Author/Authors :
L. C. Ciungu، L. C. Ciungu نويسنده Department of Mathematics, University of Iowa, 14 MacLean Hall, Iowa City, Iowa 52242-1419, USA L. C. Ciungu, L. C. Ciungu , B. Riecan، B. Riecan نويسنده Department of Mathematics ,Faculty of Natural Sciences, Matej Bel University, Tajovsk\eho 40, Bansk\a Bystrica, Slovakia B. Riecan, B. Riecan
Abstract :
Applying two definitions of the union of IF-events, P. Grzegorzewski gave two generalizations of the inclusion-exclusion principle for IF-events.
In this paper we prove an inclusion-exclusion principle for IF-states based on a method which can also be used to
prove Grzegorzewskiʹs inclusion-exclusion principle for probabilities on IF-events.
Finally, we give some applications of this principle by extending some results regarding the classical probabilities to the case of the IF-states.
