Extension theorems on L-topological spaces and L-fuzzy vector spaces

Pinchuck, A.L. (2002) Extension theorems on L-topological spaces and L-fuzzy vector spaces. Masters thesis, Rhodes University.




A non-trivial example of an L-topological space, the fuzzy real line is examined. Various L-topological properties and their relationships are developed. Extension theorems on the L-fuzzy real line as well as extension theorems on more general L-topological spaces follow. Finally, a theory of L-fuzzy vector spaces leads up to a fuzzy version of the Hahn-Banach theorem.

Item Type:Thesis (Masters)
Additional Information:M.Sc. (Mathematics)
Uncontrolled Keywords:L-topological space, L-fuzzy real line, L-fuzzy unit interval, L-fuzzy vector space, fuzzy normed space, Extension theorems
Subjects:Y Unknown > Subjects to be assigned
Divisions:Faculty > Faculty of Science > Mathematics (Pure & Applied)
Supervisors:Kotzé, W. (Prof.)
ID Code:1301
Deposited By: Rhodes Library Archive Administrator
Deposited On:03 Mar 2009
Last Modified:06 Jan 2012 16:20
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