三角形类别判定方法新探
A New Approach to Triangle Category Determination
摘要
在当今时代三角形的模糊识别处处离不开，传统方法通过三角形隶属函数计算隶属度根据最大隶属度原则来判定三角形的类型。但此方法判别的准确性并不高，因此在本文对三角形类别的判定方法做出改进建立新的判定函数。对三角形类型的判定先从定义出发总结出各类三角形的判定定义，再对不同类别的三角形划分为三级每一级通过判定定义将角度判定等价转换为函数的形式。最后将三级的函数整合建立出内角函数判别法的主函数，将主函数输入给MATLAB，计算机通过此函数根据三角形的内角即可得到其类别。
Abstract
In today\'s era, fuzzy identification of triangles is indispensable everywhere, and the traditional method is to determine the type of triangles by calculating the degree of affiliation through the triangle affiliation function according to the principle of maximum degree of affiliation. However, the accuracy of this method is not high, therefore, in this paper, we improve the method of determining the category of triangles to establish a new determination function. Determination of the type of triangle from the definition of the first summarize the definition of all types of triangles, and then different categories of triangles are divided into three levels of each level by determining the definition of the angle of the judgment equivalent conversion into the form of a function. Finally, the functions of the three levels are integrated to establish the main function of the interior angle function of the method of discrimination, the main function is input to MATLAB, the computer through this function according to the interior angle of the triangle can be obtained by its category.关键词
隶属函数/隶属度/等价转换/内角函数判别法Key words
Affiliation function/Degree of affiliation/Equivalence transformation/Inner angle function discriminant method引用本文复制引用
刘海涛,何凯,孙渝景,周钰明.三角形类别判定方法新探[EB/OL].(2023-10-23)[2026-04-04].http://www.paper.edu.cn/releasepaper/content/202310-34.学科分类
数学
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