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Issue:The inclusion-exclusion principle for product operations on IF-events

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Title of paper: The inclusion-exclusion principle for product operations on IF-events
Author(s):
Mária Kuková
Faculty of Natural Sciences, Matej Bel University, Tajovského 40, SK-974 01 Banská Bystrica
maria.kukova@umb.sk
Presented at: 7th IWIFS, Banska Bystrica, 27 September 2011
Published in: Conference proceedings, "Notes on IFS", Volume 17 (2011) Number 4, pages 5—10
Download:  PDF (152  Kb, Info)
Abstract: The paper contains an extension of inclusion-exclusion principle published in [3] for a larger set of probabilities. A new method of the proof is presented as well.
Keywords: Inclusion-exclusion principle, IF-events.
AMS Classification: 60A86
References:
  1. K. Atanassov, Intuitionistic Fuzzy Sets, Springer-Verlag, Heidelberg, 1999.
  2. Ciungu, L., B. Riečan, General form of probabilities on IF-sets. Fuzzy Logic and Applications, Proc. 8th Int. Workshop WILF, Lecture Notes in Artificial Intelligence, 2009, pp. 101–107.
  3. Grzegorzewski, P. The Inclusion-Exclusion Principle for IF - Events, Information Sciences 181 (2011) 536 – 546.
  4. Kuková, M. The Inclusion-Exclusion Principle for IF-events, Information Sciences (submitted)
  5. Riečan, B. Probability theory on IF events, In: Algebraic and Proof-Theoretic Aspects on Non-classical Logics (S. Aguzzolii, et al., eds.), papers in honor of Daniele Mundici on the occasion of his 60th birthday, Lecture Notes on Comput. Sci., Springer, Berlin, 2007, pp. 290–308.
  6. Riečan, B., J. Petrovičová, On the Łukasiewicz Probability Theory on IF-sets, Tatra Mt. Math. Publ. 46 (2010) 125–146.
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