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基于异或软集合的不完备信息系统约减

Exclusive Disjunctive Soft Sets Based Attributes Reduction in Incomplete Information System
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摘要 软集合理论是处理不确定问题的一种新兴数学理论.作为软集合重要的应用领域之一,软集合的参数约减的研究大都基于完备信息系统.介绍了异或软集合的改进运算以及异或软集合决策系统,提出了一种基于异或软集合的不完备信息系统约减方法,同时与拓扑方法相比较.结果表明,算法得出的约减软集合是拓扑法求出的约减软集合的一个子集,即该算法在对数据刻画方面较为细致和全面. Soft sets theory is a newly emerging tool to deal with uncertain problems. The parameters reduction of soft set is an important issue of soft set theory. At present, methods of parameters reduction for soft set are based on the maximum option of parameter. This paper defined the improved operations of exclusive disjunctive soft sets and introduced the concept of exclusive disjunctive soft decision system. Moreover, this paper proposed a method of exclusive disjunctive soft sets based attributes reduction in incomplete information system （EDSRI）, and compared it with topological spaces based reduction. The result shows that the reduct soft set obtained by EDSRI is a subset of that obtained by topological method. It indicates that EDSRI can depict data more precisely and comprehensively.
作者 龚科 王盼盼 许茂增
机构地区 重庆交通大学管理学院
出处 《数学的实践与认识》 CSCD 北大核心 2013年第7期57-67,共11页 Mathematics in Practice and Theory
基金 教育部人文社会科学青年基金项目(12YJC630053) 重庆市自然科学基金(cstcjja30007) 重庆市教委科学技术项目(KJ110414)
关键词 异或软集合 参数约减 不完备信息系统 改进依赖度 exclusive disjunctive soft set attributes reduction incomplete information system improved dependency
分类号 O144 [理学—基础数学]
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参考文献38

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二级参考文献26

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数学的实践与认识
2013年 第7期

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