Please Scroll down for Article International Journal of General Systems Comparative Study of Decision Performance of Decision Tables Induced by Attribute Reductions Comparative Study of Decision Performance of Decision Tables Induced by Attribute Reductio

Please Scroll down for Article International Journal of General Systems Comparative Study of Decision Performance of Decision Tables Induced by Attribute Reductions Comparative Study of Decision Performance of Decision Tables Induced by Attribute Reductio
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W Wei;Wei Wei-Wei;Jiye Liang;Y. Qian;Feng Wang;C. Dang;Hong Kong;Wei Liang;Wang;Feng
W Wei;Wei Wei-Wei;Jiye Liang;Y. Qian;Feng Wang;C. Dang;Hong Kong;Wei Liang;Wang;Feng
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作者:
W Wei;Wei Wei-Wei;Jiye Liang;Y. Qian;Feng Wang;C. Dang;Hong Kong;Wei Liang;Wang;Feng

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本文可用于研究、教学和私人学习目的。明确禁止以任何形式对本网站进行大量或系统的复制、再分发、转售、出借或再许可、系统供应或分发。出版商不提供任何明示或暗示的保证,也不表示内容将是完整的、准确的或最新的。任何说明书、配方和药物剂量的准确性都应通过第一手资料进行独立验证。出版商不对任何直接或间接与使用本材料有关或因使用本材料而引起的损失、诉讼、索赔、诉讼、要求或费用或损害承担责任。所给出的属性约简方法决定了约简后决策表的决策性能,对实际应用中规则提取方法的选择具有指导意义。本研究的目的是比较正区域约简、香农熵约简和梁熵约简的决策性能。本文首先研究了正区域约简、Shannon熵约简和Liang熵约简之间的关系。然后,通过确定性测度、一致性测度和支持度测度三个评价指标,系统地分析了这三种约简方法对决策表决策性能的影响机制。最后,通过数值实验,验证了上述三种属性约简下决策表决策性能的变化机制。1.粗糙集理论是由Pawlak于1982年提出的。近年来,它已成为模式识别、图像处理、特征选择、神经计算、冲突分析、决策支持、数据挖掘和大数据集的知识发现处理的一个流行的数学框架。许多类型的属性归约技术已经在我们的开发中,我们简要回顾了其中的一些技术。Skowron和Rauszer(1992)提出了一种基于可拓矩阵的属性约简算法,该算法可以求出所有的约简。然而,它只适用于小数据集,因为该算法是非常耗时的。
This article may be used for research, teaching and private study purposes. Any substantial or systematic reproduction, redistribution , reselling , loan or sub-licensing, systematic supply or distribution in any form to anyone is expressly forbidden. The publisher does not give any warranty express or implied or make any representation that the contents will be complete or accurate or up to date. The accuracy of any instructions, formulae and drug doses should be independently verified with primary sources. The publisher shall not be liable for any loss, actions, claims, proceedings, demand or costs or damages whatsoever or howsoever caused arising directly or indirectly in connection with or arising out of the use of this material. The given attribute reduction approach decides the decision performance of a reduced decision table, which can give a guidance for selecting one rule-extraction method in practical applications. The objective of this study is to compare the decision performance of positive-region reduction, Shannon entropy reduction and Liang entropy reduction. In this paper, the relationships between positive-region reduction, Shannon entropy reduction and Liang entropy reduction are first investigated. Then, by means of three evaluation indices (certainty measure, consistency measure and support measure), we systemically analyse these change mechanisms for decision performance of a decision table induced by each of these three types of reduction approaches. Finally, by numerical experiments, these change mechanisms of a decision table's decision performance are verified for the above-mentioned three attribute reductions. 1. Introduction Rough set theory was proposed by Pawlak in 1982. Recently, it has become a popular mathematical framework for pattern recognition, image processing, feature selection, neuro computing, conflict analysis, decision support, data mining and knowledge discovery processing from large data-sets In recent years, more attention has been paid to attribute reduction in information systems and decision tables. Many types of attribute-reduction techniques have been For our development, we briefly recall some of these techniques. Skowron and Rauszer (1992) proposed an attribute-reduction algorithm using a discernibility matrix, which can find all reducts. However, it only works in small data-sets because the algorithm is very time consuming.