寻找不变结构的新灰色关联分析及其应用

IF 1 4区工程技术 Q4 MATHEMATICS, INTERDISCIPLINARY APPLICATIONS

Journal of Grey System Pub Date : 2005-12-01 DOI:10.30016/JGS.200512.0007

D. Yamaguchi, GuoDong Li, M. Nagai

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引用次数: 57

摘要

众所周知，灰色关联分析在许多领域都是一种有用的方法，并且由于使用的区分系数是固定的，因此呈现出各种各样的方法。本文提出了一种基于拓扑背景的灰色关联分析新方法，该方法具有3个特点:(1)灰色关联矩阵总是对称的;(2)与给定样本的阶关系遵循灰色关联等级;(3)区分系数能够找到给定数据集的不变结构。给出了IRIS数据集和WINE数据集两个仿真实例。该方法对传统的灰色关联分析方法进行了比较，对度量计算和灰色关联特性进行了比较。此外，它更清楚地获得了给定样品的顺序。最后给出了在模式识别、信息检索和感性工程中如何应用建议方法和区分系数的三个实例。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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New Grey Relational Analysis for Finding the Invariable Structure and Its Applications

Grey relational analysis is a useful method in many fields as well known, and is presented variously, since the distinguish coefficient is fixed on using. This paper proposes a new approach for grey relational analysis that is based on topological background, and this proposal method has 3 features: (1) Grey relational matrix is always symmetric, (2) Order relation of with given samples is followed grey relational grade, (3) Distinguish coefficient is able to find an invariable structure of given data set. Two simulation examples are given, such as IRIS data set and WINE data set. This proposal method is compared with traditional grey relational analysis, about metric calculation and grey relational characteristic. In addition, it has obtained the order of given samples more clearly. And three examples are also given to show how to use the proposal method and distinguish coefficient in pattern recognition, information retrieval, and kansei engineering.

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来源期刊

Journal of Grey System 数学-数学跨学科应用

CiteScore

2.40

自引率

43.80%

发文量

审稿时长

1.5 months

期刊介绍： The journal is a forum of the highest professional quality for both scientists and practitioners to exchange ideas and publish new discoveries on a vast array of topics and issues in grey system. It aims to bring forth anything from either innovative to known theories or practical applications in grey system. It provides everyone opportunities to present, criticize, and discuss their findings and ideas with others. A number of areas of particular interest (but not limited) are listed as follows: Grey mathematics- Generator of Grey Sequences- Grey Incidence Analysis Models- Grey Clustering Evaluation Models- Grey Prediction Models- Grey Decision Making Models- Grey Programming Models- Grey Input and Output Models- Grey Control- Grey Game- Practical Applications.