Application of a New Fuzzy Logic Model Known as "SMRGT" for Estimating Flow Coefficient Rate

Ayşe Yeter GÜNAL, Ruya MEHDİ
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Abstract

Since we all have our own set of limitations when it comes to perceiving the world and reasoning profoundly, we are constantly met with uncertainty as a result of a lack of information (lexical impression, incompleteness), as well as specific measurement inaccuracies. It has been found that uncertainty, which shows up as ambiguity, is the root cause of complexity, which is everywhere in the real world. Most of the uncertainty in civil engineering systems comes from the fact that the constraints (parameters) are hard to understand and are described in a vague way. The ambiguity comes from a number of sources, including physical arbitrariness, statistical uncertainty due to using limited information to estimate these characteristics, and model uncertainty due to using overly simplified methods and idealized depictions of actual performances. Thus, It is better to combine fuzzy set theory and fuzzy logic. Fuzzy logic is well-suited to modeling the indeterminacy and ambiguity that result from multiple factors and a lack of data. In order to improve upon a previous predictive model, this paper makes use of a smart model built on a fuzzy logic system (FLS). Precipitation, temperature, humidity, slope, and land use data were all taken into account as input variables in the fuzzy model. Toprak's original explanation of the simple membership function and fuzzy rules generation technique (SMRGT) was based on the fuzzy-Mamdani methodology, and used the flow coefficient as its output. The model's results were compared to available data. The following factors were considered in the comparison: 1) The maximum, minimum, mean, standard deviation, skewness, variation, and correlation coefficients are the seven statistical parameters. 2) Four types of error criteria: Mean Absolute Relative Error (MARE), Mean Square Error (MSE), Mean Absolute Error (MAE), and Root Mean Square Error (RMSE). 3) Scatter diagram.
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一种新的模糊逻辑模型“SMRGT”在估计流量系数率中的应用
因为在深刻地感知世界和推理时,我们都有自己的一套局限性,我们经常会因为缺乏信息(词汇印象、不完整)以及特定测量的不准确性而遇到不确定性。人们已经发现,表现为模棱两可的不确定性是复杂性的根源,而复杂性在现实世界中无处不在。土木工程系统的不确定性主要来自于约束条件(参数)难以理解和描述模糊。模糊性来自许多来源,包括物理随意性,由于使用有限的信息来估计这些特征而导致的统计不确定性,以及由于使用过度简化的方法和理想化的实际性能描述而导致的模型不确定性。因此,最好将模糊集合理论与模糊逻辑相结合。模糊逻辑非常适合于建模由多因素和缺乏数据引起的不确定性和模糊性。为了改进已有的预测模型,本文采用了基于模糊逻辑系统的智能模型。在模糊模型中,降水、温度、湿度、坡度和土地利用数据都作为输入变量。Toprak最初对简单隶属函数和模糊规则生成技术(SMRGT)的解释是基于fuzzy- mamdani方法,并使用流量系数作为其输出。该模型的结果与现有数据进行了比较。比较考虑以下因素:1)最大、最小、均值、标准差、偏度、变异、相关系数为7个统计参数。2)四种误差标准:平均绝对相对误差(MARE)、均方误差(MSE)、平均绝对误差(MAE)和均方根误差(RMSE)。3)散点图。
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