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

Michele Fedrizzi and Matteo Brunelli

No 905, DISA Working Papers from Department of Computer and Management Sciences, University of Trento, Italy

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 (search for similar items in EconPapers)
Pages: 10 pages
Date: 2009-07, Revised 2009-07-29
References: View references in EconPapers View complete reference list from CitEc
Citations: View citations in EconPapers (2)

Downloads: (external link)
http://www.unitn.it/files/download/10530/05.pdf (application/pdf)
Our link check indicates that this URL is bad, the error code is: 404 Not Found (http://www.unitn.it/files/download/10530/05.pdf [302 Found]--> https://www.unitn.it/files/download/10530/05.pdf)

Related works:
This item may be available elsewhere in EconPapers: Search for items with the same title.

Export reference: BibTeX RIS (EndNote, ProCite, RefMan) HTML/Text

Persistent link: https://EconPapers.repec.org/RePEc:trt:disawp:0905

Ordering information: This working paper can be ordered from
DISA Università degli Studi di Trento via Inama, 5 I-38122 Trento TN Italy
http://www.unitn.it/disa

Access Statistics for this paper

More papers in DISA Working Papers from Department of Computer and Management Sciences, University of Trento, Italy Contact information at EDIRC.
Bibliographic data for series maintained by Roberto Gabriele ().