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三角形识别方法新探
发表时间：2020-03-31 浏览量：1926 下载量：232
| 全部作者： | 赵瑞鑫，马世林，刘海涛 |
| 作者单位： | 辽宁工程技术大学理学院 |
| 摘 要： | 为解决传统三角形识别以及其他改进方法中，由于隶属函数的隶属度整体连续性造成的待识别三角形虽然不符合各类三角形的隶属条件，却空有“虚假”隶属度，与实际完全不符的情况，以及当一个三角形对多种类型的模糊模式均具有较高隶属度情况下依靠最大隶属度原则所得结果与人们实际意愿倾向不符的情况，本文将三角形的识别分类、分层，并对隶属函数进行分段，通过判别其是否符合模糊范围，来确定其是否具有模糊性，进而消除不合理的隶属度。将各类三角形看作符合特定条件的特例，由繁到简，依次对等边三角形、等腰直角三角形、等腰三角形、直角三角形及非典型三角形进行逐层筛选，确定其模糊范围，并结合最大隶属度原则确定待识别三角形种类。结果表明：改进方法所得的识别更加符合常理，有效解决了“虚假”隶属度问题，对于各种简单模式的模糊识别，具有一定的参考价值和指导意义。 |
| 关 键 词： | 模糊数学；分段隶属函数；最大隶属度；模糊范围；模糊性 |
| Title： | A new approach to triangle recognition |
| Author： | ZHAO Ruixin, MA Shilin, LIU Haitao |
| Organization： | School of Sciences, Liaoning Technical University |
| Abstract： | In order to solve the problems in traditional triangle recognition and other improved methods, because of the global continuity of membership degree of membership function, the triangle to be identified clearly does not meet the membership conditions of all kinds of triangles, but there is “false” membership degree, which is totally inconsistent with the actual situation. And when a triangle has a high degree of membership for many fuzzy modes, the results obtained by the maximum membership principle are inconsistent with people’s actual intention and inclination. In this paper, triangles are classified and stratified, and membership functions are segmented to determine whether they are fuzzy by judging if they conform to the fuzzy range, and then to eliminate unreasonable membership. Regarding all kinds of triangles as special cases that meet specific conditions, from complexity to simplicity, regular triangles, isosceles right triangles, isosceles triangles, right triangles and atypical triangles are screened step by step, to determine their fuzzy range and to determine the types of triangles to be identified by combining the maximum membership principle. The results show that the recognition obtained by the improved method conforms to common sense, and effectively solves the problem of “false” membership degree, which has certain reference value and guiding significance for the fuzzy recognition of various simple patterns. |
| Key words： | fuzzy mathematics; piecewise membership functions; the maximum membership; fuzzy range; fuzziness |
| 发表期数： | 2020年3月第1期 |
| 引用格式： | 赵瑞鑫，马世林，刘海涛. 三角形识别方法新探[J]. 中国科技论文在线精品论文，2020，13（1）：15-20. |
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