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Inclusion and exclusion hypothesis tests for the fuzzy mean

机译:模糊均值的包含和排除假设检验

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摘要

A hypothesis test for the inclusion of the expected value of a fuzzy-valued random element in a given fuzzy set is provided. The exclusion, or the empty intersection of the expected value of a random fuzzy set and a fuzzy set, is also tested, that allows us to define one-sided tests for this expected value without the need of considering any restrictive ordering. Both tests are developed by using a measure of the intersection between fuzzy sets. Asymptotic and bootstrap techniques are established. Some simulations are included to show the performance of the bootstrap approaches. Finally, the methodology proposed is applied on a real-life situation related to the field of sensorial analysis.
机译:提供了在给定的模糊集中包含模糊值随机元素的期望值的假设检验。还测试了排除或随机模糊集与模糊集的期望值的空交集,这使我们能够为该期望值定义单面测试,而无需考虑任何限制性排序。两种测试都是通过测量模糊集之间的交集来开发的。建立了渐近和自举技术。包括一些模拟,以显示引导方法的性能。最后,所提出的方法被应用于与感官分析领域有关的现实生活中。

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