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Advances in Fuzzy Systems
Volume 2012 (2012), Article ID 582105, 8 pages
Research Article

On 𝜶-Layer Ideal Topologies

1Department of Mathematics, Institute of Computational Mathematics, Hunan University of Science and Engineering, Yongzhong 425100, China
2Department of English Teaching, Hunan University of Science and Engineering, Yongzhong 425100, China

Received 8 April 2012; Accepted 22 June 2012

Academic Editor: Katsuhiro Honda

Copyright © 2012 Xiu-Yun Wu and Li-Li Xie. 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.


The purpose of this paper is to study theory of two different kinds of 𝛼-layer order-preserving operator space, namely, 𝜔𝛼-opos and 𝜔𝛼()-opos. The former kind of space is formed by 𝛼-layer function in L-fuzzy order-preserving operator space. The later kind of space is derived by local 𝛼-remote neighborhood function, which is related with 𝜔𝛼-opos and 𝛼-ideal. We study characteristic properties of the two kinds of spaces, respectively, and give some applications to show the intimate relations under two different 𝜔𝛼()-oposs.