FUZZY FEEBLY $F_\sigma$-COMPLEMENTED SPACES
Keywords:
fuzzy $F_\sigma$-set, fuzzy set, fuzzy dense set, fuzzy regular open set, fuzzy space, fuzzy extremally disconnected space, fuzzy P-space, fuzzy $F_\sigma$-complemented space, fuzzy normal spaceDOI:
https://doi.org/10.17654/2277141725005Abstract
In this paper, the notion of fuzzy feebly $F_\sigma$-complemented space is introduced and several characterizations of fuzzy feebly $F_\sigma$-complemented spaces are established. The inter-relations between weakly $F_\sigma$-complemented spaces and fuzzy feebly $F_\sigma$-complemented spaces are established. The conditions, under which fuzzy feebly $F_\sigma$-complemented spaces become fuzzy $F$-spaces and fuzzy $F^{\prime}$-spaces become fuzzy normal spaces, are also obtained in this paper.
Received: July 26, 2025
Accepted: September 24, 2025
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