Optimal sequencing in incomplete pairwise comparisons for large-dimensional problems

International Journal of General Systems

Volumn 42, Issue 4, 2013, Pages 366-375

  Fedrizzi, Michele ^a   Giove, Silvio ^b  

^a UNIVERSITY OF TRENTO   (Italy)

^b CA' FOSCARI UNIVERSITY OF VENICE   (Italy)

Author keywords

AHP; Consistency; Incomplete preferences; Pairwise comparisons

Indexed keywords

AHP; CONSISTENCY; DECISION MAKERS; DECISION PROBLEMS; INCOMPLETE PREFERENCES; PAIR-WISE COMPARISON;

INFORMATION SYSTEMS;

SYSTEMS SCIENCE;

EID: 84874108245     PISSN: 03081079     EISSN: 15635104     Source Type: Journal    
DOI: 10.1080/03081079.2012.755523     Document Type: Article

References (26)

1. Alonso, S., Chiclana, F., Herrera, F., & Herrera-Viedma, E. (2006). A learning procedure to estimate missing values in fuzzy preference relations based on additive consistency, tech. rep., Department of Computer Science and Artificial Intelligence, University of Granada, Spain.
2. Bezdek, J. C., Spillman, B., & Spillman, R. (1978). A fuzzy relational space for group decision theory. Fuzzy Sets and Systems, 2(1), 255-268.
3. Chen, Q., & Triantaphyllou, E. (2001). Estimating data for multi-criteria decision making problems: Optimization techniques. In P. M. Pardalos & C. Floudas (Eds.), Encyclopedia of optimization, Vol. 2 (pp. 27-36). Boston, MA: Kluwer Academic Publishers.
4. De Baets, B., De Meyer, H., De Schuymer, B., & Jenei, S. (2006). Cyclic evaluation of transitivity of reciprocal relations. Social Choice and Welfare, 26, 217-238.
5. Fedrizzi, M. (1990). On a consensus measure in a group MCDM problem. In J. Kacprzyk & M. Fedrizzi (Eds.), Multiperson decision making models using fuzzy sets and possibility theory Theory and Decision Library, series B: Mathematical and Statistical Methods, Vol. 18, (pp. 231-241). Dortrecht, The Netherlands: Kluwer Academic Publisher. Retrieved from http://repec.cs.unitn.it/ People/fedrizzi-michele.html
6. Fedrizzi, M., & Giove, S. (2007). Incomplete pairwise comparison and consistency optimization. European Journal of Operational Research, 183(1), 303-313.
7. Harker, P. T. (1987a). Alternative modes of questioning in the analytic hierarcy process. Mathematical Modelling, 9(3-5), 353-360.
8. Harker, P. T. (1987b). Incomplete pairwise comparisons in the analytic hierarcy process. Mathematical Modelling, 9(11), 837-848.
9. Harker, P. T. (1987c). Derivatives of the Perron root of a positive reciprocal matrix with application to the analytic hierarchy process. Applied Mathematics and Computation, 22, 217-232.
10. Kacprzyk, J. (1986). Group decision making with a fuzzy linguistic majority. Fuzzy Sets and Systems, 18, 105-118.
11. Kwiesielewicz, M. (1996). The logaritmic least squares and the generalized pseudoinverse in estimating ratios. European Journal of Operational Research, 93, 611-619.
12. Millet, I., & Harker, P. T. (1990). Globally effective questioning in the analytic hierarchy process. European Journal of Operational Research, 48, 88-97.
13. Nishizawa, K. (2005). Estimation of unknown comparisons in incomplete AHP and it's compensation. Report of the Research Institute of Industrial Technology, Nihon University, n. 77.
14. Nurmi, H. (1981). Approaches to collective decision making with fuzzy preference relations. Fuzzy Sets and Systems, 6, 249-259.
15. Ra, J. W. (1999). Chainwise paired comparisons. Decision Sciences, 30(2), 581-599.
16. Saaty, T. L. (1977). A scaling method for priorities in hierarchical structures. Journal of Mathematical Psychology, 15, 234-281.
17. Saaty, T. L. (1980). The analytic hierarchy process. New York: McGraw-Hill.
18. Sanchez, P. P., & Soyer, R. (1998). Information concepts and pairwise comparison matrices. Information Processing Letters, 68, 185-188.
19. Setiawan, S. (1998). The effect of initial selections in estimating the missing comparisons in an incomplete AHP matrix (thesis). Louisiana State University.
20. Shiraishi, S., Obata, T., & Daigo, M. (1998). Properties of a positive reciprocal matrix and their application to AHP. Journal of the Operations Research Society of Japan, 41, 404-414.
21. Takeda, E., & Yu, P. L. (1995). Assessing priority weights from subsets of pairwise comparisons in multiple criteria optimization problems. European Journal of Operational Research, 86, 315-331.
22. Tanino, T. (1984). Fuzzy preference orderings in group decision making. Fuzzy Sets and Systems, 12, 117-131.
23. Van Uden, E., (2002). Estimating missing data in pairwise comparison matrices. In Z. Bubnicki, O. Hryniewicz & R. Kulikowski (Eds.), Operational and systems research in the face to challenge the XXI century, methods and techniques in information analysis and decision making (pp. 73-80). Warsaw: Academic Printing House.
24. Wedley, W. C., Schoner, B., & Tang, T. S. (1993). Starting rules for incomplete comparisons in the analytic hierarchy process. Mathematical and Computer Modelling, 17(4-5), 93-100.
25. Xu, Z. S. (2004). Goal programming models for obtaining the priority vector of incomplete fuzzy preference relation. International Journal of Approximate Reasoning, 36, 261-270.
26. Xu, Z. S. (2005). A procedure for decision making based on incomplete fuzzy preference relation. Fuzzy Optimization and Decision Making, 4, 175-189.