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

Fedrizzi, Michele and Brunelli, Matteo (2009) On the normalization of a priority vector associated with a reciprocal relation. Technical Report DISA Working Paper 2009/5, Informatica e Studi Aziendali, University of Trento.

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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.

Keywords:	reciprocal relation, fuzzy preference relation, priority vector, normalization
Subjects:	UNSPECIFIED
ID Code:	1664
Deposited By:	Furlani, Paolo
Deposited On:	14 September 2009
Alternative Locations:	http://repec.cs.unitn.it/WP/2009/05.html

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