Design of Strong Fuzzy Partitions from Cuts

DOI

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.

Copyright

© 2013, the Authors. Published by Atlantis Press.

Open Access

This is an open access article distributed under the CC BY-NC license (http://creativecommons.org/licenses/by-nc/4.0/).

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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  - Proceedings of the 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  - 10.2991/eusflat.2013.65
ID  - Mencar2013/08
ER  -