1. An apparatus for sensing or monitoring one or more tire parameters related to tire deformation comprising; a deformable tire body having an outer wall for contact with a surface, opposite side walls, and an inside; at least one flexible sensing assembly positioned across an area on the inside of the tire body, wherein the at least one flexible sensing assembly is positioned to sense tire deformation at the area and produce sensor data; the flexible sensing assembly comprising a soft dielectric capacitor, soft resistor, or combined soft capacitor and resistor sensing assembly structure comprising: (1) a bonding layer disposed to bond the sensing assembly structure to the area on the inside of the tire body without affecting compliancy of the sensing assembly with deformation of the tire at the area; (2) a compliant dielectric layer comprising a soft, elastic dielectric material having a first surface and a second surface and which is compliant with deformation of the tire at the area, and a thickness defined between the first surface and the second surface, a deformation of the soft dielectric material producing a change in capacitance and/or resistance, and (3) electrodes disposed in opposition on the first and second surfaces of the soft dielectric material, wherein the electrodes are configured to operate in conjunction with the compliancy of the soft dielectric material; a communications interface operatively connected with the flexible sensing assembly to communicate signals representative of capacitance and/or resistance from which the parameters related to tire deformation can be derived.