Title of paper:

The Inclusion–Exclusion principle for general IFstates

Author(s):

Daniela Kluvancová

Faculty of Natural Sciences, Matej Bel University, Tajovského 40, 974 01, Banská Bystrica, Slovakia

daniela.kluvancovaumb.sk


Presented at:

11^{th} International Workshop on Intuitionistic Fuzzy Sets, Banská Bystrica, Slovakia, 30 Oct. 2015

Published in:

"Notes on IFS", Volume 21, 2015, Number 5, pages 24–32

Download:

PDF (180 Kb, Info)

Abstract:

Any real state on intuitionistic fuzzy sets (IFsets) can be represented by integrals. L. Ciungu in [3] proved that for any real state on IFsets and for a pair of binary operations which satisfy some special conditions holds an Inclusion–Exclusion principle. In [10], J. Považan proved that also any state on IFsets with values from the arbitrary Riesz space we can represented by integrals. But could we consider Inclusion–Exclusion principle for any IFstate? In this paper we will prove this property for general case in very similar way as for real.

Keywords:

IFset, IEpair, Inclusion–Exclusion principle, Riesz space, Representation theorem.

AMS Classification:

03E72.

References:

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