An Improved Neutrosophic Number Optimization Method for Optimal Design of Truss Structures

Abstract

To overcome the complex calculation and difficult solution problems in existing solution methods of neutrosophic number (NN) optimization models, this paper proposes an improved NN optimization method to solve NN optimization models by use of the Matlab built-in function “fmincon()” corresponding to the indeterminacy [Formula: see text] and the indeterminate scale [Formula: see text]. Next, the proposed NN optimization method is applied to a three-bar planar truss structural design with indeterminate information to achieve the minimum weight objective under stress and deflection constraints as a NN nonlinear optimization design example. The optimal solutions of the truss structural design demonstrate the feasibility and flexibility of the proposed NN nonlinear optimization method under indeterminate environment. Finally, by taking some specified indeterminate scale we can also obtain a suitable optimal solution to satisfy some specified actual requirement under indeterminate environments.