On Convergence of Fuzzy Integrals over Complete Residuated Lattices

DOI

10.2991/eusflat.2011.68How to use a DOI?

Keywords

Fuzzy integral, fuzzy quantifier, convergence, fuzzy measure

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.

Copyright

© 2011, the Authors. Published by Atlantis Press.

Open Access

This is an open access article distributed under the CC BY-NC license (http://creativecommons.org/licenses/by-nc/4.0/).

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TY  - CONF
AU  - Antonín Dvorak
AU  - Michal Holcapek
PY  - 2011/08
DA  - 2011/08
TI  - On Convergence of Fuzzy Integrals over Complete Residuated Lattices
BT  - Proceedings of the 7th conference of the European Society for Fuzzy Logic and Technology (EUSFLAT-11)
PB  - Atlantis Press
SP  - 98
EP  - 105
SN  - 1951-6851
UR  - https://doi.org/10.2991/eusflat.2011.68
DO  - 10.2991/eusflat.2011.68
ID  - Dvorak2011/08
ER  -