In this paper, we show that every classical inner product on a linear space induces the fuzzy inner product and fuzzy norm in the sense of Bag and Samanta. We prove the Cauchy-Schwarz inequality on fuzzy Hilbert spaces. We also define fuzzy frame on fuzzy Hilbert spaces. As is known, C...
1) Fuzzy Normed Linear Space Fuzzy赋范线性空间 1. Kakutani Fixed Point Theorem inFuzzy Normed Linear Space; 在Fuzzy赋范线性空间上引入多值映射的闭性概念与半连续概念,并建立了此空间上的Kaku-tani不动点定理。 2. Compactness and Completeness ofFuzzy Normed Linear Space; ...
1) Fuzzy Normed Linear Space 模糊赋范线性空间 1. Equicontinuity for Families of Quasi-homogeneous Operators in Fuzzy Normed Linear Spaces; 模糊赋范线性空间中准齐性算子族的等度连续性 更多例句>> 2) fuzzy normed space 模糊赋范空间 1. In this paper,the portray of the fuzzy boundedness and...
Following the definition of intuitionistic fuzzy n-norm [ 3 ], we have introduced the definition of intuitionistic fuzzy norm (in short IFN) over a linear space and there after a few results on intuitionistic fuzzy normed linear space and finite dimensional intuitionistic fuzzy normed linear space...
Fuzzy optimization for portfolio selection based on Embedding Theorem in Fuzzy Normed Linear SpacesFuzzy optimization for portfolio selection based on Embedding Theorem in Fuzzy Normed Linear SpacesEmbedding problemFuzzy optimizationFuzzy Banach SpacePortfolio...
K Narita,N Endou,Y Shidama - 《Formalized Mathematics》 被引量: 3发表: 2014年 THE RIESZ THEOREM IN LINEAR n-NORMED SPACES (eng) In this article, we considered bidual spaces and reflexivity of real normed spaces. At first we proved some corollaries applying Hahn-Banach theorem and sh......
2. Discussed of fixed point theorems in fuzzy seminormed spaces; 文中证明了模糊赋半范空间中的压缩映射原理的几个推广结论。2) fuzzy normed space 模糊赋范空间 1. In this paper,the portray of the fuzzy boundedness and continuity of fuzzy linear operators from a fuzzy normed space into ...
The motivation of this paper is to present a new and interesting notion of intuitionistic fuzzy n-normed linear space. Cauchy sequence and convergent seque... A Narayanan,S Vijayabalaji 被引量: 126发表: 2005年 Embedding of level-continuous fuzzy sets on Banach spaces correlation coefficientinterval...
First, a connection between fuzzy normed spaces defined by Felbin and certain \\v{S}erstnev PN spaces is established. We further observe that topological vector PN spaces are $F$-normable and paranormable, and also that locally ... B Lafuerza-Guillen,JL Rodriguez - 《Guillén》 被引量:...
Iterative Approximations of Fixed Points for Uniformly L-Lipschitz Mappings in Normed Linear Spaces 赋范线性空间中一致L-Lipschitz映射的不动点迭代逼近 11. On the Alexandrov Problem of Conservative Distance Mapping in Linear (n,p)-norned Spaces 线性(n,p)-赋范空间中守恒映射的亚历山德罗夫问题(英...