Abstract
In this paper the notion of fuzzy semi-P-spaces is introduced and studied. It is established that the class of fuzzy semi-P-spaces lies between the classes of fuzzy-P-spaces and fuzzy almost-P-spaces. It is established that fuzzy fuzzy <i>σ</i>-nowhere dense sets in fuzzy Semi-P-spaces are fuzzy Semi-closed sets and fuzzy <i>G<sub>δ</sub></i>-sets and fuzzy <i>F<sub>σ</sub></i>-sets are fuzzy <i>σ</i>-nowhere sets in fuzzy hyperconnected and semi-P-spaces are fuzzy dense sets. Also it is found that fuzzy residual sets in fuzzy globally disconnected and fuzzy Semi-P-spaces are fuzzy semi-open sets and fuzzy <i>G<sub>δ</sub></i>-sets in fuzzy perfectly disconnected and fuzzy Semi-P-spaces are fuzzy pre-open sets. Also it is established that fuzzy hyperconnected and semi-P-spaces are fuzzy irresolvable spaces. The conditions for fuzzy semi- P-spaces to become fuzzy <i>σ</i>-Baire spaces and fuzzy Baire spaces are obtained. The conditions for the fuzzy semi-P-spaces to become fuzzy strongly irresolvable spaces are also obtained in this paper.
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