Abstract | ||
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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. |
Year | DOI | Venue |
---|---|---|
2007 | 10.1007/978-3-540-74827-4_77 | KES (2) |
Keywords | Field | DocType |
strong preference,latter case,equivalence relation,pairwise comparison matrix,fuzzy preference relation,fuzzy preference relations,fair evaluation,new method,consistency index,fair consistency evaluation,elicited judgement | Drawback,Data mining,Pairwise comparison,Equivalence relation,Mathematical optimization,Matrix (mathematics),Fuzzy logic,Analytic hierarchy process,Mathematics | Conference |
Volume | ISSN | Citations |
4693 | 0302-9743 | 5 |
PageRank | References | Authors |
1.27 | 5 | 2 |
Name | Order | Citations | PageRank |
---|---|---|---|
Matteo Brunelli | 1 | 303 | 17.62 |
Michele Fedrizzi | 2 | 342 | 20.01 |