Intuitionistic Fuzzy Multi–Objective Structural Optimization using Non-linear Membership Functions
||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|
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.
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.
 P.P.Angelov, Intuitionistic fuzzy optimization. Notes on Intutionistic Fuzzy Sets 1 (2), 123–129, 1995.
 P.P.Angelov,Optimization in intuitionistic fuzzy environment. Fuzzy Sets and Systems 86, 299–306, 1997.
 K.Attanassov and P.Das,“Interval valued intuitionistic fuzzy sets” Fuzzy set and systems,31,343-349,(1989).
 C.J.Shih. and C.J.Chang., Mixed-discrete nonlinear fuzzy optimization for multi-objective engineering design. AIAA-94-1598-CP, pp. 2240-2246, 1994.
 S.Dey and T.K.Roy, “Optimized solution of two bar truss design using intuitionistic fuzzy optimization technique” , International Journal of Information Engineering and Electronic Business,2014(3), 45-51,2014.
 H.Z.Huang, P.Wang, M.J.Zuo, W.Wu and C.Liu, “A fuzzy set based solution method for multi-objective optimal design problem of mechanical and structural systems using functional-link net, Neural Comput & Applic (2006) 15: 239–244.
 B.Jana and T.K. Roy, Multi-objective intuitionistic fuzzy linear programming and its application in transportation model. Notes on Intuitionistic Fuzzy Sets, 13 (1), 34–51, 2007.
 K.Atanassov, “Intuitionistic fuzzy sets,” Fuzzy sets and Systems, 20,87-96, 1986.
 K.Atanassov, “Idea for intuitionistic fuzzy sets equation, in equation and optimization,” Notes on Intuitionistic Fuzzy Sets, 1, 17-24, 1995.
 K.Atanassov, “Two theorems for Intuitionistic fuzzy sets,” Fuzzy Sets and Systems, 110,267-269, 2000.
 L.A.Zadeh, Fuzzy set, Information and Control, vol.8, no.3, pp.338-353, 1965.
 S.Pramanik and T.K.Roy, An intuitionistic fuzzy goal programming approach to vector optimization problem. Notes on Intutionistic Fuzzy Sets 11 (1), 1–14,2004.
 S.S.Rao, “ Description and optimum Design of Fuzzy Mathematical Systems”, Journal of Mechanisms, Transmissions, and Automation in Design, Vol.109,pp.126-132,1987.
 R.E.Bellman and L.A.Zadeh, Decision-making in a fuzzy environment, Management Science, 17(4), B141-B164, 1970.
 S.Dey and T.K.Roy, Multi-objective structural optimization using fuzzy and intuitionistic fuzzy otimization technique, I.J. Intelligent systems and applications ,05,57-65,2015.
 G.Y.Wang and W.Q.Wang,“ Fuzzy optimum design of structure.” Engineering Optimization, 8,291-300,1985.
 C.Xu,“Fuzzy optimization of structures by the two-phase method”,Computer and Structure, 31(4),575–580,1989.
 Y.C.Yeh and D.S.Hsu, “Structural optimization with fuzzy parameters”.Computer and Structure, 37(6), 917–24, (1990).
 Y.Luo and C.Yu, “ An fuzzy optimization method for multi criteria decision making problem based on the inclution degrees of intuitionistic fuzzy set,” Journal of Information and Computing Science, 3(2),146-152,2008.
 H.J.Zimmermann, Fuzzy linear programming with several objective function” Fuzzy sets and systems,1,45-55,1978.
Structural Design, Intuitionistic fuzzy optimization, Non-linear membership and nonmembership function.