ON FUZZY PSEUDO P-SPACES
In this paper, the notion of fuzzy pseudo P-spaces is introduced and studied. It is established that fuzzy σ-nowhere dense sets and fuzzy first category sets in fuzzy pseudo P-spaces are not fuzzy dense sets. The conditions for fuzzy pseudo P-spaces to become fuzzy Baire spaces and fuzzy irresolvable spaces are obtained. It is established that fuzzy regular Fσ-sets in fuzzy pseudo P-spaces are not fuzzy first category sets and fuzzy regular Fσ-sets in fuzzy pseudo P-spaces are fuzzy Baire dense sets. The conditions for fuzzy pseudo P-spaces to become fuzzy σ-Baire spaces are also obtained.
fuzzy regular Gδ-set, fuzzy regular Fσ-set, fuzzy Baire dense set, fuzzy somewhere dense set, fuzzy extremally disconnected space, fuzzy σ-Baire space, fuzzy Volterra space.