Du Wenji, Xie Weixin . A KIND OF DISTANCE MEASURE BETWEEN TWO FUZZY SETS AND ITS APPLICATIONS IN RULE INTERPOLATION[J]. Journal of Electronics & Information Technology, 2000, 22(6): 959-964.
Citation:
Du Wenji, Xie Weixin . A KIND OF DISTANCE MEASURE BETWEEN TWO FUZZY SETS AND ITS APPLICATIONS IN RULE INTERPOLATION[J]. Journal of Electronics & Information Technology, 2000, 22(6): 959-964.
Du Wenji, Xie Weixin . A KIND OF DISTANCE MEASURE BETWEEN TWO FUZZY SETS AND ITS APPLICATIONS IN RULE INTERPOLATION[J]. Journal of Electronics & Information Technology, 2000, 22(6): 959-964.
Citation:
Du Wenji, Xie Weixin . A KIND OF DISTANCE MEASURE BETWEEN TWO FUZZY SETS AND ITS APPLICATIONS IN RULE INTERPOLATION[J]. Journal of Electronics & Information Technology, 2000, 22(6): 959-964.
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.
Koczy L T, Hirota K. Interpolative reasoning with insufficient evidence in sparse fuzzy rule bases[J].Information Science.1993, 71(1):169-201[2]Yan Shi, Masaharu Mizumoto. Reasoning conditions on Koczys interpolative reasoning method in sparse fuzzy rule bases, Part II, Fuzzy Sets and Systems, 1997, 87(1):47-56.[3]Subasic P, Hirota K. Similarity rules and gradual rules for analogical and interpolative reasoning with imprecise data[J].Fuzzy Sets and Systems.1998, 96(1):53-75[4]Koczy L T, Tanaka K. Ordering, distance and closeness of fuzzy sets[J].Fuzzy Sets and Systems.1993, 59(2):281-293[5]王立新．自适应模糊系统与控制-设计与稳定性分析．北京，国防工业出版社，1997年，242-253.
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