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....

Descripción completa

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
Descripción
Sumario: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.

Ejemplares similares