Computer Engineering and Applications ›› 2012, Vol. 48 ›› Issue (10): 156-159.

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Interval valued weighted fuzzy reasoning based on OWA operator

SUN Xiaoling, WANG Ning   

  1. Department of Mathematics, Hefei Normal University, Hefei 230601, China
  • Online:2012-04-01 Published:2012-04-11

基于OWA算子的区间值加权模糊推理

孙晓玲,王  宁   

  1. 合肥师范学院 数学系,合肥 230601

Abstract: In view of the problem of giving suitable weights to the interval-valued fuzzy production rules, OWA operator is introduced to the interval-valued fuzzy reasoning. A method of giving weights is introduced based on the OWA operator. According to this method, a reasoning algorithm for the interval-valued weighted fuzzy production rules based on interval-valued fuzzy set is proposed. In the process of the application of this method, the calculation method of fuzzy matching function value and the overall similarity measure are introduced based on OWA operator to calculate matching degree of the input facts and antecedent portion of the rules reasonable. Finally, the effectiveness and feasibility of the proposed interval valued weighted fuzzy reasoning algorithm is illustrated with an example.

Key words: interval valued fuzzy production rules, interval value similarity measure, OWA operator

摘要: 针对如何对区间值模糊产生式规则赋予合理权值的问题,将OWA算子引入到区间值模糊推理中。介绍一种基于OWA算子的区间值赋权方法,根据此方法给出区间值模糊集上的加权模糊产生式规则的推理算法。在采用该算法的过程中,为合理地计算输入事实与规则前件的匹配程度,引入基于OWA算子的区间值模糊匹配函数值和总体贴近度的计算方法。实例分析表明了所给出的区间值模糊推理算法的有效性和可行性。

关键词: 区间值模糊产生式规则, 区间值贴近度, OWA算子