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Construction and aggregation of preference relations based on fuzzy partial orders
conference contribution
posted on 2015-08-06, 00:00 authored by Gleb BeliakovGleb Beliakov, Simon JamesSimon James, Tim WilkinTim WilkinIn group decision-making problems it is common to elicit preferences from human experts in the form of pairwise preference relations. When this is extended to a fuzzy setting, entries in the pairwise preference matrix are interpreted to denote strength of preference, however once logical properties such as consistency and transitivity are enforced, the resulting preference relation requires almost as much information as providing raw scores or a complete order over the alternatives. Here we instead interpret fuzzy degrees of preference to only apply where the preference over two alternatives is genuinely fuzzy and then suggest an aggregation procedure that minimizes a generalized Kemeny distance to the nearest complete or partial order. By focusing on the fuzzy partial order, the method is less affected by differences in the natural scale over which an expert expresses their preference, and can also limit the influence of extreme scores.
History
Event
IEEE International Conference on Fuzzy Systems (2015 : Istanbul, Turkey)Series
IEEE International Fuzzy Systems Conference ProceedingsPagination
1 - 8Publisher
IEEELocation
Istanbul, TURKEYPlace of publication
Piscataway, N.J.Publisher DOI
Start date
2015-08-02End date
2015-08-05ISSN
1544-5615ISBN-13
9781467374286Language
engPublication classification
E Conference publication; E1 Full written paper - refereedCopyright notice
2015, IEEEEditor/Contributor(s)
A Yazici, N Pal, U Kaymak, T Martin, H Ishibuchi, C Lin, J Sousa, B TutmezTitle of proceedings
FUZZ-IEEE 2015: Proceedings of the IEEE International Conference on Fuzzy SystemsUsage metrics
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