Applied Mathematics & Information Sciences

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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∨(F, G) of F with respect to G in IMTL-algebras. We proved that St⊗ R (F), St⊕ R (F) and St∨(F, G) are fuzzy filters of M. We investigated some properties of the stabilizers. By introducing the e⊗ operation of two fuzzy filters, we prove that e⊗ and St∨(·, ·) form an adjoint pair and the set of all fuzzy filters F(M) is a residuated lattice.

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