Relations among the multidimensional linear interpolation fuzzy reasoning , and neural networks

  • Om, Kyong-Sik (Dept. of Biomedical Engineering, College of Engineering, Seoul National University Hospital) ;
  • Kim, Hee-Chan (Dept.of Biomedecal Engineering, College of Medicine, Seoul National University Hospital) ;
  • Byoung-Goo (Dept.of Biomedecal Engineering, College of Medicine, Seoul National University Hospital)
  • Published : 1998.06.01

Abstract

This paper examined the relations among the multidimensional linear interpolation(MDI) and fuzzy reasoning , and neural networks, and showed that an showed that an MDI is a special form of Tsukamoto's fuzzy reasoning and regularization networks in the perspective of fuzzy reasoning and neural networks, respectively. For this purposes, we proposed a special Tsukamoto's membership (STM) systemand triangular basis function (TBF) networks, Also we verified the condition when our proposed TBF becomes a well-known radial basis function (RBF).

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