Properties of fuzzy transform obtained from \(L_p\) minimization and a connection with Zadeh's extension principle
type: Item
instance of: scholarly article
title: Properties of fuzzy transform obtained from \(L_p\) minimization and a connection with Zadeh's extension principle
zbMATH Open document ID: 1455.44005
author: Luciano Stefanini
author: Lucian Coroianu
published in: Information Sciences
publication date: 2020-10-07T00:00:00Z
Mathematics Subject Classification ID: 44A15
Mathematics Subject Classification ID: 46S40
zbMATH DE Number: 7256970
zbMATH Keywords: fuzzy transform
zbMATH Keywords: $F$-transform
zbMATH Keywords: expectile $F$-transform
zbMATH Keywords: quantile $F$-transform
zbMATH Keywords: \(L_p\) minimization
zbMATH Keywords: Zadeh's extension principle
zbMATH Keywords: fuzzification
MaRDI profile type: Publication
full work available at URL: j.ins.2018.11.016
OpenAlex ID: W2900950022
cites work: Mathematics of fuzzy sets and fuzzy logic
cites work: Approximation properties of fuzzy transforms
cites work: Q3321260
cites work: Applied functional analysis. Functional analysis, Sobolev spaces and elliptic differential equations
cites work: General approximation of fuzzy numbers by F-transform
cites work: Fuzzy transforms method and attribute dependency in data analysis
cites work: Convex and Discrete Geometry
cites work: A smoothing filter based on fuzzy transform
cites work: Robust Statistics
cites work: Approximation to Optimization Problems: An Elementary Review
cites work: A new fuzzy approximation method to Cauchy problems by fuzzy transform
cites work: Fuzzy transform to approximate solution of two‐point boundary value problems
cites work: A new representation for inverse fuzzy transform and its application
cites work: Q3413299
cites work: Continuous and discrete higher-degree \(F\)-transforms based on B-splines
cites work: Introduction to Interval Analysis
cites work: Filtering out high frequencies in time series using F-transform
cites work: Insight into Fuzzy Modeling
cites work: Fuzzy transforms: theory and applications
cites work: Fuzzy transforms of monotone functions with application to image compression
cites work: Towards a higher degree \(F\)-transform
cites work: A new reconstruction from the F-transform components
cites work: Image reduction method based on the F-transform
cites work: \(F\)-transform-based shooting method for nonlinear boundary value problems
cites work: Metric spaces, convexity and nonpositive curvature
cites work: Q5638112
cites work: THE BEST LEAST ABSOLUTE DEVIATIONS LINE – PROPERTIES AND TWO EFFICIENT METHODS FOR ITS DERIVATION
cites work: Optimal expectile smoothing
cites work: F-transform with parametric generalized fuzzy partitions
cites work: On possibilistic representations of fuzzy intervals
cites work: A linguistic approach to time series modeling with the help of F-transform
cites work: Asymmetric least squares regression estimation: A nonparametric approach∗
cites work: Fuzzy sets
cites work: Q3149262
cites work: On the structural properties of \(F^m\)-transform with applications
Wikidata QID: Q128960537
DOI: 10.1016/J.INS.2018.11.016
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description: scientific article; zbMATH DE number 7256970