Maria Angeles Gil | University of Oviedo / Universidad de Oviedo (original) (raw)

Maria Angeles Gil

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Papers by Maria Angeles Gil

Studies in Fuzziness and Soft Computing, 2002

Advances in Intelligent and Soft Computing, 2002

IEEE Transactions on Fuzzy Systems, 2016

Fuzzy Sets and Systems, 2012

Computational Complexity, 2012

Fuzzy Sets and Systems, 2007

For practical purposes, and to ease both the drawing and the computing processes, the fuzzy ratin... more For practical purposes, and to ease both the drawing and the computing processes, the fuzzy rating scale was originally introduced assuming values based on such a scale to be modeled by means of trapezoidal fuzzy numbers. In this paper, to know whether or not such an assumption is too restrictive, we are going to examine on the basis of a real-life example how statistical conclusions concerning location-based scale estimates are affected by the shape chosen to model imprecise data with fuzzy numbers. The discussion will be descriptive for the considered scale estimates, but for the Frechet-type variance it will be also inferential. The study will lead us to conclude that statistical conclusions are scarcely influenced by data shape.

Random elements of non-Euclidean spaces have reached the forefront of statistical research with t... more Random elements of non-Euclidean spaces have reached the forefront of statistical research with the extension of continuous process monitoring, leading to a lively interest in functional data. A fuzzy set is a generalized set for which membership degrees are identified by a [0, 1]-valued function. The aim of this review is to present random fuzzy sets (also called fuzzy random variables) as a mathematical formalization of data-generating processes yielding fuzzy data. They will be contextualized as Borel measurable random elements of metric spaces endowed with a special convex cone structure. That allows one to construct notions of distribution, independence, expectation, variance, and so on, which mirror and generalize the literature of random variables and random vectors. The connections and differences between random fuzzy sets and random elements of classical function spaces (functional data) will be underlined. The paper also includes some bibliometric remarks, comments on the ...