Truss Design Optimization using Neutrosophic Optimization Technique

Authors

  • Mridula Sarkar Department of Mathematics, Indian Institute of Engineering Science and Technology, Shibpur,P.O.-Botanic Garden, Howrah-711103, West Bengal, India.
  • Samir Dey Department of Mathematics, Asansol Engineering College,Vivekananda Sarani, Asansol-713305, 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, Non-linear Membership Function, Structural Optimization

Abstract

Abstract: In this paper, we develop a neutrosophic optimization (NSO) approach for optimizing the design of plane truss structure with single objective subject to a specified set of constraints. In this optimum design formulation, the objective functions are the weight of the truss and the deflection of loaded joint; the design variables are the crosssections of the truss members; the constraints are the stresses in members. A classical truss optimization example is presented to demonstrate the efficiency of the neutrosophic optimization approach. The test problem includes a two-bar planar truss subjected to a single load condition. This singleobjective structural optimization model is solved by fuzzy and intuitionistic fuzzy optimization approach as well as neutrosophic optimization approach. A numerical example is given to illustrate our NSO approach. The result shows that the NSO approach is very efficient in finding the best optimal solutions.

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Published

2016-12-15

Issue

Section

SI#1,2024: Neutrosophical Advancements And Their Impact on Research

How to Cite

Sarkar, M. ., Dey, S. ., & Kumar Roy, T. . (2016). Truss Design Optimization using Neutrosophic Optimization Technique. Neutrosophic Sets and Systems, 13, 62-69. http://fs.unm.edu/nss8/index.php/111/article/view/512