Publication:
dCF-integrals: generalizing CF-integrals by means of restricted dissimilarity functions

Date

2022

Director

Publisher

IEEE
Acceso abierto / Sarbide irekia
Artículo / Artikulua
Versión aceptada / Onetsi den bertsioa

Project identifier

MICYT//TIN2016-77356-P
MICYT//PID2019-108392GB-I00

Abstract

The Choquet integral (CI) is an averaging aggregation function that has been used, e.g., in the fuzzy reasoning method (FRM) of fuzzy rule-based classification systems (FRBCSs) and in multicriteria decision making in order to take into account the interactions among data/criteria. Several generalizations of the CI have been proposed in the literature in order to improve the performance of FRBCSs and also to provide more flexibility in the different models by relaxing both the monotonicity requirement and averaging conditions of aggregation functions. An important generalization is the CF -integrals, which are preaggregation functions that may present interesting nonaveraging behavior depending on the function F adopted in the construction and, in this case, offering competitive results in classification. Recently, the concept of d-Choquet integrals was introduced as a generalization of the CI by restricted dissimilarity functions (RDFs), improving the usability of CIs, as when comparing inputs by the usual difference may not be viable. The objective of this article is to introduce the concept of dCF -integrals, which is a generalization of CF -integrals by RDFs. The aim is to analyze whether the usage of dCF -integrals in the FRM of FRBCSs represents a good alternative toward the standard CF -integrals that just consider the difference as a dissimilarity measure. For that, we consider six RDFs combined with five fuzzy measures, applied with more than 20 functions F . The analysis of the results is based on statistical tests, demonstrating their efficiency. Additionally, comparing the applicability of dCF -integrals versus CF -integrals, the range of the good generalizations of the former is much larger than that of the latter.

Description

Keywords

CF-integrals, d-Choquet integrals, Restricted dissimilarity functions, Fuzzy rule based classification systems, Pre-aggregation functions

Department

Estatistika, Informatika eta Matematika / Institute of Smart Cities - ISC / Estadística, Informática y Matemáticas

Faculty/School

Degree

Doctorate program

item.page.cita

Wieczynski, J., Lucca, G., Dimuro, G. P., Borges, E. N., Sanz, J. A., Asmus, T. da C., Fernandez, J., & Bustince, H. (2023). dc_{f}-integrals: Generalizing c_{f}-integrals by means of restricted dissimilarity functions. IEEE Transactions on Fuzzy Systems, 31(1), 160-173. https://doi.org/10.1109/TFUZZ.2022.3184054

item.page.rights

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