| |
|
|
|
Fuzzy Stabilizer in IMTL-Algebras |
|
|
|
PP: 2479-2484 |
|
|
|
Author(s) |
|
|
|
Maosen Xie,
|
|
|
|
Abstract |
|
|
| 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. |
|
|
|
|
 |
|
