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

DOI

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/).

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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  - 10.2991/ifsa-eusflat-15.2015.40
ID  - Sinova2015/06
ER  -