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Fair Consistency Evaluation in Fuzzy Preference Relations and in AHP

Matteo Brunelli, Michele Fedrizzi, Fair Consistency Evaluation in Fuzzy Preference Relations and in AHP. In: KES 2007 / WIRN 2007, LNAI 4693, Lecture Notes in Computer Science Part II, 612–618, Springer-Verlag, 2007.

Abstract:

In this paper we first highlight what we consider a drawback of most consistency indices for pairwise comparison matrices. In our opinion they do not take into account whether the elicited judgements are close to indifference or, on the contrary, they express strong preferences in comparing the alternatives, with the result that the latter case is unfairly penalized. We then introduce a consistency preserving transformation. By means of this transformation we define an equivalence relation in the set of pairwise comparison matrices and propose a new method for a more fair evaluation of the consistency. Finally, we extend the new method to fuzzy preference relations

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BibTeX entry:

@INPROCEEDINGS{inpBrMe07a,
  title = {Fair Consistency Evaluation in Fuzzy Preference Relations and in AHP},
  booktitle = {KES 2007  / WIRN 2007, LNAI 4693},
  author = {Brunelli, Matteo and Fedrizzi, Michele},
  volume = {Part II},
  series = {Lecture Notes in Computer Science},
  publisher = {Springer-Verlag},
  pages = {612–618},
  year = {2007},
  keywords = {Pairwise Comparison Matrices - Consistency Indices - Fuzzy Preference Relations },
}

Belongs to TUCS Research Unit(s): Other

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