An Exponential Representation Form for Fuzzy Logic

  • Shen, Zuliang (Institute of Systems Science, National University of Singapore) ;
  • Ding, Liya (Institute of Systems Science, National University of Singapore)
  • Published : 1993.06.01

Abstract

By the exponential representation form (EF) for fuzzy logic, any fuzzy value a (in fuzzy valued logic or fuzzy linguistic valued logic) can be represented as Bc, where B is called the truth base and C the confidence exponent. This paper will propose the basic concepts of this form and discuss its interesting properties. By using a different truth base, the exponential form can be used to represent the positive and the negative logic in fuzzy valued logic as well as in fuzzy linguistic valued logic. Some Simple application examples of EF for approximate reasoning are also illustrated in this paper.

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