Annals of Communications in Mathematics

AbstractIn this paper, we introduce the concepts of rarely fuzzy Irw-continuous functions in fuzzy topological spaces. Some interesting properties and characterizations of them are investigated. Also, some applications to fuzzy compact spaces are established.

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.

AbstractThe purpose of this paper is to introduce the concepts of fuzzy regular semicompactness, fuzzy regular semi connectedness, fuzzy regular semi strongly connectedness and fuzzy regular semi-C5-connectedness. Some interesting properties of these notions are studied. In this connection, interrelations are discussed. Examples are provided wherever necessary

AbstractIn this paper, we introduce the concepts of rarely fuzzy e ∗-continuous functions in the sense of Sˇostak’s is introduced. Some interesting properties and characterizations of them are investigated. Also, some applications to fuzzy compact spaces are established.

AbstractIn this paper the concept of somewhat neutrosophic regular semi continuous functions, somewhat neutrosophic regular semi-open functions are introduced and studied. Besides giving characterizations of these functions, several interesting properties of these functions are also given. More examples are given to illustrate the concepts introduced in this paper.

AbstractIn this paper, we introduce the concept of neutrosophic weakly regular semi continuous, neutrosophic regular semi q-neighbourhood in neutrosophic topological spaces. Also, we investigate the relationship among neutrosophic weakly regular semi continuous and other existing continuous functions. Moreover, some counter examples to show that these types of mappings are not equivalent. Finally, Neutrosophic retracts, neutrosophic regular semi retracts, neutrosophic regular semi quasi Urysohn space and neutrosophic regular semi Hausdorff spaces are introduced and studied.