共查询到17条相似文献,搜索用时 4 毫秒
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以生成I(L)拓扑空间为基础,首先引入了Ω_L,I_L等算子及I(L)-fuzzy拓扑空间的概念,其次研究了该拓扑空间的基本性质及算子的相应运算规则,最后讨论了此拓扑空间与I(L)-fuzzy拓扑空间的关系.得到了生成I(L)-fuzzy拓扑空军的相应性质. 相似文献
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在Fuzzifying(模糊化)数学的框架下,建立了Fuzzifying闭包系统和Birkhoff型Fuzzifying闭包算子的概念; 引入了Fuzzifying闭包空间范畴和Fuzzifying闭包系统空间范畴,并从范畴论的角度证明Birkhoff型Fuzzifying闭包算子与Fuzzifying闭包系统是协调的.最后文中还得到Fuzzifying闭包空间范畴和Fuzzifying闭包系统空间范畴可以嵌入到Birkhoff型L-闭包空间范畴这一重要结果. 相似文献
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旨在利用概率方法探讨鞅空间K2与M1之间的鞅空间包含变化关系.首先提出了新的鞅空间M(ln+M)p,L(ln+L)p以及K(ln+K)p(其中p 1)的定义,并证明了其空间包含关系. 相似文献
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本文引进了新的闭包系统,新的闭包算子等概念,研究了它们之间的相互关系,给出了由闭包系统来表示有限原子格的表示定理,证明了分别以这些数学结构为对象,以它们之间的同态映射作为态射,所对应的格范畴和对应的闭包系统范畴是范畴等价的. 相似文献
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本文利用Fuzzy格的代数性质,从L-fuzzy拓扑的层次结,构入手,定义了闭包保层空间,藉助于它给出了满层L-fuzzy拓扑空间的闭包算子与乘积算子可交换的等价条件,并证明了:若乘积L-fuzzy拓扑空间的每个因子空间都是诱导的,则闭包算子与乘积算子是可交换的,从而较好地解决了[2]中所提出的问题。 相似文献
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(α,β)-fuzzy Subalgebras of Q-algebras 总被引:1,自引:0,他引:1
Arsham Borumand Saeid 《模糊系统与数学》2008,22(1):54-61
In this note by two relations belonging to (∈) and quasi-coincidence (q) between fuzzy points and fuzzy sets,the notion of (α,β)-fuzzy Q-algebras,the level Q-subalgebra is introduced where α,β are any two of {∈,q,∈∨q,∈∧q} with α≠∈∧q.Then we state and prove some theorems which determine the relationship between these notions and Q-subalgebras.The images and inverse images of (α,β)-fuzzy Q-subalgebras are defined,and how the homomorphic images and inverse images of (α,β)-fuzzy Q-subalgebra becomes (α,β)-fuzzy Q-algebras are studied. 相似文献
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In this paper, we used the concept of (L, M)-fuzzy remote neighborhood system to study and establish the convergence theory of molecular nets. Next, we introduce the Ti-axioms (i = ?1, 0, 1, 2) in (L, M)-fuzzy topological molecular lattices, and discuss some of their characterizations. Finally, we show that the Ti-axioms (i = ?1, 0, 1, 2) are preserved under homeomorphisms. 相似文献
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I(L)型诱导空间的可数性 总被引:1,自引:0,他引:1
本文证明了(LX,δ)与其I(L)型诱导空间(I(L)X,ω(δ))的权,特征,浓度.Lindel?f度相等,(LX,δ)为Lindel?f空间当且仅当(I(L)X,σ(δ))为Lindel?f空间,且给出了(LX,δ)与(I(LX)ω(δ))的稠密集,稀疏集,第一纲集,第二纲集,Baire性质之间的关系. 相似文献
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In this paper, we introduce the notions of (∈, ∈∨q)-fuzzy subnear-ring, (∈, ∈∨q)-fuzzy ideal and (∈, ∈∨q)-fuzzy quasi-ideal of near-rings and find more generalized concepts than those introduced by others. The characterization of such (∈, ∈ ∨q)-fuzzy ideals are also obtained. 相似文献
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Jin Han Park Jong Seo Park Young Chel Kwun 《Fuzzy Optimization and Decision Making》2008,7(4):305-315
In this paper, we give some common fixed point theorems for five mappings satisfying some conditions in -fuzzy metric spaces. 相似文献
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The definition of an (ε, ε v q)-fuzzy subgroup is slightly modified and some of the fundamental properties of such fuzzy subgroups are obtained. 相似文献