Interpolation of fuzzy data: Analytical approach and overview

Perfilieva, I; Dubois, D; Prade, H; Esteva, F; Godo, L; Hoďáková, P

Interpolation of fuzzy data: Analytical approach and overview

Perfilieva, I Dubois, D Prade, H

Esteva, F Godo, L Hoďáková, P

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Publication Type:: Conference Proceeding
Citation:: Fuzzy Sets and Systems, 2012, 192 pp. 134 - 158
Issue Date:: 2012-04-01

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Field	Value	Language
dc.contributor.author	Perfilieva, I	en_US
dc.contributor.author	Dubois, D	en_US
dc.contributor.author	Prade, H https://orcid.org/0000-0003-4586-8527	en_US
dc.contributor.author	Esteva, F	en_US
dc.contributor.author	Godo, L	en_US
dc.contributor.author	Hoďáková, P	en_US
dc.date.issued	2012-04-01	en_US
dc.identifier.citation	Fuzzy Sets and Systems, 2012, 192 pp. 134 - 158	en_US
dc.identifier.issn	0165-0114	en_US
dc.identifier.uri	http://hdl.handle.net/10453/32405
dc.description.abstract	We propose a general framework for the interpolation problem. Our framework stems from the classical elaboration of the problem. We introduce the notion of an interpolating fuzzy function and show how this function can be characterized. We examine and analyze previously published fuzzy interpolation algorithms to choose those algorithms that can be represented analytically. We also propose an analytic solution of the interpolation problem that unifies various algorithmic approaches. © 2010 Elsevier B.V. All rights reserved.	en_US
dc.relation.ispartof	Fuzzy Sets and Systems	en_US
dc.relation.isbasedon	10.1016/j.fss.2010.08.005	en_US
dc.subject.classification	Artificial Intelligence & Image Processing	en_US
dc.title	Interpolation of fuzzy data: Analytical approach and overview	en_US
dc.type	Conference Proceeding
utslib.citation.volume	192	en_US
utslib.for	0801 Artificial Intelligence and Image Processing	en_US
utslib.for	0101 Pure Mathematics	en_US
pubs.embargo.period	Not known	en_US
pubs.organisational-group	/University of Technology Sydney
pubs.organisational-group	/University of Technology Sydney/Faculty of Engineering and Information Technology
pubs.organisational-group	/University of Technology Sydney/Faculty of Engineering and Information Technology/School of Software
pubs.organisational-group	/University of Technology Sydney/Strength - CAI - Centre for Artificial Intelligence
utslib.copyright.status	closed_access
pubs.publication-status	Published	en_US
pubs.volume	192	en_US

Abstract:

We propose a general framework for the interpolation problem. Our framework stems from the classical elaboration of the problem. We introduce the notion of an interpolating fuzzy function and show how this function can be characterized. We examine and analyze previously published fuzzy interpolation algorithms to choose those algorithms that can be represented analytically. We also propose an analytic solution of the interpolation problem that unifies various algorithmic approaches. © 2010 Elsevier B.V. All rights reserved.

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http://hdl.handle.net/10453/32405