Intuitionistic fuzzy relation equations

In this paper, we extend the fuzzy relation equations to intuitionistic fuzzy relation equations. The definition of intuitionistic fuzzy relation equations is proposed on the basis of theory of fuzzy relation equation. Intuitionistic fuzzy relation equation is an L-fuzzy relation equation. The method with special significance is obtained as the lattice is embodied. The solvability criteria for the intuitionistic fuzzy relation equations are given, and the maximum solution of intuitionistic fuzzy relation equation is research.