摘要
给出状态变权简化的等价条件,讨论状态变权的性质,给出若干由已知状态变权构造新状态变权的方法,证明了所有m维状态变权构成的集合关于加法、Hardarmard乘积、取大、取小运算都构成半群,并从等效性的角度讨论了新状态变权与原来状态变权的关系.
Some conditions and some properties of state variable weights are discussed. It is proved that the set of state variable weight is semi-group on addition, maximum, minimum and the Hadarmard product respectively. Some methods of constructing new state variable weights are given based on the results. The equivalence of constructed state variable weights and the original state variable weights are studied.
出处
《北京师范大学学报（自然科学版）》
CAS
CSCD
北大核心
2005年第4期334-338,共5页
Journal of Beijing Normal University(Natural Science)
基金
国家自然科学基金资助项目(60474023)
教育部博士点基金资助项目(20020027013)
教育部科学技术重点资助项目(03184)
数学天元基金资助项目(A0324639)
"九七三"国家重大基础研究规划资助项目(2002CB312200)
关键词
变权综合
状态变权
半群
状态变权的等效性分析
Multi-factor synthesis decision-making
state variable weights
semi-group
the equivalence of state variable weights
