基于贝塞尔曲线理论的备件需求模糊隶属度函数构建模型

A Model for the Construction of Spare Parts Demand Fuzzy Membership Function Based on BéZier Curves Theory

用模糊理论描述备件需求是一种科学适用的方法,针对现有模糊变量隶属度函数构建方法的不足,设计了基于贝塞尔曲线理论的备件需求模糊隶属度函数构建方法,给出了隶属度求解算法,分析了使拟合误差最小的控制点选择方法。同时通过实例验证以及与最小二乘法的对比分析,验证了贝塞尔曲线方法在构建备件需求模糊隶属度函数方面的有效性。此方法无需事先假设隶属度函数的形态,简单易用、使用灵活并且精度较高。

It is a scientific and practical way to describe the uncertain demand for spare parts by fuzzy theory.This paper proposes a Bezier curve-based model for constructing demand membership function considering some problems existing in the current methods.At the same time,algorithms to obtain membership function are given and the way to choose control points,which minimizes the errors between the fitted membership function and the empirical data,is analyzed.At last,in comparison with least squares fitting method by a numeric example,the feasibility and the superiority of the proposed method for constructing spare parts demand are verified.The advantages of this approach are its easiness of use,flexibility and high accuracy without a priori assumption of the shape of the function.