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Search Results: 1 - 10 of 212523 matches for " 刘春辉 "
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软FI代数及其软MP滤子
春辉
四川师范大学学报(自然科学版) , 2013,
Abstract: 将Molodtsov提出的软集概念及其相关运算应用于FI代数的研究,引入了软FI代数和软FI代数的软MP滤子的概念,讨论了它们的若干代数性质,证明了FI代数X上的任意2个软FI代数的交与直积仍为X上的软FI代数的结论.该研究工作不但有助于促进软集概念与逻辑代数结构的相互融合,而且有助于丰富和完善软集理论与FI代数理论的内容.
关于Fuzzy蕴涵代数的模糊MP滤子
春辉
四川师范大学学报(自然科学版) , 2015, DOI: 10.3969/j.issn.1001-8395.2015.02.016
Abstract: 运用模糊集理论的思想和运算方法对Fuzzy蕴涵代数(FI代数)的模糊MP滤子概念作进一步研究,给出了(正则)FI代数的模糊MP滤子的若干等价刻画.在FI代数上基于一个给定的模糊MP滤子定义了一个同余关系,证明了由该同余关系诱导的商代数仍为FI代数的结论.该研究工作不但有助于进一步促进模糊集概念与逻辑代数结构的相互融合,而且有助于丰富和完善FI代数滤子理论的内容.
正则剩余格的⊙理想拓扑空间
春辉
四川师范大学学报(自然科学版) , 2014,
Abstract: 运用拓扑学的方法和原理研究正则剩余格的⊙理想概念.首先,在正则剩余格L上以全体⊙理想之集为基建立了一个拓扑空间(L,TL).给出了拓扑空间(L,TL)中集合A的导集、闭包和内部的计算公式.其次,考察了(L,TL)的若干拓扑性质.最后,研究了乘积正则剩余格的积拓扑.
非线性系统离散volterra核的建模与测量
春辉
武汉理工大学学报 , 1998,
Abstract: ?运用volterra级数和离散傅立叶变换的理论推导了非线性系统的离散频域模型,并讨论了基于此模型的测量volterra频域核的基本方法──多音信号法
FI代数上基于模糊滤子的一致拓扑空间
春辉
- , 2018, DOI: 10.3785/j.issn.1008-9497.2018.05.001
Abstract: 拓扑结构是逻辑代数领域的重要研究内容之一,为了揭示FI代数上的拓扑结构,基于模糊滤子诱导的同余关系在FI代数上构造一致拓扑空间并讨论其拓扑性质,证明了:(i)一致拓扑空间是非连通、局部紧的完全正则空间;(ii)一致拓扑空间是T0空间当且仅当是T1当且仅当是T2空间;(iii)FI代数中蕴涵算子关于一致拓扑是连续的,从而构成拓扑FI代数.同时,获得了一致拓扑空间是紧空间的充分必要条件.最后,讨论了商空间的性质.该研究对从拓扑层面进一步揭示FI代数内部特征具有一定的促进作用.
Abstract:Topological structure is one of important research topics in the field of logic algebra. In order to describe the topological structure of FI-algebras, uniform topological spaces are established and some of their properties are discussed based on the congruences induced by fuzzy filters. The following conclusions are proved:(i) Every uniform topological space is disconnected, locally compact and completely regular. (ii) A uniform topological space is a T0 space if and only if it is a T1 space if and only if it is a T2 space. (iii) The implication operation in an FI-algebra is continuous under the uniform topology, which makes the FI-algebra to be topological. Meanwhile, some necessary and sufficient conditions for the uniform topological spaces to be compact are obtained. Finally, some properties of uniform topology on the quotient spaces are discussed. The results of this paper take a positive role to reveal internal features of FI-algebras on a topological level.
关于格蕴涵代数的(∈,∈∨q(λ, μ))-模糊LI-理想
On(∈,∈∨q(λ, μ))-fuzzy LI-ideals in lattice implication algebras

