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Evolutionary algorithm based fuzzy modeling using conciseness measure

机译:基于简洁算法的基于进化算法的模糊建模

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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 (1972) 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的简洁性度量的模糊建模方法。通过隶属函数的形状和分配来定义模糊模型的简洁性,并通过引入模糊熵来量化简洁性。本文提出了一种新的方法,用于评估隶属函数与对称性之间的偏差。该度量与De Luca和Termini(1972)的模糊熵度量具有不同的方面,后者只能评估隶属函数的形状。通过将这两个量度组合在一起,可以得出一种新的量度,用于评估模糊模型的隶属函数的形状和分配。数值结果表明,新的简洁性度量对于模糊建模中的多重优化问题是有效的。

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