On the Accuracy of Type-2 Fuzzy Sets

On the Accuracy of Type-2 Fuzzy Sets
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关于2型模糊集的准确性

DOI:
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发表时间:
2007
期刊:
2007 IEEE International Fuzzy Systems Conference
影响因子:
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通讯作者:
R. John
R. John
中科院分区:
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文献类型:
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作者:
S. Coupland;R. John

文献摘要

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几何2型模糊集允许我们使用几何来建模2型模糊集,从而显著提高了计算速度。本文从精度的角度详细探讨了几何方法对连续2型模糊集的建模效果。本文介绍了一种进行比较的新方法。将该方法应用于若干实例集,并给出了几何模型的性能。结果表明,从广义上讲,几何2型模糊集比离散等价集更精确。
Geometric Type-2 fuzzy sets allow us to model type-2 fuzzy sets using geometry providing significant improvement in speed of computation. This paper explores in detail how well the geometric approach models continuous type-2 fuzzy sets from an accuracy perspective. A new methodology is introduced for conducting the comparison. This methodology is used on some example sets and the performance of the geometric model is given. It shows that, in broad terms, geometric type-2 fuzzy sets are more accurate than the discrete equivalent.