Intuitionistic Fuzzy Multi–Objective Structural Optimization using Non-linear Membership Functions

  IJCOT-book-cover
 
International Journal of Computer & Organization Trends  (IJCOT)          
 
© 2017 by IJCOT Journal
Volume - 7 Issue - 2
Year of Publication : 2017
Authors :  Samir Dey
DOI : 10.14445/22492593/IJCOT-V41P303

Citation

Samir Dey "Intuitionistic Fuzzy Multi–Objective Structural Optimization using Non-linear Membership Functions", International Journal of Computer & organization Trends (IJCOT), V7(2):14-20 Mar - Apr 2017, ISSN:2249-2593, www.ijcotjournal.org. Published by Seventh Sense Research Group.

Abstract

In this paper, we develop an intuitionistic fuzzy optimization approach using non-linear membership and non-membership function for optimizing multi objective structural model. 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 given to demonstrate the efficiency of the Intuitionistic fuzzy optimization approach with non-linear membership function. A three-bar planar truss subjected to a single load condition is considered as a test problem. Numerical example is given to illustrate our approach.

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Keywords
Structural Design, Intuitionistic fuzzy optimization, Non-linear membership and nonmembership function.