Towards relational fuzzy adjunctions
Abstract
The problem of studying the existence of a right adjoint for a mapping defined between sets with different fuzzy structure naturally leads to the search of new notions of adjunction which fit better with the underlying structure of domain and codomain. In this work, we introduce a version of relational fuzzy adjunction between fuzzy preposets which generalizes previous approaches in that its components are fuzzy relations. We also prove that the construction behaves properly with respect to the formation of quotient with respect to the symmetric kernel relation.
Citation
Please, cite this work as:
[CCO17] I. P. Cabrera, P. Cordero, and M. Ojeda-Aciego. “Towards relational fuzzy adjunctions”. In: 2017 IEEE International Conference on Fuzzy Systems, FUZZ-IEEE 2017, Naples, Italy, July 9-12, 2017. IEEE, 2017, pp. 1-5. DOI: 10.1109/FUZZ-IEEE.2017.8015677. URL: https://doi.org/10.1109/FUZZ-IEEE.2017.8015677.
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Papers citing this work
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[1] I. P. Cabrera, P. Cordero, E. Muñoz-Velasco, et al. “Towards fuzzy relational Galois connections between fuzzy T-digraphs”. In: Proceedings of the 2019 Conference of the International Fuzzy Systems Association and the European Society for Fuzzy Logic and Technology (EUSFLAT 2019). eusflat-19. Atlantis Press, 2019. DOI: 10.2991/eusflat-19.2019.112. URL: http://dx.doi.org/10.2991/eusflat-19.2019.112.
[2] I. P. Cabrera, P. Cordero, E. Muñoz-Velasco, et al. “Relational Galois connections between transitive digraphs: Characterization and construction”. In: Information Sciences 519 (May. 2020), p. 439–450. ISSN: 0020-0255. DOI: 10.1016/j.ins.2020.01.034. URL: http://dx.doi.org/10.1016/j.ins.2020.01.034.