Paper:
Language: English:
Modified Axiomatic Basis of Subjective Probability
Kiril Tenekedjiev*, Anastas Krushev**, and Natalia Nikolova*
*Technical University of Varna, Dept. of Economics and Management, 1 Studentska Str., 9010 Varna, Bulgaria
**Technical University of Varna, Dept. of Navigation, 1 Studentska Str., 9010 Varna, Bulgaria
Received: November 22, 2004
Accepted: November 24, 2004
Keywords: subjective probability, axioms, degree of belief
Journal ref: Journal of Advanced Computational Intelligence and Intelligent Informatics, Vol.9, No.1 pp. 61-64, 2005
Abstract
The paper aims at making a contribution to the axiomatic approach to subjective uncertainty by introducing a modified set of six axioms to subjective probabilities. Those are considered sufficient to guarantee adequacy and rationality in the expression of beliefs in future uncertain events by the observer of the system. The axioms combine mathematical correctness and unambiguous justification. They draw on existing axiomatic bases, but include some additional features and dependencies. A modified theorem for existence and uniqueness of subjective probabilities that uses the axioms discussed is also stated in the paper, and some explanation is given regarding the way to acquire its strict mathematical justification.
Preview (PDF)
Reference
[Notice]
* "Preview" is the first 2 pages of the article. You don't need the registration.
* To read the PDF file you will then need to download and install the Adobe Reader.
Adobe Reader is free and available for download here:
