Proceedings of the 8th conference of the European Society for Fuzzy Logic and Technology (EUSFLAT-13)

Design of Strong Fuzzy Partitions from Cuts

Authors
Corrado Mencar, Marco Lucarelli, Ciro Castiello, Fanelli Anna Maria
Corresponding Author
Corrado Mencar
Available Online August 2013.
DOI
https://doi.org/10.2991/eusflat.2013.65How to use a DOI?
Keywords
Strong fuzzy partitions $alpha$-cut triangular fuzzy sets trapezoidal fuzzy sets
Abstract
The adoption of triangular fuzzy sets to define Strong Fuzzy Partitions (SFPs) is a common practice in the research community: due to their inherent simplicity, triangular fuzzy sets can be easily derived from data by applying suitable clustering algorithms. However, the choice of triangular fuzzy sets may be limiting for the modeling process. In this paper we focus on SFPs built up starting from cuts (points of separation between cluster projections on data dimensions), showing that a SFP based on cuts can always be defined by trapezoidal fuzzy sets. Different mechanisms to derive SFPs from cuts are presented and compared by employing DC*, an algorithm for extracting fuzzy information granules from classified data.
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Proceedings
8th conference of the European Society for Fuzzy Logic and Technology (EUSFLAT-13)
Part of series
Advances in Intelligent Systems Research
Publication Date
August 2013
ISBN
978-90786-77-78-9
ISSN
1951-6851
DOI
https://doi.org/10.2991/eusflat.2013.65How to use a DOI?
Open Access
This is an open access article distributed under the CC BY-NC license.

Cite this article

TY  - CONF
AU  - Corrado Mencar
AU  - Marco Lucarelli
AU  - Ciro Castiello
AU  - Fanelli Anna Maria
PY  - 2013/08
DA  - 2013/08
TI  - Design of Strong Fuzzy Partitions from Cuts
BT  - 8th conference of the European Society for Fuzzy Logic and Technology (EUSFLAT-13)
PB  - Atlantis Press
SP  - 464
EP  - 471
SN  - 1951-6851
UR  - https://doi.org/10.2991/eusflat.2013.65
DO  - https://doi.org/10.2991/eusflat.2013.65
ID  - Mencar2013/08
ER  -