Sentence examples for basic properties of soft from inspiring English sources

Then, we have discussed some basic properties of soft neighbourhoods.

Now, we present the basic properties of soft mappings.

We have defined soft filters and studied some basic properties of soft filters.

Using soft product operations of interval-valued fuzzy soft sets, we first investigate some basic properties of soft J-inclusions and soft L-inclusions.

The notion of a soft topology on a soft set was introduced by Cagman et al. [32] and some basic properties of soft topological spaces were studied.

The pair ( p, ∅ ), where p ∈ E, will be called an empty soft element of F. Nonempty soft elements of F and empty soft elements of F will be called the soft elements of F. The fact that α is a soft element of F will be denoted by α ∈ ˜ F. The following proposition presents the basic properties of the soft elements.

The basic properties of the soft operations are described, e.g., in [4].

Section 3 investigates some basic properties of Jun's soft J-inclusions and Liu's soft L-inclusions.

See [34] for several basic properties of the structure of soft metric spaces.

Next, using the notion of soft element, we define, in a different way than in the literature, a soft mapping transforming a soft set into a soft set and provide basic properties of such mappings.

Further, Das and Samanta [5] introduced a different notion of soft metric space by using a different concept of soft point and investigated some basic properties of these spaces.