模糊映射次微分在最小值点集合上的性质及其运算  

The Property of Subdifferentials of Fuzzy Mapping on the Minimizer Set and their Calculation

作　　者：李成林[1] 刘志辉[1] 

机构地区：[1]云南大学数学系,云南昆明650091

出　　处：《云南民族大学学报（自然科学版）》2005年第4期296-298,322,共4页Journal of Yunnan Minzu University:Natural Sciences Edition

摘　　要：在模糊数空间中,介绍了模糊数及模糊映射次微分等概念,引入模糊数的加法与乘法运算法则及序关系,定义了锥N(C,x0),证明了模糊映射在最小值点集合上的性质.通过实例,利用模糊数的定义、运算法则、序关系和模糊映射次微分的定义及性质对模糊映射的次微分作了尝试性的计算.In fuzzy number space, we introduce concepts of fuzzy number and sudifferentials of fuzzy mapping, and calculating laws and relations of order of fuzzy number, definite the cone N（ C,x0） and verify the property of subdifferentials of fuzzy mapping on the minimizer set. Using definition, calculating laws and relations of order of fuzzy number and definition and properties of subdifferentials of fuzzy mapping we calculate the subdifferentials of fuzzy mapping.

关 键 词：模糊数 模糊映射 模糊次微分 最小值点集合 

分 类 号：O159[理学—数学]