Triangular norms which are join-morphisms in 3-dimensional fuzzy set theory

DOI

10.2991/eusflat.2013.12How to use a DOI?

Keywords

Triangular norm join-morphism interval-valued fuzzy set Atanassov's intuitionistic fuzzy set interval-valued intuitionistic fuzzy set n-dimensional fuzzy set

Abstract

The n-dimensional fuzzy sets have been introduced as a generalization of interval-valued fuzzy sets, Atanassov's intuitionistic and interval-valued intuitionistic fuzzy sets. In this paper we investigate t-norms on 3-dimensional sets which are join-morphisms. Under some additional conditions we show that they can be represented using a representation which generalizes a similar representation for t-norms in interval-valued fuzzy set theory.

Copyright

© 2013, 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  - Glad Deschrijver
PY  - 2013/08
DA  - 2013/08
TI  - Triangular norms which are join-morphisms in 3-dimensional fuzzy set theory
BT  - Proceedings of the 8th conference of the European Society for Fuzzy Logic and Technology (EUSFLAT-13)
PB  - Atlantis Press
SP  - 80
EP  - 87
SN  - 1951-6851
UR  - https://doi.org/10.2991/eusflat.2013.12
DO  - 10.2991/eusflat.2013.12
ID  - Deschrijver2013/08
ER  -