Abstract
Very often, decision procedures in a committee compensate potential manipulations by taking into account the ordered profile of qualifications. It is therefore rejected the standard assumption of an underlying associative binary connective allowing the evaluation of arbitrary finite sequences of items by means of a one-by-one sequential process. In this paper we develop a mathematical approach for non-associative connectives allowing a sequential definition by means of binary fuzzy connectives. It will be then stressed that a connective rule should be understood as a consistent sequence of binary connective operators. Committees should previously decide about which connective rule they will be condidering, not just about a single operator.
This is a preview of subscription content, log in via an institution.
Buying options
Tax calculation will be finalised at checkout
Purchases are for personal use only
Learn about institutional subscriptionsPreview
Unable to display preview. Download preview PDF.
References
T.H. Cormen, C.E. Leiserson and R.R. Rivest Introduction to Algorithms. MIT Press, Cambridge, MA (1990).
V. Cutello and J. Montero. Recursive families of OWA operators. In: P.P. Bonissone, Ed., Proceedings of the Third IEEE Conference on Fuzzy Systems. IEEE Press, Piscataway (1994); pp. 1137–1141.
V. Cutello and J. Montero. Hierarchical aggregation of OWA operators: basic measures and related computational problems. Uncertainty, Fuzzi-ness and Knowledge-Based Systems 3:17–26 (1995).
V. Cutello and J. Montero. The computational problems of using OWA operators. In: B. Bouchon-Meunier, R.R. Yager and L.A. Zadeh, Eds., Fuzzy Logic and Soft Computing. World Scientific, Singapore (1995); pp. 166–172.
V. Cutello and J. Montero. Information and aggregation: ethical and computational issues. In: D. Ruan, Ed., Fuzzy Sets Theory and Advanced Mathematical Applications. Kluwer, Boston (1995); pp. 175–198.
J.C. Fodor, J.L. Marichal and M. Roubens. Characterization of the ordered weighted averaging operators. Institut de Mathematique, Université de Liège, Prépublication 93.011.
G. J. Klir and T.A. Folger. Fuzzy sets, Uncertainty and Information. Prentice Hall, Englewood Cliffs, NJ (1988).
T.C. Koopmans. Representation of preference ordering with independent components of consumption. In: C.B. McGuire and R. Radner, Eds., Decision and Organization. North-Holland, Amsterdam (1972), 57–78 (2nd edition by the University of Minnesota Press, 1986).
K.T. Mak. Coherent continuous systems and the generalized functional equation of associativity. Mathematics of Operations Research, 12:597–625 (1987).
J. Montero. Aggregation of fuzzy opinions in a non-homogeneous group. Fuzzy Sets and Systems, 25:15–20 (1988).
J. Montero, J. Tejada and V. Cutello. A general model for deriving preference structures from data. European Journal Of Operational Research, to appear.
R.R. Yager. On ordered weighted averaging aggregation operators in multi-criteria decision making. IEEE Transactions on Systems, Man and Cybernetics, 18:183–190 (1988).
R.R. Yager. Families of OWA operators. Fuzzy Sets and Systems, 59:125–148 (1993).
R.R. Yager. MAM and MOM operators for aggregation. Information Sciences, 69:259–273 (1993).
R.R. Yager. Aggregation operators and fuzzy systems modeling. Fuzzy Sets and Systems, 67:129–145 (1994).
Author information
Authors and Affiliations
Editor information
Editors and Affiliations
Rights and permissions
Copyright information
© 1997 Springer Science+Business Media New York
About this chapter
Cite this chapter
Montero, J., Cutello, V. (1997). Aggregation Rules in Committee Procedures. In: Yager, R.R., Kacprzyk, J. (eds) The Ordered Weighted Averaging Operators. Springer, Boston, MA. https://doi.org/10.1007/978-1-4615-6123-1_18
Download citation
DOI: https://doi.org/10.1007/978-1-4615-6123-1_18
Publisher Name: Springer, Boston, MA
Print ISBN: 978-1-4613-7806-8
Online ISBN: 978-1-4615-6123-1
eBook Packages: Springer Book Archive