Concave ( L , M )-fuzzy interior operators and ( L , M )-fuzzy hull operators

In this paper, the notions of (concave) ( L , M )-fuzzy interior operators are introduced. It is proved that the category of ( L , M )-fuzzy concave spaces and the category of concave ( L , M )-fuzzy interior spaces is isomorphic, and there is a Galois correspondence between the category of ( L , M )-fuzzy concave spaces and the category of ( L , M )-fuzzy interior spaces. In addition, ( L , M )-fuzzy hull operators proposed by Sayed et al. (Filomat 33(13):4151–4163, 2019) are further studied. Particularly, some results in Sayed et al. (2019) are corrected.