模糊逻辑函数的几何建模与图象运算

THE CONSTRUCTION OF GEOMETRICAL MODELS AND THE CALCULATION OF THE IMAGES ON FUZZY LOGICAL FUNCTIONS

本文是将逻辑空间图象理论发展至模糊逻辑的一次新的探讨。模糊逻辑中现有代数的及卡诺图一类的方法,在实际应用中比二值逻辑遇到更为严重的困难。因此,建立模糊逻辑函数的几何模型及图象计算,将几何与代数,形象思维与抽象思维相结合,系统地提出模糊逻辑的几何理论与图象算法,得到了一类模糊逻辑空间及其模糊点集图。

Connecting geometry with algebra and figurative thinking with abstract thinking, the presented ar-ticle has proposed a systematically geometrical theory and image-algorithm of fuzzy logic,thus obtai-ning a logical space with its fuzzy point-set image.It is tight in structure,clear in image and easy torecognize.As a result,it is convenient in calculation and its method is highly efficient for application.With the above advantages,the presented theory and method has clear-cut geometrical features andtherefore can be represented eigher coordinately or matrixically.