Intuitionistic Fuzzy Optimization of Truss Design: A Comparative Study

  IJCOT-book-cover
 
International Journal of Computer & Organization Trends  (IJCOT)          
 
© 2016 by IJCOT Journal
Volume - 6 Issue - 6
Year of Publication : 2016
AuthorsBiswajit Singh, Mridula Sarkar, Tapan Kumar Roy
  10.14445/22492593/IJCOT-V37P306

MLA

Biswajit Singh, Mridula Sarkar, Tapan Kumar Roy"Intuitionistic Fuzzy Optimization of Truss Design: A Comparative Study", International Journal of Computer & organization Trends (IJCOT), V6(6):25-33 Nov - Dec 2016, ISSN:2249-2593, www.ijcotjournal.org. Published by Seventh Sense Research Group.

Abstract In this paper, we have developed an intuitionistic fuzzy optimization (IFO) approach considering non-linear membership and non-membership function for optimizing the design of plane truss structure with single objectives subject to a specified set of constraints. In this optimum design formulation, the objective functions are the weight of the truss; 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 with non-linear membership function. We made a comparative study of linear and non-linear membership and non-membership function to see its impact on intuitionistic fuzzy optimization and to get to the depth of such optimization process. The test problem consists of a two-bar planar truss subjected to a single load condition. This single-objective structural optimization model is solved by intuitionistic fuzzy optimization approach with non-linear membership and non-membership function. 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.

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Keywords-
Intuitionistic fuzzy optimization, Non-linear membership function, Non-linear non-membership function, Structural design.