Title of article :
L-FUZZY CONVEXITY INDUCED BY L-CONVEX FUZZY SUBLATTICE DEGREE
Author/Authors :
Li, Juan School of Mathematics - Beijing Institute of Technology , PR China , Shi, Fu Gui School of Mathematics - Beijing Institute of Technology , PR China
Abstract :
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
Keywords :
$L$-convex fuzzy sublattice , Implication operator , $L$-convex fuzzy sublattice degree , $L$-fuzzy convexity
Journal title :
Iranian Journal of Fuzzy Systems (IJFS)
