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

Study of the choice of the weighting measure φ on the φ-wabl/ldev/rdev median

Authors
Beatriz Sinova, María Teresa López
Corresponding Author
Beatriz Sinova
Available Online June 2015.
DOI
https://doi.org/10.2991/ifsa-eusflat-15.2015.40How to use a DOI?
Keywords
Fuzzy data, φ-wabl/ldev/rdev median of a random fuzzy number, weighting measure, sensitivity analysis.
Abstract

When summarizing the location of a random fuzzy number, some more robust approaches than the well-known Aumann-type mean have been proposed in the literature. Among them, the φ-wabl/ldev/rdev median extends the concept of median from the real-valued case. The characterization for fuzzy numbers and the distance the φ-wabl/ldev/redev median is based on will be recalled. This distance involves a weighting measure to distinguish the relevance of the different -levels (φ). Since the φ-wabl/ldev/rdev median depends on such a weighting measure, a sensitivity analysis on the real influence of this choice on the estimate will be developed.

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/).

Download article (PDF)

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
https://doi.org/10.2991/ifsa-eusflat-15.2015.40How 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  - Beatriz Sinova
AU  - María Teresa López
PY  - 2015/06
DA  - 2015/06
TI  - Study of the choice of the weighting measure φ on the φ-wabl/ldev/rdev median
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  - 267
EP  - 274
SN  - 1951-6851
UR  - https://doi.org/10.2991/ifsa-eusflat-15.2015.40
DO  - https://doi.org/10.2991/ifsa-eusflat-15.2015.40
ID  - Sinova2015/06
ER  -