Optimal hierarchy structures for multi-attribute-criteria decisions

Journal of Systems Science and Complexity

Volumn 22, Issue 2, 2009, Pages 228-242

  Lipovetsky, Stan ^a  

^a GfK Custom Research North America   (United States)

Author keywords

Analytic Hierarchy Process; Conjoint analysis; Hierarchy optimization; Pair comparisons

Indexed keywords

COMPLEX ENVIRONMENTS; CONJOINT ANALYSIS; ESTIMATION TECHNIQUES; HIERARCHICAL STRUCTURES; HIERARCHY OPTIMIZATION; HIERARCHY STRUCTURES; MANAGERIAL DECISIONS; MULTI ATTRIBUTES; MULTIPLE CRITERIA DECISION MAKINGS; NUMERICAL RESULTS; NUMERICAL SIMULATIONS; OPTIMAL HIERARCHIES; PAIR COMPARISONS;

ANALYTIC HIERARCHY PROCESS; HIERARCHICAL SYSTEMS;

STRUCTURAL OPTIMIZATION;

EID: 65549143624     PISSN: 10096124     EISSN: 15597067     Source Type: Journal    
DOI: 10.1007/s11424-009-9159-5     Document Type: Article

References (34)

1. F. S. Hillier and G. J. Lieberman, Introduction to Operations Research, Holden-Day, San Francisco, 1974.
2. M. Zeleny, Multiple Criteria Decision Making, McGraw Hill, New York, 1982.
3. R. E. Steuer, Multiple Criteria Optimization Theory, Computation, and Application, Wiley, New York, 1986.
4. A. S. Bryk and S. W. Raudenbush, Hierarchical Linear Models, Sage, London, 1992.
5. G. H. Tzeng, H. F. Wang, U. P. Wen, and P. L. Yu, Multiple Criteria Decision Making, Springer-Verlag, Amsterdam, 1994.
6. Y. Bar-Yam, Dynamics of Complex Systems, Addison-Wesley, Reading, MA, 1997.
7. T. L. Saaty, The Analytic Hierarchy Process, McGraw-Hill, New York, 1980.
8. T. L. Saaty, Fundamentals of Decision Making and Priority Theory with the Analytic Hierarchy Process, RWS Publications, Pittsburgh, PA, 1994.
9. T. L. Saaty, Decision Making with Dependence and Feedback: the Analytic Network Process, RWS Publications, Pittsburgh, PA, 1996.
10. B. L. Golden, E. A. Wasil, and P. T. Harker, The Analytic Hierarchy Process: Applications and Studies, Springer, Berlin-Heidelberg, 1989.
11. R. F. Dyer and E. H. Forman, An Analytic Approach to Marketing Decisions, Prentice-Hall, Englewood Cliffs, NJ, 1991.
12. S Lipovetsky 1996 The synthetic hierarchy method: An optimizing approach to obtaining priorities in the AHP European Journal of Operational Research 93 550 564 (Pubitemid 126390417)
13. S Lipovetsky A Tishler 1999 Interval estimation of priorities in the AHP European Journal of Operational Research 114 153 164
14. S Lipovetsky M Conklin 2002 Robust estimation of priorities in the AHP European Journal of Operational Research 137 110 122
15. S Lipovetsky 2005 Analytic hierarchy processing in Chapman-Kolmogorov equations International Journal of Operations and Quantitative Management 11 219 228
16. S Lipovetsky 2009 Global priority estimation in multiperson decision making Journal of Optimization Theory and Applications 140 77 91
17. R. Keeney and H. Raiffa, Decisions with Multiple Objectives: Preferences and Value Tradeoffs, Wiley, New York, 1976.
18. F. A. Lootsma, Multi-Criteria Decision Analysis via Ratio and Difference Judgement, Kluwer Academic Publishers, Dordrecht, 1999.
19. V Srinivasan 1988 A conjunctive-compensatory approach to the self-explication of multiattributed preferences Decision Sciences 19 295 305
20. JW Moy KF Lam EU Choo 1997 Deriving the partial values in MCDM by goal programming Annals of Operations Research 74 277 288 (Pubitemid 127149180)
21. SB Maurer 1980 The king chicken theorems Mathematics Magazine 53 67 80
22. LR Foulds FY Partovi 1998 Integrating the analytic hierarchy process and graph theory to model facilities layout Annals of Operations Research 82 435 451 (Pubitemid 128404101)
23. D Stauffer JS Sa Martins 2003 Asymmetry Advances in Complex Systems 6 559 564 (Pubitemid 32591419)
24. K Hausken R Cressman 2004 Formalization of multi-level games International Game Theory Review 6 195 221 (Pubitemid 40256772)
25. L. Hurvicz and S. Reiter, Designing Economics Mechanisms, Cambridge University Press, Cambridge, UK, 2006.
26. TW Leigh DB Mackay JO Summers 1984 Reliability and validity of conjoint analysis and self-explicated weights: A comparison Journal of Marketing Research 21 456 462
27. D. C. Miller, Handbook of Research Design and Social Measurement, SAGE Publication, Newbury-Park, CA, London, New Delhi, 1991.
28. M. Wedel and W. A. Kamakura, Market Segmentation: Concepts and Methodological Foundations, Kluwer Academic Publishers, Boston, 1998.
29. RL Andrews A Ansari I Currim 2002 Hierarchical Bayes versus finite mixture conjoint analysis models: A comparison of fit, prediction and partworth recovery Journal of Marketing Research 39 87 98
30. J. J. Louviere, D. A. Hensher, and J. D. Swait, Stated Choice Methods: Analysis and Applications, Cambridge University Press, Cambridge, UK, 2000.
31. M. Abramowitz and I. A. Stegun, Handbook of Mathematical Functions, National Bureau of Standards, Washington, DC, 1970.
32. S Lipovetsky FA Lootsma 2000 Generalized golden sections, repeated bisections and aesthetic pleasure European Journal of Operational Research 121 213 216 (Pubitemid 30546357)
33. T. L. Saaty, Optimization in Integers and Related Extremal Problems, McGraw-Hill, New York, 1970.
34. HS Wilf 1985 Some examples of combinatorial averaging The American Mathematical Monthly 92 250 261