An application of intuitionistic fuzzy sets in medical diagnosis
Fuzzy Sets and Systems
Recent advances in intelligent paradigms and applications
General Form of Probabilities on IF-Sets
WILF '09 Proceedings of the 8th International Workshop on Fuzzy Logic and Applications
Representation theorem for probabilities on IFS-events
Information Sciences: an International Journal
Probability theory on IF events
Algebraic and proof-theoretic aspects of non-classical logics
The inclusion-exclusion principle for IF-events
Information Sciences: an International Journal
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The principle of inclusion and exclusion for classical sets belongs to the very well-known theorems of combinatorics and probability theory. With the appearance of fuzzy sets and their generalizations it is natural to ask if this principle holds for them as well. It turns out that this is true e.g. for IF-events, which include fuzzy sets as a special case, as it was shown in [8]. In contrast to the mentioned paper we work with L-states and with a wider set of probabilities. As a consequence of this approach we obtain another method for proving the inclusion-exclusion principle for IF-sets.