Annals of Communications in Mathematics

AbstractThe purpose of this paper is to introduce the notion of soft regular semi compactness, connectedness, and separation axioms using regular semiopen soft sets in soft topological spaces. Moreover, we investigate soft RS-regular space and soft RSnormal space are soft to pological properties under bijection, soft regular semi irresolute and soft regular semi irresolute open functions. Also, we show that the properties of being soft regular semi Ti-spaces (i = 1, 2, 3, 4) are hereditary properties.

ABSTRACT.In this paper we introduce and study fuzzy quasi \( e \) (resp. \( e^{*}, \alpha, \beta, \delta \) and \( \delta p \))-open sets, fuzzy quasi \( e \) (resp. \( e^{*}, \alpha, \beta, \delta s \) and \( \delta p \))-closed sets, fuzzy quasi \( e \) (resp. \( e^{*}, \alpha, \beta, \delta s \) and \( \delta p \))-connectedness between fuzzy sets, fuzzy quasi \( e \) (resp. \( e^{*}, \alpha, \beta, \delta s \) and \( \delta p \))-separated sets in fuzzy bitopological spaces.