Using fuzzy bases to resolve nonlinear programming problems

In this paper we introduce the concept of fuzzy bases and its usefulness in solving optimization problems with a nonlinear objective function and line ar constraints. We investigate the properties of fuzzy bases and operationa lize them in fuzzy interpolation. The NLP can be relaxed into a bilinear pr ogram with a simple structure using fuzzy interpolation, irrespective of wh ether the objective function is convex or not. If the objective function is convex, we prove that the optimization problem can be transformed into an ordinary LP using fuzzy (linear) bases. (C) 2001 Elsevier Science B.V. All rights reserved.