Burton, Michael Howard (1992) Fuzzy uniform spaces. PhD thesis, Rhodes University.
For a fuzzy uniform space, the notion of a Cauchy prefilter, a precompact fuzzy set, a complete fuzzy set and a bounded fuzzy set are defined in such a way that these notions are good extensions of the corresponding notions for a uniform space. A theory of fuzzy uniform spaces is developed which generalises the theory of uniform spaces.
|Item Type:||Thesis (PhD)|
|Uncontrolled Keywords:||Fuzzy uniformity, Cauchy filter, Cauchy prefilter, Precompact fuzzy set, Complete fuzzy set, Compact fuzzy set, Bounded fuzzy set, Cauchy prefilter, Cauchy filter, Bounded set|
|Subjects:||Q Science > QA Mathematics|
|Divisions:||Faculty > Faculty of Science > Mathematics (Pure & Applied)|
|Deposited By:||Philip Clarke|
|Deposited On:||05 Dec 2012 08:23|
|Last Modified:||05 Dec 2012 08:23|
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