Name
Title | ||
|---|---|---|
To properly reflect physicists' reasoning about randomness, we also need a maxitive (possibility) measure. |
Abstract | ||
|---|---|---|
According to the traditional probability theory, events with a positive but very small probability can occur (although very rarely). For example, from the purely mathematical viewpoint, it is possible that the thermal motion of all the molecules in a coffee cup goes in the same direction, so this cup will start lifting up. In contrast, physicists believe that events with extremely small probability cannot occur. In this paper, we show that to get a consistent formalization of this belief, we need, in addition to the original probability measure, to also consider a maxitive (possibility) measure. |
Year | DOI | Venue |
|---|---|---|
2005 | 10.1109/FUZZY.2005.1452539 | FUZZ-IEEE |
Keywords | Field | DocType |
cognition,inference mechanisms,possibility theory,probability,random processes,maxitive possibility measure,molecule thermal motion,physicist reasoning,probability theory,randomness | Computer science,Probability measure,Stochastic process,Possibility theory,Artificial intelligence,Probability theory,Cognition,Calculus,Machine learning,Randomness | Conference |
Citations | PageRank | References |
1 | 0.48 | 2 |
Authors | ||
5 | ||
Name | Order | Citations | PageRank |
|---|---|---|---|
| Andrei M. Finkelstein | 1 | 1 | 0.48 |
| Olga Kosheleva | 2 | 97 | 54.24 |
| Vladik Kreinovich | 3 | 1091 | 281.07 |
| Scott A. Starks | 4 | 61 | 12.76 |
| Hung T. Nguyen | 5 | 27 | 9.79 |