Newton method for solving the multi-variable fuzzy optimization problem
The study is concerned with the following multivariable fuzzy optimization problem \[ \text{Minimize } f(x),\;x\in X, \] where \(f: X\to F(R)\) is a fuzzy-valued function, \(X\subset\mathbb{R}^n\), and \(F(R)\) is a family of fuzzy sets defined in \(R\). Considering a fuzzy-max order partial order relation defined on a set of fuzzy numbers and employing Hukuhara differentiability, proposed is the Newton method to solve the above optimization problem. The convergence of the Newton method is shown and a detailed optimization algorithm is provided. Some illustrative numeric examples are included.
scientific article; zbMATH DE number 6161535
scientific article