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  • 标题:A New Similarity Measure for Fuzzy Sets with the Extended Definition of Complementation
  • 本地全文:下载
  • 作者:Pranamika Kakati
  • 期刊名称:International Journal of Soft Computing & Engineering
  • 电子版ISSN:2231-2307
  • 出版年度:2013
  • 卷号:3
  • 期号:4
  • 页码:203-207
  • 出版社:International Journal of Soft Computing & Engineering
  • 摘要:Sim ilarity measure for Fuzzy sets is one of the researched topics of Fuzzy set theory. Till now there have been several methods to measure similarity between two Fuzzy sets. The existing methods are based on traditional Zadehian Theory of Fuzzy sets where it is believed that there is no difference between Fuzzy membership function and Fuzzy membership value for the complement of a Fuzzy set which is already proved to be wrong. In this article, effort has been made to put forward a new similarity measure with the help of extended definition of complementation of Fuzzy sets using reference function. Our proposed method is based on the fact that Fuzzy membership function and Fuzzy membership value for the complement of a Fuzzy set are two different things. With this new approach an attempt has been made to design a new Similarity measure for Fuzzy sets so that it becomes free from any further controversy
  • 关键词:Complement of a Fuzzy set; Fuzzy membership ;function; Fuzzy membership value; Fuzzy reference function; ;Fuzzy set; Similarity measure.
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