Journal of the Korean Statistical Society

The Korean Statistical Society (한국통계학회)
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The Concept of Fuzzy Probability

  • Sook Lim (Department of Computer Engineering, Yosu National Fisheries University, Yosu, 550-749) ;
  • Um, Jung-Koog (Department of Computer Science, Sogang University, Seoul, 121-742)
  • Published : 1992.12.01
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Abstract

Since Zadeh's definition for probability of fuzzy event is presented, alternative definitions for probability of fuzzy event is suggested. Also various properties of these new definitions have been presented. In this paper it is our purpose to show the works continued by finding a natural definition of a fuzzy probability measure on an arbitrary fuzzy measurable space. Thus, the main process is to observe fuzzy probability measure to be qualified by weak axioms of boundary condition, monotonicity and continuity suggested by Klir (1988). Especially, we will show that these axioms are satisfied through in succession of modifications from the Yager's method.

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