基于简化网格表示的稀疏一般2型模糊规则插值推理方法

2013 International Conference on Soft Computing and Pattern Recognition (SoCPaR) Pub Date : 2013-12-01 DOI:10.1109/SOCPAR.2013.7054104

L. Ngo, M. Vu, K. Hirota

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引用次数: 1

摘要

插值推理是一类模糊集、一类模糊集和一类模糊集的研究热点之一。然而，由于一般2型模糊集的计算量较大，相关方法尚未提及。本文研究了一种利用约简网格求解一般2型模糊集表示定理的方法。介绍了一种稀疏一般2型模糊规则插值推理的计算模式。这种模式不依赖于成员函数的形状。此外，提出了GPU平台的并行化模式，提高了算法的速度。提出的方法在GPU和CPU平台上实现，具有不同的隶属函数。

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Interpolative reasoning approach to sparse general type-2 fuzzy rules based on the reduced grid representation

Interpolative reasoning is one of the most interested problems with various approaches for type-1 fuzzy sets, interval type-2 fuzzy sets, recently. However, the related methods have not mentioned general type-2 fuzzy sets yet because of their computational complexity. The paper deals with an approach to representation theorem of general type-2 fuzzy sets using the reduced grid. A computational schema for interpolative reasoning of sparse general type-2 fuzzy rules is also introduced. This schema is not depended on the shape of membership functions. Beside, the parallelizing schema for GPU platform is proposed to speedup the algorithms. The proposed methods are implemented on both of GPU and CPU platforms with various membership functions.

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2013 International Conference on Soft Computing and Pattern Recognition (SoCPaR)

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