THE INCLUSION-EXCLUSION PRINCIPLE FOR IF-STATES
Lavinia Corina Ciungu, Beloslav Riečan · Iranian journal of fuzzy systems · 2014
Applying two denitions 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 Grzegorzewski's 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.