APPROACHES TO FUZZY
LOGIC DECOMPOSITION
• Graphical Representations
• Kandel's and Francioni's Approach
• Fuzzy to Multiple-valued Function
Conversion Approach
Fuzzy Logic Decision Diagrams Approach
• Fuzzy Logic Multiplexer
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Fuzzy Logic Decomposition: Approaches and Techniques, Slides of Robotics
Various approaches to decomposing fuzzy logic systems, including graphical representations, kandel's and francioni's approach, conversion to multiple-valued functions, and the use of fuzzy logic decision diagrams (fldd) and fuzzy logic multiplexers. The document also covers the need to decompose multiple-valued functions and relations, and the use of decomposition programs and multiple-valued cube diagram bundles.
Typology: Slides
2012/2013
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- Fuzzy to Multiple-valued Function• Kandel's and Francioni's Approach• Graphical RepresentationsLOGIC DECOMPOSITIONAPPROACHES TO FUZZY
Conversion Approach
Fuzzy Logic Decision Diagrams Approach
- Fuzzy Logic Multiplexer
Fuzzy Logic Decision Diagrams Approach
- Fuzzy to Multiple-valued Function• Kandel's and Francioni's Approach• Graphical RepresentationsLOGIC DECOMPOSITIONAPPROACHES TO FUZZY
Conversion Approach
• Fuzzy Logic Decision Diagrams Approach
Fuzzy Logic Multiplexer
Fuzzy Logic Multiplexer d 3 xx’ ocsity.co
Contents
• Approaches to fuzzy logic decomposition• Fuzzy logic systems applications• Fuzzy logic
Decomposition program
- Conclusion
- DECOMPOSITION PROGRAM
and RelationsNeed to Decompose Multiple-valued Functions
Decomposition Structure
Multiple-Valued Cube Diagram Bundles
Decomposer (MVGUD)(GUD) to Multiple-Valued Generalized UniversalUpgrading Generalized Universal Decomposer
Generalized Universal Decomposer (RMVGUD)Upgrading MVGUD to Relation Multiple-Valued
Results of Using RMVGUD
Decomposition Structure
Multiple-Valued Cube Diagram Bundles
Upgrading MVGUD to RMVGUD
- Compatibility Checking and Correction for• Modify MVGUD to Read Relations
Relations Example
- New Data Structure for Writing
Decomposed Relations to Files
Decomposition Structure
Program.RMVGUDandMVGUD,of GUD,flow chartGeneral
Upgrading GUD to MVGUD
- Change the reader to read in multiple-
valued functions from file.
- Change encoding from binary to multiple-
valued.
- Change writer to write out multiple-valued
functions to files.
- Need new way of verifying results.
Upgrading MVGUD to
RMVGUD
• Compatibility Checking and• Modify MVGUD to Read Relations
Correction for Relations
• New Data Structure for Writing
Decomposed Relations to Files
Compatibility Graph Show Cliques
clique 1 = 0 3clique 0 = 0 1 2correction:Cliques before checking and
clique 2 = 1 2clique 1 = 0 3clique 0 = 0Cliques after:
corrected cliques shown leftCompatibility graph and
Decomposed Relations to FilesNew Data Structure for Writing
output filerelation tobefore printingrelationsto storeData structure
Matrix of lists
few relationsEfficient when