Fuzzy-logic Color Recognition System Using a Fast Defuzzifier

S. Emelianov, Maxim V. Bobyr, B. A. Bondarenko
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Abstract

Purpose of research. The research presented in this article is aimed at improving the accuracy of determining the color shade. The developed fuzzy-logical color recognition system was used as the subject of the study. The efficiency indicator was the result of calculating the sensitivity area percentage and RMSE of the developed method.Methods. A method based on fuzzy logic has been developed and implemented, namely, on the structure of Mamdani's fuzzy inference, which consists of the following stages: fuzzification, fuzzy logical inference, defuzzification. Triangular membership functions were used at the fuzzification stage. As a compositional rule, 12 input variables were used, combined on the basis of Zadeh's compositional rule in 27. At the defuzzification stage, the area ratio method was used. The object of the study was the developed mathematical model for determining color.Results. A mathematical model has been developed, consisting of 4 steps, which guarantees a clear definition of 9 colors and their shades. Based on the estimation of the root of the mean square error, it was concluded that the proposed model is better than traditional options. It is expressed by the fact that the developed method reacts on the interval of the entire surface of output variables, while traditional methods have dead zones to changes in input variables.Conclusion. A fuzzy-logical color recognition system was developed. In the course of experimental studies, it was found that the RMSE and sensitivity indicators have better results in relation to other systems.
基于快速去模糊化的模糊逻辑颜色识别系统
研究目的。本文的研究旨在提高色度测定的准确性。以开发的模糊逻辑色彩识别系统为研究对象。效率指标为计算该方法的灵敏度面积百分比和均方根误差。本文提出并实现了一种基于模糊逻辑的方法,即基于Mamdani模糊推理的结构,该方法包括以下几个阶段:模糊化、模糊逻辑推理、去模糊化。在模糊化阶段采用三角隶属函数。作为组合规则,我们使用了12个输入变量,它们是在27中的Zadeh组合规则的基础上组合而成的。在去模糊阶段,采用面积比法。本研究的目的是建立测定颜色的数学模型。建立了一个数学模型,由4个步骤组成,保证了9种颜色及其深浅的清晰定义。通过对均方误差的均方根估计,得出了该模型优于传统模型的结论。这表现为所开发的方法对输出变量的整个表面的区间起作用,而传统方法对输入变量的变化有死区。开发了一种模糊逻辑色彩识别系统。在实验研究过程中发现,相对于其他系统,RMSE和灵敏度指标都有较好的效果。
本文章由计算机程序翻译,如有差异,请以英文原文为准。
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