Pawlak Algebra and Approximate Structure on Fuzzy Lattice

The aim of this paper is to investigate the general approximation structure, weak approximation operators, and Pawlak algebra in the framework of fuzzy lattice, lattice topology, and auxiliary ordering. First, we prove that the weak approximation operator space forms a complete distributive lattice....

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Detalles Bibliográficos
Autores principales: Zhuang, Ying, Liu, Wenqi, Wu, Chin-Chia, Li, Jinhai
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/PMC4134832/
https://www.ncbi.nlm.nih.gov/pubmed/25152922
http://dx.doi.org/10.1155/2014/697107
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author Zhuang, Ying
Liu, Wenqi
Wu, Chin-Chia
Li, Jinhai
author_facet Zhuang, Ying
Liu, Wenqi
Wu, Chin-Chia
Li, Jinhai
author_sort Zhuang, Ying
collection PubMed
description The aim of this paper is to investigate the general approximation structure, weak approximation operators, and Pawlak algebra in the framework of fuzzy lattice, lattice topology, and auxiliary ordering. First, we prove that the weak approximation operator space forms a complete distributive lattice. Then we study the properties of transitive closure of approximation operators and apply them to rough set theory. We also investigate molecule Pawlak algebra and obtain some related properties.
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spelling pubmed-41348322014-08-24 Pawlak Algebra and Approximate Structure on Fuzzy Lattice Zhuang, Ying Liu, Wenqi Wu, Chin-Chia Li, Jinhai ScientificWorldJournal Research Article The aim of this paper is to investigate the general approximation structure, weak approximation operators, and Pawlak algebra in the framework of fuzzy lattice, lattice topology, and auxiliary ordering. First, we prove that the weak approximation operator space forms a complete distributive lattice. Then we study the properties of transitive closure of approximation operators and apply them to rough set theory. We also investigate molecule Pawlak algebra and obtain some related properties. Hindawi Publishing Corporation 2014 2014-07-23 /pmc/articles/PMC4134832/ /pubmed/25152922 http://dx.doi.org/10.1155/2014/697107 Text en Copyright © 2014 Ying Zhuang 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
Zhuang, Ying
Liu, Wenqi
Wu, Chin-Chia
Li, Jinhai
Pawlak Algebra and Approximate Structure on Fuzzy Lattice
title Pawlak Algebra and Approximate Structure on Fuzzy Lattice
title_full Pawlak Algebra and Approximate Structure on Fuzzy Lattice
title_fullStr Pawlak Algebra and Approximate Structure on Fuzzy Lattice
title_full_unstemmed Pawlak Algebra and Approximate Structure on Fuzzy Lattice
title_short Pawlak Algebra and Approximate Structure on Fuzzy Lattice
title_sort pawlak algebra and approximate structure on fuzzy lattice
topic Research Article
url https://www.ncbi.nlm.nih.gov/pmc/articles/PMC4134832/
https://www.ncbi.nlm.nih.gov/pubmed/25152922
http://dx.doi.org/10.1155/2014/697107
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AT liuwenqi pawlakalgebraandapproximatestructureonfuzzylattice
AT wuchinchia pawlakalgebraandapproximatestructureonfuzzylattice
AT lijinhai pawlakalgebraandapproximatestructureonfuzzylattice

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