Visual Programming of the Area Ratio Method

Maxim V. Bobyr, N. I. Khrapova
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Abstract

Purpose of research. Investigation of the relationship between the input and output characteristics of a fuzzy logic system based on the application of the area ratio method. The description of the specified method and the results obtained during modeling in a tabular processor is carried out using the means of illustrative presentation of information – visual programming.Methods. To study the area ratio method, we considered a fuzzy logic model containing two input variables with three triangular membership functions and one output variable with five triangular membership functions. A database of fuzzy rules has been formed. The degrees of activation of the output terms were determined using the minimax rule of output L. Zadeh. The defuzzification of the values was carried out using a model based on the area ratio method.Results. There are advantages of the area ratio method over traditional models, which consist in the ability to compensate for the main disadvantage - narrowing the defazzification interval. Using the proposed method, the possibility of using different numbers of variables on the input and output membership functions is studied. The results of experimental studies have shown that combining the parameters allows us to create a visual representation of the characteristics between the input and output variables.Conclusion. This article describes the area ratio method, which allows us to visualize the relationship between input and output variables. There are the main results of numerical modeling reflecting the specifics of the method. The study was conducted through visual programming, which provides a number of advantages, such as improving the quality of the software product, ensuring a clear structuring of the task and accessibility to human perception.
面积比法的可视化编程
研究目的在应用面积比方法的基础上,研究模糊逻辑系统的输入和输出特性之间的关系。在表格处理器中对特定方法和建模过程中获得的结果进行描述时,使用了信息的说明性呈现手段--可视化编程。为了研究面积比方法,我们考虑了一个模糊逻辑模型,其中包含两个具有三个三角形成员函数的输入变量和一个具有五个三角形成员函数的输出变量。我们建立了一个模糊规则数据库。输出项的激活度使用 L. Zadeh 的最小输出规则确定。使用基于面积比方法的模型对数值进行了去模糊化处理。与传统模型相比,面积比方法的优点在于能够弥补主要缺点--缩小去模糊化区间。利用所提出的方法,研究了在输入和输出成员函数上使用不同数量变量的可能性。实验研究结果表明,将参数组合在一起可以直观地显示输入和输出变量之间的特征。本文介绍了面积比方法,通过该方法我们可以直观地了解输入和输出变量之间的关系。数值建模的主要结果反映了该方法的特殊性。研究是通过可视化编程进行的,可视化编程有许多优点,如提高软件产品的质量,确保任务结构清晰,易于人类感知。
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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