Abstract:

The soft set theory is applied to the Boolean algebra. The concepts of soft Boolean algebra, soft Boolean subalgebra, soft ideal of soft Boolean algebra and idealistic soft Boolean algebra are presented and some related algebraic properties are discussed. The relations between soft Boolean algebra and several kinds of fuzzy subalgebras of Boolean algebra are preliminarily investigated.

Key words: Boolean algebra; soft Boolean algebra; soft Boolean subalgebra; soft ideal; idealistic soft Boolean algebra