Fuzzy resolvable sets and fuzzy hyperconnected spaces
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DOI:
https://doi.org/10.26637/MJM0802/0064Abstract
In this paper, several characterizations of fuzzy resolvable sets are established. The conditions for the existence of fuzzy resolvable sets in fuzzy hyperconnected spaces are obtained. It is established that the pre-images of fuzzy open sets in fuzzy topological spaces under fuzzy continuous, fuzzy semi-continuous and fuzzy contra -continuous functions are fuzzy resolvable sets in fuzzy hyperconnected spaces.
Keywords:
Fuzzy somewhere dense set, fuzzy nowhere dense set, fuzzy simply $star $ open set, fuzzy residual set, fuzzy $beta $-open set, fuzzy P-spaces, somewhat fuzzy continuous functionMathematics Subject Classification:
Mathematics- Pages: 702-708
- Date Published: 01-04-2020
- Vol. 8 No. 02 (2020): Malaya Journal of Matematik (MJM)
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