%0 Journal Article
%T The Inclusion-Exclusion Principle for IF-States
%J Iranian Journal of Fuzzy Systems
%I University of Sistan and Baluchestan
%Z 1735-0654
%A Ciungu, L. C.
%A Riecan, B.
%D 2014
%\ 04/25/2014
%V 11
%N 2
%P 17-25
%! The Inclusion-Exclusion Principle for IF-States
%K IF-set
%K IF-event
%K IFS-probability
%K IF-state
%K Inclusion-exclusion principle
%K Boole inequality
%K Bonferroni inequality
%K L ukasiewicz connectives
%R 10.22111/ijfs.2014.1488
%X 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 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.
%U https://ijfs.usb.ac.ir/article_1488_52169ce274520c82027e0cb7503300e2.pdf