An empirical test of some measurement-theoretic axioms for fuzzy sets
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Modeling uncertainty in multi-criteria decision analysis
2012, European Journal of Operational ResearchCitation Excerpt :That is, do these axioms reflect what decision makers mean (or ‘should’ mean, a more difficult prospect) when they assess and compare set membership? The little evidence that exists on this question gives little cause for optimism, with Desimpelaere [43] and Desimpelaere and Marchant [44] showing empirical violations, albeit with small sample sizes, of several axioms required in order to use max and min operators to represent the union and intersection of fuzzy sets, respectively. Most scenario planning texts deal explicitly with the question of scenario construction, so that desirable features of scenarios [150] as well as techniques for their construction [132,112] are well-established and fairly widely accepted, and are therefore not considered here.
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2013, Journal of Intelligent and Fuzzy Systems