How to construct a partition when preference sets are given

Ely Merzbach; Boris Singer

doi:10.1016/0305-0548(94)90036-1

How to construct a partition when preference sets are given

Ely Merzbach, Boris Singer

Department of Mathematics

Center of Mathematics Statistics

Research output: Contribution to journal › Article › peer-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 language	English
Pages (from-to)	1061-1068
Number of pages	8
Journal	Computers and Operations Research
Volume	21
Issue number	10
DOIs	https://doi.org/10.1016/0305-0548(94)90036-1
State	Published - Dec 1994

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How to construct a partition when preference sets are given

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