This article introduces fuzzy Q-space and shows its properties in fuzzy topological spaces, indicating conditions for fuzzy extremally disconnected spaces.
By combining fuzzy extremally disconnectedness and fuzzy open hereditarily irresolvablity of fuzzy topological spaces, the notion of fuzzy Q-space is introduced in this article. Various properties of this notion are discussed and conditions under which fuzzy extremely disconnected spaces become fuzzy Q-spaces are obtained. Fuzzy Q-spaces are found to be fuzzy second category spaces but not fuzzy Baire spaces and fuzzy Q-spaces are not fuzzy -complemented spaces.
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Thangaraj et al. (2025) studied this question.
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