A new definition of consistency of pairwise comparisons

Authors:
W. W. Koczkodaj
Affiliations:
Department of Mathematics and Computer Science, Laurentian University Sudbury, Ontario P3E 2C6, Canada
Venue:
Mathematical and Computer Modelling: An International Journal
Year:
1993

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Abstract

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.