Transitivity of fuzzy preference relations – an empirical study
Fuzzy Sets and SystemsPublished 1 March 2001
Zbigniew Świtalski
Citations62
SJR quartileQ1
SJR score0.75
SNIP1.25
Generate an AI Snapshot to get a quick, structured summary of this paper.
Study Snapshot
ObjectiveStudy objective
MethodsResearch methodology
PopulationPopulation studied
Sample sizeSample sizes
OutcomesStudy outcomes here
ResultsStudy results comes here
LimitationsResearch study limitations comes here
A concise AI-generated summary of the paper will appear here once you click Generate AI Snapshot.
TL;DR
It is shown that human preferences, when represented by fuzzy relations, may violate transitivity and an index of transitivity is defined.
Abstract
Based on an experiment we show that human preferences, when represented by fuzzy relations, may violate transitivity. We define an index of transitivity and compute the degree to which the transitivity is violated.
Keywords
Computer ScienceDecision SciencesMathematics
Journal of Economic TheoryFuzzy revealed preference theory
108 Citations1984Kaushik Basu
It is argued here that, in many situations, a more appropriate tool for capturing the inherent imprecisions of human value judgements may be fuzzy orderings.
Theory and DecisionIntransitive cycles: Rational choice or random error? An answer based on estimation of error rates with experimental data
88 Citations1993Barry Sopher, Gary Gigliotti
Theory and DecisionHow vicious are cycles of intransitive choice?
74 Citations1988Maya Bar‐Hillel, Avishai Margalit
Theory and DecisionThe expected likelihood of transitivity: A survey
6 Citations1994William V. Gehrlein
This study presents a survey of work that considers the expected likelihood that a subject using the probabilistic model will have transitive responses for pairwise choices on a set of three alternatives.
