Optimization of Welded Beam Structure Using Neutrosophic Optimization Technique: A Comparative Study

This paper investigates neutrosophic optimization (NSO) approach to optimize the cost of welding of a welded steel beam, while the maximum shear stress in the weld group, maximum bending stress in the beam, maximum deflection at the tip and buckling load of the beam have been considered as flexible constraints. The problem of designing an optimal welded beam consists of dimensioning a welded steel beam such as height, length, depth, width of welded beam, so as to minimize its cost, subject to the constraints as stated above. The purpose of the present study firstly is to investigate the effect of truth, indeterminacy and falsity membership function in NSO in perspective of welded beam design in imprecise environment and secondly is to analyze the results obtained by different optimization methods like fuzzy, intuitionistic fuzzy and several deterministic methods so that the welding cost of the welded steel beam become most cost-effective. Specifically based on truth, indeterminacy and falsity membership function, a single-objective NSO algorithm has been developed to optimize the welding cost, subjected to a set of flexible constraints. It has been shown that NSO is an efficient method in finding out the optimum value in comparison with other iterative methods for nonlinear welded beam design in precise and imprecise environment. Numerical example is also given to demonstrate the efficiency of the proposed NSO approach.