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Authors: Francesco Campobasso ; Annarita Fanizzi and Marina Tarantini

Affiliation: University of Bari, Italy

Keyword(s): Fuzzy least square regression, Multivariate generalization, Total deviance, Decomposition, Goodness of fitting.

Related Ontology Subjects/Areas/Topics: Artificial Intelligence ; Computational Intelligence ; Fuzzy Information Retrieval and Data Mining ; Fuzzy Systems ; Mathematical Foundations: Fuzzy Set Theory and Fuzzy Logic ; Soft Computing

Abstract: Fuzzy regression techniques can be used to fit fuzzy data into a regression model, where the deviations between the dependent variable and the model are connected with the uncertain nature either of the variables or of their coefficients. P.M. Diamond (1988) treated the case of a simple fuzzy regression of an uncertain dependent variable on a single uncertain independent variable, introducing a metrics into the space of triangular fuzzy numbers. In this work we managed more than a single independent variable, determining the corresponding estimates and providing some theoretical results about the decomposition of the sum of squares of the dependent variable according to Diamond’s metric, in order to identify its components.

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Paper citation in several formats:
Campobasso, F.; Fanizzi, A. and Tarantini, M. (2009). SOME RESULTS ON A MULTIVARIATE GENERALIZATION OF THE FUZZY LEAST SQUARE REGRESSION. In Proceedings of the International Joint Conference on Computational Intelligence (IJCCI 2009) - ICFC; ISBN 978-989-674-014-6; ISSN 2184-3236, SciTePress, pages 75-78. DOI: 10.5220/0002321200750078

@conference{icfc09,
author={Francesco Campobasso. and Annarita Fanizzi. and Marina Tarantini.},
title={SOME RESULTS ON A MULTIVARIATE GENERALIZATION OF THE FUZZY LEAST SQUARE REGRESSION},
booktitle={Proceedings of the International Joint Conference on Computational Intelligence (IJCCI 2009) - ICFC},
year={2009},
pages={75-78},
publisher={SciTePress},
organization={INSTICC},
doi={10.5220/0002321200750078},
isbn={978-989-674-014-6},
issn={2184-3236},
}

TY - CONF

JO - Proceedings of the International Joint Conference on Computational Intelligence (IJCCI 2009) - ICFC
TI - SOME RESULTS ON A MULTIVARIATE GENERALIZATION OF THE FUZZY LEAST SQUARE REGRESSION
SN - 978-989-674-014-6
IS - 2184-3236
AU - Campobasso, F.
AU - Fanizzi, A.
AU - Tarantini, M.
PY - 2009
SP - 75
EP - 78
DO - 10.5220/0002321200750078
PB - SciTePress