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Derivation of Priorities and Weights for Set-Valued Matrices Using the Geometric Mean Approach
University of Skövde, School of Informatics. University of Skövde, The Informatics Research Centre. (Skövde Artificial Intelligence Lab (SAIL))ORCID iD: 0000-0002-0368-8037
2015 (English)In: Applied Artificial Intelligence, ISSN 0883-9514, E-ISSN 1087-6545, Vol. 29, no 5, 500-513 p.Article in journal (Refereed) Published
Abstract [en]

Priorities are essential in the analytic hierarchy process (AHP). Several approaches have been proposed to derive priorities in the framework of the AHP. Priorities correspond to the weights in the weighted mean as well as in other aggregation operators as the ordered weighted averaging (OWA) operators, and the quasi-arithmetic means.

Derivation of priorities for the AHP typically starts by eliciting a preference matrix from an expert and then using this matrix to obtain the vector priorities. For consistent matrices, the vector of priorities is unique. Nevertheless, it is usual that the matrix is not consistent. In this case, different methods exist for extracting this vector from the matrix.

This article introduces a method for this purpose when the cells of the matrix are not a single value but a set of values. That is, we have a set-valued preference matrix. We discuss the relation of this type of matrices and hesitant fuzzy preference relations.

Place, publisher, year, edition, pages
Taylor & Francis, 2015. Vol. 29, no 5, 500-513 p.
National Category
Computer Systems
Research subject
Technology
Identifiers
URN: urn:nbn:se:his:diva-10937DOI: 10.1080/08839514.2015.1026662ISI: 000354453300006ScopusID: 2-s2.0-84929329952OAI: oai:DiVA.org:his-10937DiVA: diva2:811981
Available from: 2015-05-13 Created: 2015-05-13 Last updated: 2016-01-15Bibliographically approved

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CiteExportLink to record
Permanent link

Direct link
Cite
Citation style
  • apa
  • harvard1
  • ieee
  • modern-language-association-8th-edition
  • vancouver
  • Other style
More styles
Language
  • de-DE
  • en-GB
  • en-US
  • fi-FI
  • nn-NO
  • nn-NB
  • sv-SE
  • Other locale
More languages
Output format
  • html
  • text
  • asciidoc
  • rtf