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模糊连续映射和开映射的新特征 总被引:2,自引:0,他引:2
给定模糊格L及LF拓扑空间(L^x,δ),对L的素元素r及分子a,在(L^x,δ)中引入了r-开集及α-闭集的概念。证明了所有的r-开集Or(δ)和α-闭集Ca(δ)分别形成一个LF拓扑和LF余拓扑,借助于它俩得到了LF连续映射和LF开映射的若干新特征。 相似文献
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引出半环中模糊点生成的模糊理想的定义,讨论了它的一些性质,并用它刻画了半环中素、半素、完全素、完全半素模糊理想,最后讨论了这几类理想的关系。 相似文献
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本文在L-fuzzy拓扑空间中,针对L-fuzzy子集定义子Mr-复盖及具有有限Mr交性质的闭集族等概念,并以此刻画了近良紧集的一组特性,证明了近良紧的对正则闭集遗传以及是“L-good extension”等结论。 相似文献
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首先在L-保序算子空间中引入层次ω-开集,讨论了它的一些基本性质;其次用层次ω-开集刻画了(ω_1,ω_2)-连续序同态和(ω_1,ω_2)-开序同态的一些新的特征性质. 相似文献
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Vague集的截集及其分解定理 总被引:1,自引:0,他引:1
从Fuzzy集的基本理论出发,提出了Fuzzy集的扩展形式—vague集的截集定义和分解定理,进一步表明了Fuzzy集和vague集的相同的本质,丰富了vague集的理论体系,以期拓宽vague集的应用领域. 相似文献
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The connections between Zadeh fuzzy set and three-valued fuzzy set are established in this paper. The concepts of interval-valued
level cut sets on Zadeh fuzzy set are presented and new decomposition theorems and representation theorems of Zadeh fuzzy
set are established based on new cut sets. Firstly, four interval-valued level cut sets on Zadeh fuzzy set are defined as
three-valued fuzzy sets and it is shown that the interval-valued level cut sets of Zadeh fuzzy set are generalizations of
normal cut sets on Zadeh fuzzy set, and have the same properties as those of normal cut sets of Zadeh fuzzy set. Secondly,
the new decomposition theorems are established based on these new cut sets. It is pointed out that each kind of interval-valued
level cut sets corresponds to two decomposition theorems. Thus eight decomposition theorems are obtained. Finally, the definitions
of three-valued inverse order nested sets and three-valued order nested sets are presented with eight representation theorems
based on new nested sets. 相似文献
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In this paper, characterizations of the set of solutions for VVI are presented by using scalarization approaches. The set of solutions of VVI is shown to be the set of weak sharpness for gap functions of some scalarization of VVI and for gap functions of VVI under semi-strong monotonicity. Some examples are given to illustrate these results. 相似文献
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Dong Li CHEN Jing Jing FENG Chun Hui MA .School of Science Xi’an University of Architecture Technology Shaanxi P.R.China .Department of Basic Courses Xi’an Peihua University Shaanxi 《数学研究与评论》2011,31(2)
In this paper,the closeness of the τ-standard part of a set is discussed.Some related propositions of the τ-neighborhood system of a set are given.And then some related conclusions of the τ-monad of a set and the τ-standard part of a set are presented.And based on it,the necessary and sufficient conditions of the enlarged model and the saturated model are showed.Finally,some sufficient conditions that the τ-standard part of a set is closed are proved in the enlarged model and the saturated model. 相似文献
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V E Krivonozhko O B Utkin A V Volodin I A Sablin 《The Journal of the Operational Research Society》2005,56(12):1373-1378
In this paper, we establish relations between the sets of input and output boundaries, a set of weakly Pareto-efficient points and the boundary of the production possibility set. Theoretical results presented in the paper are illustrated by examples. 相似文献
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AKNS族与Geng族的规范等价的约束流 总被引:1,自引:0,他引:1
先由AKNS族出发用规范变换建立了Geng族的约束流及它的第一组守恒积分和Lax表示,再用其Lax表示建立了Geng族约束流的r-矩阵。并且还给出了Geng族约束流的第二组守恒积分及其对合性的证明。 相似文献
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Xiaolong Qin Shih-sen Chang Yeol Je Cho 《Nonlinear Analysis: Real World Applications》2010,11(4):2963-2972
In this paper, we consider an iterative method for finding a common element of the set of a generalized equilibrium problem, of the set of solutions to a system of variational inequalities and of the set of fixed points of a strict pseudo-contraction. Strong convergence theorems are established in the framework of Hilbert spaces. The results presented in this paper improve and extend the corresponding results announced by many others. 相似文献
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In this paper,the closeness of the τ-standard part of a set is discussed.Some related propositions of the τ-neighborhood system of a set are given.And then some related conclusions of the τ-monad of a set and the τ-standard part of a set are presented.And based on it,the necessary and sufficient conditions of the enlarged model and the saturated model are showed.Finally,some sufficient conditions that the τ-standard part of a set is closed are proved in the enlarged model and the saturated model. 相似文献