On soft topological ordered spaces

By Tareq M. Al-shami, Mohammed E. El-Shafei, M. Abo-Elhamayel. Journal of King Saud University: Science, 2019

55 citations recorded by the source corpus.

Abstract In this paper, the authors initiate a soft topological ordered space by adding a partial order relation to the structure of a soft topological space. Some concepts such as monotone soft sets and increasing (decreasing) soft operators are presented and their main properties are studied in detail. The notions of ordered soft separation axioms, namely p-soft T i -ordered spaces ( i = 0 , 1 , 2 , 3 , 4 ) are introduced and the relationships among them are illustrated with the help of examples. In particular, the equivalent conditions for p-soft regularly ordered spaces and soft normally ordered spaces are given. Moreover, we define the soft topological ordered properties and then verify that the property of being p-soft T i -ordered spaces is a soft topological ordered property, for i = 0 , 1 , 2 , 3 , 4 . Finally, we investigate the relationships between soft compactness and some ordered soft separation axioms and point out that the condition of soft compactness is sufficient for the equivalent between p-soft T 2 -ordered spaces and p-soft T 3 -ordered spaces.

Subfields: Management Science and Operations Research

View Paper: https://www.semanticscholar.org/paper/14a8cead2a3ac1979fa8c9fad993174e0a0c6a94

How researchers see this paper

The researchers whose trusted networks rank it highest, strongest advocate first. Every researcher gets a different order.

In Management Science and Operations Research

1. Tareq M. Al-shami
2. Mohammed E. El-Shafei

Citations in the corpus

• T-soft equality relation (2020, background): “[6] defined monotone soft sets and investigated main properties.”