Call for Paper - December 2017 Edition
IJCA solicits original research papers for the December 2017 Edition. Last date of manuscript submission is November 20, 2017. Read More

Decision-Making in Complicated Geometrical Problems

Print
PDF
International Journal of Computer Applications
© 2014 by IJCA Journal
Volume 87 - Number 19
Year of Publication: 2014
Authors:
Amir Mosavi
10.5120/15460-4057

Amir Mosavi. Article: Decision-Making in Complicated Geometrical Problems. International Journal of Computer Applications 87(19):22-25, February 2014. Full text available. BibTeX

@article{key:article,
	author = {Amir Mosavi},
	title = {Article: Decision-Making in Complicated Geometrical Problems},
	journal = {International Journal of Computer Applications},
	year = {2014},
	volume = {87},
	number = {19},
	pages = {22-25},
	month = {February},
	note = {Full text available}
}

Abstract

Due to increasing the number of decision-making criteria in today's ever complicated geometrical optimization problems, the traditional multiobjective optimization approaches, whether a priori, a posteriori or interactive's, found to be insufficient and ineffective. In this paper the drawbacks of the current algorithms are reviewed and the urgent need for inserting a learning component in the optimization loop is discussed. In the following the methodology of reactive optimization for evolutionary interactive multiobjective optimization for solving complicated geometrical decision-making problems is adopted. The proposed brain-computer optimization follows to the paradigm of learning while optimizing, through the use of online machine learning techniques as an integral part of a self-tuning optimization scheme. At the end the effectiveness of the approach to geometrical problems is emphasized by providing the study case of optimal design problem of curves and surfaces.

References

  • Bowman, R. Battiti and P. Campigotto, Reactive search optimization: Learning while optimizing. an experiment in interactive multi-objective optimization. In S. Voss and M. Caserta, editors, Proceedings of MIC 2009, VIII Metaheuristic International Conference, Lecture Notes in Computer Science. Springer Verlag, 2010.
  • A. Mosavi, On Engineering Optimization the Splined Profiles, in Proceedings of International modeFRONTIER Users' Meeting, Trieste, Italy, 2010.
  • A. Mosavi, "Multiobjective Optimization of Spline Curves Using Mode Frontier," Proceedings of International Conference on Engineering Optimization and International Mode Frontierusers' Meeting, Trieste, 2010.
  • R. Battiti, M. Brunato, Reactive Business Intelligence. From Data to Models to Reactive Search Srl, Italy, February 2011.
  • R. Goldenthal, M. Bercovier, Design of Curves and Surfaces by Multiobjective Optimization, Mathematical Methods for Curves and Surfaces, 2004.
  • B. Roberto, A. Passerini "Brain-Computer Evolutionary Multi-Objective Optimization (BC-EMO): a genetic algorithm adapting to the decision maker. " (PDF). IEEE Transactions on Evolutionary Computation 14 (15): 671–687, 2010.
  • M. I. G. Bloor, M. J. Wilson, H. Hagen, The smoothing properties of variational schemes for surface design, Computer Aided Geometric Design,Vol. 12, pp. 381–394, 1995.
  • G. Brunnett, H. Hagen, P. Santarelli, Variational design of curve and surfaces, Surveys on Mathematics for Industry, Vol 3. pp. 1–27, 1993.
  • G. Brunnett, J. Kiefer, Interpolation with minimal-energy splines, Computer-Aided Design, Vol. 26, No. 2, pp. 137–144, 1994.
  • K. Deb, , Evolutionary algorithms for multi-criterion optimization in engineering design, Evolutionary Algorithms in Engineering and Computer Science, Miettinen K. , Makela, M. M. , Neittaanmaki, P. , and Periaux J. (eds. ), John Wiley Sons, Ltd, Chichester, UK, pp. 135–161, 1999.
  • G. Renner, (ed. ), Computer-Aided Design, Genetic Algorithms, Vol 35, Issue 8. pp. 707–769, 2003.
  • A. Mosavi, Multiple criteria decision-making preprocessing using data mining tools. IJCSI International Journal of Computer Science Issues, V7, Issue 2, No 1, 2010.
  • J. Branke, K. Deb, K. Miettinen, and R. S lowinski, Eds. , Multiobjective Op- timization: Interactive and Evolutionary Approaches. Berlin, Heidelberg: Springer-Verlag, 2008.
  • K. Miettinen, F. Ruiz, and A. Wierzbicki, Introduction to Multiobjective Optimization: Interactive Approaches," in Multiobjective Optimization: Interactive and Evolutionary Approaches. Springer-Verlag Berlin, Heidelberg, 2008, pp. 27-57.
  • J. D. Schaer, Multiple objective optimization with vector evaluated genetic algorithms," in Proceedings of the 1st International Conference on Genetic Algorithms. Hillsdale, NJ, USA: L. Erlbaum Associates Inc. , 1985, pp. 93-100.
  • K. Deb, Multi-objective optimization using evolutionary algorithms. Wiley, 2001.
  • F. di Pierro, K. Soon-Thiam, and D. Savic, An investigation on preference order ranking scheme for multiobjective evolutionary optimization," Evo- lutionary Computation, IEEE Transactions on, vol. 11, no. 1, pp. 17- 45, Feb. 2007.
  • I. Das, A preference ordering among various pareto optimal alternatives," Structural and Multidisciplinary Optimization, vol. 18, no. 1, pp. 30{35, 1999.
  • J. March, Bounded rationality, ambiguity, and the engineering of choice, The Bell Journal of Economics, pp. 587{608, 1978.
  • A. Mosavi and A. Vaezipour, "Reactive Search Optimization; Application to Multiobjective Optimization Problems," Applied Mathematics, Vol. 3 No. 10A, 2012, pp. 1572-1582.
  • A. Mosavi, M. Hoffmann and A. S. Milani, "Optimal Design of the NURBS Curves and Surfaces Utilizing Multiobjective Optimization and Decision Making Algorithms of RSO," Conference of PhD Students in Mathematics, Szeged, Jnue 2012.
  • A. Mosavi, M. Hoffmann and A. S. Milani, "Adapting the Reactive Search Optimization and Visualization Algorithms for Multiobjective Optimization Problems; Application to Geometry," Conference of PhD Students in Computer Science, Szeged, June 2012.
  • A. Mosavi, Engineering Design and Decision-Making Models, Doctoral Dissertation, University of Debrecen, 2013.
  • A. Mosavi, A multicriteria decision making environment for engineering design and production decision-making. International Journal of Computer Applications, 69(1), 26-38, 2013.
  • A. Mosavi, On developing a decision-making tool for general applications to computer vision. International Journal of Computer Applications, Special Issue on Recent Trends in Pattern Recognition and Image Analysis 1: 10-17, 2013.
  • A. Mosavi, Optimal Engineering Design. Tech. Rep. 2013. University of Debrecen, Hungary, 2013.
  • A. Mosavi. Decision-making Software Architecture; the Visualization and Data Mining Assisted Approach. International Journal of Information and Computer Science, 3 (1), 12-26, 2014.
  • A. Mosavi, Decision-Making Models for Optimal Engineering Design and their Applications, 2013.