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Evolutionary algorithm based fuzzy modeling using conciseness measure

机译:基于进化算法的基于简洁测量的模糊建模

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In this paper a fuzzy modeling method using a new conciseness measure is presented. conciseness of fuzzy models is defined by the shape and allocation of membership functions and the conciseness is quantified by introducing fuzzy entropy. This paper proposes a new measure which evaluates the deviation of a membership function from symmetry. The measure has a different aspect from De Luca and Termini's fuzzy entropy measure, which could only evaluate the shape of a membership function. By combining these two measures, a new measure is derived for evaluation of the shape and allocation of membership functions of a fuzzy model. Numerical results show that the new conciseness measure is effective for fuzzy modeling formulated as a multi-optimization problem.
机译:本文提出了一种使用新简明测量的模糊建模方法。模糊模型的简明由成员函数的形状和分配来定义,通过引入模糊熵来量化简洁化。本文提出了一种评估来自对称性的隶属函数的偏差的新措施。该措施与De Luca和Termini的模糊熵测量有不同的方面,只能评估会员功能的形状。通过组合这两种措施,导出了一种新的度量,用于评估模糊模型的成员函数的形状和分配。数值结果表明,新的简洁措施对于制定作为多优化问题的模糊建模是有效的。

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