n维模糊映射的s-预不变凸性及其优化  

n-dimensional s-preinvex Fuzzy-number-valued Functions and Its Optimization

作　　者：白玉娟 张琛 张丽丽 BAI Yujuan;ZHANG Chen;ZHANG Lili(School of Mathematics and Statistics, Longdong University, Qingyang 745000, Gansu)

机构地区：[1]陇东学院数学与统计学院,甘肃庆阳745000

出　　处：《四川师范大学学报（自然科学版）》2019年第1期98-103,共6页Journal of Sichuan Normal University（Natural Science）

基　　金：甘肃省高等学校科研项目(2018A-101)

摘　　要：首先提出n维模糊数值函数的s-不变凸、严格s-不变凸、s-预不变凸和半严格s-预不变凸的概念,其次利用n维模糊数值函数依支撑函数的可微性与梯度讨论以上广义凸性的关系,最后建立模糊优化问题(FMP)的最优化条件.Firstly,the concepts of s-invexity,strict s-invexity,s-preinvexity and semi-stric s-preinvexity of n-dimensional fuzzy-number-valued functions are presented.Secondly,the relationships of these generalized convexity are characterized by the differentiability and gradient of support function.Lastly,optimization problems with differentiable fuzzy-number-valued functions are described.

关 键 词：模糊数 模糊数值函数 预不变凸性 

分 类 号：O159[理学—数学]