From ordered beliefs to numbers: How to elicit numbers without asking for them (doable but computationally difficult)
✍ Scribed by Brian Cloteaux; Christoph Eick; Bernadette Bouchon-Meunier; Vladik Kreinovich
- Book ID
- 101260919
- Publisher
- John Wiley and Sons
- Year
- 1998
- Tongue
- English
- Weight
- 155 KB
- Volume
- 13
- Category
- Article
- ISSN
- 0884-8173
No coin nor oath required. For personal study only.
✦ Synopsis
One of the most important parts of designing an expert system is elicitation of the expert's knowledge. This knowledge usually consists of facts and rules. Eliciting these Ž rules and facts is relatively easy: the more complicated task is assigning weights numeri-. cal or interval-valued degrees of belief to different statements from the knowledge base.
Ž Experts often cannot quantify their degrees of belief, but they can order them by . suggesting which statements are more reliable . It is, therefore, reasonable to try to reconstruct the degrees of belief from such an ordering.
In this paper, we analyze when such a reconstruction is possible, whether it lead to unique values of degrees of belief, and how computationally complicated the corresponding reconstruction problem can be.