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Multi-Objective Neutrosophic Optimization Technique and its Application to Structural Design

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International Journal of Computer Applications
Foundation of Computer Science (FCS), NY, USA
Year of Publication: 2016
Authors:
Mridula Sarkar, Samir Dey, Tapan Kumar Roy
10.5120/ijca2016911325

Mridula Sarkar, Samir Dey and Tapan Kumar Roy. Multi-Objective Neutrosophic Optimization Technique and its Application to Structural Design. International Journal of Computer Applications 148(12):31-37, August 2016. BibTeX

@article{10.5120/ijca2016911325,
	author = {Mridula Sarkar and Samir Dey and Tapan Kumar Roy},
	title = {Multi-Objective Neutrosophic Optimization Technique and its Application to Structural Design},
	journal = {International Journal of Computer Applications},
	issue_date = {August 2016},
	volume = {148},
	number = {12},
	month = {Aug},
	year = {2016},
	issn = {0975-8887},
	pages = {31-37},
	numpages = {7},
	url = {http://www.ijcaonline.org/archives/volume148/number12/25811-2016911325},
	doi = {10.5120/ijca2016911325},
	publisher = {Foundation of Computer Science (FCS), NY, USA},
	address = {New York, USA}
}

Abstract

In this paper, a multi-objective non-linear neutrosophic optimization (NSO) approach for optimizing the design of plane truss structure with multiple objectives subject to a specified set of constraints has been developed. 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 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 neutrosophic optimization approach. The test problem includes a three-bar planar truss subjected to a single load condition. This multi-objective structural optimization model is solved by neutrosophic optimization approach with linear and non-linear membership function. Numerical example is given to illustrate our NSO approach..

References

  1. Zadeh, L.A. 1965. “Fuzzy set”, Information and Control, 8(3), 338-353.
  2. Bellman, R. E., &Zadeh, L. A. 1970.”Decision-making in a fuzzy environment”, Management science, 17(4), B-141.
  3. Wang, G.Y. & Wang, W.Q. 1985.”Fuzzy optimum design of structure”. Engineering Optimization, 8, 291-300.
  4. Rao, S. S. 1987. “Description and optimum design of fuzzy mechanical systems”, Journal of Mechanisms, Transmissions, and Automation in Design, 109(1), 126-132.
  5. Yeh, Y.C. & Hsu, D.S. 1990.”Structural optimization with fuzzy parameters”. Computer and Structure,37(6), 917–924.
  6. Changwen, X. 1989. “Fuzzy optimization of structures by the two-phase method”. Computers & Structures, 31(4), 575-580.
  7. Shih, C. J., Chi, C. C., & Hsiao, J. H. 2003. “Alternative α-level-cuts methods for optimum structural design with fuzzy resources”. Computers & structures, 81(28), 2579-2587.
  8. Shih, C. J., & Lee, H. W. 2004. “Level-cut approaches of first and second kind for unique solution design in fuzzy engineering optimization problems”. Tamkang Journal of Science and Engineering 7(3),189-198.
  9. Dey, S., & Roy, T. K. 2014. “A Fuzzy programming Technique for Solving Multi-objective Structural Problem”. International Journal of Engineering and Manufacturing, 4(5), 24.
  10. Dey, S., & Roy, T. K. 2016. “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.
  11. Atanassov, K. T. 1986. “Intuitionistic fuzzy sets”. Fuzzy Sets and Systems,20(1), 87-96.
  12. Jana, B., & Roy, T. K. 2007. “Multi-objective intuitionistic fuzzy linear programming and its application in transportation model.” Notes on Intuitionistic Fuzzy Sets, 13(1), 34-51.
  13. Dey, S., & Roy, T. K. 2014. “Optimized solution of two bar truss design using intuitionistic fuzzy optimization technique”. International Journal of Information Engineering and Electronic Business, 6(4), 45.
  14. Dey, S., & Roy, T. K. 2015. “Multi-objective structural optimization using fuzzy and intuitionistic fuzzy optimization technique”. International Journal of Intelligent systems and applications, 7(5), 57.
  15. Smarandache, F. 1998. Neutrosophy, neutrosophic probability, set and logic, Amer. Res. Press, Rehoboth, USA,105.

Keywords

Neutrosophic Set, Single Valued Neutrosophic Set, Neutrosophic Optimization, Structural model.