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The Annexable Parts of BCI-algebras and the Duales of Soft BCI-algebras

Author: CaiXiaoBo
Tutor: LiuYongZuo
School:
Course: Basic mathematics
Keywords: BCI-algebra annexable part soft algebra dual
CLC: O153.2
Type: Master's thesis
Year: 2013
Downloads: 5
Quote: 0
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Abstract


There are two major parts in this paper. In the first one, the notion of the annexable parts in BCI-algebras is introduced, and some related proper-ties are discussed. And what’s more, using the idea of the annexable parts in BCI-algebras, some problems and methods on counting in BCI-algebras are investigated. In the second part, the notions of the dual of soft sets, the dual of soft groups and the dual of soft BCI-algebras are introduced, and some rel-ative properties are studied.Besides, concerning the relation between soft sets and fuzzy sets, the reciprocal reversible transformations between fuzzy sets and some particular soft sets are established. Further, this kind of transformations can be generalized to more general soft sets.

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CLC: > Mathematical sciences and chemical > Mathematics > Algebra,number theory, portfolio theory > Abstract algebra ( Algebra ) > Boolean algebra
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