Fuzzy hierarchical analysis revisited

European Journal of Operational Research

Volumn 129, Issue 1, 2001, Pages 48-64

  Buckley, James J ^a   Feuring, Thomas ^b   Hayashi, Yoichi ^c  

^a 452 C   (United States)

^b UNIVERSITY OF SIEGEN   (Germany)

^c MEIJI UNIVERSITY   (Japan)

Author keywords

[No Author keywords available]

Indexed keywords

DATA STRUCTURES; DECISION THEORY; FUZZY SETS; HIERARCHICAL SYSTEMS;

FUZZY HIERARCHICAL ANALYSIS;

OPERATIONS RESEARCH;

EID: 0035253917     PISSN: 03772217     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0377-2217(99)00405-1     Document Type: Article

References (45)

1. Bäck T. Evolutionary Algorithms in Theory and Practice: Evolutionary Strategies, Evolutionary Programming, Genetic Algorithms. 1996;Oxford University Press, New York.
2. Barzilai J., Golany B. AHP rank reversal, normalization and aggregation rules. INFOR. 32:1994;57-64.
3. J. Barzilai, On the use of the eigenvector in AHP, in: Proceedings of the 10 International Conference on Multiple Criteria Decision Making, Taipei, 1992, vol. 1, pp. 291-300.
4. Barzilai J., Cook W.D., Golany B. The analytic hierarchy process: structure of the problem and its solution. Philips F.Y., Rousseau J.J. System and Management by External Methods. 1992;361-371 Kluwer, Dordrecht.
5. Barzilai J., Cook W.D., Golany B. Consistent weights for judgments matrices of the relative importance of alternatives. Operations Research Letters. 6:1987;131-134.
6. Barzilai J. Consistency measures for pairwise comparison matrices. Journal of Multi-Criteria Decision. 7:1998;123-132.
7. Barzilai J. Deriving weights from pairwise comparison matrices. Journal of Operational Research Society. 48:1997;1226-1232.
8. J. Barzilai, Understanding hierarchical processes, in: Proceedings of the 1998 National Conference on American Society of Engineering Management, Virginia Beach, VI, 1-3 October 1998, pp. 1-6.
9. Barzilai J. On the decomposition of value functions. Operations Research Letter. 22:1998;159-170.
10. J. Barzilai, A new methodology of dealing with conflicting engineering design criteria, in: Proceedings of the 1997 National American Society of Engineering Management, Virginia Beach, VI, 23-26 October 1997, pp. 73-79.
11. Boender C.G.E., deGraan J.G., Lootsma F.A. Multi-criteria decision analysis with fuzzy pairwise comparisons. Fuzzy Sets and Systems. 29:1989;133-143.
12. Buckley J.J. Fuzzy hierarchical analysis. Fuzzy Sets and Systems. 17:1985;233-247.
13. Buckley J.J. Fuzzy eigenvalues and input-output analysis. Fuzzy Sets and Systems. 34:1990;187-195.
14. Buckley J.J. Solving fuzzy equations in economics and finance. Fuzzy Sets and Systems. 48:1992;289-296.
15. Buckley J.J. Solving fuzzy equations. Fuzzy Sets and Systems. 50:1992;1-14.
16. Buckley J.J. Joint solution to fuzzy linear programming. Fuzzy Sets and Systems. 72:1995;215-220.
17. Buckley J.J., Qu Y. On using alpha-cuts to evaluate fuzzy functions. Fuzzy Sets and Systems. 38:1990;309-312.
18. Buckley J.J., Qu Y. Solving fuzzy equations: a new solution concept. Fuzzy Sets and Systems. 39:1991;291-301.
19. Buckley J.J., Qu Y. Solving systems of fuzzy linear equations. Fuzzy Sets and Systems. 43:1991;33-43.
20. Buckley J.J., Uppuluri V.R.R. Fuzzy hierarchical analysis. Covello V.T., Lave L.B., Moghissi A., Uppuluri V.R.R. Uncertainty and Risk Assessment, Risk Management and Decision Making. 1984;389-401 Plenum Press, New York, NY.
21. Chen S.-M. Evaluating weapon systems using fuzzy arithmetic operations. Fuzzy Sets and Systems. 77:1996;265-276.
