2015•Journal of Nanchang Institute of TechnologyRequires access

Approximate elements in fuzzy complete lattices

Rao Sanpin

Abstract

Since the approximate elements play an important role in characterizing crisp completely distributive lattices,we propose the notion of an approximate element in a fuzzy complete lattice based on completed residuated lattices,which generalize the relative concept in crisp complete lattices. It provides a new approach to explore fuzzy completely distributive lattices. With the help of approximate elements,we obatin an equivalent characterization between fuzzy completely distributive lattices and the interpolation property.

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Key concepts: Distributive property, Complete lattice, Distributive lattice, Fuzzy logic, Lattice (music), Mathematics, Property (philosophy), Element (criminal law)