模糊集合距离的一种度量方法及其在规则内插中的应用
A KIND OF DISTANCE MEASURE BETWEEN TWO FUZZY SETS AND ITS APPLICATIONS IN RULE INTERPOLATION
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摘要: 基于对模糊集基本特性的分析，提出了一种模糊集合的距离度量方法，与传统方法不同的是它不但与模糊集的质心有关，而且与模糊集的基数有关；其次讨论了如何基于这种距离的定义来实现模糊控制，并指出基于这种方法实现的模糊控制器可以逼近任意连续函数。其优越之处也在于它能有效处理规则不完备时常规模糊控制器所面临的问题。
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关键词:
- 模糊集合;距离度量;近似推理;模糊控制
Abstract: A fuzzy controller based on the distance between two fuzzy sets is proposed in this article. First, a definition of distance between two fuzzy sets is proposed. This definition is different from traditional ones for its dependent on the cardinal numbers and centroids of the two fuzzy sets. Then the method is used in designing a fuzzy controller. It is also pointed out that the fuzzy controller implemented through this way can approximate any continuous real function. The fuzzy controller proposed is able to handle the problem in the case that the input universe is not covered completely with the rule base. -
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