Author(s): Marouf A. Samhan and Fawzi A. Al-Thukair
Article publication date: 1994-08-01
Vol. 12 No. 2 (yearly), pp. 187-198.
196
Keywords
Lattice, fuzzy ideal, fuzzy filter, fuzzy prime, fuzzy maximal, fuzzy convex
Abstract
In this paper we study fuzzy convex sublattice, fuzzy ideals (filters), fuzzy prime ideals, (filters) on a lattice and give a characterization of these concepts by their level sets. The fuzzy convex sublattices are represented in terms of fuzzy ideal and filters. Fuzzy maximal ideals (filters) are introduced, and in a special distributive lattices, the fuzzy maximal ideals (filters) are characterized in relation to fuzzy prime ideals (filters).