Uninorms and nullnorms on the set of discrete fuzzy numbers

DOI

10.2991/eusflat.2011.137How to use a DOI?

Keywords

Uninorm, nullnorm, discrete fuzzy number, finite chain, lattice.

Abstract

In this paper a method to extend discrete uninorms and nullnorms on the finite chain L = {0, . . . , n}, to uninorms and nullnorms defined on the set of discrete fuzzy numbers whose support is a set of consecutive natural numbers contained in L is presented. Some basic properties of discrete uninorms and nullnorms are preserved by this extension method and the structure of these kinds of aggregations is maintained too. Finally, we develop an application to obtain the group consensus opinion based on the extension of discrete uninorms and nullnorms.

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  - Juan Vicente Riera
AU  - Joan Torrens
PY  - 2011/08
DA  - 2011/08
TI  - Uninorms and nullnorms on the set of discrete fuzzy numbers
BT  - Proceedings of the 7th conference of the European Society for Fuzzy Logic and Technology (EUSFLAT-11)
PB  - Atlantis Press
SP  - 59
EP  - 66
SN  - 1951-6851
UR  - https://doi.org/10.2991/eusflat.2011.137
DO  - 10.2991/eusflat.2011.137
ID  - Riera2011/08
ER  -