On Multivalued Logic and Probability Theory

  • Beloslav Riečan
Conference paper
Part of the Advances in Intelligent and Soft Computing book series (AINSC, volume 16)


The idea to built probability theory on the families of fuzzy sets belongs to the first ideas of the fuzzy sets theory (see [18]). In the paper we consider the Lukasiewicz connectives ([2,7,15,16]) in the corresponding family of fuzzy sets as a base of the probability. First we present some typical methods of the theory on multivalued logics. Then we mention recent development of the theory.


Soft Computing Borel Measurable Function Triangular Norm Multivalued Logic Boolean Case 
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Copyright information

© Springer-Verlag Berlin Heidelberg 2002

Authors and Affiliations

  • Beloslav Riečan
    • 1
    • 2
  1. 1.Department of Mathematics M. Bel UniversityBanská BystricaSlovakia
  2. 2.Mathematical InstituteSlovak Academy of SciencesBratislavaSlovakia

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