关于模糊映射的LgH-方向可微性问题的研究  

Study on LgH-directional Differentiability Problems of Fuzzy Mapping

作　　者：李婷婷 包玉娥 LI Ting-ting;BAO Yu-e(College of Mathematics and Physics,Inner Mongolia University for Nationalities,Tongliao 028043,China)

机构地区：[1]内蒙古民族大学数理学院,内蒙古通辽028043

出　　处：《内蒙古民族大学学报（自然科学版）》2021年第3期190-197,共8页Journal of Inner Mongolia Minzu University：Natural Sciences

基　　金：内蒙古自然科学基金项目(2018MS01010);内蒙古民族大学研究生科研项目(NMDSS1945)。

摘　　要：对模糊映射的LgH-方向可微性问题进行了研究,给出了模糊映射的LgH-方向可微的概念及性质,同时讨论了模糊映射的LgH-方向可微性与gH-方向可微性之间的关系,得到了LgH-方向可微的几个必要条件,并证明了模糊映射的LgH-导数和LgH-偏导数均为沿特殊方向的LgH-方向导数.The LgH-directional differentiability problems of fuzzy mapping were studied.The concepts and prop⁃erties of LgH-directional differentiability of fuzzy mapping were given,and the relationship between LgH-direc⁃tional differentiability and gH-directional differentiability of fuzzy mapping was discussed.At the same time,sev⁃eral necessary conditions of LgH-directional differentiability were obtained,and it is proved that the LgH-deriva⁃tive and LgH-partial derivative of fuzzy mapping are both LgH-directional derivatives along with the special di⁃rection.

关 键 词：模糊映射 区间值映射 gH-方向可微性 LgH-方向可微性 

分 类 号：O159[理学—数学]