二元模糊值函数的导数和模糊波动方程

于兰芳; 马树华; 宋泽成; 滕文凯

doi:10.3969/j.issn.1000-1565.2009.05.006

河北大学学报(自然科学版) >

2009 , Vol. 29 >Issue 5: 466 - 468

DOI: https://doi.org/10.3969/j.issn.1000-1565.2009.05.006

二元模糊值函数的导数和模糊波动方程

于兰芳 ,
马树华 ,
宋泽成 ,
滕文凯

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承德民族师范专科学校数学系,河北承德,067000

网络出版日期: 2009-09-25

基金资助

河北省青年科学基金

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Differential of Fuzzy Functions with Two Variables and Fuzzy Wave Equations

YU Lan-fang ,
MA Shu-hua ,
SONG Ze-cheng ,
TENG Wen-kai

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Online published: 2009-09-25

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摘要

首先给出了一元模糊值函数微分的概念,研究了模糊值复合函数的求导法测,然后在此基础上,进一步给出了二元模糊值函数的偏导数概念,并研究了它们的一些性质定理;最后给出模糊波动方程的一种解法.

关键词： 二元模糊值函数; 模糊积分; 模糊微分; 模糊波动方程

本文引用格式

于兰芳 , 马树华 , 宋泽成 , 滕文凯 . 二元模糊值函数的导数和模糊波动方程[J]. 河北大学学报(自然科学版), 2009 , 29(5) : 466 -468 . DOI: 10.3969/j.issn.1000-1565.2009.05.006

参考文献

[1] 纪爱兵, 邱红洁, 谷银山, JI Ai-bing, QIU Hong-jie, GU Yin-shan. 基于模糊训练数据的支持向量机与模糊线性回归 [J]. 河北大学学报（自然科学版） 2008.doi:10.3969/j.issn.1000-1565.2008.03.006
[2] DUBOIS D, PRADE H. Toward fuzzy differential calculus, part Ⅰ, Ⅱ, Ⅲ [J]. Fuzzy Sets and Systems 1982.
[3] PURI M L, RALESCU D A. Differential of fuzzy function [J]. Journal of Mathematical Analysis and Applications 1983.
[4] DUBOIS D, PRADE H. On several definitions of the differential of fuzzy mapping [J]. Fuzzy Sets and Systems 1987.
[5] OSMO KALEVA. Fuzzy differential equations [J]. Fuzzy Sets and Systems 1987.
[6] H ANSEN E. Topic in interval analysis [M]. Oxford:Oxford University Press 1969.
[7] Zengtai Gong, Yabin Shao. Global Existence And Uniqueness Of Solutions For Fuzzy Differential Equations Under Dissipative-type Conditions [J]. Computers & Mathematics with Applications: An International Journal 2008, 10(10).
[8] RADSTROM H. An embedding theorem for space of convex sets [J]. Proceedings of the American Mathematical Society 1952.
[9] Chalco-Cano Y, Roman-Flores H. On new solutions of fuzzy differential equations [J]. Chaos, Solitons and Fractals: Applications in Science and Engineering: An Interdisciplinary Journal of Nonlinear Science 2008, 1(1).

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