The concept of interval-valued fuzzy soft $β$-covering approximation spaces (IFS$β$CASs) is introduced to combine the theories of soft sets, rough sets and interval-valued fuzzy sets, and some fundamental propositions concerning interval-valued fuzzy soft $β$-neighborhoods and soft $β$-neighborhoods of IFS$β$CASs are explored. And then four kinds of interval-valued fuzzy soft $β$-coverings based fuzzy rough sets are researched. Finally, the relationships of four kinds of interval-valued fuzzy soft $β$-coverings based fuzzy rough sets are investigated.