title: |
On Convergence of Fuzzy Integrals over Complete Residuated Lattices |
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publication: |
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part of series: |
Advances in Intelligent Systems Research | |
| pages: | 98 - 105 | |
DOI: |
To be assigned soon (how to use a DOI) | |
author(s): |
Anton¨ªn Dvor¨¢k, Michal Holcapek |
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publication date: |
July 2011 |
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keywords: |
Fuzzy integral, fuzzy quantifier, convergence, fuzzy measure |
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abstract: |
Recently we proposed a new type of fuzzy integrals
defined over complete residuated lattices. These integrals are intended for the modeling of type 1, 1
fuzzy quantifiers. An interesting theoretical question is, how to introduce various notions of convergence of this type of fuzzy integrals. In this contribution, we would like to present some results on
strong and pointwise convergence of these fuzzy integrals, where the operation of the biresiduum is
used to establish the measurement how close two
elements of a residuated lattice are. |
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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: |