Fuzzy data treated as functional data: A one-way ANOVA test approach

G González-Rodríguez, A Colubi, MÁ Gil - Computational Statistics & Data …, 2012 - Elsevier
The use of the fuzzy scale of measurement to describe an important number of observations
from real-life attributes or variables is first explored. In contrast to other well-known scales …

Fuzzy rating scale-based questionnaires and their statistical analysis

SR de Sáa, MÁ Gil… - … on Fuzzy Systems, 2014 - ieeexplore.ieee.org
The fuzzy rating method has been introduced in psychometric studies as a tool, which allows
the capture of and accurate reflection of the diversity, subjectivity, and imprecision inherent …

The fuzzy approach to statistical analysis

R Coppi, MA Gil, HAL Kiers - Computational statistics & data analysis, 2006 - Elsevier
For the last decades, research studies have been developed in which a coalition of Fuzzy
Sets Theory and Statistics has been established with different purposes. These namely …

Fuzzy random variables

AF Shapiro - Insurance: Mathematics and Economics, 2009 - Elsevier
There are two important sources of uncertainty: randomness and fuzziness. Randomness
models the stochastic variability of all possible outcomes of a situation, and fuzziness relates …

Bootstrap approach to the multi-sample test of means with imprecise data

MÁ Gil, M Montenegro, G González-Rodríguez… - … Statistics & Data …, 2006 - Elsevier
A bootstrap approach to the multi-sample test of means for imprecisely valued sample data
is introduced. For this purpose imprecise data are modelled in terms of fuzzy values …

[HTML][HTML] A distance-based statistical analysis of fuzzy number-valued data

A Blanco-Fernandez, MR Casals, A Colubi… - International Journal of …, 2014 - Elsevier
Real-life data associated with experimental outcomes are not always real-valued. In
particular, opinions, perceptions, ratings, etc., are often assumed to be vague in nature …

The median of a random fuzzy number. The 1-norm distance approach

B Sinova, MÁ Gil, A Colubi, S Van Aelst - Fuzzy Sets and Systems, 2012 - Elsevier
In quantifying the central tendency of the distribution of a random fuzzy number (or fuzzy
random variable in Puri and Ralescu's sense), the most usual measure is the Aumann-type …

Statistical inference about the means of fuzzy random variables: Applications to the analysis of fuzzy-and real-valued data

A Colubi - Fuzzy sets and systems, 2009 - Elsevier
The expected value of a fuzzy random variable plays an important role as central summary
measure, and for this reason, in the last years valuable statistical inferences about the …

Testing statistical hypotheses based on fuzzy confidence intervals

J Chachi, SM Taheri, R Viertl - Austrian Journal of Statistics, 2012 - ajs.or.at
A fuzzy test for testing statistical hypotheses about an imprecise parameter is proposed for
the case when the available data are also imprecise. The proposed method is based on the …

A new product service system concept evaluation approach based on Information Axiom in a fuzzy-stochastic environment

D Chen, X Chu, X Sun, Y Li - International Journal of Computer …, 2015 - Taylor & Francis
Concept evaluation is a critical issue in product service system (PSS) development. Due to
the inherent uncertainty in design and the significant difference between products and …