| Article ID: | iaor1995781 |
| Country: | United Kingdom |
| Volume: | 21 |
| Issue: | 10 |
| Start Page Number: | 1061 |
| End Page Number: | 1068 |
| Publication Date: | Dec 1994 |
| Journal: | Computers and Operations Research |
| Authors: | Merzbach Ely, Singer Boris |
| Keywords: | partitioning |
A set of fixed points is given in a space and the authors determine for each point a zone of influence such that these sets form a partition of the space. The relation between the existence of such partitions and a transitivity property is proved. A construction of partitions by preference functions is studied. Finally some geometrical examples are presented.