摘要
在粗糙集和证据理论体系结构的基础上,分析粗糙集和证据理论中合成质量函数的不同方法,研究细分偏序格中划分与证据理论中的正交组合运算的关系。利用粒度分析细分偏序格上划分的变化情况,证明了在细分偏序格的上、下确界与所有上、下界所对应的划分中,获取的质量函数并不对应于证据理论中质量函数正交运算的结论,从而澄清了不同知识粒度下粗糙集中所有划分获取的质量函数与证据理论中正交运算之间的关系。
On the basis of architecture of rough set theory and evidence,this paper analyzes different methods of mass functions in rough set theory and evidence synthesis,and researches the relationship between the sub-division in partial sequence stratigraphic and evidence synthesis.According to the sub-division in partial sequence stratigraphic changes,this paper demonstrated that mass function which is got in the sub-division of supremum,infimum and all upper and lower bounds in the sub-partial order on the lattice,does not correspond to the mass function of evidence synthesis in evidence theory.Therefore,it clarifies the relationship between the mass function acquired from the sub-division in different knowledge granularity levels and mass function got from evidence theory.
出处
《计算机科学》
CSCD
北大核心
2012年第12期214-215,236,共3页
Computer Science
基金
国家自然科学基金项目(61173052)
湖南省自然科学基金项目(11JJ504)资助
关键词
划分
细分偏序格
粒度
质量函数
Division
Partial sequence stratigraphic subdivision
Granularity
Mass function
