In the formalism of generalized holographic dark energy (HDE), cut-off is to depend upon LIR=LIRLp,L?p,L¨p,?,Lf,L?f,?,a with Lp and Lf being particle horizon future horizon, respectively (moreover, a scale factor Universe). Based on such formalism, in present paper, we show that wide class (DE) models can be regarded as different candidates for HDE family, respective cut-offs. This thought symm...