Truss Design Optimization with Imprecise Load and Stress in Intuitionistic Fuzzy Environment

Author:
MRIDULA SARKAR* and TAPAN KUMAR ROY
Affiliation:

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

Email of Corresponding Author: mridula.sarkar86@rediffmail.com

Keyword:
Triangular Intuitionistic Fuzzy Number, Total Integral Value, Ranking of Intuitionistic Fuzzy Number, Multi-Objective Intuitionistic Optimization, Structural Optimization
Issue Date:
February, 2017
Abstract:

In this paper, we have introduced a intuitionistic fuzzy mathematical programming with intuitionistic fuzzy number as co-efficient of objectives. Real world engineering problems are usually designed with imprecise parameter by the presence of many conflicting objectives. In this paper we develop an approach to solve multi-objective structural design using probabilistic operator. Here total integral values of triangular intuitionistic fuzzy number,and it has been used for imprecise applied load and material density in the test problem. In this paper we have considered a multi objective structural optimization model with weight and deflection as objectives and stress as constraint function. Here design variables are considered as cross sectional area of bars. This classical truss design example is presented here in to demonstrate the significance of our proposed optimization approach. Numerical example is given here to illustrate this structural model through this approximation method.

Pages:
12-23
ISSN:
2319-8052 (Online) - 2231-3478 (Print)
Source:
DOI:
http://dx.doi.org/10.22147/jusps-B/290201
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Copy the following to cite this article:

MRIDULA SARKAR* and TAPAN KUMAR ROY, "Truss Design Optimization with Imprecise Load and Stress in Intuitionistic Fuzzy Environment", Journal of Ultra Scientist of Physical Sciences, Volume 29, Issue 2, Page Number 12-23, 2017

Copy the following to cite this URL:

MRIDULA SARKAR* and TAPAN KUMAR ROY, "Truss Design Optimization with Imprecise Load and Stress in Intuitionistic Fuzzy Environment", Journal of Ultra Scientist of Physical Sciences, Volume 29, Issue 2, Page Number 12-23, 2017

Available from: http://www.ultraphysicalsciences.org/paper/767/

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