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A. Vadivel
Open AccessArticle

Regular semiopen soft sets and their applications

Annals of Communications in Mathematics 2021

, 4 (1)

, 45-62

DOI: https://doi.org/10.62072/acm.2021.040106

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.
Open AccessArticle

Generalizations of fuzzy quasi open sets and connectedness between fuzzy sets in fuzzy bitopological spaces

Annals of Communications in Mathematics 2020

, 3 (3)

, 218-231

DOI: https://doi.org/10.62072/acm.2020.030305

AbstractIn this paper we introduce and study fuzzy quasi e (resp. e ∗, a, β, δs and δp)-open sets, fuzzy quasi e (resp. e ∗, a, β, δs and δp)-closed sets, fuzzy quasi e (resp. e ∗, a, β, δs and δp)-connectedness between fuzzy sets fuzzy quasi e (resp. e ∗, a, β, δs and δp)–separated sets in fuzzy bitopological spaces.