一些灰色关联分析模型的新特性研究

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

Journal of Grey System Pub Date : 2009-06-01 DOI:10.30016/JGS.200906.0004

J. Cui, Yao-guo Dang, Sifeng Liu

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引用次数: 5

摘要

本文的目的是进一步研究灰色关联分析算法的性质。在分析现有灰色关联分析算法及其性质的基础上，提出了灰色关联模型仿射变换等同性的新定义。其次，我们研究了一些灰色关联分析模型的这种新性质。最后，研究结果表明，广义关联分析、灰点关联分析、灰t型关联分析和灰率关联分析算法均满足该特性。这一结果丰富了灰色关联分析的理论体系。

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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Study on Novel Property of Some Grey Relational Analysis Models

The purpose of this paper is to further study the properties of algorithms for grey relational analysis. Based on analyzing of some existing algorithms for grey relational analysis and their properties, this paper firstly creates the novel definitions of affine transformation isotonicity of grey relational models. Secondly, we investigated this novel property of some models for grey relational analysis. Finally, the study result shows that the algorithms for general relational analysis, grey pointed relational analysis, grey T-mode relational analysis and grey rate relational analysis is satisfying the novel property. This result may enrich the theoretical system of grey relational analysis.

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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.