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EnglishThis paper deals with the evaluation of preference consistency in decision making, assuming that decision makers express their preferences by means of pairwise comparisons in the set of alternatives. Preferences can be expressed using one of the various known representations, such as fuzzy preference relations or multiplicative pairwise comparison matrices. A geometrical characterization of inconsistency evaluation is proposed by considering a pairwise comparison matrix as a point in the vector space of square matrices of order n and by using different metrics to measure deviation of this matrix from full consistency. An inconsistency index is defined as the minimum distance of a pairwise comparison matrix from a consistent one, according to a fixed metric. Consequently, to each choice of a particular metric corresponds an inconsistency index. Geometrical properties of the subset of consistent matrices are investigated.
| Titolo: | Distance – based characterization of inconsistency in pairwise comparison |
| Autori: | Fedrizzi, Michele |
| Autori Unitn: | |
| Titolo del volume contenente il saggio: | 14th International Conference on Information Processing and Management of Uncertainty in Knowledge-Based Systems IPMU 2012: Proceedings Part 4 |
| Luogo di edizione: | Heidelberg |
| Casa editrice: | Springer |
| Anno di pubblicazione: | 2012 |
| Codice identificativo Scopus: | 2-s2.0-84868267672 |
| ISBN: | 9783642317231 9783642317248 |
| Handle: | http://hdl.handle.net/11572/92857 |
| Citazione: | Distance – based characterization of inconsistency in pairwise comparison / Fedrizzi, Michele. - STAMPA. - 300(2012), pp. 30-36. ((Intervento presentato al convegno IPMU 2012 tenutosi a Catania nel 9th-13th July 2012. |
| Appare nelle tipologie: | 04.1 Saggio in atti di convegno (Paper in proceedings) |
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