Fuzzy probability system: fuzzy-probability space (1)

Abstract The present paper discusses “The major objective of the theory of probability”, and hence provides a fuzzy probability system, which links both Von Mises's probability system and Kolmogorov's probability system to be a new one. Such a probability system has a more original theoretical starting point, and appears to deal with such uncertainty as has subjectivity and fuzziness. In addition, this probability system has some softness too. This paper attempts to induct the subject and the subjective factor into mathematics.