title: Pawlak algebra and approximate structure on fuzzy lattice.
abstract: 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.
authors.affiliation: Faculty of Science, Kunming University of Science and Technology, Kunming 650500, China.
authors.forename: Ying
authors.initials: Y
authors.lastname: Zhuang
authors.affiliation: Faculty of Science, Kunming University of Science and Technology, Kunming 650500, China.
authors.forename: Wenqi
authors.initials: W
authors.lastname: Liu
authors.affiliation: Department of Statistics, Feng Chia University, Taichung 40724, Taiwan.
authors.forename: Chin-Chia
authors.initials: CC
authors.lastname: Wu
authors.affiliation: Faculty of Science, Kunming University of Science and Technology, Kunming 650500, China.
authors.forename: Jinhai
authors.initials: J
authors.lastname: Li
mesh_terms: D000465:Algorithms; D008962:Models, Theoretical