Abstract
In this paper, we generalize the notion of soft connectedness (Chen, Some Local Properties of Soft Semi-Open Sets, 2013; Kandil et al., J New Results Sci 4:90-108, 2014; Lin, Int J Math Sci Eng 7(2):1-7, 2013) by using the notion of beta-open soft sets. Also, the concept of beta-irresolute soft functions is introduced, as a generalization of beta-continuous soft functions and several properties of it is investigated. Further, we introduce and study the notion of beta-connectedness and gave the basic definitions and theorems about it. Finally, we show that, the surjective beta-irresolute soft image of soft beta-connected space is also soft beta-connected. This study is a standard generalization of some notions in classical topological spaces to soft topological spaces.