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On the normalization of a priority vector associated with a reciprocal relation

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Author Info

  • Michele Fedrizzi
  • Matteo Brunelli

Abstract

In 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 Info

Paper provided by Department of Computer and Management Sciences, University of Trento, Italy in its series DISA Working Papers with number 0905.

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Length: 10 pages
Date of creation: Jul 2009
Date of revision: 29 Jul 2009
Handle: RePEc:trt:disawp:0905

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Related research

Keywords: reciprocal relation; fuzzy preference relation; priority vector; normalization;

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  1. 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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