西安邮电大学学报
西安郵電大學學報
서안유전대학학보
Journal of Xi'an University of Posts and Telecommunications
2015年
4期
74-79
,共6页
软集%模糊集%格%布尔代数%正交模格
軟集%模糊集%格%佈爾代數%正交模格
연집%모호집%격%포이대수%정교모격
soft sets%fuzzy sets%lattices%Boolean algebras%orthomodular lattices
从格论角度研究软集的一些代数性质，证明了给定论域上的全体软集可构成正交模格及布尔代数等格结构。依此指出给定论域上全体模糊集的格可嵌入全体软集的格，基于格论刻画了软集与模糊集之间的内在联系。
從格論角度研究軟集的一些代數性質，證明瞭給定論域上的全體軟集可構成正交模格及佈爾代數等格結構。依此指齣給定論域上全體模糊集的格可嵌入全體軟集的格，基于格論刻畫瞭軟集與模糊集之間的內在聯繫。
종격론각도연구연집적일사대수성질，증명료급정론역상적전체연집가구성정교모격급포이대수등격결구。의차지출급정론역상전체모호집적격가감입전체연집적격，기우격론각화료연집여모호집지간적내재련계。
Some algebraic properties of soft sets are investigated in this paper from a lattice‐theoretical point of view .It is shown that the class of all soft sets over a given universe can form lattice structures including orthomodular lattices and Boolean algebras .In addition ,it is pointed out that the lattice of fuzzy sets can be embedded into the lattice of soft sets ,which characterizes some inner connections between soft sets and fuzzy sets based on lattice theory .
