%0 Journal Article
%T L-FUZZY CONVEXITY INDUCED BY L-CONVEX FUZZY SUBLATTICE DEGREE
%J Iranian Journal of Fuzzy Systems
%I University of Sistan and Baluchestan
%Z 1735-0654
%A Li, Juan
%A Shi, Fu Gui
%D 2017
%\ 10/30/2017
%V 14
%N 5
%P 83-102
%! L-FUZZY CONVEXITY INDUCED BY L-CONVEX FUZZY SUBLATTICE DEGREE
%K $L$-convex fuzzy sublattice
%K Implication operator
%K $L$-convex fuzzy sublattice degree
%K $L$-fuzzy convexity
%R 10.22111/ijfs.2017.3434
%X 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.
%U https://ijfs.usb.ac.ir/article_3434_b495c3e9632ab62dfe43bbdb7a7956a4.pdf