An algebra for multicriteria spatial modeling

Salem Chakhar, Vincent Mousseau

Research output: Contribution to journalArticlepeer-review


The objective of this paper is to propose a new algebra, called decision map algebra (DMA), especially devoted to multicriteria spatial modeling. DMA is a generic and context-independent modeling language inspired from map algebra and other similar languages. It supports the conventional geometric objects and cartographic maps and adds a rich set of new operands representing different spatial multicriteria concepts. Moreover, DMA supports different conventional map algebra-like operations and adds several new ones corresponding to different spatial multicriteria evaluation functions. The proposed algebra is the first step towards the development of a generic spatial multicriteria modeling language.
Original languageEnglish
Pages (from-to)572-596
Number of pages25
JournalComputers, Environment and Urban Systems
Issue number5
Publication statusPublished - 2007


  • GIS,
  • Spatial multicriteria modeling,
  • Map algebra,
  • Formal specification


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