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In this paper, we introduced two types of fuzzy stabilizers St ⊗ R (F) and St ⊕ R (F) of a fuzzy set F and the stabilizer St are fuzzy filters of M. We investigated some properties of the stabilizers. By introducing the ⊗ operation of two fuzzy filters, we prove that ⊗ and St ∨ (·, ·) form an adjoint pair and the set of all fuzzy filters F (M) is a residuated lattice.doi:10.12785/amis/080544 fatcat:e6tz6yz24rfo5ppgnthgpngjry