关键词: 软亚BCI-代数, 软集, 并代数, 合成运算, 软平移, 投影

Abstract: The notions of union algebra of two weak-BCI-algebras, extended intersection of two soft sets on union algebra, soft translation of soft set and composite operation of two soft sets are proposed. Examples are given to illustrate the existence of union algebra and extended intersection on union algebra. It is proved that the extended intersection of two new type soft weak-BCI-algebras on union algebra is also the new type of soft weak-BCI-algebra under certain condition. The properties of soft translation and projection of the new type of soft weak-BCI-algebra are studied. Furthermore, by applying compositional operation, the level set of soft set and generalized characteristic function, the equivalent characteri-zations of the new type of soft weak-BCI-algebra are obtained respectively.

Key words: soft weak-BCI-algebra, soft set, union algebra, compositional operation, soft translation, projection