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

Talwanga, M. (2009) The principle of inclusion-exclusion and Möbius function as counting techniques in finite fuzzy subsets. Masters thesis, Rhodes University.

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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.

Item Type:Thesis (Masters)
Uncontrolled Keywords:Fuzzy sets; lattices; cardinality; equivalence; Möbius functions; Möbius inversion; principle of inclusion and exclusion
Subjects:Q Science > QA Mathematics
Divisions:Faculty > Faculty of Science > Mathematics (Pure & Applied)
Supervisors:Murali, V. (Prof.)
ID Code:1562
Deposited By: Nicolene Mvinjelwa
Deposited On:09 Mar 2010 12:30
Last Modified:06 Jan 2012 16:20
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