灰色关联度新定义的研究

IF 1 4区工程技术 Q4 MATHEMATICS, INTERDISCIPLINARY APPLICATIONS Journal of Grey System Pub Date : 2006-12-01 DOI:10.30016/JGS.200612.0005

Sifeng Liu, Zhigeng Fang, Yi Lin

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引用次数: 35

摘要

本文在邓巨龙教授灰色关联度定义的基础上，给出了灰色关联度绝对值的新定义。提出并证明了一种新的灰色关联度的简化计算方法。研究了灰色关联度的新定义的性质。与原定义相比，新定义具有如下优点:(1)满足对称性质;(2)灰色关联顺序保持稳定;(3)计算量更小等。

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 a New Definition of Degree of Grey Incidence

Based on the definition of degree of grey incidence, which put forward by Professor Ju-Long Deng, a new definition of absolute degree of grey incidence is given in this paper. And a simplified method to calculate the new absolute degree of grey incidence is put forward and proved. The properties of the new definition of absolute degree of grey incidence are studied. Compared with the original definition, the new definition has many advantages such as (1) satisfies the properties of symmetry, (2) the order of grey incidences remain stable, and (3) with smaller amount of computation, etc.

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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.

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