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| A KIND OF DISTANCE MEASURE BETWEEN TWO FUZZY SETS AND ITS APPLICATIONS IN RULE INTERPOLATION |
| Du Wenji①;Xie Weixin② |
| ①School of Electronic Engineering, Xidian University, Xi’an 710071;②President Office of Shenzhen University, Shenzhen 518060 |
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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 one’s 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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Received: 08 January 1999
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2000, Vol. 22 
