Proceedings of the 2015 Conference of the International Fuzzy Systems Association and the European Society for Fuzzy Logic and Technology

Clustering with Interval-valued Fuzzy Sets

Authors
Ramón González del Campo, Jose Luis González
Corresponding Author
Ramón González del Campo
Available Online June 2015.
DOI
10.2991/ifsa-eusflat-15.2015.51How to use a DOI?
Keywords
Clustering, interval-valued fuzzy sets, transitivity
Abstract

Interval-Valued Fuzzy Sets handle uncertainty and vagueness effectively. These features are particularly useful for clustering. In this paper it is showed the utility of Interval-Valued Fuzzy Sets for clustering with no accurate information. An easy method for clustering is proposed by generating transitive closures under a pseudo-t-representable t-norm. Clusters are computed from transitive closures by generating alpha-cuts. It is found that some of these alpha-cuts are equivalence classes under the pseudo-t-representable min. It is also found that these transitive closures are closer to the original interval-valued fuzzy relation that the classical transitive closure under the t-norm [min, min].

Copyright
© 2015, 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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Volume Title
Proceedings of the 2015 Conference of the International Fuzzy Systems Association and the European Society for Fuzzy Logic and Technology
Series
Advances in Intelligent Systems Research
Publication Date
June 2015
ISBN
978-94-62520-77-6
ISSN
1951-6851
DOI
10.2991/ifsa-eusflat-15.2015.51How to use a DOI?
Copyright
© 2015, 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/).

Cite this article

TY  - CONF
AU  - Ramón González del Campo
AU  - Jose Luis González
PY  - 2015/06
DA  - 2015/06
TI  - Clustering with Interval-valued Fuzzy Sets
BT  - Proceedings of the 2015 Conference of the International Fuzzy Systems Association and the European Society for Fuzzy Logic and Technology
PB  - Atlantis Press
SP  - 351
EP  - 356
SN  - 1951-6851
UR  - https://doi.org/10.2991/ifsa-eusflat-15.2015.51
DO  - 10.2991/ifsa-eusflat-15.2015.51
ID  - GonzálezdelCampo2015/06
ER  -