This paper focuses on the set-oriented operations and algebraic structures of soft sets. Relatedly, in this paper, firstly some essential properties $\alpha$-intersection set are investigated, where $\alpha$ is a non-empty subset universal set. Later, by using set, notion set-generated subring ring introduced. The generators intersections products subrings given. Some related about investigated...

The aim of this paper is to initiate and investigate new soft sets over semihypergroups, named special soft sets and transitive soft sets and denoted by $S_{H}$ and  $T_{H},$ respectively. It is shown that $T_{H}=S_{H}$ if and only if $beta=beta^{*}.$ We also introduce the derived semihypergroup from a special soft set and study some properties of this class of semihypergroups.

Molodtsov initiated soft set theory that provided a general mathematicalframework for handling with uncertainties in which we encounter the data by affix parameterized factor during the information analysis as differentiated to fuzzy as well as bipolar fuzzy set theory.The main object of this paper is to lay a foundation for providing a new application of bipolar fuzzy soft tool in ...