On α-layer ideal topologies

Authors:
Xiu-Yun Wu;Li-Li Xie
Affiliations:
Department of Mathematics, Institute of Computational Mathematics, Hunan University of Science and Engineering, Yongzhong, China;Department of English Teaching, Hunan University of Science and Engineering, Yongzhong, China
Venue:
Advances in Fuzzy Systems
Year:
2012

Citing 4
Cited 0

New topologies from old via ideals

American Mathematical Monthly
Fuzzy ideal theory: fuzzy local function and generated fuzzy topology

Fuzzy Sets and Systems
ω-Convergence theory of filters in Lω -spaces

Fuzzy Optimization and Decision Making
L-fuzzy connectedness in stratified order-preserving operator spaces

Advances in Fuzzy Systems

Quantified Score

Hi-index	0.00

Visualization

Abstract

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*(I)-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*(I)-oposs.