从模糊数据中确定模糊测度的遗传算法优化

IF 1.2 Q2 MATHEMATICS, APPLIED
Chen Li, Gong Zeng-tai, Duan Gang
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引用次数: 5

摘要

模糊测度和模糊积分已经成功地应用于许多实际应用中。在这些应用中,如何确定模糊度量是一个非常困难的问题。虽然目前已经有一些解决这一问题的方法,如遗传算法、梯度下降算法、神经网络和粒子群算法,但很难说哪一种更合适、更可行。每种方法都有其优点。现有的工作大多只能处理由经典数组成的数据,这在实际应用中可能会受到限制。在我们从实际数据中得出数据之前,假设所有的数据都是真实的数据是不合理的。有时,模糊数据可能存在,例如在药理学、金融和社会学应用中。因此,我们尝试用遗传算法和Choquet积分从模糊数据中确定一种更广义的一般模糊测度。在本文中,我们首次尝试定义这些规则。在此基础上,定义了区间值函数和模糊值函数的Choquet积分,并对其进行了规则刻画。此外,我们设计了一种特殊的遗传算法,从模糊数据中确定一类一般模糊测度。
本文章由计算机程序翻译,如有差异,请以英文原文为准。
Genetic Algorithm Optimization for Determining Fuzzy Measures from Fuzzy Data
Fuzzy measures and fuzzy integrals have been successfully used in many real applications. How to determine fuzzy measures is a very difficult problem in these applications. Though there have existed some methodologies for solving this problem, such as genetic algorithms, gradient descent algorithms, neural networks, and particle swarm algorithm, it is hard to say which one is more appropriate and more feasible. Each method has its advantages. Most of the existed works can only deal with the data consisting of classic numbers which may arise limitations in practical applications. It is not reasonable to assume that all data are real data before we elicit them from practical data. Sometimes, fuzzy data may exist, such as in pharmacological, financial and sociological applications. Thus, we make an attempt to determine a more generalized type of general fuzzy measures from fuzzy data by means of genetic algorithms and Choquet integrals. In this paper, we make the first effort to define the rules. Furthermore we define and characterize the Choquet integrals of interval-valued functions and fuzzy-number-valued functions based on rules. In addition, we design a special genetic algorithm to determine a type of general fuzzy measures from fuzzy data.
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来源期刊
Journal of Applied Mathematics
Journal of Applied Mathematics MATHEMATICS, APPLIED-
CiteScore
2.70
自引率
0.00%
发文量
58
审稿时长
3.2 months
期刊介绍: Journal of Applied Mathematics is a refereed journal devoted to the publication of original research papers and review articles in all areas of applied, computational, and industrial mathematics.
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