摘要
介绍具有有界支撑且严格模糊凸的模糊数,并且给出模糊数的双参数表示。在此参数表示下,模糊数可直接视为二维度量空间R2中的有界连续曲线,这给分析模糊微分方程带来了便利。有了参数表示,可以用与实分析类似的方法讨论模糊函数的微分和积分,进而研究模糊微分方程的初值问题的解的存在性与唯一性。
The fuzzy numbers with bounded support and strictly fuzzy convexity is introduced and the couple parametric representation of fuzzy numbers is given. By the parametric representation, fuzzy number means a bounded continuous curve in the two - dimensional metric space R2, so that it is easy to analyze fuzzy differential equations. By the representation it is discussed the differential and integral of fuzzy functions in the similar way to the real a- nalysis. In addition, the existence and uniqueness of solutions to initial value problems of fuzzy differential equations are discussed.
出处
《黑龙江大学自然科学学报》
CAS
北大核心
2008年第2期222-224,共3页
Journal of Natural Science of Heilongjiang University
关键词
模糊微分方程
初值问题
参数表示
fuzzy differential equations
initial value problems
parametric representation
