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| Content Provider | IEEE Xplore Digital Library |
|---|---|
| Author | Li, H. |
| Copyright Year | 2008 |
| Description | Author affiliation: Dept. of Comput. Sci. & Technol., Suzhou Univ., Suzhou (Li, H.) |
| Abstract | This paper, based on the authorpsilas new model of granular computing--the theory of granular set, puts forward the concept of granular family, granular system, concept granular system, granular concept, through upgrading the mapping to the power set and mapping from one-way to two-way. And, they are described respectively, the concept of which is the description of concept granular system in the form of five-tuple array, that is, (U, D, L, H, J), where U is the universe of the problem discussed, D describes all the elements in U, L is the operator from $2^{U}$ to $2^{D},$ H is the operator from $2^{D}$ to $2^{U},$ and J restricts the L and H, its restrict form goes as follows: .From this model, some basic mathematical laws of the concept granular system are given, it proves that all of the granular concepts constitute a complete lattice - concept granular lattice, thus extending the granular set theory and improving the granular set theory. |
| Starting Page | 1860 |
| Ending Page | 1865 |
| File Size | 296810 |
| Page Count | 6 |
| File Format | |
| ISBN | 9780769533988 |
| DOI | 10.1109/ICYCS.2008.233 |
| Language | English |
| Publisher | Institute of Electrical and Electronics Engineers, Inc. (IEEE) |
| Publisher Date | 2008-11-18 |
| Publisher Place | China |
| Access Restriction | Subscribed |
| Rights Holder | Institute of Electrical and Electronics Engineers, Inc. (IEEE) |
| Subject Keyword | concept granular lattice granular concept Lattices Power system modeling concept granular system Computer science Set theory Fuzzy set theory Logic Mathematical model granular computing. Artificial intelligence Granular set |
| Content Type | Text |
| Resource Type | Article |
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