Determining nonnegative monotone set functions based on Sugeno's integral:an application of genetic algorithms

Regarding the set of all information sources as the universe of discourse, we used a nonnegative monotone set function defined on its power set to des cribe the importance of each individual information source and their varied combinations. Such a set function is called an importance measure or a fuz zy measure. The Sugeno integral with respect to the nonnegative monotone se t function possesses many desired properties, such as the fuzzy linearity w hen the set function is fuzzy additive, and can be adopted as an aggregatio n means in information fusion. In real problems, viewing the Sugeno integra l as a multi-input single-output system, we use a genetic algorithm to dete rmine the values of the importance measure from the input-output data of th e system. (C) 2000 Elsevier Science B.V. All rights reserved.