Towards fuzzy relational Galois connections between fuzzy T-digraphs

DOI

10.2991/eusflat-19.2019.112How to use a DOI?

Keywords

Galois connection Adjunction Fuzzy preorder

Abstract

In this paper, we give the first steps towards a formal definition of fuzzy relational Galois connection between fuzzy sets with arbitrary fuzzy transitive relations (fuzzy T-digraphs), where the two components of the connection are fuzzy relations. To this end we consider, on the one hand, our definition of relational Galois connection between T-digraphs in the crisp case; and, on the other hand, our definition of fuzzy relational Galois connection between fuzzy preorders. We compare both definitions and conclude that some (fuzzy) generalization of the notion of clique is needed.

Copyright

© 2019, 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  - Inma P. Cabrera
AU  - Pablo Cordero
AU  - Emilio Muñoz-Velasco
AU  - Manuel Ojeda-Aciego
PY  - 2019/08
DA  - 2019/08
TI  - Towards fuzzy relational Galois connections between  fuzzy T-digraphs
BT  - Proceedings of the 11th Conference of the European Society for Fuzzy Logic and Technology (EUSFLAT 2019)
PB  - Atlantis Press
SP  - 820
EP  - 826
SN  - 2589-6644
UR  - https://doi.org/10.2991/eusflat-19.2019.112
DO  - 10.2991/eusflat-19.2019.112
ID  - Cabrera2019/08
ER  -