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

by Pinchuck, A.L.

Abstract (Summary)
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.
Bibliographical Information:


School:Rhodes University

School Location:South Africa

Source Type:Master's Thesis

Keywords:mathematics pure applied


Date of Publication:01/01/2002

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