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

Jun Ye ()
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Jun Ye: Department of Electrical and Information Engineering, Shaoxing University, 508 Huancheng West Road, Shaoxing Zhejiang Province 312000, P. R. China

New Mathematics and Natural Computation (NMNC), 2018, vol. 14, issue 03, 295-305

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 I and the indeterminate scale λ. 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.

Keywords: Neutrosophic number; neutrosophic number optimization method; neutrosophic number optimization model; indeterminate scale; truss structure design (search for similar items in EconPapers)
Date: 2018
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Citations: View citations in EconPapers (1)

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DOI: 10.1142/S1793005718500187

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