模糊值函数的曲线积分

Fuzzy-Valued Functions Curvilinear Integral

针对扩张原理在模糊值函数曲线积分中的遍历性问题,根据模糊结构元理论给出了第一型模糊值函数曲线积分的定义.然后通过讨论平面模糊矢量的投影问题,给出了第二型模糊值函数曲线积分定义并对其相关性质进行了讨论.研究结果不仅丰富了模糊分析学理论,而且为具有不确定性因素的工程实践提供了方法依据.

For the expansion principle has crisp arguments on the curvilinear integral of fuzzy- valued functions, this paper presents the definition of the fuzzy-valued function＇s first form curvilineax integral based on the fuzzy structured clement. Then, it gives the definition and some properties of the fuzzy-valued function＇s second form curvilinear integral by discussing the projection of two-dimensional fuzzy vectors. The result not only enriches theories on fuzzy analysis, but also provides a basis for engineering practice.