Abstract
From the point of view of algebraic logic, this paper presents an algebraic analysis for binary intuitionistic lattice-valued fuzzy relations based on lattice implication algebras, which is a kind of lattice-valued propositional logical algebras. By defining suitable operations, we prove that the set of all binary intuitionistic lattice-valued fuzzy relations is a lattice-valued relation algebra, and some important properties are also obtained. This research shows that the algebraic description is advantageous to studying of structure of intuitionistic fuzzy relations.
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