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模糊微分的性质 被引量：1

Properties of fuzzy differential
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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. 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 lay a theoretical foundation for calculation and application of the fuzzy differential equation.
作者 尤翠莲 王伟卿
机构地区 河北大学数学与信息科学学院
出处 《河北大学学报（自然科学版）》 CAS 北大核心 2015年第2期113-117,共5页 Journal of Hebei University(Natural Science Edition)
基金 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资助项目(Y2012021)
关键词 模糊过程 模糊微分 中值定理 复模糊过程 fuzzy process fuzzy differential mean value theorem complex fuzzy process
分类号 O159 [理学—基础数学]
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参考文献19

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二级参考文献9

  • 1ZADEH L A. Fuzzy sets[J]. Information and Control, 1965,8 : 338- 353.
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河北大学学报（自然科学版）
2015年 第2期

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