Connectedness of soft rough topological space

Path Connectedness over Soft Rough Topological Space

“…To avoid repetition, we do not write it again. As the description in [23], we have known the soft rough real topological space is connected, next , we study some properties of this connected soft rough real topology.…”

“…Assuming that the reader is familiar with soft set, topology, soft rough formal context, and soft connectedness, we review the basic knowledge used in this paper and more information can see [19][20][21][22][23].…”

“…Formal concept context [1,2], rough set [2,4], soft set [5,6] are extensively applied in the uncertainty reasoning, and many authors have discussed the related issues in these fields, and produced many *Corresponding author: E-mail: fl0971@163.com meaningful research results mostly listed the reference ( [7]- [16]). Topology [17] is also applied to these fields as one of the greatest unifying ideas of mathematics listed in the reference [18]- [23]. In [23], the authors defined isolated subset and demonstrated the properties of isolated subset.…”

“…Topology [17] is also applied to these fields as one of the greatest unifying ideas of mathematics listed in the reference [18]- [23]. In [23], the authors defined isolated subset and demonstrated the properties of isolated subset. At the same time, in this paper, the soft rough connected topological space is defined, and connectedness of soft rough topological space is discussed.…”

“…However, the above researches were carried out without referring path connectedness. Therefore, in this paper, based on the connected soft rough topological space which author proposed in [23], we further discuss path connectedness of the soft topological space over the soft rough formal context . The rest of this paper is organized as following: in section 2, we review some basic concepts and properties of rough concept formal and soft sets.…”