  The aim of this paper is to introduce the notion of bipolar fuzzy soft
hypervector spaces and study their basic properties. In this regard, at first
some new operation and external hyperoperation are defined on bipolar fuzzy
soft sets over hypervector space V, related to the operation and external
hyperoperation of V. Then the notion of bipolar fuzzy soft hypervector space is
defined, supported by non-trivial examples, and it is investigated that the new
bipolar fuzzy soft sets, constructed by the mentioned operation and
hyperoperation, are bipolar fuzzy soft hypervector spaces. Finally, the
behavior of bipolar fuzzy soft hypervector spaces under linear transformations
is studied.
