Towards fuzzy relational Galois connections between fuzzy T-digraphs
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.
Citation
Please, cite this work as:
[Cab+19] I. P. Cabrera, P. Cordero, E. Mu~noz-Velasco, et al. “Towards fuzzy relational Galois connections between fuzzy T-digraphs”. In: Proceedings of the 11th Conference of the European Society for Fuzzy Logic and Technology, EUSFLAT 2019, Prague, Czech Republic, September 9-13, 2019. Ed. by V. Novák, Vladim'', M. Stepnicka, M. Navara and P. Hurt'. Vol. 1. Atlantis Studies in Uncertainty Modelling. Atlantis Press, 2019. DOI: 10.2991/EUSFLAT-19.2019.112. URL: https://doi.org/10.2991/eusflat-19.2019.112.