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

Towards objective Bayesian foundations with fuzzy events

Authors
Pedro Terán
Corresponding Author
Pedro Terán
Available Online June 2015.
DOI
https://doi.org/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.
Open Access
This is an open access article distributed under the CC BY-NC license.

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Cite this article

TY  - CONF
AU  - Pedro Terán
PY  - 2015/06
DA  - 2015/06
TI  - Towards objective Bayesian foundations with fuzzy events
BT  - 2015 Conference of the International Fuzzy Systems Association and the European Society for Fuzzy Logic and Technology (IFSA-EUSFLAT-15)
PB  - Atlantis Press
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  -