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
Pages
20
From page
83
To page
102
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)
Serial Year
2017
Record number
2509304
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