线性相关模糊数空间中的模糊Laplace变换  

Fuzzy Laplace Transform on the Space of Linearly Correlated Fuzzy Numbers

作　　者：郭元伟[1] 邵亚斌 GUO Yuanwei;SHAO Yabin(Department of Mathematics,Taiyuan University,Taiyuan 030032,China;College of Science,Chongqing University of Posts and Telecommunications,Chongqing 400065,China)

机构地区：[1]太原学院数学系,山西太原030032 [2]重庆邮电大学理学院,重庆400065

出　　处：《山西大学学报（自然科学版）》2023年第5期1013-1024,共12页Journal of Shanxi University(Natural Science Edition)

基　　金：国家自然科学基金(61806030,61876201);重庆市自然科学基金(cstc2019jcyjmsxmX0485,cstc2019jcyj-cxttX0002);重庆邮电大学前沿交叉研究项目(A2021-248);山西省高等学校科技创新项目(2022L581);太原学院一般科研项目(21TYKY03)。

摘　　要：本文在线性相关模糊数空间中给出了模糊Laplace变换的定义,对其性质进行了讨论,得到了实值函数与模糊值函数的卷积定理。最后,借助模糊Laplace变换和卷积定理对模糊Volterra积分方程和一阶线性模糊微分方程进行了讨论,并给出具体的算例来验证其合理性。The fuzzy Laplace transform on the space of linearly correlated fuzzy numbers is concerned with in the paper,and the ba-sic properties of fuzzy Laplace transform are investigated.And,the fuzzy convolution theorem is obtained.Finally,fuzzy Volterra in-tegral equation and first-order linear fuzzy differential equations are studied by fuzzy Laplace transform presented in this article and some examples are given to prove it rationality.

关 键 词：线性相关模糊数 模糊Laplace变换 模糊卷积 模糊Volterra积分方程 模糊微分方程 

分 类 号：O159[理学—数学]