Title :
On the probability theory on the Atanassov sets
Author_Institution :
Dept. of Math., Matej Bel Univ., Banska Bystrica
Abstract :
We present an axiomatic approach to the probability theory on IF-sets = intuitionistic fuzzy sets = Atanassov sets (K. Atanassov, 1999). Starting with two constructive definitions (T. Gerstenkorn, et.al., 2005) we consider a theory including not only the special cases but also the general form of the probabilities on IF-sets. Moreover an embedding of the theory to the probability theory on MV-algebras is given
Keywords :
algebra; fuzzy set theory; probability; Atanassov sets; MV-algebras; intuitionistic fuzzy sets; probability theory axiomatic approach; Algebra; Fuzzy sets; Intelligent systems; Mathematics;
Conference_Titel :
Intelligent Systems, 2006 3rd International IEEE Conference on
Conference_Location :
London
Print_ISBN :
1-4244-0195-X
DOI :
10.1109/IS.2006.348510
