The inclusion-exclusion principle for IF-events

Authors:
Przemysław Grzegorzewski
Affiliations:
Systems Research Institute, Polish Academy of Sciences, ul. Newelska 6, 01-447 Warsaw, Poland and Faculty of Mathematics and Information Science, Warsaw University of Technology, Plac Politechniki ...
Venue:
Information Sciences: an International Journal
Year:
2011

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Abstract

The probabilistic version of the inclusion-exclusion principle is generalized for IF-events. Two versions of the generalized formula, corresponding to different t-conorms applied for defining the union of IF-events are shown.