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

Title: The principle of inclusion-exclusion and möbius function as counting techniques in finite fuzzy subsets
Creator: Talwanga, Matiki
Subject: Fuzzy logic
Subject: Fuzzy sets
Subject: Fuzzy systems
Subject: Möbius function
Date Issued: 2009
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.
Format: pdf
Publisher: Rhodes University
Publisher: Faculty of Science, Mathematics
Language: English
Rights: Talwanga, Matiki

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