22. Cheng C.-H. Evaluating naval tactical missile systems by fuzzy AHP based on the grade value of membership function. European Journal of Operational Research. 96:1996;343-350.
23. Cheng C.-H., Mon D.-L. Evaluating weapon system by analytical hierarchy process based on fuzzy scales. Fuzzy Sets and Systems. 63:1994;1-10.
24. M. Fedrizzi, R.A. Marques Pereina, Positive fuzzy matrices, dominant eigenvalues and an extension of Saaty's analytical hierarchy process, in: Proceedings of IFSA World Congress, Sao Paulo, Brazil, 1995, vol. II, pp. 245-247.
25. Gogus O., Boucher T.O. A consistency test for rational weights in multi-criterion decision analysis with fuzzy pairwise comparisons. Fuzzy Sets and Systems. 86:1997;129-138.
26. Gogus O., Boucher T.O. Strong transitivity and weak monotonicity in fuzzy pairwise comparisons. Fuzzy Sets and Systems. 94:1998;133-144.
27. C.-L. Hwang, K. Yoon, Multiple Attribute Decision Making, Lecture Notes in Economics and Mathematical Systems, vol. 186, Springer, Berlin, 1981.
28. Kwiesielewicz M. A note on the fuzzy extension of Saaty's priority theory. Fuzzy Sets and Systems. 95:1998;161-172.
29. Laarkoven P.J.M., Pedrycz W. A fuzzy extension of Saaty's priority theory. Fuzzy Sets and Systems. 11:1983;229-241.
30. Lootsma F.A. Performance evaluation of nonlinear optimization methods via multi-criteria decision analysis and via linear model analysis. Powell M.J.D. Nonlinear Optimization 1981. 1982;419-453 Academic Press, London.
31. Lootsma F.A. Rank preservation and propagation of fuzziness in pairwise-comparison methods for multi-criteria decision analysis. Fandel G., Grauer M., Kurzhanski A., Wierzbicki A.P. Large-Scale Modeling and Interactive Decision Analysis. 1986;127-137 Springer, Berlin.
32. Lootsma F.A. Scale sensitivity in a multiplicative variant of the AHP and SMART. Journal of Multi-Criteria Decision Analysis. 2:1993;87-110.
33. Lootsma F.A. A Model of the relative importance of the criteria in the multiplicative AHP and SMART. European Journal of Operational Research. 94:1996;467-476.
34. Mohanty B.K., Singh N. Fuzzy relational equations in analytical hierarchy process. Fuzzy Sets and Systems. 63:1994;11-19.
35. Mon D.-L., Cheng C.-H., Lin J.C. Evaluating weapon system using fuzzy analytic hierarchy process based on entropy weight. Fuzzy Sets and Systems. 62:1994;127-134.
36. Ruoning X., Xiaoyan Z. Extensions of the analytic hierarchy process in fuzzy environment. Fuzzy Sets and Systems. 52:1992;251-257.
37. Ruoning X., Xiaoyan Z. Fuzzy logarithmic least squares ranking method in analytical hierarchy process. Fuzzy Sets and Systems. 77:1996;175-190.
38. Saaty T.L. A scaling method for priorities in hierarchical structures. Journal of Mathematical Psychology. 15:1977;234-281.
39. Saaty T.L. Exploring the interface between hierarchies, multiple objectives and fuzzy sets. Fuzzy Sets and Systems. 1:1978;57-68.
40. Saaty T.L. The Analytic Hierarchy Process. 1980;McGraw-Hill, New York, NY.
41. Saaty T.L. Multicriteria Decision Making: The Analytic Hierarchy Process. 1990;RWS Publications, Pittsburgh.
42. Saaty T.L. Fundamentals of Decision Making and Priority Theory With the Analytic Hierarchy Process. 1994;RWS Publications, Pittsburgh.
43. T.L. Saaty, Ratio scales are fundamental in decision making, in: Proceedings of ISAHP 1996, Vancouver, Canada, 12-15 July, pp. 146-156.
44. Salo A.A. On fuzzy ratio comparisons in hierarchical decision models. Fuzzy Sets and Systems. 84:1996;21-32.
45. Wang X., Kerre E.E., Ruan D. Consistency of judgment matrix and fuzzy weights in fuzzy analytic hierarchy process. International Journal of Uncertainty, Fuzziness and Knowledge-Based Systems. 3:1995;35-46.