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

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http://ifigenia.org/wiki/issue:nifs/17/4/5-10

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: "Notes on Intuitionistic Fuzzy Sets", Volume 17 (2011) Number 4, pages 5—10 Download:  PDF (152  Kb, File 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: K. Atanassov, Intuitionistic Fuzzy Sets, Springer-Verlag, Heidelberg, 1999. 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. Grzegorzewski, P. The Inclusion-Exclusion Principle for IF - Events, Information Sciences 181 (2011) 536 – 546. Kuková, M. The Inclusion-Exclusion Principle for IF-events, Information Sciences (submitted) 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. Riečan, B., J. Petrovičová, On the Łukasiewicz Probability Theory on IF-sets, Tatra Mt. Math. Publ. 46 (2010) 125–146. Citations: The list of publications, citing this article may be empty or incomplete. If you can provide relevant data, please, write on the talk page.