L-fuzzy 滤子空间范畴

J4 ›› 2010, Vol. 45 ›› Issue (9): 43-48.

• 第十届中国Rough集与软计算学术会议专栏 • 上一篇下一篇

L-fuzzy 滤子空间范畴

刘华丽

西安石油大学理学院, 陕西西安 710065

收稿日期:2010-03-04 出版日期:2010-09-16 发布日期:2010-10-12
作者简介:刘华丽(1968-),女,副教授,硕士,主要从事数学教学与研究. Email:lhl1901@163.com
基金资助:
国家自然科学基金资助项目(90610012)

The category of L-fuzzy filter spaces

LIU Hua-li

College of Sciences, Xi’an Shiyou University, Xi’an 710065, Shaanxi, China

Received:2010-03-04 Online:2010-09-16 Published:2010-10-12

摘要/Abstract

摘要：

给出L-滤子和L-fuzzy 滤子空间的概念,讨论了固定集合X上全体L-滤子之集的一些格论性质。研究了 L-fuzzy 滤子空间范畴LFIL的若干范畴性质,给出了范畴LFIL中等子和乘积的构造, 证明了LFIL是拓扑范畴, 得到了范畴LFIL与范畴LCFIL之间存在着一对伴随函子的结果。

关键词: L-fuzzy 滤子空间; 等子;乘积; 左伴随; 拓扑范畴

Abstract:

The notions of L-filter and L-fuzzy filter space are given, and lattice properties of the set of all L-filter on a fixed set X are disscussed. Then categorical properties of L-fuzzy filter space category LFIL are studied. The constructs of equivalizer and product in LFIL are given, and LFIL is proved to be a topological category. It is proved that there is an adjunction between category LFIL and category LCFIL.

Key words: L-fuzzy filter spaces; equalizer; product; left adjoint; topological category

刘华丽. L-fuzzy 滤子空间范畴[J]. J4, 2010, 45(9): 43-48.

LIU Hua-li. The category of L-fuzzy filter spaces[J]. J4, 2010, 45(9): 43-48.

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The category of L-fuzzy filter spaces

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