Hesitant Preference Relations

  • Zeshui XuEmail author
Part of the Studies in Fuzziness and Soft Computing book series (STUDFUZZ, volume 314)


Fuzzy preference relations (Orlovsky 1978) (also known as reciprocal preference relation (Baets et al. 2006; Xu 2007b,f; Xu and Chen 2008b)) and multiplicative preference relations (Saaty 1980) are the most common tools to express the DMs’ preferences over alternatives in decision making. However, sometimes, to get a more reasonable decision result, a decision organization, which contains a lot of DMs (or experts), is authorized to provide the preferences by comparing each pair of alternatives using 0-1 scale, and when providing the degrees to which an alternative is superior to another, it is not very sure about a value but has hesitancy between several possible values. In such cases, these several possible values can be considered as a HFE, and a hesitant fuzzy preference relation is constructed when all the preferences over a set of alternatives are provided (Xia and Xu 2013).


Analytic Hierarchy Process Preference Relation Comparison Judgment Decision Organization Preference Degree 
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Copyright information

© Springer International Publishing Switzerland 2014

Authors and Affiliations

  1. 1.Business SchoolSichuang University ChengduChina

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