Abstract
In this paper, we define the concept of soft -connected sets and soft -connected spaces by using the notion of soft -open sets in soft topological spaces. Several properties of these concepts are investigated.
Highlights
1 Introduction In topology, connectedness is used to refer to various properties meaning in some sense
In 2013, Lin [3] continued the study of soft connectedness
In 2015, Husain [4] provided more characterizations of soft connectedness in soft topological spaces. We introduce another type of soft separation and soft connectedness in soft topological spaces by using the concept of soft -open and soft -closed sets, called soft -separation and soft -connected space
Summary
Connectedness is used to refer to various properties meaning in some sense, (all in one piece). Many authors have presented different kinds of connectivity in general, including fuzzy settings and intuitionistic fuzzy settings such as P-connectedness and semi-pre connectedness in intuitionistic fuzzy topological spaces. In 2012, Peyhan et al [2] introduced soft connectedness in soft topological spaces. In 2015, Husain [4] provided more characterizations of soft connectedness in soft topological spaces. We introduce another type of soft separation and soft connectedness in soft topological spaces by using the concept of soft -open and soft -closed sets, called soft -separation and soft -connected space. . Any logical operation on soft sets in soft topological spaces is denoted by the usual set theoretical operations with the symbol
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