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
刘华丽
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基金资助:
国家自然科学基金资助项目(90610012)
LIU Hua-li
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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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http://lxbwk.njournal.sdu.edu.cn/CN/Y2010/V45/I9/43
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