摘要
由属性值贴近度和阈值λ可构建λ-容差关系,利用此λ-容差关系可定义直觉模糊决策信息系统属性约简的λ-可辨识矩阵,进一步可定义λ-辨识公式,最后通过λ-辨识公式的极小析取范式可以唯一确定直觉模糊决策信息系统所有的相对约简,从而可成功地解决求解直觉模糊决策信解息系统属性约简问题.
Using the similarity measure of attribute values and threshold value λ, λ- tolerance relation can be constructed. In intuitionistic fuzzy decision information systems, λ- discernibility matrix can be constructed by λ-tolerance relation. Furthermore, λ-identification formula is presented. Finally, all relative reductions of intuitionistic fuzzy decision information systems are uniquely determined by the minimal disjunctive normal form of λ- identification formula.Therefore, the attribute reduction problems of intuitionistic fuzzy decision information systems are successfully solved.
出处
《数学的实践与认识》
北大核心
2016年第13期148-153,共6页
Mathematics in Practice and Theory
基金
国家自然科学基金(11401128)
广西自然科学基金(2012GXNSFBA053013
2013GXNSFAA019003)
广西高等学校科学研究项目(KY2015LX118)
桂林理工大学博士科研启动基金(002401003452)
应用统计重点实验室(桂教科研[2014]6号)
统计学广西重点学科(桂教科研[2013]16号)
应用统计广西财政资助的专业学位授权点建设项目(桂学位[2014]3号)
关键词
直觉模糊决策信息系统
属性约简
属性值贴近度
阈值
intuitionistic fuzzy decision information systems
attribute reductions
similarity measure of attribute values
threshold value
