Tolerance approach to possibilistic nonlinear regression with interval data
The result's identifiers
Result code in IS VaVaI
<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F00216208%3A11320%2F14%3A10282632" target="_blank" >RIV/00216208:11320/14:10282632 - isvavai.cz</a>
Alternative codes found
RIV/61384399:31140/14:00045593
Result on the web
<a href="http://dx.doi.org/10.1109/TCYB.2014.2309596" target="_blank" >http://dx.doi.org/10.1109/TCYB.2014.2309596</a>
DOI - Digital Object Identifier
<a href="http://dx.doi.org/10.1109/TCYB.2014.2309596" target="_blank" >10.1109/TCYB.2014.2309596</a>
Alternative languages
Result language
angličtina
Original language name
Tolerance approach to possibilistic nonlinear regression with interval data
Original language description
We study possibilistic nonlinear regression models with crisp and/or interval data. Herein, the task is to compute tight interval regression parameters such that all observed output data (either crisp or interval) are covered by the range of the nonlinear interval regression function. We propose a method for determination of interval regression parameters based on the tolerance approach developed by the authors for the linear case. We define two classes of nonlinear regression models for which efficientalgorithms exist. For other models, we provide some extensions allowing to calculate lower and upper bounds on the widths of the optimal interval regression parameters. We also discuss other approaches to interval regression than the possibilistic one.We illustrate the theory by examples.
Czech name
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Czech description
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Classification
Type
J<sub>x</sub> - Unclassified - Peer-reviewed scientific article (Jimp, Jsc and Jost)
CEP classification
BB - Applied statistics, operational research
OECD FORD branch
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Result continuities
Project
Result was created during the realization of more than one project. More information in the Projects tab.
Continuities
I - Institucionalni podpora na dlouhodoby koncepcni rozvoj vyzkumne organizace
Others
Publication year
2014
Confidentiality
S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů
Data specific for result type
Name of the periodical
IEEE Transactions on Cybernetics
ISSN
2168-2267
e-ISSN
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Volume of the periodical
44
Issue of the periodical within the volume
12
Country of publishing house
US - UNITED STATES
Number of pages
12
Pages from-to
2509-2520
UT code for WoS article
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EID of the result in the Scopus database
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