a-INCLUSIONS APPLIED TO GROUP THEORY VIA SOFT SETAND LOGIC

Abstract

Soft set theory, initiated by Molodtsov, is a tool for modelingvarious types of uncertainty. In this paper, upper and lower a-inclusions of asoft set are deÖned. By using these new notions, some analyzes with respect togroup theory are made and it is shown that some of the subgroups of a groupcan be obtained easily with the help of these notions. It is also illustrated thata soft int-group and a soft uni-group can be obtained by its upper a-subgroupsand lower a-subgroups, respectively. Furthermore, soft int-group by its familyof upper a-subgroups is characterized under a certain equivalence relation.Finally, a new method used to construct a soft int-group with the help of itsupper a-subgroups are introduced and an application of this method is given.