Journal ArticleDOI
Directed family of fuzzy sets and fuzzy perfect maps
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TLDR
Fuzzy filter bases of fuzzy sets are studied and certain fuzzy topological properties are taken up for their study with regard to fuzzy perfect functions.About:
This article is published in Fuzzy Sets and Systems.The article was published on 1995-10-13. It has received 3 citations till now. The article focuses on the topics: Fuzzy set operations & Fuzzy number.read more
Citations
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Journal ArticleDOI
Fuzzy perfect maps and fuzzy paracompactness
TL;DR: It is proved that S-paracompactness, S ∗ - paracompACTness, fuzzy parac Compoundness, and ∗-fuzzy paracombactness are invariants and inverse invariants of various types of fuzzy perfect maps.
Journal Article
Finite-to-one fuzzy maps and fuzzy perfect maps.
TL;DR: It is shown the invariance and the inverse inveriance under the various kinds of fuzzy perfect maps (and the finite-to-one fuzzy maps), of different properties of fuzzy topological spaces.
Journal ArticleDOI
On fuzzy relative paracompactness
TL;DR: Different kinds of fuzzy paracompactness on fuzzy subsets, relative to a fuzzy topological space are introduced, and some properties of these new fuzzy sets are given.
References
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Journal ArticleDOI
Fuzzy topology. I. Neighborhood structure of a fuzzy point and Moore-Smith convergence
Pu Pao-Ming,Liu Ying-Ming +1 more
Journal ArticleDOI
Fuzzy topological spaces and fuzzy compactness
TL;DR: It will be shown in a following publication that contrary to the results obtained up to now, the Tychonoff-product theorem is safeguarded with fuzzy compactness.
Journal ArticleDOI
Fuzzy topology. II. Product and quotient spaces
Pu Pao-Ming,Liu Ying-Ming +1 more
TL;DR: In this paper, a theory of neighborhood structures and theorems in the theory of Moore-Smith's convergence are generalized to fuzzy topological spaces, including product spaces and quotient spaces.