title: |
The Inclusion-Exclusion Principle On the Set of |
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publication: |
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part of series: |
Advances in Intelligent Systems Research | |
| pages: | 559 - 562 | |
DOI: |
To be assigned soon (how to use a DOI) | |
author(s): |
IF-sets |
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corresponding author: |
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publication date: |
July 2011 |
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keywords: |
inclusion-exclusion principle, IF-sets,
probability |
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abstract: |
P. Grzegorzewski [3] has worked the probability version of the inclusion-exclusion principle and made a
generalization for IF-events. He had applied two
versions of the generalized formula, corresponding
to different t-conorms and so defined the union of
IF-events. This paper contains the generalization of
the Grzegorzewski theorem. We prove it for mappings from the set of IF sets to the unit interval([2],
[1]). Similar generalizations are presented in [4] and
[5]. |
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copyright: |
©
Atlantis Press. This article is distributed under the
terms of the Creative Commons Attribution License, which permits
non-commercial use, distribution and reproduction in any medium,
provided the original work is properly cited. |
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full text: |