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On the priority vector associated with a reciprocal relation and a pairwise comparison matrix

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Abstract

We propose two straightforward methods for deriving the priority vector associated with a reciprocal relation, by some authors called fuzzy preference relation. Then, using transformations between pairwise comparison matrices and reciprocal relations, we study the relationships between the priority vectors associated with these two types of preference relations. Eventually, we show a brief example involving the newly introduced characterizations.

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Acknowledgments

The second author is especially thankful to Fondazione Trentino Università for its determinant financial support.

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Authors and Affiliations

  1. Department of Computer and Management Science, University of Trento, Via Inama 5, 38100, Trento, Italy

    Michele Fedrizzi

  2. IAMSR, TUCS, Åbo Akademi University, Joukahainengatan 3-5 A, 20520, Åbo, Finland

    Matteo Brunelli

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  1. Michele Fedrizzi
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  2. Matteo Brunelli
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Correspondence to Matteo Brunelli.

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Fedrizzi, M., Brunelli, M. On the priority vector associated with a reciprocal relation and a pairwise comparison matrix. Soft Comput 14, 639–645 (2010). https://doi.org/10.1007/s00500-009-0432-2

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