A prosthetic heart or venous valve, the valve including a central tissue structure with multiple tissue lobes extending from a common central area, wherein each of the lobes includes a longitudinal slot. The valve further includes a plurality of leaflets, each extending from the central tissue structure and positioned between two adjacent lobes, wherein each of the leaflets has a free end spaced from the central tissue structure, and also has a compressible and expandable stent frame with a plurality of extending arms, wherein each of the extending arms of the stent frame is positioned at least partially within one of the longitudinal slots of the central tissue structure.