Constructing consistent fuzzy surfaces from fuzzy data
Given fuzzy data describing a three-dimensional entity such as terrain, we develop methods to construct surfaces that are consistent with the uncertainty in the data and surface model itself. In particular, surfaces generated from higher a-cut values of the fuzzy data are contained within the surfaces generated by lower a-cut values of the fuzzy data. Moreover, the smoothness and continuity conditions of the surface generating method is maintained by each level surface. We demonstrate the ideas by developing two- and three-dimensional surfaces from fuzzy data for cubic splines and digital terrain models generated from triangulation. (C) 2002 Elsevier Science B.V. All rights reserved.
fuzzy surface fuzzy numbers fuzzy interpolation fuzzy dtm