Liu in 2007 has introduced the theory of uncertainty
[](#ref-0020). The structure of the present paper is to
define some new type of generalized ∆- operator on this theory of
uncertainty by employing the notion of sequence spaces. Some basic
structures will be computed. Also, some sharp inclusion relations with
counter examples concerning to the newly constructed spaces of this
paper will be computed. Mathematical Subject Classification
2010: 46A45; 60F17.