The principle of inclusion-exclusion and möbius function as counting techniques in finite fuzzy subsets

dc.contributor.advisor	Murali, V
dc.contributor.author	Talwanga, Matiki
dc.date.accessioned	2026-03-03T13:36:14Z
dc.date.issued	2009
dc.description.abstract	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.
dc.description.degree	Master's thesis
dc.description.degree	MSc
dc.format.extent	106 pages
dc.format.mimetype	application/pdf
dc.identifier.other	http://hdl.handle.net/10962/d1005227
dc.identifier.uri	https://researchrepository.ru.ac.za/handle/123456789/4140
dc.language	English
dc.publisher	Rhodes University, Faculty of Science, Department of Mathematics
dc.rights	Talwanga, Matiki
dc.subject	Fuzzy logic
dc.subject	Fuzzy sets
dc.subject	Fuzzy systems
dc.subject	Möbius function
dc.title	The principle of inclusion-exclusion and möbius function as counting techniques in finite fuzzy subsets
dc.type	Academic thesis

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