The inclusion–exclusion principle for IF-events

Przemysław Grzegorzewski

Abstract

The probabilistic version of the inclusion–exclusion principle is generalized for IF-events. Two versions of the generalized formula, corresponding to different t-conorms applied for defining the union of IF-events are shown.
Author Przemysław Grzegorzewski (FMIS / DSPFM)
Przemysław Grzegorzewski,,
- Department of Stochastic Processes and Financial Mathematics
Journal seriesInformation Sciences, ISSN 0020-0255, (A 40 pkt)
Issue year2011
Vol181
No3
Pages536-546
Keywords in EnglishFuzzy sets, IF-event, IF-sets, Inclusion–exclusion principle, Intuitionistic fuzzy set, probability, T-conorm
ASJC Classification1702 Artificial Intelligence; 1802 Information Systems and Management; 1706 Computer Science Applications; 2614 Theoretical Computer Science; 2207 Control and Systems Engineering; 1712 Software
DOIDOI:10.1016/j.ins.2010.10.003
URL http://www.sciencedirect.com/science/article/pii/S0020025510004949
Score (nominal)40
Publication indicators WoS Citations = 7; Scopus Citations = 9; Scopus SNIP (Source Normalised Impact per Paper): 2014 = 3.322; WoS Impact Factor: 2011 = 2.833 (2) - 2011=2.984 (5)
Citation count*9 (2015-08-19)
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