2013•Journal of Shandong UniversityRequires access

Soft Boolean algebra

Liu Wei-fen

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.

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Key concepts: Boolean algebras canonically defined, Complete Boolean algebra, Free Boolean algebra, Two-element Boolean algebra, Stone's representation theorem for Boolean algebras, Boolean algebra, Subalgebra, Mathematics