This work is divided into two parts. In this part, we introduce and study the notion of supra soft connectedness based on the notion of supra b-open soft sets and give basic definitions and theorems about it. Further, we introduce the notion of supra b-irresolute soft functions as a generalization to the supra b-continuous soft function and study their properties in detail. Finally, we show that, the surjective supra b-irresolute soft image of supra soft b-connected space is also supra soft b-connected.

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Abd El-Latif, A. M.