n维m阶强预不变凸模糊数值函数及其应用  

n-dimensional m-order Stong Preinvex Fuzzy-number-valued Functions and Its Optimization

作　　者：白玉娟 刘坤 张琛 BAI Yu-juan;LIU Kun;ZHANG Chen(School of Mathematics and Statistics,Longdong University,Qingyang 745000,China)

机构地区：[1]陇东学院数学与统计学院,甘肃庆阳745000

出　　处：《数学的实践与认识》2020年第15期299-306,共8页Mathematics in Practice and Theory

基　　金：甘肃省高等学校创新能力提升项目(2019A-117);甘肃省自然科学基金(18JR3RM238);甘肃省高等学校科研项目(2018A-101)。

摘　　要：首先给出了n维m阶强预不变凸模糊数值函数的定义,其次结合本文所定义的上(下)半连续,在某种序意义下讨论了n维m阶强预不变凸模糊数值函数的若干判定定理,最后讨论了此类函数在模糊数学优化问题的应用.Firstly,the concepts of m-order stong preinvex of n-dimensional fuzzy-numbervalued functions are presented.Secondly,some judge theorems and a characterization of m-order stong preinvexity n-dimensional fuzzy-number-valued functions are obtained by the definition of upper(lower)semicontinuity of n-dimensional fuzzy-number-valued functions.Lastly,optimization problems with differentiable m-order stong preinvex of n-dimensional fuzzy-number-valued functions are described.

关 键 词：模糊数 上半连续 下半连续 强预不变凸性 

分 类 号：O159[理学—数学]