模糊微分的性质

doi:10.3969/j.issn.1000-1565.2015.02.001

河北大学学报(自然科学版) ›› 2015, Vol. 35 ›› Issue (2): 113-117.DOI: 10.3969/j.issn.1000-1565.2015.02.001

• 数学与力学 • 下一篇

模糊微分的性质

尤翠莲，王伟卿

河北大学数学与信息科学学院，保定 071002

收稿日期:2014-10-08 修回日期:2014-12-10 出版日期:2015-03-25 发布日期:2015-03-25
通讯作者: 尤翠莲
作者简介:尤翠莲（１９７７），女，河北唐山人，河北大学副教授，博士，主要从事不确定理论与模糊微分方程的研究．
基金资助:
国家自然科学基金资助项目（11201110；61374184；11101115）；河北省高等学校优秀青年基金项目（Y2012021）

Properties of fuzzy different

YOU Cuilian,WANG Weiqing

College of mathematics and information science,Hebei University,baoding 071002

Received:2014-10-08 Revised:2014-12-10 Online:2015-03-25 Published:2015-03-25
Contact: YOU Cuilian

摘要/Abstract

摘要： 在求解由刘过程驱动的模糊微分方程时，需要研究一类新的模糊微分（刘微分）的性质．给出了模糊微分的２个中值定理和４个模糊微分公式，并且将这些结论推广到复模糊微分的情形．这些工作为模糊微分方程理论的完善和应用奠定了基础．

关键词: 模糊过程, 模糊微分, 中值定理, 复模糊过程

Abstract: To solve fuzzy differential equation driven by Liu process， some properties of a new kind of fuzzy differential (Liu differential) are needed. Two mean value theorems of fuzzy differential and four fuzzy differential formulas are given in this paper. Furthermore， these conclusions are extended to the case of complex fuzzy process. The studies above laid a theoretical foundation for calculation and application of the fuzzy differential equation.

Key words: fuzzy process, fuzzy differential, mean value theorem, complex fuzzy process

中图分类号:

Ｏ１５

尤翠莲，王伟卿. 模糊微分的性质[J]. 河北大学学报(自然科学版), 2015, 35(2): 113-117.

YOU Cuilian,WANG Weiqing. Properties of fuzzy different[J]. Journal of Hebei University (Natural Science Edition), 2015, 35(2): 113-117.

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模糊微分的性质

Properties of fuzzy different

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