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.
出处
《模糊系统与数学》
CSCD
北大核心
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)
关键词
可补半环
Ω-模糊可补子半环
模糊可补子半环
运算
Complemented Subsemiring
Fuzzy Complemented Subsemiring
Ω-fuzzy Complemented Subsemiring
Operation
