This article is a technical note on a problem frequently encountered in assessing consumer preferences. Intransitivity is seen in situations where Product a is preferred to Product b, b to c, but c to a. Inadequate preference transitivity casts suspicion on rank orders of products derived from series of paired comparisons. This problem can be given graph theoretic treatment which, although it offers no absolute solution, does make the problem clearer and emphasizes the area of the analyst's judgment.
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References
1.
BalinskyBenjamin, et al., “The Coefficient of Agreement in Determining Product Preferences,” Journal of Applied Psychology, 35 (October 1951), 348–51.
2.
BergeClaude, The Theory of Graphs and Its Applications, New York: John Wiley & Sons, Inc., 1962.
MarimontRosalind B., “A New Method of Checking the Consistency of Precedence Matrices,” Journal of the Association for Computing Machinery, 6 (April 1959), 164–71.
15.
MoonJ. W. and MoserLeo, “Bibliography on Graph Theory,” Unpublished manuscript, University of Alberta, 1962.
16.
ShannonC. E. and WeaverWarren, The Mathematical Theory of Communication, Urbana, Ill.: University of Illinois Press, 1962.
17.
SpierLeo, “Graph Theory as a Method for Exploring Business Behavior,” in McGuireJ. W., ed., Interdisciplinary Studies in Business Behavior, Cincinnati, Ohio: South-Western Publishing Company, 1962, 70–98.
