Abstract
A soft set is a classification of elements of the universe with respect to some given set of parameters. It is an approach for modeling vagueness and uncertainty. Soft semigraphs are used to provide a parametrized point of view for semigraphs. The theory of soft semigraphs is a fast-developing area in semigraph theory due to its capability to deal with the parametrization tool. In this paper, we introduce soft disemigraph by applying the concept of soft set in disemigraph and the concepts of degrees and digraphs associated with a soft disemigraph. Also we introduce AND and OR operations on them and investigate some of their properties.
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