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- Title
L-FUZZY CONVEXITY INDUCED BY L-CONVEX FUZZY SUBLATTICE DEGREE.
- Authors
J. LI; F. G. SHI
- Abstract
In this paper, th e notion of L-convcx fuzzy sublattices is introduced and th eir characterizations are given. Furthermore, th e notion of the degree to which an L-subset is an L-convex fuzzy sublatticc is proposed and its some characterizations arc given. Besides, the L-convex fuzzy sublatticc degrees of th e homomorphic image and pre-image of an L-subset are studied. Finally, we ob tain an L-fuzzy convexity, which is induced by th e L -convex fuzzy su b lattice degrees, in the sense of Shi and Xiu.
- Subjects
FUZZY sets; CONVEX domains; LATTICE theory; TOPOLOGICAL degree; HOMOMORPHISMS
- Publication
Iranian Journal of Fuzzy Systems, 2017, Vol 14, Issue 5, p83
- ISSN
1735-0654
- Publication type
Article