Multi-stage design space reduction and metamodeling optimization method based on self-organizing maps and fuzzy clustering

Expert Systems with Applications

Volumn 46, Issue , 2016, Pages 180-195

  Qiu, Haobo ^a   Xu, Yanjiao ^a   Gao, Liang ^a   Li, Xiaoke ^a   Chi, Li ^a  

^a HUAZHONG UNIVERSITY OF SCIENCE AND TECHNOLOGY   (China)

Author keywords

Design space reduction; Fuzzy clustering; GK cluster; Metamodeling; Self organizing maps

Indexed keywords

CLUSTERING ALGORITHMS; CONFORMAL MAPPING; DESIGN; EFFICIENCY; FUZZY CLUSTERING; REDUCTION;

CLUSTERING VALIDITY INDEX; DESIGN SPACE EXPLORATION; DESIGN SPACES; ENGINEERING DESIGN PROBLEMS; FUZZY C MEANS CLUSTERING; GK CLUSTER; METAMODELING; OPTIMIZATION METHODOLOGY;

SELF ORGANIZING MAPS;

EID: 84946893371     PISSN: 09574174     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.eswa.2015.10.033     Document Type: Article

References (24)

1. Baykasoglu A., Oztas A., Ozbay E. Prediction and multi-objective optimization of high-strength concrete parameters via soft computing approaches Expert Systems with Applications 36 3 2009 6145 6155
2. Bekasiewicz A., Koziel S., Zieniutycz W. Design space reduction for expedited multi-objective design optimization of antennas in highly dimensional spaces Solving Computationally Expensive Engineering Problems 97 2014 113 147
3. Bezdek J.C. Pattern recognition with fuzzy objective function algorithms 1981 Plenum Press New York
4. Branin F.H., Hoo S.K. A method for finding multiple extrema of a function of n variables F. Lootsma Numerical methods for non-linear optimization 1972 Academic Press New York 231 237
5. Budayan C., Dikmen I., Birgonul M.T. Comparing the performance of traditional cluster analysis, self-organizing maps and fuzzy C-means method for strategic grouping Expert Systems with Applications 36 9 2009 11772 11781
6. Chou H.C., Cheng C.H., Chang J.R. Extracting drug utilization knowledge using self-organizing map and rough set theory Expert Systems with Applications 33 2 2007 499 508
7. Chu X.Z., Gao L., Qiu H.B., Li W.D., Shao X.Y. An expert system using rough sets theory and self-organizing maps to design space exploration of complex products Expert Systems with Applications 37 2010 7364 7372
8. Diez M., Campana E.F., Stern F. Design-space dimensionality reduction in shape optimization by Karhunen-Loève expansion Computer Methods in Applied Mechanics and Engineering 283 2015 1525 1544
9. Germundsson R. Mathematica version 4 Mathematical Journal 7 2000 497 524
10. Gustafson D.E., Kessel W.C. Fuzzy clustering with fuzzy covariance matrix In Proceeding of the IEEE CDC 1979 San Diego 761 766
11. Haftka R., Scott E.P., Cruz J.R. Optimization and experiments: A survey Applied Mechanics Review 51 7 1998 435 448
12. Kleijnen J.P.C. Kriging metamodeling in simulation: A review European Journal of Operational Research 192 3 2007 707 716
13. Kohonen T. Self-organizing maps 2001 Springer New York
14. Lansiluoto A. Economic and competitive environment analysis in the formulation of strategy, a decision-oriented study utilizing self-organizing maps 2004 Publications of the Turku School of Economics and Business Administration Turku
15. Li M., Li G., Azarm S. A kriging metamodel assisted multi-objective genetic algorithm for design optimization Journal of Mechanical Design 130 3 2008 031401-031410
16. Lim C.H., Yoon Y.S., &Kim J.H. Genetic algorithm in mix proportioning of high-performance concrete Cement and Concrete Research 34 3 2004 409 420
17. Liu B., Zhang Q., Gielen G.G. A Gaussian process surrogate model assisted evolutionary algorithm for medium scale expensive optimization problems IEEE Transactions on Evolutionary Computation 18 2 2014 180 192
18. Qian Z.G., Seepersad C.C., Joseph V.R. Building sugrrot models based on detailed and approximate simulation Journal of Mechanical Design 128 2006 668 677
19. Simpson T.W., Peplinski J., Koch P.N., Allen J.K. Metamodels for computer-based engineering design: Survey and recommendations Engineering with Computers 17 2 2001 129 150
20. Tang B. Orthogonal array-based Latin hypercubes Journal of the American statistical association 88 424 1993 1392 1397
21. Tseng H.H., Wang S.W., Chen J.Y., Liu C.N. A novel design space reduction method for efficient simulation-based optimization IEEE International Symposium on Circuits and Systems (ISCAS), 2014 2014 IEEE Melbourne 381 384
22. Wang G.G., Shan S. Review of metamodeling techniques in support of engineering design optimization Journal of Mechanical Design 29 4 2007 370 380
23. Wang G.G., Simpson T. Fuzzy clustering based hierarchical metamodeling for design space reduction and optimization Engineering Optimization 36 3 2004 313 335
24. Wang Hu., Li Enying, Li G.Y., Zhong Z.H. A metamodel optimization methodology based on multi-level fuzzy clustering space reduction strategy and its applications Computer & Industrial Engineering 55 2008 503 532