Qualitative Capacities and Their Informational Comparison

DOI

10.2991/asum.k.210827.066How to use a DOI?

Keywords

Qualitative capacity, belief function, possibility distribution, Möbius transform

Abstract

Capacities are monotonically increasing set functions that generalize probability and possibility measures. They are qualitative when they range on a finite linearly ordered scale. This paper pursues a parallel between qualitative capacities and the quantitative setting of belief functions. The qualitative setting appears to be as rich as the quantitative one, but qualitative counterparts of belief function notions do not always have the same meaning and/or behavior as in the quantitative case. The paper especially focuses on the comparison of qualitative capacities in terms of information content. Various information orderings are studied, including one based on a counterpart of Dempster rule of combination.

Copyright

© 2021, 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  - Didier Dubois
AU  - Francis Faux
AU  - Henri Prade
AU  - Agnès Rico
PY  - 2021
DA  - 2021/08/30
TI  - Qualitative Capacities and Their Informational Comparison
BT  - Joint Proceedings of the 19th World Congress of the International Fuzzy Systems Association (IFSA), the 12th Conference of the European Society for Fuzzy Logic and Technology (EUSFLAT), and the 11th International Summer School on Aggregation Operators (AGOP)
PB  - Atlantis Press
SP  - 501
EP  - 508
SN  - 2589-6644
UR  - https://doi.org/10.2991/asum.k.210827.066
DO  - 10.2991/asum.k.210827.066
ID  - Dubois2021
ER  -