Acta Mathematica Hungarica
Volume/Issue:
Volume 134: Issue 4
The inclusion-exclusion principle for IF-events
Authors:
Jana Kelemenová Department of Mathematics, Faculty of Natural Sciences, Matej Bel University, Tajovského 40, 974 01 Banská Bystrica, Slovakia

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Karol Samuelčík Department of Mathematics, Faculty of Natural Sciences, Matej Bel University, Tajovského 40, 974 01 Banská Bystrica, Slovakia

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Pages:
511–515
Online Publication Date:
05 Aug 2011
Publication Date:
01 Mar 2012
Article Category:
Research Article
DOI:
https://doi.org/10.1007/s10474-011-0147-6
Keywords:
binary operation on IF-event; inclusion-exclusion principle; 05D40; 60C05; 08A72
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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 101–107 .

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  • [3] Riečan, B. Petrovičová, J. 2010 On the Lukasiewicz probability theory of IF-sets Tatra Mountains, Math. Publ. 46 125–146.

  • [4] Grzegorzewski, P. 2011 The inclusion-exclusion principle for IF-events Information Sciences 181 536–546.

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Cover Acta Mathematica Hungarica
Acta Mathematica Hungarica
Print ISSN:
0236-5294
Online ISSN:
1588-2632

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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  
Founder's
Address		 H-1051 Budapest, Hungary, Széchenyi István tér 9.
Publisher Akadémiai Kiadó
Springer Nature Switzerland AG
Publisher's
Address		 H-1117 Budapest, Hungary 1516 Budapest, PO Box 245.
CH-6330 Cham, Switzerland Gewerbestrasse 11.
Responsible
Publisher		 Chief Executive Officer, Akadémiai Kiadó
ISSN 0236-5294 (Print)
ISSN 1588-2632 (Online)

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