共查询到20条相似文献,搜索用时 78 毫秒
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定义了n维模糊向量的模糊距离、n维模糊度量空间及其完备性的概念,实现了用R上的模糊数度量模糊向量间距离的目的,不仅使得模糊距离的度量更加合理、更加贴切,也创立一套独立于实数的模糊数学分析理论打下了基础。 相似文献
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信用分类是信用风险管理中一个重要环节,其主要目的是根据信用申请客户提供的资料从申请客户中区分出可信客户和违约客户,以便为信用决策者提供决策依据.为了正确区分不同的信用客户,特别是违约客户,结合核主元分析和支持向量机算法构造基于核主元分析的带可变惩罚因子最小二乘模糊支持向量机模型对信用数据进行了分类处理.在基于核主元分析的带可变惩罚因子最小二乘模糊支持向量机模型中,首先对样本数据进行预处理,然后利用核主元分析以非线性方式降低数据的维数,最后利用带可变惩罚因子最小二乘模糊支持向量机模型对降维后数据进行分类分析.为了验证,选择两个公开的信用数据集来进行实证分析.实证结果表明:基于核主元分析的带可变惩罚因子最小二乘模糊支持向量机模型取得了较好的分类结果,可为信用决策者提供重要的决策参考依据. 相似文献
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本文利用向量分解,分别在二维有界多连通区域和二维无界区域里研究了TE,TM模型.我们发现,对初始条件作一些正则性假设的前提下,TE,TM模型和Darwin模型是等价的. 相似文献
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为研究平面或空间模糊几何问题的需要,在平面或空间模糊点的背景下,给出了O型模糊数的概念,它是一类二维实数域上的模糊集,同时给出了O型模糊数的二维模糊结构元表示方法.二维模糊数的结构元方法,可以使O型模糊数的运算变成普通实数与模糊结构元之间的运算,使得过去必须依赖扩张原理和表现定理来刻画的模糊数运算变得更加简单与直观,不仅仅为模糊分析计算的简化提供了工具,也为二维实数域上模糊分析理论与应用的研究开创了一条新的途径. 相似文献
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本文在(1)的基础上给出了模糊基的另一种构造方法,由此得到了模糊基的判定方法。研究了基的μ值分布状况,最后给出了模糊向量空间维数的计算方法。 相似文献
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连续型随机向量联合熵的离散方差分离估计 总被引:1,自引:0,他引:1
提出了一种"离散方差分离"法,用于连续型随机向量联合熵的估计.方法分为"方差分离"和"离散"两个步骤.前者通过分离"标准熵"与"标准差对数和"来避免维数灾害;后者通过各分量的"最佳分割数"来离散连续型随机向量,从而避开了联合密度估计.仿真实验表明:该方法以很低的计算复杂度,准确地逼近了理论值. 相似文献
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In this paper, the authors proved that finding all solutions of a given multivariate polynomial system is equivalent to solving a relative joint eigenvalue problem(Theorem 1) and in some cases one can find all solutions of the given system from the eigenvalues and vectors of one matrix or matrix pencil (Theorem 2). Especially the situation that the ideal generated by the given system is 0-dimensional is discussed. 相似文献
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Shan ZhaoXue-ping Wang 《Fuzzy Sets and Systems》2011,182(1):93-100
This paper investigates the cardinality of a basis in semilinear spaces of n-dimensional vectors over join-semirings. First, it introduces the notion of an irredundant decomposition of an element in a join-semiring, then discusses the cardinality of a basis and proves that the cardinality of each basis is n if and only if the multiplicative identity element 1 is join-irreducible. If 1 is not a join-irreducible element then each basis need not have the same number of elements in semilinear spaces of n-dimensional vectors over join-semirings. This gives an answer to an open problem raised by Di Nola et al. in their work [Algebraic analysis of fuzzy systems, Fuzzy Sets and Systems 158 (2007) 1-22]. 相似文献
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基于熵权的城乡结合部地域特征属性模糊界定研究 总被引:10,自引:0,他引:10
准确界定地域特征属性是制定加快城乡结合部科学发展策略的前提。本文在述评前人关于城乡结合部地域范围划分研究成果的基础上,提出了城乡结合部地域特征属性划分研究的新思路,构建出了基于熵技术的城乡结合部地域特征属性模糊界定方法。对北京城乡结合部内4个地域单元的地域特征属性界定结果表明,城乡结合部的地域特征属性与空间属性不完全一致,初步印证了本文构建的方法的科学性和有效性。 相似文献
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Chao-Ming Hwang Miin-Shen Yang Wen-Liang Hung E. Stanley Lee 《Mathematical and Computer Modelling》2011,53(9-10):1788-1797
Similarity measures of type-2 fuzzy sets are used to indicate the similarity degree between type-2 fuzzy sets. Inclusion measures for type-2 fuzzy sets are the degrees to which a type-2 fuzzy set is a subset of another type-2 fuzzy set. The entropy of type-2 fuzzy sets is the measure of fuzziness between type-2 fuzzy sets. Although several similarity, inclusion and entropy measures for type-2 fuzzy sets have been proposed in the literatures, no one has considered the use of the Sugeno integral to define those for type-2 fuzzy sets. In this paper, new similarity, inclusion and entropy measure formulas between type-2 fuzzy sets based on the Sugeno integral are proposed. Several examples are used to present the calculation and to compare these proposed measures with several existing methods for type-2 fuzzy sets. Numerical results show that the proposed measures are more reasonable than existing measures. On the other hand, measuring the similarity between type-2 fuzzy sets is important in clustering for type-2 fuzzy data. We finally use the proposed similarity measure with a robust clustering method for clustering the patterns of type-2 fuzzy sets. 相似文献
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V. T. Shevaldin O. Ya. Shevaldina 《Proceedings of the Steklov Institute of Mathematics》2017,296(1):175-185
A method for the construction of biorthogonal bases of multiwavelets from known bases of multiscaling functions is given. It is similar to the method presented in the author’s 2014 paper joint with N.I. Chernykh and is based on the same principle: the construction of multiwavelets based on k multiscaling functions employs an analog of the vector product of vectors in a 2k-dimensional space. 相似文献
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In this work, the classifications of fuzzy 3-dimensional vector spaces of fuzzy 4-dimensional vector space and fuzzy projective planes of fuzzy 3-dimensional projective space from fuzzy 4-dimensional vector space are given. 相似文献
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Fuzzy集的偏熵与关联熵 总被引:4,自引:0,他引:4
在文献[1]的基础上,推广模糊熵的概念。首次定义Fuzzy集的偏熵、关联熵和关联熵系数等新概念。对其主要性质进行讨论,并与模糊散度建立联系.得到一些重要结果。 相似文献
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区别度诱导的广义模糊熵 总被引:1,自引:1,他引:0
广义模糊熵是模糊熵在广义模糊补意义下的推广,本文从区别度的角度给出几个生成广义模糊熵的途径;通过一个具体的区别度公式得到了相应的一些广义模糊熵表达式,为实际使用广义模糊熵做了一些理论上的铺垫. 相似文献