Fuzzy description of topological relations I: A unified fuzzy 9-intersection model

Shihong Du, Qiming Qin, Qiao Wang, Bin Li

Research output: Contribution to journalConference articlepeer-review

36 Scopus citations

Abstract

First, the impacts of uncertainty of position and attribute on topological relations and the disadvantages of qualitative methods in processing the uncertainty of topological relations are concluded. Second, based on the above point, the fuzzy membership functions for dividing topology space of spatial object and for describing uncertainty of topological relations are proposed. Finally, the fuzzy interior, exterior and boundary are defined according to those fuzzy membership functions, and then a fuzzy 9-intersection model that can describe the uncertainty is constructed. Since fuzzy 9-intersection model is based on fuzzy set, not two-value logic, the fuzzy 9-intersection model can describe the impacts of position and attribute of spatial data on topological relations, and the uncertainty of topological relations between fuzzy objects, relations between crisp objects and fuzzy objects, and relations between crisp objects in a united model.

Original languageEnglish
Pages (from-to)1261-1273
Number of pages13
JournalLecture Notes in Artificial Intelligence (Subseries of Lecture Notes in Computer Science)
Volume3612
Issue numberPART III
DOIs
StatePublished - 2005
EventFirst International Conference on Natural Computation, ICNC 2005 - Changsha, China
Duration: Aug 27 2005Aug 29 2005

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