柯西型模糊集相似性、可能性和可分辨性测度的解析公式，并与高斯模糊集比较

2015 IEEE Seventh International Conference on Intelligent Computing and Information Systems (ICICIS) Pub Date : 2015-12-01 DOI:10.1109/INTELCIS.2015.7397257

Nelly S. Amer, H. Hefny

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引用次数: 1

摘要

本文给出了柯西型隶属函数模糊集相似性测度和区别测度的一般解析公式。给出了相似性测度与可能性测度之间的广义解析公式。通过与高斯模糊集的比较，保证了柯西型模糊集的单调特征图比高斯模糊集的单调特征图有趣。这一结果对于根据模糊集的特征图选择合适的模糊集作为语言值来构建可解释的模糊模型具有重要的指导意义。

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Analytical formulas for similarity, possibility and distinguishability measures of Cauchy type fuzzy sets with comparison to Gaussian fuzzy sets

This paper provides general analytical formulas for similarity and distinguishabilty measures of fuzzy sets of Cauchy type membership functions. A generalized analytical formula between similarity and possibility measures has also been obtained. A comparison with the case of Gaussian fuzzy sets ensures interesting monotonic characteristic charts for Cauchy type fuzzy sets compared with those of Gaussian fuzzy sets. This result represents a significant guide for building interpretable fuzzy models by adopting suitable forms of fuzzy sets as linguistic values based on their characteristic charts.

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2015 IEEE Seventh International Conference on Intelligent Computing and Information Systems (ICICIS)

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