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arXiv 1108.1069math.CTmath.GN
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作为集合之间模糊关系的模糊表示

Ambiguous representations as fuzzy relations between sets

Oleh Nykyforchyn, Dušan Repovš

摘要:

介绍了一个空间的闭子集与另一个空间的闭子集的模糊模糊表示。证明了对每对紧T2空间,(清晰或$L$ -模糊)模糊表示的集合是一个格和一个紧Hausdorff Lawson上半格.定义并研究了模糊表示和$L$ -模糊表示的分类。

英文摘要:

Crisp and $L$-fuzzy ambiguous representations of closed subsets of one space by closed subsets of another space are introduced. It is shown that, for each pair of compact Hausdorff spaces, the set of (crisp or $L$-fuzzy) ambiguous representations is a lattice and a compact Hausdorff Lawson upper semilattice. The categories of ambiguous and $L$-ambiguous representations are defined and investigated.

机构、总结、中文摘要均由AI分析而来,可能存在错误,请以论文正文为准。

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