On the variance of a fuzzy number based on the Yager index

Juan Carlos Figueroa–García, José Jairo Soriano-Mendez, Miguel Alberto Melgarejo-Rey
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引用次数: 2

Abstract

This paper presents a proposal for computing the variance of a fuzzy number based on the Yager index for convex fuzzy sets. We compare the proposal to the sample variance (based on α-cuts) to see its behavior over triangular, trapezoidal and Gaussian fuzzy numbers. Some considerations about the obtained results are provided and some recommendations are given.
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基于Yager指数的模糊数方差分析
本文提出了一种基于凸模糊集的Yager指数计算模糊数方差的方法。我们将建议与样本方差(基于α-cuts)进行比较,以查看其在三角形,梯形和高斯模糊数上的行为。对所得结果提出了一些注意事项和建议。
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