Towards objective Bayesian foundations with fuzzy events

DOI

10.2991/ifsa-eusflat-15.2015.42How to use a DOI?

Keywords

Conditional possibility, conditional probability, Cox theorem, foundations of statistics, fuzzy event, triangular norm.

Abstract

We present an axiomatic approach to conditional measures of fuzzy events which is inspired by the Dupré–Tipler argument for Bayesianism. Unlike there or in the older and related Cox argument, although we are able to derive additive probabilities other non-additive solutions exist. Our motivation is to show that Bayesian foundational arguments are based on Boolean logic but they do not require it and may be based on fuzzy logic instead.

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  - Pedro Terán
PY  - 2015/06
DA  - 2015/06
TI  - Towards objective Bayesian foundations with fuzzy events
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  - 281
EP  - 288
SN  - 1951-6851
UR  - https://doi.org/10.2991/ifsa-eusflat-15.2015.42
DO  - 10.2991/ifsa-eusflat-15.2015.42
ID  - Terán2015/06
ER  -