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  • 1 Department of Mathematics, Faculty of Natural Sciences, Matej Bel University, Tajovského 40, 974 01 Banská Bystrica, Slovakia
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Abstract

The inclusion-exclusion principle is one of the basic theorems in combinatorics. In this paper the inclusion-exclusion principle for IF-sets on generalized probability measures is studied. The basic theorems are proved.

  • [1] Atanassov, K. 1999 Intuitionistic Fuzzy Sets. Theory and Application Physice Verlag New York.

  • [2] Ciungu, L. Riečan, B. 2009 General form of probability on IF-sets Fuzzy Logic and Applications Proc. 8th Int. Workshop WILF 2009 Lecture Notes in Artificial Intelligence 101107 .

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  • [3] Riečan, B. Petrovičová, J. 2010 On the Lukasiewicz probability theory of IF-sets Tatra Mountains, Math. Publ. 46 125146.

  • [4] Grzegorzewski, P. 2011 The inclusion-exclusion principle for IF-events Information Sciences 181 536546.

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Acta Mathematica Hungarica
Language English
Size B5
Year of
Foundation
1950
Volumes
per Year
3
Issues
per Year
6
Founder Magyar Tudományos Akadémia
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Springer Nature Switzerland AG
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ISSN 0236-5294 (Print)
ISSN 1588-2632 (Online)