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引用次数: 0

摘要

本文的目的是分析从人类情感观察中获得的统计模糊数据。考虑到上述数据是模糊随机变量(FRV)的实现,提出了估计其统计性质的方法。首先,利用集合表示的方法,提出了FRV的合理定义,该定义可能是数据本质上同时具有模糊性和随机性的数学模型;其次,研究了所提FRV的统计矩及其估计。最后,尝试将提出的FRV应用于对自行车设计品味问卷(主要是中老年人)数据的统计特性分析。
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On fuzzy statistical analysis for vague random data associated with human feelings
The purpose of this paper is to analyze statistically vague data obtained from the observation of human feelings. Considering that the data mentioned above are the realizations of the fuzzy random variables (FRV), the method for estimating their statistical properties is proposed. First, using the set representation approach, the reasonable definition of FRV is proposed, which may be a mathematical model for the data being intrinsically and simultaneously vague and random. Secondly, the statistical moments for the proposed FRV and their estimates are investigated. Finally, the proposed FRV are tried to apply the analysis of the statistical properties of the data obtained from the questionnaire on taste of (mainly middle aged and old) persons for the bicycle designs.
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