春辉
- , 2018, DOI: 10.6040/j.issn.1671-9352.0.2017.508
Abstract: 摘要: 首先, 对格蕴涵代数的(∈,∈∨q(λ, μ))-模糊LI-理想概念作进一步深入研究, 获得了(∈,∈∨q(λ, μ))-模糊LI-理想的一些新的性质和刻画。 其次, 在由给定的格蕴涵代数L上全体模糊集构成的集合上定义了一个偏序关系, 利用给出了由L上的一个模糊集生成的(∈,∈∨q(λ, μ))-模糊LI-理想的定义并建立了其表示定理。 最后, 证明了L关于给定偶对(λ, μ)的全体(∈,∈∨q(λ, μ))-模糊LI-理想之集在偏序下构成一个完备的分配格。
Abstract: Firstly, the notion of (∈,∈∨q(λ, μ))-fuzzy LI-ideals in lattice implication algebras is further studied, and some new properties and equivalent characterizations of (∈,∈∨q(λ, μ))-fuzzy LI-ideals are given. Secondly, a partial order is defined on the set of all fuzzy sets in a given lattice implication algebra L, the definition of (∈,∈∨q(λ, μ))-fuzzy LI-ideal which is generated by a fuzzy set is given and its representation theorem is established by using. Finally, It is proved that the set consisting of all (∈,∈∨q(λ, μ))-fuzzy LI-ideals with respect to a fixed pair(λ, μ)in a given lattice implication algebra, under the partial order, forms a complete distributive lattice
可换BR0-代数在一般集合上的蕴涵表示形式
Representative forms of commutative BR0-algebras on a set by implication operator

春辉
- , 2018, DOI: 10.6040/j.issn.1671-9352.0.2018.035
Abstract: 摘要: 基于对可换BR0-代数的定义和性质的深入研究和分析, 放弃对格的要求, 在一般集合上以蕴涵算子为基本算子给出了可换BR0-代数的几种等价表示形式。 进一步简化了可换BR0-代数的定义形式, 使其在形式上更加突出逻辑代数的一般特征及其与其它逻辑代数间的联系和区别。 为揭示可换BR0-代数的特征及其与其它逻辑代数间的关系提供了依据。
Abstract: By the further study of the definition and properties of commutative BR0-algebras, some equivalent forms of commutative BR0-algebras are obtained on a set by using implication operator. This work not only further simplifies the definition of commutative BR0-algebras, but also conforms commutative BR0-algebras to the features of logical algebras in definition. It provides a basis for studying the relations between commutative BR0-algebras and other logical algebras
BL代数的(,∨(-overq))-模糊滤子格
Lattice of(,∨(-overq))-fuzzy filters in a BL-algebra

春辉
- , 2017, DOI: 10.6040/j.issn.1671-9352.0.2016.400
Abstract: 摘要: 对BL代数的(,∨(-overq))-模糊滤子理论作进一步深入研究。给出了(,∨(-overq))-模糊滤子的若干新性质, 定义了由BL代数上的一个模糊集生成的(,∨(-overq))-模糊滤子并建立了其表示定理, 证明了BL代数的全体(,∨(-overq))-模糊滤子之集构成一个完备的分配格。
Abstract: (,∨(-overq))-fuzzy filter theory in BL-algebras is further studied. Some new properties of(,∨(-overq))-fuzzy filters are given. The notion of(,∨(-overq))-fuzzy filter which is generated by a fuzzy set is defined and its representation theorem is established. It is proved that the set of all(,∨(-overq))-fuzzy filters in a BL-algebra forms a complete distributive lattice
正则剩余格的生成⊙理想与素⊙理想
春辉,徐罗山
四川师范大学学报(自然科学版) , 2010,
Abstract: 在剩余格中引入生成⊙理想和素⊙理想的概念,讨论了(正则)剩余格中生成⊙理想和素⊙理想的若干性质,并在正则剩余格中利用一个特殊的集合x-1I,给出了⊙理想成为素⊙理想的一个充要条件;然后利用这些结果证明了正则剩余格中的素⊙理想定理.
Traditional Chinese Medicine and Its Legal Protection
中医药传统知识法律保护的内在需求

Liu Chunhui,
春辉

世界科学技术-中医药现代化 , 2008,
Abstract: Traditional Chinese medicine is a traditional knowledge.However,it stands out as a special knowledge,in addi- tion to the common aspects it shares with other traditional knowledge.In this context,protection measures shall be de- signed to meet its inherent needs.To discuss the legal protection of TCM expertise,it is absolutely necessary to exam- ine its inherent protection needs for the first place,including attributes,traits and its future development.
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