模糊值函数的R-S积分和广义Hukuhara微分  

The Fuzzy Riemann-Stieltjes Integral and the Generalized Hukuhara Derivatives

作　　者：亢琳 郭元伟[2] Kang Lin;Guo Yuanwei(Jiangsu Normal University Kewen College,Xuzhou 221116,China;Taiyuan Institute,Taiyuan 030032,China)

机构地区：[1]江苏师范大学科文学院,江苏徐州221116 [2]太原学院数学系,山西太原030032

出　　处：《廊坊师范学院学报（自然科学版）》2021年第4期15-18,共4页Journal of Langfang Normal University(Natural Science Edition)

摘　　要：借助于区间值函数(RS)积分,给出模糊值函数Riemann-Stieltjes积分的概念,讨论其性质。定义模糊值函数关于实值增函数g(x)的广义Hukuhara微分,研究模糊Riemann-Stieltjes积分的原函数性质。In this paper,the Riemann-Stieltjes integral for fuzzy number-valued functions was defined and characterized by using the(RS)integral concept for interval-valued functions.In addition,generalized Hukuhara derivatives for fuzzy number-valued functions was given.Furthermore,the differentiability of the primary functions of the fuzzy Riemann-Stieltjes integral were discussed.

关 键 词：模糊值函数 模糊Riemann-Stieltjes积分 广义Hukuhara微分 

分 类 号：O159[理学—数学]