Linguistic Dynamic Systems for Computing with Words and Granular Computing
Fei-Yue Wang
Source PublicationLecture Notes in Computer Science
AbstractThe term of Linguistic Dynamic Systems (LDS) was originally
coined in earlier 1990s to reformulate logic programming for computing
with words and granular computing dynamically and numerically.
In the earlier stage of its development, fuzzy sets were used as the logic
foundation for its analytical formulation and cell-to-cell mappings were
applied in its computational framework. Therefore, many concepts and
methods developed in ODE-based conventional dynamic systems can be
used directly for computing with words and granular computing in LDS.
Actually, cell mappings lead analysis in LDS to search problems in cell
spaces, thus various search methods and techniques in Artificial Intelligence
can be utilized for LDS. However, the procedure of transformation
from fuzzy logic in hyper-cubes to cell-to-cell mappings in cell spaces is
quite tedious and involving ad hoc steps in the process.

Both rough sets and type-2 fuzzy sets can be very useful in the improvement
or even reformulation of LDS. Rough sets can lead to a connection
between LDS and data mining, as well as granular computing,
especially in dynamic construction and computing of value, variable, concept,
and ontology granulation. There is a natural connection between
LDS and type-2 fuzzy sets. As a matter of fact, a cell in cellular structured
hyper-cubes is a specialized type-2 fuzzy set. New concepts and
methods developed in the emerging type-2 fuzzy sets could be used in
LDS for better design and improved computational efficiency in analysis
of rule-based linguistic control systems. In this presentation, we will discuss
and investigate the issues related to the relationship among LDS,
computing with words, granular computing, and other methods.
KeywordLinguistic Dynamic Systems
Document Type期刊论文
Corresponding AuthorFei-Yue Wang
AffiliationInstitute of Automation, The Chinese Academy of Sciences, Beijing 100080, P.R. China
Recommended Citation
GB/T 7714
Fei-Yue Wang. Linguistic Dynamic Systems for Computing with Words and Granular Computing[J]. Lecture Notes in Computer Science,2008,5009(-):18.
APA Fei-Yue Wang.(2008).Linguistic Dynamic Systems for Computing with Words and Granular Computing.Lecture Notes in Computer Science,5009(-),18.
MLA Fei-Yue Wang."Linguistic Dynamic Systems for Computing with Words and Granular Computing".Lecture Notes in Computer Science 5009.-(2008):18.
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