Paper Info
Title
Some Topological Invariants and a Qualitative Topological Relation Model between Fuzzy Regions
Abstract
Topological relations are one of the most fundamental properties of spatial objects. The topological relations between crisp spatial objects have been well identified. However how to formalize the topological relations between fuzzy regions needs more investigation. The paper provides a theoretic framework for modeling topological relations between fuzzy regions. A novel topological model is formalized based on fuzzy topological space (FTS). In order to derive disjoint topological parts of a fuzzy set in FTS, the closure of a fuzzy set is decomposed into two novel parts, the core and the fringe. By use of the core, fringe and the outer of a fuzzy set in the FTS, a new 9-intersection matrix is proposed as a qualitative model for identification of topological relations between two simple fuzzy regions. Since all analysis is totally derived from FTS, therefore its results are universally applicable for GIS modeling and applications.
Year
DOI
Venue
2007
10.1109/FSKD.2007.522
FSKD (1)
Keywords
Field
DocType
gis modeling,fuzzy set,novel topological model,fuzzy regions,simple fuzzy region,novel part,topological relation,fuzzy region,crisp spatial object,fuzzy topological space,topological invariants,disjoint topological part,qualitative topological relation model,fuzzy set theory,topology,topological space
Topology,Fuzzy classification,Topological space,Computer science,Fuzzy set operations,Topological vector space,Topological ring,Connected space,Fuzzy number,Homeomorphism
Conference
ISBN
Citations 
PageRank 
0-7695-2874-0
2
0.41
References 
Authors
5
3
Name
Order
Citations
PageRank
Xinming Tang15410.41
Wolfgang Kainz215018.79
Hui Zhang320.41