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On the Priority Vector Associated with a Reciprocal Relation and with a Pairwise Comparison Matrix

Michele Fedrizzi, Matteo Brunelli, On the Priority Vector Associated with a Reciprocal Relation and with a Pairwise Comparison Matrix. Soft Computing 14(6), 639–645, 2010.

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.

BibTeX entry:

@ARTICLE{jFeBr10a,
  title = {On the Priority Vector Associated with a Reciprocal Relation and with a Pairwise Comparison Matrix},
  author = {Fedrizzi, Michele and Brunelli, Matteo},
  journal = {Soft Computing},
  volume = {14},
  number = {6},
  pages = {639–645},
  year = {2010},
  keywords = {Pairwise comparison matrix; Reciprocal relation; Fuzzy preference relation; Priority vector; Analytic hierarchy process},
}

Belongs to TUCS Research Unit(s): Institute for Advanced Management Systems Research (IAMSR)

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