Towards objective Bayesian foundations with fuzzy events
Available Online June 2015.
- https://doi.org/10.2991/ifsa-eusflat-15.2015.42How to use a DOI?
- Conditional possibility, conditional probability, Cox theorem, foundations of statistics, fuzzy event, triangular norm.
- 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.
- Open Access
- This is an open access article distributed under the CC BY-NC license.
Cite this article
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 - https://doi.org/10.2991/ifsa-eusflat-15.2015.42 ID - Terán2015/06 ER -