Study on Fuzzy Topological Space

Authors : A. Suganthi

Volume/Issue : Volume 2 - 2017, Issue 12 - December

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This dissertation entitled “ A STUDY ON FUZZY TOPOLOGICAL SPACE” contains four chapters. It is meant to study the basic concept and carious interesting result on Fuzzy Topological Space.The chapter – 1 is meant to recall the basic definition and various well known results relevant to this dissertation.In chapter – 2 we study about the basic definition and the most important theorems such as Fuzzy topological space, Basis and Subbasis for FTS, Closure and interior of Fuzzy sets, Neighbourhood, Fuzzy Continuous maps, Sequences of Fuzzy Sets.In chapter – 3 we study about the Compact fuzzy topological space, Fuzzy regular space, Fuzzy normal space, Other Separation axioms.


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