Introducing rough set for design space exploration and optimization

Proceedings of the ASME Design Engineering Technical Conference

Volumn 2 A, Issue , 2003, Pages 555-565

  Shan, Songqing ^a   Wang, G Gary ^a  

^a UNIVERSITY OF MANITOBA   (Canada)

Author keywords

Design optimization; Global optimization; Rough set; Space exploration

Indexed keywords

COMPUTATIONAL FLUID DYNAMICS; COMPUTATIONAL METHODS; COMPUTER AIDED DESIGN; FUNCTIONS; GLOBAL OPTIMIZATION; INFORMATION ANALYSIS; MAPPING; PROBLEM SOLVING; SAMPLING; SET THEORY;

ROUGH SET; SPACE EXPLORATION;

PRODUCT DESIGN;

EID: 1842659981     PISSN: None     EISSN: None     Source Type: Conference Proceeding    
DOI: 10.1115/detc2003/dac-48761     Document Type: Conference Paper

References (36)

1. Bazan, J., Nguyen, S. H., Nguyen, H. S., Synak, P., and Wroblewski, J., 1994, RSES - Rough Set Exploration System, version 1.1, Copyright O 19942000 Logic Group, Institute of Mathematics, Warsaw University, Poland.
2. Boender, C. G. E., Rinnooy Kan, A. H. G., Strougie, L., and Timmer, G. T., 1982, "A stochastic method for global optimization", Mathematical Programming, Vol. 22, pp. 125-140.
3. Csendes, T., 1985, "Two non-derivative implementations of Beender et al's global optimization method: numerical performance", Report 1985/2, Jo'zsef Attila University, Szeged, Hungary.
4. Czyzewski, A., 1997, "Learning algorithms for audio signal enhancement - Part II, Rough set method implementation for the removal of hiss," Journal of the Audio Engineering Society 45/11, pp. 931-943.
5. Eddy, J., and Lewis, K. E., 2002, "Multidimensional design visualization in multiobjective optimization," Proceedings of the 9th AIAA/USAF/NASA/ISSMO Symposium on Multidtsciplinary Analysts and Optimization, AIAA-2002-5621, Atlanta, Georgia.
6. Gablonsky, J., 1998, "An Implementation of the DIRECT algorithm". North Carolina State University report, Department of Mathematics, Center for Research in Scientific Computation.
7. Golan, R., and Ziarko, W., 1995, "A methodology for stock market analysis utilizing rough set theory," Proceedings of IEEE/IAFE Conference on Computational Intelligence for Financial Engineering, New York City, pp. 32-40.
8. Gu, L., 2001, "A Comparison of Polynomial Based Regression Models in Vehicle Safety Analysis," ASME Design Engineering Technical Conferences Design Automation Conference (DAC) (Diaz, A., ed.), Pittsburgh, PA, ASME, September 9-12, Paper No. DETC2001/DAC-21063.
9. Jackson, A. G., Leclair, S. R., Ohmer, M. C., Ziarko, W., Al-Kamhawi, H., 1996, "Rough sets applied to material data," Acta Metallurgica et Materialia, pp. 44-75.
10. Jain, P. and Agogino, A. M., 1993, "Global Optimization Using Multistart Method," Transactions of the ASME, Journal of Mechanical Design, Vol. 115, December 1993, pp. 770-775.
11. Johnson, J., 1998, "Rough mereology for industrial design," Proceedings of the First International Conference on Rough Sets and Soft Computing, Warszawa, Poland, Springer-Verlag, LNAI 1424, pp. 553-556.
12. Jones, D.R., Perttunen, C.D. and Stuckmann, B.E., 1993, "Lipschitzian optimization without the lipschitz constant," Journal of Optimtiation Theory and Applications, October 1993, pp. 79-157.
13. Kirkpatrick, S., Gelatt, C. D., and Vecchi, M. P., 1983, "Optimization by Simulated Annealing," Science, vol. 220, pp. 671-680.
14. Koch, P. N., Simpson, T. W., Allen, J. K. and Mistree, F., 1999, "Statistical Approximations for Multidisciplinaiy Optimisation: The Problem of Size," Special Multidisciplinary Design Optimization Issue of Journal of Aircraft, Vol. 36, No. 1, pp. 275-286.
15. Komorowski, J., Pawlak, Z., Polkowski, L., and Skowron, A., 1999, Rough sets: A tutorial, in: S.K. Pal and A. Skowron (eds.), Rough fuzzy hybridization: A new trend in decision-making, Springer-Verlag, Singapore, pp. 3-98.
