Multi-objective Structural Optimization Using Fuzzy and Intuitionistic Fuzzy Optimization Technique

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Samir Deya 1,* Tapan Kumar Roy 2

1. Department of Mathematics, Asansol Engineering College, Vivekananda Sarani, Asansol-713305, West Bengal, India

2. Department of Mathematics, Indian Institute of Engineering Science and Technology, Shibpur. P.O.-Botanic Garden, Howrah-711103, West Bengal, India

* Corresponding author.


Received: 10 Aug. 2014 / Revised: 10 Nov. 2014 / Accepted: 11 Jan. 2015 / Published: 8 Apr. 2015

Index Terms

Multi-Objective Optimization, Fuzzy Optimization, Intuitionistic Fuzzy Optimization, Membership Function, Non Membership Function, Structural Optimization


In this paper, we develop an intuitionistic fuzzy optimization (IFO) approach for optimizing the design of plane truss structure with multiple objectives 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 cross-sections of the truss members; the constraints are the stresses in members. A classical truss optimization example is presented here in to demonstrate the efficiency of the Intuitionistic fuzzy optimization approach. The test problem includes a three-bar planar truss subjected to a single load condition. This multi-objective structural optimization model is solved by fuzzy optimization approach as well as intuitionistic fuzzy optimization approach. Numerical example is given to illustrate our approach. The result shows that the IFO approach is very efficient in finding the best discovered optimal solutions.

Cite This Paper

Samir Dey, Tapan Kumar Roy, "Multi-objective Structural Optimization Using Fuzzy and Intuitionistic Fuzzy Optimization Technique", International Journal of Intelligent Systems and Applications(IJISA), vol.7, no.5, pp.57-65, 2015. DOI:10.5815/ijisa.2015.05.08


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