Key points are not available for this paper at this time.
In this paper, the notion of L-convex fuzzy sublattices is introduced and their characterizations are given. Furthermore, the notion of the degree to which an L-subset is an L-convex fuzzy sublattice is proposed and its some characterizations are given. Besides, the L-convex fuzzy sublattice degrees of the homomorphic image and pre-image of an L-subset are studied. Finally, we obtain an L-fuzzy convexity, which is induced by the L-convex fuzzy sublattice degrees, in the sense of Shi and Xiu.
Li et al. (Mon,) studied this question.