Optimization of Welded Beam with Imprecise Load and Stress by Parameterized Neutrosophic Optimization Technique

AUTHOR AND
AFFILIATION

MRIDULA SARKAR (msarkar.rs2014@math.iiests.ac.in)
Department of Mathematics, 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:

Single valued Neutrosophic set, Generalized Neutrosophic Number, Nearest Interval Approximation, Interval Valued Function, Neutrosophic Optimization, Welded Beam Optimization, Subject classification code:90C30, 90C70, 90C90

Issue Date:

July, 2017

Pages:

220-242

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/290702

ABSTRACT:

This paper develops a solution procedure of Neutrosophic Optimization (NSO) to solve optimum welded beam design with inexact co-efficient and resources. Interval approximation method is used here to convert the imprecise co-efficient which is a triangular neutrosophic number to an interval number. We transform this interval number to a parametric interval valued functional form and then solve this parametric problem by NSO technique. Usually interval valued optimization consist of two level mathematical programs, but a parametric interval valued optimization in neutrosophic environment is direct approach to find the objective function, this is the main advantage. In this paper we have considered a welded beam design with cost of welding as objective and the maximum shear stress in the weld group, maximum bending stress in the beam, buckling load of the beam and deflection at the tip of a welded steel beam as constraints .Numerical example is given here to illustrate this structural model through this approximation method.

Copy the following to cite this Article:

M. Sarkar; T. K. Roy, “Optimization of Welded Beam with Imprecise Load and Stress by Parameterized Neutrosophic Optimization Technique”, Journal of Ultra Scientist of Physical Sciences, Volume 29, Issue 7, Page Number 220-242, 2017


Copy the following to cite this URL:

M. Sarkar; T. K. Roy, “Optimization of Welded Beam with Imprecise Load and Stress by Parameterized Neutrosophic Optimization Technique”, Journal of Ultra Scientist of Physical Sciences, Volume 29, Issue 7, Page Number 220-242, 2017

Available from: http://www.ultrascientist.org/paper/818/optimization-of-welded-beam-with-imprecise-load-and-stress-by-parameterized-neutrosophic-optimization-technique


This paper develops a solution procedure of Neutrosophic Optimization (NSO) to solve optimum welded beam design with inexact co-efficient and resources. Interval approximation method is used here to convert the imprecise co-efficient which is a triangular neutrosophic number to an interval number. We transform this interval number to a parametric interval valued functional form and then solve this parametric problem by NSO technique. Usually interval valued optimization consist of two level mathematical programs, but a parametric interval valued optimization in neutrosophic environment is direct approach to find the objective function, this is the main advantage. In this paper we have considered a welded beam design with cost of welding as objective and the maximum shear stress in the weld group, maximum bending stress in the beam, buckling load of the beam and deflection at the tip of a welded steel beam as constraints .Numerical example is given here to illustrate this structural model through this approximation method.