a lattice ordered effect algebra E and build a relationship between it and congruence classes. Then we study some properties about approximation of lattice ordered effect algebras.
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spelling pubmed-41348862014-08-28 Roughness in Lattice Ordered Effect Algebras Xin, Xiao Long Hua, Xiu Juan Zhu, Xi ScientificWorldJournal Research Article Many authors have studied roughness on various algebraic systems. In this paper, we consider a lattice ordered effect algebra and discuss its roughness in this context. Moreover, we introduce the notions of the interior and the closure of a subset and give some of their properties in effect algebras. Finally, we use a Riesz ideal induced congruence and define a function e(a, b) in a lattice ordered effect algebra E and build a relationship between it and congruence classes. Then we study some properties about approximation of lattice ordered effect algebras. Hindawi Publishing Corporation 2014 2014-07-24 /pmc/articles/PMC4134886/ /pubmed/25170523 http://dx.doi.org/10.1155/2014/542846 Text en Copyright © 2014 Xiao Long Xin et al. https://creativecommons.org/licenses/by/3.0/ This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
spellingShingle Research Article
Xin, Xiao Long
Hua, Xiu Juan
Zhu, Xi
Roughness in Lattice Ordered Effect Algebras
title Roughness in Lattice Ordered Effect Algebras
title_full Roughness in Lattice Ordered Effect Algebras
title_fullStr Roughness in Lattice Ordered Effect Algebras
title_full_unstemmed Roughness in Lattice Ordered Effect Algebras
title_short Roughness in Lattice Ordered Effect Algebras
title_sort roughness in lattice ordered effect algebras
topic Research Article
url https://www.ncbi.nlm.nih.gov/pmc/articles/PMC4134886/
https://www.ncbi.nlm.nih.gov/pubmed/25170523
http://dx.doi.org/10.1155/2014/542846
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AT huaxiujuan roughnessinlatticeorderedeffectalgebras
AT zhuxi roughnessinlatticeorderedeffectalgebras

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