Title: PyIT2FLS: A New Python Toolkit for Interval Type 2 Fuzzy Logic Systems Show Chinese title

Title: PyIT2FLS：一种新的区间二型模糊逻辑系统Python工具包

Abstract: Fuzzy logic is an accepted and well-developed approach for constructing verbal models. Fuzzy based methods are getting more popular, while the engineers deal with more daily life tasks. This paper presents a new Python toolkit for Interval Type 2 Fuzzy Logic Systems (IT2FLS). Developing software tools is an important issue for facilitating the practical use of theoretical results. There are limited tools for implementing IT2FLSs in Python. The developed PyIT2FLS is providing a set of tools for fast and easy modeling of fuzzy systems. This paper includes a brief description of how developed toolkit can be used. Also, three examples are given showing the usage of the developed toolkit for simulating IT2FLSs. First, a simple rule-based system is developed and it's codes are presented in the paper. The second example is the prediction of the Mackey-Glass chaotic time series using IT2FLS. In this example, the Particle Swarm Optimization (PSO) algorithm is used for determining system parameters while minimizing the mean square error. In the last example, an IT2FPID is designed and used for controlling a linear time-delay system. The code for the examples are available on toolkit's GitHub page: \url{https://github.com/Haghrah/PyIT2FLS}. The simulations and their results confirm the ability of the developed toolkit to be used in a wide range of the applications. Show Chinese abstract

Abstract: 模糊逻辑是一种被接受且发展完善的构建语言模型的方法。基于模糊的方法越来越受欢迎，因为工程师们处理更多的日常生活任务。本文介绍了一个用于区间二型模糊逻辑系统（IT2FLS）的新Python工具包。开发软件工具对于促进理论成果的实际应用是一个重要的问题。在Python中用于实现IT2FLS的工具有限。开发的PyIT2FLS提供了一组工具，可以快速且轻松地对模糊系统进行建模。本文简要描述了如何使用该开发工具包。此外，给出了三个例子，展示了开发工具包用于模拟IT2FLS的应用。首先，开发了一个简单的基于规则的系统，并在论文中给出了其代码。第二个例子是使用IT2FLS预测Mackey-Glass混沌时间序列。在这个例子中，粒子群优化（PSO）算法用于确定系统参数，同时最小化均方误差。在最后一个例子中，设计并使用了IT2FPID来控制一个线性时延系统。示例的代码可以在工具包的GitHub页面上找到：\url{https://github.com/Haghrah/PyIT2FLS}。模拟及其结果证实了开发工具包在广泛的应用中的可用性。