Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
10323929 | Fuzzy Sets and Systems | 2005 | 9 Pages |
Abstract
Kindler gave a purely topological condition for an intersection of subsets of some set to be nonempty, which plays an important role in topology. This paper generalizes Kindler's theorems to the fuzzy lattice-based setting, due to a proper choice of compactness and connectedness axioms. It shows that almost all basic results of Kindler survive in the extended setting.
Keywords
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Physical Sciences and Engineering
Computer Science
Artificial Intelligence
Authors
Jong-Sook Bae, Seong-Hoon Cho, Gwang-Yeon Lee,