Multi-Objective Welded Beam Optimization using Neutrosophic Optimization Technique: A Comparative Study

AUTHOR AND
AFFILIATION

MRIDULA SARKAR (mridula.sarkar86@rediffmail.com)
Department of Mathematics, Indian Institute of Engineering Science and Technology, Shibpur. P.O.-Botanic Garden, Howrah-711103, West Bengal (India)
SWARUP GHOSH
Department of Civil Engineering, Indian Institute of Engineering Science and Technology, Shibpur. P.O.-Botanic Garden, Howrah-711103, West Bengal, India
TAPAN KUMAR ROY
Department of Mathematics, Indian Institute of Engineering Science and Technology, Shibpur. P.O.-Botanic Garden, Howrah-711103, West Bengal (India)

KEYWORDS:

Neutrosophic Set, Single Valued Neutrosophic Set, Neutrosophic Optimization, Multi- Objective welded, beam optimization, Subject classification code:90C30, 90C70, 90C90

Issue Date:

July, 2017

Pages:

243-263

ISSN:

2319-8044 (Online) – 2231-346X (Print)

Source:

Vol.29 – No.7

PDF

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DOI:

http://dx.doi.org/10.22147/jusps-A/290703

ABSTRACT:

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

Copy the following to cite this Article:

M. Sarkar; S. Ghosh; T. K. Roy, “Multi-Objective Welded Beam Optimization using Neutrosophic Optimization Technique: A Comparative Study”, Journal of Ultra Scientist of Physical Sciences, Volume 29, Issue 7, Page Number 243-263, 2017


Copy the following to cite this URL:

M. Sarkar; S. Ghosh; T. K. Roy, “Multi-Objective Welded Beam Optimization using Neutrosophic Optimization Technique: A Comparative Study”, Journal of Ultra Scientist of Physical Sciences, Volume 29, Issue 7, Page Number 243-263, 2017

Available from: http://www.ultrascientist.org/paper/819/multi-objective-welded-beam-optimization-using-neutrosophic-optimization-technique-a-comparative-study


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