Covering properties defined by semi-open sets

$r$-fuzzy regular semi open sets in smooth topological spaces

In this paper, we introduce and study the concept of $r$-fuzzy regular semi open (closed) sets in smooth topological spaces. By using $r$-fuzzy regular semi open (closed) sets, we define a new fuzzy closure operator namely $r$-fuzzy regular semi interior (closure) operator. Also, we introduce fuzzy regular semi continuous and fuzzy regular semi irresolute mappings. Moreover, we investigate the ...

Semi-θ-Open Sets and New Classes of Maps

Some Local Properties of Soft Semi-Open Sets

Soft set theory [1] was firstly introduced byMolodtsov in 1999 as a general mathematical tool for dealing with uncertain, fuzzy, not clearly defined objects. He has shown several applications of this theory in solvingmany practical problems in economics, engineering, social science, medical science, and so forth, in [1]. In the recent years, papers about soft sets theory and their applications ...

Some Topological Properties of Ω-covering Sets

We prove the following theorems: 1. There exists an ω-covering with the property s0. 2. Under cov(N ) = 2 there exists X such that ∀B∈Bor[B ∩ X is not an ω-covering or X \B is not an ω-covering]. 3. Also we characterize the property of being an ω-covering.

semi-θ-open sets and new classes of maps