Proceedings of the Korean Institute of Intelligent Systems Conference (한국지능시스템학회:학술대회논문집)

Korean Institute of Intelligent Systems (한국지능시스템학회)
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New Canonical Forms for Enumerating Fuzzy/C Switching Functions

  • Araki, Tomoyuki (Dept. of Information and Computer Sciences, Kanagawa Institute of Technology) ;
  • Tatsumi, Hisayuki (Dept. of Information and Computer Sciences, Kanagawa Institute of Technology) ;
  • Mukaidono, Masao (Dept. of Computer Science, Meiji University) ;
  • Yamamoto, Fujio (Dept. of Computer Science , Meiji University)
  • Published : 1998.06.01
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Abstract

Logic functions such as fuzzy switching functions and multiple-valued Kleenean functions, that are models of Kleene algebra have been studied as foundation of fuzzy logic. This paper deals with a new kinds of functions-fuzzy switching functions with constants-which have features of both the above two kinds of functions . In this paper, we propose new canonical forms for enumerating them. They are much useful to estimate simply the number of fuzzy switching functions with constants.

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