SOME RESULTS ON FUZZY SUB POSITIVE IMPLICATIVE FILTERS OF NON-COMMUTATIVE RESIDUATED LATTICE

The theory of filters and fuzzy filters in logical algebras play a vital role in reasoning mechanism in information sciences, computer sciences, theory of control, artificial intelligence and many other important fields. We introduce the concept of fuzzy sub positive implicative filters of residuated lattice and investigate the properties of it, and further characterize the fuzzy sub positive implicative filters by proposing the equivalent conditions that a fuzzy filters to be a fuzzy sub positive implicative filters.