Bi-criteria evolution strategy in estimating weights from the AHP ratio-scale matrices

Applied Mathematics and Computation

Volumn 218, Issue 4, 2011, Pages 1254-1266

  Srdjevic, Bojan ^a   Srdjevic, Zorica ^a  

^a Horticulture and Landscape Architecture   (Serbia)

Author keywords

AHP; Algorithm; Evolution strategy; Prioritization method; Ratio scale matrix

Indexed keywords

AHP; BI-CRITERIA; ENCODING SCHEMES; ERROR MEASURES; EUCLIDEAN DISTANCE; EVOLUTION STRATEGIES; FITNESS FUNCTIONS; MATRIX; NONDOMINATED SOLUTIONS; NORMALIZED VALUES; OPTIMIZATION APPROACH; OPTIMIZATION METHOD; PRIORITIZATION; RANK ORDERING; SOLUTION SPACE; STOCHASTIC SEARCH; TEST APPLICATIONS; VECTOR FUNCTIONS; WEIGHTS ESTIMATION;

ALGORITHMS; HIERARCHICAL SYSTEMS; OPTIMIZATION; PROBLEM SOLVING; SEARCH ENGINES;

SCALES (WEIGHING INSTRUMENTS);

EID: 80052267388     PISSN: 00963003     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.amc.2011.06.006     Document Type: Article

References (39)

