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- Wolfgang Trutschnig, Gil González-Rodríguez, Ana Colubi, María Angeles Gil
- Inf. Sci.
- 2009

One of the most important aspects of the (statistical) analysis of imprecise data is the usage of a suitable distance on the family of all compact, convex fuzzy sets, which is not too hard to calculate and which reflects the intuitive meaning of fuzzy sets. On the basis of expressing the metric of Bertoluzza et al. (1995) in terms of the mid points and… (More)

- María Angeles Gil, Miguel López-Díaz, Dan A. Ralescu
- Fuzzy Sets and Systems
- 2006

- Gil González-Rodríguez, Ana Colubi, María Angeles Gil
- Computational Statistics & Data Analysis
- 2012

The use of the fuzzy scale ofmeasurement to describe an important number of observations from real-life attributes or variables is first explored. In contrast to other well-known scales (like nominal or ordinal), a wide class of statistical measures and techniques can be properly applied to analyze fuzzy data. This fact is connected with the possibility of… (More)

- María Asunción Lubiano, María Angeles Gil, Miguel López-Díaz, María Teresa López
- Fuzzy Sets and Systems
- 2000

- Beatriz Sinova, María Angeles Gil, Ana Colubi, Stefan Van Aelst
- Fuzzy Sets and Systems
- 2012

- Miguel López-Díaz, María Angeles Gil
- Inf. Sci.
- 1998

Consider the class of the mappings from a Euclidean space to the unit interval [0,1] (that is, the class of the fuzzy sets of this space) which are upper semicontinuous, the closure of their supports is compact, and the inverse images of the singleton {1} are nonempty sets. When the metric d~, which generalizes the Hausdorff metric, is defined on the… (More)

- Gil González-Rodríguez, Ana Colubi, María Angeles Gil
- Computational Statistics & Data Analysis
- 2006

- María Angeles Gil, Pramod Jain
- IEEE Trans. Systems, Man, and Cybernetics
- 1992

- María Angeles Gil, Gil González-Rodríguez, Ana Colubi, Manuel Montenegro
- Computational Statistics & Data Analysis
- 2007

Testing methods are introduced in order to determine whether there is some ‘linear’ relationship between imprecise predictor and response variables in a regression analysis. The variables are assumed to be interval-valued. Within this context, the variables are formalized as compact convex random sets, and an interval arithmetic-based linear model is… (More)

- Sara de la Rosa de Sáa, María Angeles Gil, Gil González-Rodríguez, María Teresa López, María Asunción Lubiano
- IEEE Transactions on Fuzzy Systems
- 2015

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 in human responses to many questionnaires. The lack of statistical techniques for in-depth analysis of these responses has been, for years, the appearance of an important… (More)