Regranulation: A granular algorithm enabling communication between granular worlds
Regranulation: A granular algorithm enabling communication between granular worlds
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DOI：
10.1016/j.ins.2006.03.020
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发表时间：
2007-01
期刊：
影响因子：
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通讯作者：
S. Dick;A. Schenker;W. Pedrycz;A. Kandel
中科院分区：
文献类型：
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作者：
S. Dick;A. Schenker;W. Pedrycz;A. Kandel
在本文中，我们描述了一种在两个用模糊规则库表示的颗粒世界之间进行信息转换的颗粒算法。这些颗粒世界被定义在相同的话语范围内，但使用这个范围的不同颗粒。为了将信息从一个颗粒世界转换到另一个颗粒世界，我们必须对信息进行重新颗粒化，使其与目标世界的信息粒度相匹配。这是通过使用一阶插值算法来完成的，该算法使用语言算法实现，这是一组基本的颗粒计算操作。我们首先通过研究几种不同粒度的常见“fuzzy-PD”规则库来演示该算法，并得出结论，“3×3”粒度对于该目标可能过于粗糙。然后，我们研究系统的“自然”粒度可能是什么；这是通过涉及相同底层映射的三种不同颗粒的10倍交叉验证实验来研究的。对于所考虑的问题，我们发现7×7造粒似乎是最小的必要精度。
In this paper, we describe a granular algorithm for translating information between two granular worlds, represented as fuzzy rulebases. These granular worlds are defined on the same universe of discourse, but employ different granulations of this universe. In order to translate information from one granular world to the other, we must regranulate the information so that it matches the information granularity of the target world. This is accomplished through the use of a first-order interpolation algorithm, implemented using linguistic arithmetic, a set of elementary granular computing operations. We first demonstrate this algorithm by studying the common “fuzzy-PD” rulebase at several different granularities, and conclude that the “3×3” granulation may be too coarse for this objective. We then examine the question of what the “natural” granularity of a system might be; this is studied through a 10-fold cross-validation experiment involving three different granulations of the same underlying mapping. For the problem under consideration, we find that a 7×7 granulation appears to be the minimum necessary precision.