Neutrosophic Goal Programming Technique and its Application
Citation
Samir Dey, Tapan Kumar Roy "Neutrosophic Goal Programming Technique and its Application", International Journal of Computer & organization Trends (IJCOT), V7(2):6-13 Mar - Apr 2017, ISSN:2249-2593, www.ijcotjournal.org. Published by Seventh Sense Research Group.
Abstract
This paper develops a multi-objective Neutrosophic Goal Optimization technique for optimizing the design of truss structure with multiple objectives subject to a specified set of constraints. In this optimum design formulation, the objective functions are weight and the deflection; the design variables are the cross-sections of the bar; the constraints are the stress in member. The classical three bar truss structure is presented here in to demonstrate the efficiency of the neutrosophic goal programming approach. The model is numerically illustrated by Neutrosophic Goal Optimization technique with different aggregation method. The result shows that the Neutrosophic Goal Optimization technique is very efficient in finding the best optimal solutions.
References
[1] K.T.Atanassov., Intuitionistic fuzzy sets. Fuzzy Sets and Systems,20(1), 87-96,1986
[2] L.A.Zadeh, Fuzzy set.Information and Control, 8(3), 338- 353,1965.
[3] R.E.Bellman and L.A.Zadeh,Decision-making in a fuzzy environment. Management science, 17(4), B-141,1970.
[4] F.Smarandache,Neutrosophy, neutrosophic probability, set and logic, Amer. Res. Press, Rehoboth, USA,105,1998.
[5] G.Y.Wang and W.Q. Wang, Fuzzy optimum design of structure. Engineering Optimization, 8, 291-300,1985.
[6] S.Dey and T.K. Roy.,A Fuzzy programming Technique for Solving Multi-objective Structural Problem. International Journal of Engineering and Manufacturing, 4(5), 24,2014.
[7] S.Dey and T.K. Roy., K.Optimized solution of two bar truss design using intuitionistic fuzzy optimization technique. International Journal of Information Engineering and Electronic Business, 6(4), 45-51,2014.
[8] S.Dey and T.K. Roy., Multi-objective structural design problem optimization using parameterized t-norm based fuzzy optimization programming Technique. Journal of Intelligent and Fuzzy Systems, 30(2), 971-982,2016.
[9] S.Dey and T.K.Roy,Multi-objective structural optimization using fuzzy and intuitionistic fuzzy optimization technique. InternationalJournal of Intelligent systems and applications, 7(5), 57-62,2015.
[10] S.Dey and T.K. Roy,Intuitionistic Fuzzy Goal Programming Technique for Solving Non-Linear Multi-objective Structural Problem. Journal of Fuzzy Set Valued Analysis, 2015(3), 179-193,2015.
[11] A.Charnes and W.W.Cooper, Goal Programming and Multiple Objectives Optimizations. European Journal of Operational Research (1977),1,39- 54,1977.
Keywords
Neutrosophic Set, Neutrosophic Goal Programming, Structural Optimization.