模糊集合距離的一種度量方法及其在規(guī)則內(nèi)插中的應(yīng)用
A KIND OF DISTANCE MEASURE BETWEEN TWO FUZZY SETS AND ITS APPLICATIONS IN RULE INTERPOLATION
-
摘要: 基于對模糊集基本特性的分析，提出了一種模糊集合的距離度量方法，與傳統(tǒng)方法不同的是它不但與模糊集的質(zhì)心有關(guān)，而且與模糊集的基數(shù)有關(guān)；其次討論了如何基于這種距離的定義來實(shí)現(xiàn)模糊控制，并指出基于這種方法實(shí)現(xiàn)的模糊控制器可以逼近任意連續(xù)函數(shù)。其優(yōu)越之處也在于它能有效處理規(guī)則不完備時(shí)常規(guī)模糊控制器所面臨的問題。
-
關(guān)鍵詞:
- 模糊集合;距離度量;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. -
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．自適應(yīng)模糊系統(tǒng)與控制-設(shè)計(jì)與穩(wěn)定性分析．北京，國防工業(yè)出版社，1997年，242-253. -
計(jì)量
- 文章訪問數(shù): 2609
- HTML全文瀏覽量: 110
- PDF下載量: 607
- 被引次數(shù): 0
下載:
