Fuzzy Galois connections on Alexandrov L-topologies

Article type: Research Article

Authors: Oh, Ju-Mok | Kim, Yong Chan^{; *}

Affiliations: Department of Mathematics, Gangneung-Wonju National University, Gangneung, Gangwondo, Korea

Correspondence: [*] Corresponding author. Yong Chan Kim, Department of Mathematics, Gangneung-Wonju National University, Gangneung, Gangwondo 25457, Korea. E-mail: [email protected].

Abstract: In this paper, we introduce the notion of Galois and dual Galois connections as a topological viewpoint of concept lattices in a complete residuated lattice. Under various relations, we investigate the Galois and dual Galois connections on Alexandrov L-topologies. Moreover, their properties and examples are investigated.

Keywords: Complete residuated lattices, Alexandrov L-topologies, Galois and dual Galois connections

DOI: 10.3233/JIFS-191548

Journal: Journal of Intelligent & Fuzzy Systems, vol. 40, no. 1, pp. 251-270, 2021