Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
470552 | Computers & Mathematics with Applications | 2012 | 9 Pages |
Abstract
In this paper, the concept of an (∈,∈∨qk)(∈,∈∨qk)-fuzzy sublattice (ideal, filter) and (∈¯,∈¯∨q¯k)-fuzzy sublattice (ideal, filter) in a lattice is introduced, which is a generalization of the concept as given by Davvaz and Kazancı(2011) [18]. Characterizations for an (∈,∈∨qk)(∈,∈∨qk)-fuzzy sublattice (ideal, filter) and (∈¯,∈¯∨q¯k)-fuzzy sublattice (ideal, filter) are provided. Different classes of lattices are characterized by the properties of these fuzzy sublattices (ideals, filters). Using the notions of a fuzzy sublattice (ideal, filter) with thresholds, characterization of a fuzzy sublattice (ideal, filter), an (∈,∈∨qk)(∈,∈∨qk)-fuzzy sublattice (ideal, filter) and (∈¯,∈¯∨q¯k)-fuzzy sublattice (ideal, filter) are discussed.
Keywords
Related Topics
Physical Sciences and Engineering
Computer Science
Computer Science (General)
Authors
O. Kazancı, B. Davvaz,