Overview on the development of fuzzy random variables

MA Gil, M López-Díaz, DA Ralescu - Fuzzy sets and systems, 2006 - Elsevier
This paper presents a backward analysis on the interpretation, modelling and impact of the
concept of fuzzy random variable. After some preliminaries, the situations modelled by …

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 …

Fuzzy sets in data analysis: From statistical foundations to machine learning

I Couso, C Borgelt, E Hullermeier… - IEEE Computational …, 2019 - ieeexplore.ieee.org
Basic ideas and formal concepts from fuzzy sets and fuzzy logic have been used
successfully in various branches of science and engineering. This paper elaborates on the …

Descriptive analysis of responses to items in questionnaires. Why not using a fuzzy rating scale?

MA Lubiano, SR de Sáa, M Montenegro, B Sinova… - Information …, 2016 - Elsevier
In evaluating aspects like quality perception, satisfaction or attitude which are intrinsically
imprecise, the fuzzy rating scale has been introduced as a psychometric tool that allows …

A linear regression model for imprecise response

MB Ferraro, R Coppi, GG Rodríguez… - International Journal of …, 2010 - Elsevier
A linear regression model with imprecise response and p real explanatory variables is
analyzed. The imprecision of the response variable is functionally described by means of …

[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 …

On the variance of random fuzzy variables

R Körner, W Näther - Statistical modeling, analysis and management of …, 2002 - Springer
On the variance of random fuzzy variables Page 1 On the variance of random fuzzy variables
Ralf Korner and Wolfgang Niither Faculty of Mathematics and Computer Sciences, Freiberg …

Hypothesis testing for means in connection with fuzzy rating scale-based data: algorithms and applications

MA Lubiano, M Montenegro, B Sinova… - European Journal of …, 2016 - Elsevier
The fuzzy rating scale was introduced as a tool to measure intrinsically ill-
defined/imprecisely-valued attributes in a free way. Thus, users do not have to choose a …

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 …