On the normalization of a priority vector associated with a reciprocal relation
AbstractIn this paper we show that the widely used normalization constraint SUM(i=1,n) wi = 1 does not apply to the priority vectors associated with reciprocal relations, whenever additive transitivity is involved. We show that misleading applications of this type of normalization may lead to unsatisfactory results and we give some examples from the literature. Then, we propose an alternative normalization procedure which is compatible with additive transitivity and leads to better results.
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Bibliographic InfoPaper provided by Department of Computer and Management Sciences, University of Trento, Italy in its series DISA Working Papers with number 0905.
Length: 10 pages
Date of creation: Jul 2009
Date of revision: 29 Jul 2009
Postal: DISA Università degli Studi di Trento via Inama, 5 I-38122 Trento TN Italy
This paper has been announced in the following NEP Reports:
- NEP-ALL-2009-07-28 (All new papers)
Please report citation or reference errors to , or , if you are the registered author of the cited work, log in to your RePEc Author Service profile, click on "citations" and make appropriate adjustments.:
- B. Baets & H. Meyer & B. Schuymer, 2006. "Cyclic Evaluation of Transitivity of Reciprocal Relations," Social Choice and Welfare, Springer, vol. 26(2), pages 217-238, April.
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