Gully erosion and its complex and variable characteristics have led to challenging and many problems for creation of erosion maps with the most commonly used methods of satellite imagery analysis. The fuzzy algorithm-based object-based image analysis (OBIA) method is one of the most effective methods for classifying satellite imagery, which aims to integrate the spectral satellite imagery and provides the necessary facilities for the use of environmental and spatial information as well as a geometric feature of land surface phenomena. The purpose of this study was to apply and evaluate the implementation of different classification algorithms and fuzzy functions membership detecting and mapping of gully erosion. For this purpose, satellite images of Sentinel-2 were employed and accordingly the soil erosion map of Lighvan watershed was developed within the semi-automated approach by applying fuzzy-OBIA features and techniques. The obtained results from the accuracy assessment of the methods indicated that the accuracy of gully maps obtained by fuzzy-OBIA features including: length/width, asymmetry, density, and shape index algorithms with the respective kappa coefficient of 0.78, 0.91, 0.85, and 0.89 is higher than other algorithms. Also, the results obtained from the study of the degree of membership of fuzzy functions indicate the high role of this factor in the accuracy of the results, so that the highest classification accuracy (kappa coefficient greater than 0.91) was related to the length/width algorithm, in which the fuzzy functions B, D, H and L with the highest degree of membership (0.685, 1, 0.972 and 1, respectively) were employed. Results of current research are great of important for decision makers and authorities by means of providing detailed information regarding the soil erosion in the study area as well as GIS sciences society for applying and introducing the most efficient methods and techniques.

中文翻译：

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一种基于模糊对象的半自动图像分析方法应用于沟壑侵蚀检测和制图

沟渠侵蚀及其复杂多变的特征导致使用最常用的卫星图像分析方法创建侵蚀图具有挑战性和许多问题。基于模糊算法的基于对象的影像分析（OBIA）方法是卫星影像分类最有效的方法之一，其目的是整合光谱卫星影像，为环境和空间信息的利用提供必要的便利，以及地表现象的几何特征。本研究的目的是应用和评估不同分类算法和模糊函数隶属度检测和沟蚀映射的实现。以此目的，使用 Sentinel-2 的卫星图像，因此通过应用模糊 OBIA 特征和技术，在半自动方法中开发了 Lighvan 流域的土壤侵蚀图。方法精度评估结果表明，通过模糊OBIA特征获得的沟谷地图精度包括：长/宽、不对称、密度和形状指数算法，kappa系数分别为0.78、0.91、0.85和0.89 高于其他算法。此外，模糊函数隶属度研究的结果表明，该因素对结果准确性的影响很大，因此最高的分类准确性（kappa系数大于0.91）与长度/宽度有关算法，其中模糊函数 B, D, 具有最高隶属度（分别为 0.685、1、0.972 和 1）的 H 和 L 被采用。当前的研究结果对于决策者和当局来说非常重要，通过提供有关研究区土壤侵蚀的详细信息以及 GIS 科学学会应用和引入最有效的方法和技术。