A generalized \(L^1\)-type metric between fuzzy numbers for an approach to central tendency of fuzzy data

DOI10.1016/j.ins.2013.03.063zbMath1322.62186OpenAlexW2037964085MaRDI QIDQ497233

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

Publication date: 23 September 2015

Published in: Information Sciences (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.ins.2013.03.063

zbMATH Keywords

fuzzy numbersrandom fuzzy numbers\(L^1\) distancecharacterization of a fuzzy numbermean distance minimization

Mathematics Subject Classification ID

Classification and discrimination; cluster analysis (statistical aspects) (62H30) Fuzzy topology (54A40) Multivariate analysis and fuzziness (62H86)

Related Items (14)

Robust scale estimators for fuzzy data ⋮ A hypothesis testing-based discussion on the sensitivity of means of fuzzy data with respect to data shape ⋮ Bertoluzza et al.'s metric as a basis for analyzing fuzzy data ⋮ Central tendency for symmetric random fuzzy numbers ⋮ The fuzzy characterizing function of the distribution of a random fuzzy number ⋮ Unnamed Item ⋮ Rejoinder on ``A distance-based statistical analysis of fuzzy number-valued data ⋮ \(L\)-metric on the space of \(L\)-fuzzy numbers ⋮ Fuzzy Rating vs. Fuzzy Conversion Scales: An Empirical Comparison through the MSE ⋮ Empirical Sensitivity Analysis on the Influence of the Shape of Fuzzy Data on the Estimation of Some Statistical Measures ⋮ The Wabl/Ldev/Rdev Median of a Random Fuzzy Number and Statistical Properties ⋮ Empirical analysis of the maximum asymptotic bias of location estimators for fuzzy number-valued data ⋮ Arithmetic and Distance-Based Approach to the Statistical Analysis of Imprecisely Valued Data ⋮ A parameterized \(L^2\) metric between fuzzy numbers and its parameter interpretation

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Fuzzy data treated as functional data: a one-way ANOVA test approach
• \(K\)-sample tests for equality of variances of random fuzzy sets
• Fuzzy least-absolutes regression using shape preserving operations
• Interval arithmetic-based simple linear regression between interval data: Discussion and sensitivity analysis on the choice of the metric
• Least squares fitting of an affine function and strength of association for interval-valued data
• A new family of metrics for compact, convex (fuzzy) sets based on a generalized concept of mid and spread
• Bootstrap techniques and fuzzy random variables: synergy in hypothesis testing with fuzzy data
• A weighted fuzzy \(C\)-means clustering model for fuzzy data
• A linear regression model for imprecise response
• Bootstrap approach to the multi-sample test of means with imprecise data
• Testing linear independence in linear models with interval-valued data
• The concept of a linguistic variable and its application to approximate reasoning. III
• On a class of fuzzy \(c\)-numbers clustering procedures for fuzzy data
• Fuzzy numbers are the only fuzzy sets that keep invertible operations invertible
• On embedding problems of fuzzy number spaces. IV
• The median of a random fuzzy number. The 1-norm distance approach
• Limit theorems for fuzzy random variables
• Fuzzy random variables
• On the formalization of fuzzy random variables

This page was built for publication: A generalized \(L^1\)-type metric between fuzzy numbers for an approach to central tendency of fuzzy data