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AHP-Like Matrices and Structures: Absolute and Relative Preferences
Department of Mathematics, University of Dar es Salaam, Tanzania.
University of Skövde, School of Informatics. University of Skövde, Informatics Research Environment. (Skövde Artificial Intelligence Lab (SAIL))ORCID iD: 0000-0001-6245-5850
University of Skövde, School of Informatics. University of Skövde, Informatics Research Environment. Hamilton Institute, Maynooth University, Maynooth, Ireland. (Skövde Artificial Intelligence Lab (SAIL))ORCID iD: 0000-0002-0368-8037
2020 (English)In: Mathematics, E-ISSN 2227-7390, Vol. 8, no 5, article id 813Article in journal (Refereed) Published
Abstract [en]

Aggregation functions are extensively used in decision making processes to combine available information. Arithmetic mean and weighted mean are some of the most used ones. In order to use a weighted mean, we need to define its weights. The Analytical Hierarchy Process (AHP) is a well known technique used to obtain weights based on interviews with experts. From the interviews we define a matrix of pairwise comparisons of the importance of the weights. We call these AHP-like matrices absolute preferences of weights. We propose another type of matrix that we call a relative preference matrix. We define this matrix with the same goal—to find the weights for weighted aggregators. We discuss how it can be used for eliciting the weights for the weighted mean and define a similar approach for the Choquet integral.

Place, publisher, year, edition, pages
MDPI, 2020. Vol. 8, no 5, article id 813
Keywords [en]
aggregation functions, weight selection, fuzzy measures, AHP (Analytical Hierarchy Process)
National Category
Computer Sciences
Research subject
Skövde Artificial Intelligence Lab (SAIL)
Identifiers
URN: urn:nbn:se:his:diva-18466DOI: 10.3390/math8050813ISI: 000542738100193Scopus ID: 2-s2.0-85086099761OAI: oai:DiVA.org:his-18466DiVA, id: diva2:1433343
Available from: 2020-05-29 Created: 2020-05-29 Last updated: 2020-08-27Bibliographically approved

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Helldin, ToveTorra, Vicenç

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