16. Kowalczyk, W., 1996, "Analyzing temporal patterns with rough sets," Proceedings of the Fourth European Congress on Intelligent Techniques and Soft Computing, Aachen, Germany, Verlag Mainz 1, pp. 139-143.
17. Messac, A., 1996, "Physical Programming- Effective Optimization for Computational Design," AIAA Journal, Vol. 34, No. 1, pp. 149-158.
18. Mrozek, A., 1985, "Information systems and control algorithms," Bull. Polish Acad. Sci. Tech. Sci., 33, pp. 195-212.
19. Mrozek, A., 1992, "Rough sets in computer implementation of rule-based control of industrial processes," In Intelligent Decision Support - Handbook of Applications and Advances of the Rough Sets Theory, Kluwer Academic Publishers, Dordrecht, pp. 19-31.
20. Mrozek, A., Plonka, L., 1993, "Rough sets in image analysis," Foundations of Computing Decision Sciences, 18/3-4, pp. 259-273.
21. Neumaier, A., 2001, "Chapter 4: Constrained Global Optimization", in COCONUT Deliverable D1: Algorithms for Solving Nonlinear Constrained and Optimization Problems: The State of the Art, the Coconut project.
22. Neumaier, A., 2002, http://www.mat.univie.ac.at/~neum/glopt.html. Computational Mathematics group, the University of Vienna, Austria.
23. Nguyen, H. S., 1997, Discretization of Real Value Attribute: A Boolean Reasoning Approach, Ph. D thesis, Warsaw University.
24. Øhrn, A., Komorowski, J., 1997, "ROSETTA: A Rough Set Toolkit for Analysis of Data," Proc. Third International Joint Conference on Information Sciences, Fifth International Workshop on Rough Sets and Soft Computing (RSSC'97), Durham, NC, USA, March 1-5, Vol. 3, pp. 403-407.
25. Pawlak, Z., 1982, "Rough Sets," International Journal of Computer and Information Sciences 11, pp. 341-356.
26. Pawlak, Z., 1984, "On conflicts," Int. J. of Man-Machine Studies, 21, pp. 127-134.
27. Pawlak, Z., Stowinski, K., Stowinski, R., 1986, "Rough classification of patients after highly selected vagotomy for duodenal ucler," Journal of Man-Machine Studies 24, pp. 413-433.
28. Reddy, S. Y., 1996, "HIDER: A Methodology for Early-Stage Exploration of Design Space," The proceedings of the 1996 ASME Design Engineering Technical Conferences and Computers in Engineering Conference, Paper No. 96-DETC/DAC-1089, August 18-22, Irvine, California.
29. Ullman, D. G., 2002, "Toward the Ideal Mechanical Engineering Design Support System," Research in Engineering Design 13, pp. 55-64.
30. Van den Poel, D., 1998, "Rough set for database marketing," In Rough Sets in Knowledge Discovery 2: Applications, Case Studies and Software Systems, Physica-Verlag, Heidelberg, pp. 324-335.
31. Wang, G. G., and Simpson, T. W., 2002, "Fuzzy Clustering Based Hierarchical Metamodeling for Design Optimization," Proceedings of the 9th AIAA/USAF/NASA/ISSMO Symposium on Multidisciplinary Analysis and Optimization, September, Atlanta, Georgia.
32. Wang, G. G., 2002, "Adaptive Response Surface Method Using Inherited Latin Hypercube Design Points," ASME Journal of Mechanical Design, 2002, to appear.
33. Wang, G. G., Dong, Z. and Aitchison, P., 2001, "Adaptive Response Surface Method - A Global Optimization Scheme for Computation-intensive Design Problems," Journal of Engineering Optimization, Vol. 33, No. 6, pp. 707-734.
34. Winer, E. H. and Bloebaurn, C. L., 2002a, "Development of visual design steering as an aid in large-scale multidisciplinary design optimization. Part I: Method development," Structural and Multidisciplinary Optimization, Vol. 23, No. 6, July 2002.
35. Winer, E. H. and Bloebaurn, C. L., 2002b, "Development of visual design steering as an aid in large-scale multidisciplinary design optimization. Part II: Method validation," Structural and Multidisciplinary Optimization, Vol. 23, No. 6, July 2002.
36. Zemke, J., 1998, B4m: a free interval arithmetic toolbox for Matlab based on BIAS, version 1.02.004. http://www.ti3.tu-harburg.de/~zemke/b4m/index.html.