On transitive soft sets over semihypergroups

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.

Keywords:

soft sets , transitive soft sets , (semi)hypergroup , strongly regular relation