Title
Fair Consistency Evaluation in Fuzzy Preference Relations and in AHP
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.
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 Brunelli130317.62
Michele Fedrizzi234220.01