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French version |
The issues from 1 to 148 are also available on line at NUMDAM and at Revues.org for the following issues |
- Results for criterions:
- Keyword: Proximity
2 matches
| Title | Tree representations of qualitative proximities |
| Author | BURIGANA Luigi |
| Keywords | Betweenness, Proximity, Representation, Tree |
| Topics | Distances, Graphs, Orders and preorders, Trees |
| Abstract | On a family of sets, a ternary relation may be defined by stating that, for U, V, W members of the family, V is «between» U and W if and only if V includes the intersection of U and W . The relation is called «intersection-betweenness» and may be understood as the description of proximities between objects associated with sets in the family. The problem of using a tree graph for representing such a relation is discussed. Characterisations are proven both for full tree representation (there is a tree-betweenness identical to the given intersection-betweenness: Section 2) and for partial tree representation (there is a tree-betweenness included in the given intersection-betweenness: Section 3). Procedures for actually finding solutions to full and partial tree representation problems are illustrated in Section 4. In Section 5 some related paradigms of modern psychometrics are mentioned, to highlight the peculiar aspects of the proposed approach. |
| Number | 185, Spring 2009 |
| Language |  English |
| Title | Failure of an election is scientifically predictable! |
| Author | FANSTEN Michel |
| Keywords | Abstention, Balance of power, Clarity, Election, Homogeneous electorate, Proximity |
| Topics | Data Analysis, Decision Theory, Statistics, Voting |
| Abstract | Election behaviour, as represented in this paper, starts from a double hypothesis: given the choice of several candidates, a person will vote for the one he considers to be the closest to his or her views; within a homogeneous electorate, the factor of proximity is thus introduced according to simple statistical laws. The present article demonstrates some of the applications of mathematical formulae obtained in the case in which voters have a choice between two options or two candidates as illustrated by the recent elections in France. They basically show that voters are all the less motivated when the choices are not clearly defined, or when their favourite candidate's side is divided. In the situation where the forces of power are more or less equal, it is the greater abstention on one side that will be the determining factor for election results. |
| Number | 185, Spring 2009 |
| Language | French |
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