Generalizing quotient space theory from structural viewpoint

Quotient space theory of problem solving, a formal model of granular computing, is generalized in the sense that topological structure is replaced by Cech's closure space. Some basic issues of granular computing, such as the representation of real world at different levels of granularity, prope...

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Bibliographic Details
Published in2005 IEEE International Conference on Granular Computing Vol. 1; pp. 121 - 124 Vol. 1
Main Authors Chen, W.L., Cheng, J.X.
Format Conference Proceeding
LanguageEnglish
Published IEEE 2005
Subjects
Artificial intelligence
Closure Space
Granular Computing
Humans
Intelligent structures
Lattices
Path planning
Problem-solving
Processor scheduling
Quotient Space Theory
Set theory
Signal processing
Topology
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Summary:Quotient space theory of problem solving, a formal model of granular computing, is generalized in the sense that topological structure is replaced by Cech's closure space. Some basic issues of granular computing, such as the representation of real world at different levels of granularity, property preserving and the construction of granular world, are discussed in detail. It turns out that most of conclusions of the classical quotient space theory keep being valid, so intension and applicable fields are enriched and enlarged respectively.
ISBN:0780390172
9780780390171
DOI:10.1109/GRC.2005.1547248