基于优势灰度的变精度粗糙集模型及应用

doi:10.16381/j.cnki.issn1003-207x.2017.02.020

中国管理科学 ›› 2017, Vol. 25 ›› Issue (2): 180-186.doi: 10.16381/j.cnki.issn1003-207x.2017.02.020

基于优势灰度的变精度粗糙集模型及应用

刘勇¹, Jeffrey Forrest², 熊晓旋¹, 刘思峰³

1. 江南大学商学院, 无锡 214122;
2. 宾州州立SR大学数学系, PA 16057;
3. 南京航空航天大学经济与管理学院, 南京 211106

收稿日期:2014-04-10 修回日期:2015-12-29 出版日期:2017-02-20 发布日期:2017-05-03
通讯作者: 刘勇(1985-),男(汉族),平舆人,江南大学商学院副教授,博士,研究方向:冲突分析、软计算,E-mail:clly1985528@163.com. E-mail:clly1985528@163.com
基金资助:
国家自然科学基金资助项目（71503103）；江苏省自然科学基金资助项目（BK20150157）；江苏省社会科学基金项目（14GLC008）；中央高校基本科研业务费专项基金（JUSRP11583，2015JDZD04）；江苏省研究生培养创新工程（SJLX16_0498；KYZZ16_0305）

Variable Precision Rough Set Model and Application Based on Dominance Grey Degree

LIU Yong¹, Jeffrey Forrest², XIONG Xiao-xuan¹, LIU Si-feng³

1. School of Business, Jiangnan University, Wuxi 214122, China;
2. Mathematics Department, Slippery Rock University of USA, Pennsylvania 16057, USA;
3. College of economics and management, Nanjing University of Aeronautics and Astronautics, Nanjing 211106, China

Received:2014-04-10 Revised:2015-12-29 Online:2017-02-20 Published:2017-05-03

摘要/Abstract

摘要： 由于客观世界的复杂性与不确定性以及人类认知的有限性，现实的决策信息系统总是包括大量的偏好信息、灰色信息、噪声数据，而基于传统粗造集方法难以有效处理。鉴于此，本文利用灰色系统的思想与方法，构建了一种基于优势灰度的变精度粗糙集模型。该方法，利用灰数和灰度的最新研究成果，提出优势灰度的概念，以其确定对象间的优势关系，并将基于优势灰度的优势关系代替变精度粗糙集的不可分辨关系，构建了优势变精度粗糙集模型，最后以实例验证了模型的有效性与适用性。结果表明，通过调整阀值参数，模型具有一定的容错能力，能够有效地提取决策规则，进行科学决策。

关键词: 偏好信息, 灰色信息, 优势灰度, 变精度粗糙集模型

Abstract: Due to the complexity and uncertainty of the physical world, as well as the limitation of human ability to comprehend, it is very difficult for the traditional rough set to effectively deal with the real decision making information system consisted of a lot of preference information, grey information and noise data. In view of this, the thought and method of the grey system is used to construct the variable precision rough set model based on dominance grey degree in the paper. The method, to begin with, based on the new results of the grey number and grey degree, the concept of dominance grey degree is proposed to determine the dominance relationship between objects, so that it is used to substitute for the indiscernibility relationship of variable precision rough set, and then the variable precision rough set model based on dominance grey degree is established, and then its natures are discussed, finally an examples is used to validate the effectiveness and applicability of the model. The result shows that the proposed model has a certain tolerant ability by adjusting the threshold parameter, and then it can realize the scientific decision-making by effectively extracting decision rules.

Key words: preference information, grey information, dominance grey degree, variable precision rough set model

中图分类号:

C934

刘勇, Jeffrey Forrest, 熊晓旋, 刘思峰. 基于优势灰度的变精度粗糙集模型及应用[J]. 中国管理科学, 2017, 25(2): 180-186.

LIU Yong, Jeffrey Forrest, XIONG Xiao-xuan, LIU Si-feng. Variable Precision Rough Set Model and Application Based on Dominance Grey Degree[J]. Chinese Journal of Management Science, 2017, 25(2): 180-186.

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基于优势灰度的变精度粗糙集模型及应用

Variable Precision Rough Set Model and Application Based on Dominance Grey Degree

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