Double-framed soft filters in lattice implication algebras

Abstract

The notion of DFS-filter (double-framed soft filter) in lattice implication algrebras is introduced and characteristics of DFS-filters are discussed and related result are investigated. We defined IDFS-filter (implicative double-framed soft filter) and extension property for IDFS-filters is established.  We maked PIDFS-filter (positive implicative double-framed soft filter) and investigated its properties.  Finally, relation between  DFS-filter, IDFS-filter and PIDFS-filter discussed are.