基于异或软集合的不完备信息系统约减

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.

Exclusive Disjunctive Soft Sets Based Attributes Reduction in Incomplete Information System

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.