A flexible force or pressure sensing mat includes a first sheet of electrically conductive first paths, a second sheet of electrically conductive second paths, and a sensing layer positioned between the first and second sheets. The first and second conductive paths are oriented transversely to each other, and the locations of their intersections define individual sensing areas or sensors. The sensing layer is made from materials that have first and second electrical characteristics—such as capacitance and resistance—that vary in response to physical forces exerted thereon. A controller repetitively measures the multiple electrical characteristics of each sensor in order to produce a near real time pressure distribution map of the forces sensed by the mat. The mat can be used on a patient support surface—such as a bed, cot, stretcher, recliner, operating table, etc.—to monitor and help reduce the likelihood of a patient developing pressure ulcers.