How to construct a partition when preference sets are given

Ely Merzbach, Boris Singer

Research output: Contribution to journalArticlepeer-review

Abstract

A set of fixed points is given in a space and we 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.

Original languageEnglish
Pages (from-to)1061-1068
Number of pages8
JournalComputers and Operations Research
Volume21
Issue number10
DOIs
StatePublished - Dec 1994

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