1. T.L. Saaty Analytic Hierarchy Process 1980 McGraw-Hill New York
2. A. Chu, R. Kalaba, and K. Springam A comparison of two methods for determining the weights of belonging to fuzzy sets Journal of Optimization Theory and Applications 27 1979 531 541
3. G. Crawford, and C. Williams A note on the analysis of subjective judgement matrices Journal of Mathematical Psychology 29 1985 387 405
4. L. Mikhailov A fuzzy programming method for deriving priorities in the analytic hierarchy process Journal of Operational Research Society 51 2000 341 349 (Pubitemid 30566162)
5. N. Bryson A goal programming method for generating priorities vectors Journal of Operational Research Society 46 1995 641 648
6. N. Bryson, and A. Joseph Generating consensus priority point vectors: a logarithmic goal programming approach Computers and Operations Research 26 1999 637 643 (Pubitemid 29346456)
7. Y.M. Wang, C. Parkan, and Y. Luo Priority estimation in the AHP through maximization of correlation coefficient Applied Mathematical Modeling 31 2007 2711 2718 (Pubitemid 47244959)
8. K.K.F. Yuen Analytic hierarchy prioritization process in the AHP application development: a prioritization operator selection approach Applied Soft Computing 10 2010 975 989
9. B. Golany, and M. Kress A multicriteria evaluation of methods for obtaining weights from ratio-scale matrices European Journal of Operations Research 69 1993 210 220 (Pubitemid 23705141)
10. L. Mikhailov, M.G. Singh, Comparison analysis of methods for deriving priorities in the analytic hierarchy process, in: Proceedings of the IEEE International Conference on Systems, Man and Cybernetics, 1999, pp. 1037-1042.
11. Y.M. Wang An overview of priority methods of comparison matrix Journal of Decision Making and Decision Support Systems 5 1995 101 114 (in Chinese)
12. R. Ramanathan Data envelopment analysis for weight derivation and aggregation in the analytic hierarchy process Computers and Operations Research 33 2006 1289 1307 (Pubitemid 41428292)
13. Y.M. Wang, and K.S. Chin A new data envelopment analysis method for priority determination and group decision making in the analytic hierarchy process European Journal of Operational Research 195 2009 239 250
14. R. Ramanathan, and U. Ramanathan A qualitative perspective to deriving weights from pairwise comparison matrices Omega 38 2010 228 232
15. Y.M. Wang, C. Parkan, and Y. Luo A linear programming method for generating the most favorable weights from a pairwise comparison matrix Computers and Operations Research 35 2005 3918 3930
16. Y. Dong, Y. Xua, H. Lic, and M. Daia A comparative study of the numerical scales and the prioritization methods in AHP European Journal of Operational Research 186 2008 229 242 (Pubitemid 47600519)
17. N.V. Hovanov, J.W. Kolari, and M.V. Sokolov Deriving weights from general pairwise comparison matrices Mathematical Social Sciences 55 2008 205 220
18. O.S. Vaidya, and S. Kumar Analytic hierarchy process: an overview of applications European Journal of Operational Research 169 2006 1 29 (Pubitemid 41336610)
19. L. Mikhailov, Multiple criteria optimisation approach to deriving priorities in the analytic hierarchy process, in: Proc. 7th ISAHP. Bali, Indonesia, 2003, pp. 337-346.
20. B. Srdjevic Combining different prioritization methods in AHP synthesis Computers and Operations Research 32 2005 1897 1919
21. D. Savic, Global and Evolutionary Optimization for Water Management Problems, General Assembly of the European-Union-of-Geosciences, Vienna, Austria, 24th-29th April 2005. Practical Hydroinformatics: Computational Intelligence and Technological Developments in Water Applications, vol. 68, 2008, pp. 231-243.
22. J.H. Holland Adaptation in Natural and Artificial Systems Ann Arbor [MI] 1975 The University of Michigan Press
23. D.E. Goldberg Genetic Algorithms 1989 Addison-Wesley Longman Inc.
24. I. Rechenberg, Cybernetic solution path of an experimental problem, Royal Aircraft Establishment, Library translation No. 1122, Farnborough, Hants, UK, 1965.
25. H-P Schwefel Kybernetische Evolution Als Strategie Der Experimentellen Forschung In Der Stromungstechnik 1965 Diplomarbeit Technische Universitat Berlin
26. T. Back Evolutionary Algorithms in Theory and Practice 1996 Oxford University Press New York
27. J. Cai, and G. Thierauf Discrete structural optimization using evolution strategies A.I. Khan, The Topping BHV Neural Networks and Combinatorial Optimization in Civil and Structural Engineering 1993 Civil-Comp. Limited Edinburgh
28. T. Back, and M. Schutz Evolutionary strategies for mixed-integer optimization of optical multilayer systems J.R. McDonnel, R.G. Reynolds, D.B. Fogel, The Proceedings of the Fourth Annual Conference on Evolutionary Programming 1995 MIT Press 33 51
29. D.V. Arnold Weighted multi recombination evolution strategies Theoretical Computer Science 361 2006 18 37 (Pubitemid 44176221)
30. O. Hasancebi Adaptive evolution strategies in structural optimization: enhancing their computational performance with applications to large-scale structures Computers and Structures 86 2008 119 132 (Pubitemid 350251543)
31. I. De Falco, A. Della Cioppa, A. Tarantino, Automatic classification of handsegmented image parts with differential evolution, in: F. Rothlauf et al. (Ed.), Proceedings of the EvoWorkshops 2006, LNCS 3907, 2006, pp. 403-414. (Pubitemid 44019225)
32. S. Paterlini, and T. Krink Differential evolution and particle swarm optimization in partitional clustering Computation Statistics and Data Analysis 50 5 2005 1220 1247
33. A.C. Nearchou, and S.L. Omirou Differential evolution for sequencing and scheduling optimization Journal of Heuristics 12 2006 395 411 (Pubitemid 44619122)
34. S.L.P. Yasakethu, W.A.C. Fernando, and A.M. Kondoz Rate controlling in off line 3D video coding using evolution strategy IEEE Transactions on Consumer Electronics 55 1 2009 150 157
35. J. Li, L. Su, and C. Cheng Finding pre-images via evolution strategies Applied Soft Computing 11 2011 4183 4194
36. D. Zaharie Influence of crossover on the behavior of differential evolution algorithms Applied Soft Computing 9 2009 1126 1138
37. R. Mallipeddia, P.N. Suganthana, Q.K. Panb, and M.F. Tasgetirenc Differential evolution algorithm with ensemble of parameters and mutation strategies Applied Soft Computing 11 2011 1679 1696
38. Q-K. Pan, P.N. Suganthan, L. Wang, L. Gao, and R. Mallipeddi A differential evolution algorithm with self-adapting strategy and control parameters Computers and Operations Research 38 2011 394 408
39. D.L. Carroll, Genetic Algorithm (GA) Tips. .