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首页> 外文期刊>IEEE Transactions on Fuzzy Systems >Comment on 'Combinatorial rule explosion eliminated by a fuzzy rule configuration' [and reply]
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Comment on 'Combinatorial rule explosion eliminated by a fuzzy rule configuration' [and reply]

机译：评论“通过模糊规则配置消除了组合规则爆炸” [和回复]

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摘要

The "curse of dimensionality" is one of the key problems facing fuzzy systems theory today. Fuzzy systems are based on a set of IF-THEN rules and the structure of these fuzzy rules causes an exponential growth in the number of rules when more inputs are added, resulting in unwieldy rulebases. Many strategies have been proposed to alleviate the curse of dimensionality. Combs and Andrews (ibid., vol.6, p.1-11, 1998) attempt to reduce the growth of the fuzzy rulebase by proposing a disjunctive form for fuzzy rules. In the current paper, we comment on this approach and show that it is mathematically invalid, as illustrated by an example. Combs replies that the authors are addressing 2 different issues; whether the union and intersection rules of configuration be equivalent in fuzzy logic, and whether the latter can overcome the curse of dimensionality.
机译：“维数的诅咒”是当今模糊系统理论面临的关键问题之一。模糊系统基于一组IF-THEN规则，并且这些模糊规则的结构在添加更多输入时会导致规则数量呈指数增长，从而导致规则库笨拙。已经提出了许多减轻维数诅咒的策略。 Combs和Andrews（同上，第6卷，第1-11页，1998年）试图通过提出模糊规则的析取形式来减少模糊规则库的增长。在当前的论文中，我们对这种方法进行了评论，并表明它在数学上是无效的，如一个示例所示。梳子回答作者正在解决两个不同的问题。配置的并集和相交规则在模糊逻辑中是否等效，以及后者是否可以克服维数的诅咒。

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