- Title
- The principle of inclusion-exclusion and möbius function as counting techniques in finite fuzzy subsets
- Creator
- Talwanga, Matiki
- ThesisAdvisor
- Murali, V.
- Subject
- Fuzzy logic
- Subject
- Fuzzy sets
- Subject
- Fuzzy systems
- Subject
- Möbius function
- Date
- 2009
- Type
- Thesis
- Type
- Masters
- Type
- MSc
- Identifier
- vital:5413
- Identifier
- http://hdl.handle.net/10962/d1005227
- Identifier
- Fuzzy logic
- Identifier
- Fuzzy sets
- Identifier
- Fuzzy systems
- Identifier
- Möbius function
- Description
- The broad goal in this thesis is to enumerate elements and fuzzy subsets of a finite set enjoying some useful properties through the well-known counting technique of the principle of inclusion-exclusion. We consider the set of membership values to be finite and uniformly spaced in the real unit interval. Further we define an equivalence relation with regards to the cardinalities of fuzzy subsets providing the Möbius function and Möbius inversion in that context.
- Format
- 106 p., pdf
- Publisher
- Rhodes University, Faculty of Science, Mathematics
- Language
- English
- Rights
- Talwanga, Matiki
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RU Department of Mathematics (Pure and Applied)
| Thumbnail | File | Description | Size | Format | |||
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| View Details | SOURCEPDF | 1 MB | Adobe Acrobat PDF | View Details |