Abstract

MESA, Eddy; VELASQUEZ, Juan David  and  JARAMILLO, Patricia. GENERATION OF COMPLEX NONLINEAR BENCHMARK FUNCTIONS FOR OPTIMIZATION USING FUZZY SETS AND CLASSICAL TEST FUNCTIONS. Rev. ing. univ. Medellín [online]. 2011, vol.10, n.19, pp.171-177. ISSN 1692-3324.

In this paper, we present a novel methodology to generate complex functions using two-dimensional fuzzy sets as weights for combining classical benchmark functions. These new functions have different characteristics from original ones, but the minimum, borders and geometry characteristics of the functions are still known. Three different combinations of two functions (Rosenbrock and Bukin's F4) are used to exemplify the method and its potential to generate specific test functions to study and improve optimization methods.

Keywords : minimization; maximization; fuzzy operators; global optimization; test problems.

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