The mean square error of a random fuzzy vector based on the support function and the Steiner point

DOI10.1016/j.fss.2014.10.028zbMath1382.60011OpenAlexW1993134298MaRDI QIDQ1697358

Beatriz Sinova, María Rosa Casals, Sara de la Rosa de Sáa, Antonia Salas, María Ángeles Gil Álvarez

Publication date: 19 February 2018

Published in: Fuzzy Sets and Systems (Search for Journal in Brave)

Full work available at URL: http://hdl.handle.net/10651/38118

zbMATH Keywords

mean square errorsupport functionSteiner pointfuzzy vectorrandom fuzzy vector

Mathematics Subject Classification ID

Fuzzy probability (60A86)

Related Items (2)

A new framework for the statistical analysis of set-valued random elements ⋮ Editorial

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• A decomposition theorem for fuzzy set-valued random variables
• Fuzzy data treated as functional data: a one-way ANOVA test approach
• Bertoluzza et al.'s metric as a basis for analyzing fuzzy data
• A new family of metrics for compact, convex (fuzzy) sets based on a generalized concept of mid and spread
• Metric spaces of fuzzy sets
• The concept of normality for fuzzy random variables
• A subjective approach for ranking fuzzy numbers
• A procedure for ordering fuzzy subsets of the unit interval
• Convex analysis and measurable multifunctions
• A note on the extension principle for fuzzy sets
• The concept of a linguistic variable and its application to approximate reasoning. III
• On the variance of fuzzy random variables
• Extended fuzzy linear models and least squares estimates
• Logics for approximate and strong entailments
• The median of a random fuzzy number. The 1-norm distance approach
• A logical approach to interpolation based on similarity relations
• A parameterized \(L^2\) metric between fuzzy numbers and its parameter interpretation
• Defuzzification using Steiner points
• A distance-based statistical analysis of fuzzy number-valued data
• Rejoinder on ``A distance-based statistical analysis of fuzzy number-valued data
• On Steiner points of convex bodies
• Different Representations of Fuzzy Vectors
• Limit theorems for fuzzy random variables
• Fuzzy random variables

This page was built for publication: The mean square error of a random fuzzy vector based on the support function and the Steiner point