On the Newton method for solving fuzzy optimization problems

Description

In this article we consider optimization problems where the objectives are fuzzy functions (fuzzy-valued functions). For this class of fuzzy optimization problems we discuss the Newton method to find a non-dominated solution. For this purpose, we use the generalized Hukuhara differentiability notion, which is the most general concept of existing differentiability for fuzzy functions. This work improves and correct the Newton Method previously proposed in the literature.

Abstract

Fondo Nacional de Desarrollo Científico y Tecnológico (Chile)

Abstract

Ministerio de Ciencia y Tecnología

Abstract

Conselho Nacional de Desenvolvimento Científico e Tecnológico (Brasil)

Abstract

Centro de Pesquisa em Matemática Aplicada à Indústria (Fundação de Amparo à Pesquisa do Estado de São Paulo)

Additional details