期刊论文

中文

模糊系统与数学

1001-7402

2013

27

3

41-50

10.3969/j.issn.1001-7402.2013.03.006

湖南省教育厅研究项目（12C0171） 湖南省教育厅重点建设学科项目

本校为第一机构

在MV-方体[0,1]~X的子集Ω上引进MV-拓扑结构,并套论MV-拓扑空间的紧性、Hausdorff分离性等拓扑性质。细致地讨论MV-代数的素滤子集上的MV-拓扑空间(M,Ω_M),证明素滤子MV-拓扑空间是紧Hausdorff MV-空间,并且它还是良紧空间。作为应用,证明一个σ-完备格M是MV-代数当且仅当M同构于某个Stone MV-空间的MV-开闭集格。

In this paper, we introduce the MY-topology structure in a subset of MV-club [0, 1]x and discuss some properties of MV-topology, such as compactness and separation etc. We discuss in detail the prime filter MV-topology space and prove that it is a compact Hausdorff space and it is also a N-compact space is proved. As an application, it is proved that a a-complete lattice is an MY-algebra if and if only is is isom...