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A new definition of consistency of pairwise comparisons. (English) Zbl 0804.92029

Summary: A new definition of consistency is introduced. It allows us to locate the roots of inconsistency and is easy to interpret. It also forms a better basis than the old eigenvalue consistency for selecting a threshold based on common sense. The new definition of consistency is applicable to expert systems and to knowledge acquisition. It is instrumental in applications of fuzzy sets and the theory of evidence where the definitions of the membership and belief functions are fundamental issues.

MSC:

91C99 Social and behavioral sciences: general topics
62J15 Paired and multiple comparisons; multiple testing

Software:

Concluder
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References:

[1] Thurstone, L.L., A law of comparative judgements, Psychological review, 34, 273-286, (1927)
[2] Hwang, C.-L.; Yoon, K., Multiple attribute decision making, (1981), Springer-Verlag Berlin
[3] Nijkamp, Multicriteria evaluation in physical planning, (1991), Springer-Verlag Berlin
[4] Saaty, T.L., A scaling methods for priorities in hierarchical structure, Journal of mathematical psychology, 15, 234-281, (1977) · Zbl 0372.62084
[5] Davis, H.A., The method of pairwise comparisons, (1963), Griffin London
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