title: A new extended soft intersection set to (M, N)-SI implicative fitters of BL-algebras.
abstract: 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.
authors.affiliation: Department of Mathematics, Hubei Minzu University, Enshi, Hubei 445000, China.
authors.forename: Jianming
authors.identifier: 0000-0003-2510-9515
authors.initials: J
authors.lastname: Zhan
authors.affiliation: Department of Mathematics, Hubei Minzu University, Enshi, Hubei 445000, China.
authors.forename: Qi
authors.identifier: 0000-0003-1324-7080
authors.initials: Q
authors.lastname: Liu
authors.affiliation: Department of Mathematics, Hanyang University, Seoul 133-791, Republic of Korea.
authors.forename: Hee Sik
authors.initials: HS
authors.lastname: Kim
mesh_terms: D000465:Algorithms; D008433:Mathematics