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• W2546996966 abstract "In assessing fuzzy numbers to model imprecise data associated with random experiments, trapezoidal fuzzy numbers are often considered. Such an assessment is mainly due to easing both interpretation and computation. This becomes especially noticeable when those assessing fuzzy numbers to data have a weak knowledge, low background and little or no expertise in using fuzzy sets (as it happens when questionnaires whose responses involve a free fuzzy rating are conducted), since the required training to explain the meaning and use of trapezoidal fuzzy numbers is definitely lower than that associated with other shapes. Nevertheless, a question that constantly arises in connection with this trapezoidal assessment is whether it can importantly affect the conclusions of the study involving such data. This paper aims to answer the last question from a statistical perspective. More concretely, the analysis of the influence of the choice of trapezoidal fuzzy numbers to model data is to be based on the conclusions from statistical hypothesis testing about the mean values of the involved fuzzy datasets. For this purpose, the p-values of tests have been compared for trapezoidal assessment vs. other frequently used ones, like some LU assessments. The analysis is first performed by developing simulation-based pairwise comparisons, and it is later illustrated and corroborated to some extent with a real-life example. The analysis indicates that the shape of the fuzzy assessment scarcely affects statistical conclusions." @default.
• W2546996966 created "2016-11-11" @default.
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• W2546996966 date "2017-12-01" @default.
• W2546996966 modified "2023-09-27" @default.
• W2546996966 title "A hypothesis testing-based discussion on the sensitivity of means of fuzzy data with respect to data shape" @default.
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• W2546996966 doi "https://doi.org/10.1016/j.fss.2016.10.015" @default.
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