The Inclusion-Exclusion Principle On the Set of IF-sets

DOI

10.2991/eusflat.2011.37How to use a DOI?

Keywords

inclusion-exclusion principle, IF-sets, probability

Abstract

P. Grzegorzewski [3] has worked the probability version of the inclusion-exclusion principle and made a generalization for IF-events. He had applied two versions of the generalized formula, corresponding to different t-conorms and so defined the union of IF-events. This paper contains the generalization of the Grzegorzewski theorem. We prove it for mappings from the set of IF sets to the unit interval([2], [1]). Similar generalizations are presented in [4] and [5].

Copyright

© 2011, the Authors. Published by Atlantis Press.

Open Access

This is an open access article distributed under the CC BY-NC license (http://creativecommons.org/licenses/by-nc/4.0/).

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TY  - CONF
AU  - Jana Kelemenová
PY  - 2011/08
DA  - 2011/08
TI  - The Inclusion-Exclusion Principle On the Set of IF-sets
BT  - Proceedings of the 7th conference of the European Society for Fuzzy Logic and Technology (EUSFLAT-11)
PB  - Atlantis Press
SP  - 559
EP  - 562
SN  - 1951-6851
UR  - https://doi.org/10.2991/eusflat.2011.37
DO  - 10.2991/eusflat.2011.37
ID  - Kelemenová2011/08
ER  -