A New Extended Soft Intersection Set to M,N-SI Implicative Fitters of BL-Algebras

الملخص EN

Molodtsov’s soft set theory provides a general mathematical framework for dealing with uncertainty.

The concepts of (M,N)-SI implicative (Boolean) filters of BL-algebras are introduced.

Some good examples are explored.

The relationships between (M,N)-SI filters and (M,N)-SI implicative filters are discussed.

Some properties of (M,N)-SI implicative (Boolean) filters are investigated.

In particular, we show that (M,N)-SI implicative filters and (M,N)-SI Boolean filters are equivalent.