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. UNSPECIFIED.

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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.

    Item Type: Departmental Technical Report
    Department or Research center: Computer and management sciences
    Subjects: UNSPECIFIED
    Uncontrolled Keywords: reciprocal relation, fuzzy preference relation, priority vector, normalization
    Report Number: DISA Working Paper 2009/5
    Repository staff approval on: 14 Sep 2009

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