Decomposing preference relations

IEEE International Conference on Fuzzy Systems

Volumn , Issue , 2007, Pages

  Gómez, Daniel ^a   Montero, Javier ^a   Yáñez, Javier ^a  

^a UNIVERSIDAD COMPLUTENSE DE MADRID   (Spain)

Author keywords

[No Author keywords available]

Indexed keywords

CHLORINE COMPOUNDS; COMPUTATIONAL COMPLEXITY; DECISION SUPPORT SYSTEMS; FUZZY LOGIC; FUZZY SYSTEMS; SET THEORY; TOPOLOGY;

DECISION AIDING; DECISION MAKER; DIMENSION THEORY; INTERNATIONAL CONFERENCES; LINEAR ORDERINGS; PREFERENCE RELATIONS; RELEVANT INFORMATION;

DECOMPOSITION;

EID: 50249119748     PISSN: 10987584     EISSN: None     Source Type: Conference Proceeding    
DOI: 10.1109/FUZZY.2007.4295546     Document Type: Conference Paper

References (18)

1. D. Bouyssou, T. Marchant, M. Pirlot, P. Perny, A. Tsoukiàs and Ph. Vincke, Evaluation and Decision Models, Kluwer, Dordrecht, 2000.
2. V. Cutello and J. Montero, "Fuzzy rationality measures", Fuzzy Sets and Systems 62:39-44, 1994.
3. V. Cutello and J. Montero, 'Equivalence and compositions of fuzzy rationality measures", Fuzzy Sets and Systems 85:31-43, 1997.
4. B. Dushnik and E.W. Miller, "Partially ordered sets", American Journal of Mathematics 63:600-610, 1941.
5. D. Gómez, V. López and J. Montero, "The role of fuzziness in decision making". In D. Ruan, E. Kerre and P. Wang, eds., Fuzzy Logic: an spectrum of applied and theoretical issues. Springer, in press.
6. D. Gómez, J. Montero and J. Yánez (2006): A coloring algorithm for image classification. Information Sciences 176, 3645-3657.
7. D. Gómez, J. Montero, J. Yánez, C. Poidomani (2007): A graph coloring algorithm approach for image segmentation. Omega 35:173-183.
8. D. Gómez, J. Montero and J. Yáñez, "Measuring criteria weights by means of dimension theory", Mathware and Soft Computing, in press.
9. J. González-Pachón, D. Gómez, J. Montero and J. Yáñez, "Searching for the dimension of binary valued preference relations", Int. J. Approximate Reasoning 33:133-157, 2003.
10. J. González-Pachón, D.Gómez, J. Montero and J. Yáñez, "Soft dimension theory", Fuzzy Sets and Systems 137:137-149, 2003.
11. J. Montero, D. Gómez, J. Yáñez amd J. González-Pachn, "Rationality cores in preference representation", Proceedings IFSA'03 conference, Bogaziai University, Istambul; pp. 340-343, 2003
12. J. Montero and J. Tejada, "Some problems on the definition of fuzzy preference relation", Fuzzy Sets and Systems 20:45-53, 1986.
13. P.K. Pattanaik, Voting and Collective Choice, Cambridge U.P., London, 1971.
14. B. Roy, "Decision sciences or decision aid sciences", European Journal of Operational Research 66:184-203, 1993.
15. A.K. Sen, Collective Choice and Social Welfare, Holden-Day, San Francisco, 1970.
16. W.T. Trotter, Combinatorics and Partially Ordered Sets. Dimension Theory, The Johns Hopkins University Press, Baltimore, 1992.
17. M. Yannakakis, "On the complexity of the partial order dimension problem", SIAM Journal of Algebra and Discrete Mathematics 3:351-358, 1982.
18. J. Yáñez and J. Montero, "A poset dimension algorithm", Journal of Algorithms 30:185-208, 1999.