Ω-模糊可补子半环  

Ω-fuzzy Complemented Subsemirings

作　　者：朱婵[1,2] 廖祖华[1,2] 罗晓棠[1,2] 刘晓妮[1,2] 朱晓英[1] 

机构地区：[1]江南大学理学院,江苏无锡214122 [2]教育部物联网技术应用工程研究中心,江苏无锡214122

出　　处：《模糊系统与数学》2014年第5期11-18,共8页Fuzzy Systems and Mathematics

基　　金：国家自然科学基金资助项目(61170121);国家自然基金资助项目(11001109);国家大学生创新创业训练计划项目(2050205);江苏省教育科学"十一五"规划项目(D/2006/01/171);省教育厅项目:江苏省高等学校大学生实践创新训练计划(模糊集与粗糙集的研究2009-598)

摘　　要：给定一个集合Ω,引入了可补半环的Ω-模糊可补子半环的概念,研究了它的一些基本性质。给出了可补半环的Ω-模糊可补子半环的等价刻画,证明了可补半环的Ω-模糊可补子半环的交、同态像与同态原像等也是可补半环的Ω-模糊可补子半环。最后,通过在SΩ上定义运算+,×,-,得到可补半环(SΩ,+,×,-),并研究了与其相关的模糊可补子半环与Ω-模糊可补子半环。Given a set Ω, the notion of Ω- fuzzy complemented subsemiring of complemented semiring is introduced, and some basic properties are investigated. Several equivalent characterizations of Ω- fuzzy complemented subsemiring are obtained. We prove that the intersection of two Ω- fuzzy complemented subsemirings, the homomorphism image or homomorphism preimage of Ω-fuzzy complemented subsemiring are also Ω- fuzzy complemented subsemirings. Finally, by defining the ＋,×,- operation in Sa we obtain the complemented semiring （SΩ,＋,×,-）, investigate the relevant fuzzy complemented subsemiring and Ω- fuzzy complemented subsemiring.

关 键 词：可补半环 Ω-模糊可补子半环 模糊可补子半环 运算 

分 类 号：O159[理学—数学]