The Interval-valued Fuzzy Soft Set And Soft Set The Scope

In　this　paper,　we　study　interval　value　fuzzy　soft　sets　and　SS (U ).　We　introduce　a　concept　of　interval　value　fuzzy　soft　sets　based　on　the　theory　of　interval　value　fuzzy　sets　and　soft　sets.　We　generalize　the　theory　of　interval　value　fuzzy　sets　about　definition,　theorem　and　properties　to　interval　value　fuzzy　soft　sets:　the　concept　of　interval　value　fuzzy　soft　subset,　equality　of　two　interval　value　fuzzy　soft　sets,　complement　of　an　interval　value　fuzzy　soft　set,　null　interval　value　fuzzy　soft　set　and　absolute　interval　value　fuzzy　soft　set.　We　discuss　about　the　operations　and　properties,　and　give　some　proof　and　examples.　We　introduce　the　concept　of　SS (U )　and FSS (U ),　and　discuss　about　the　properties　of　Topos.