FUZZY COMPACT FUZZY DISTANCE SPACE

Jehad R. Kider, Aisha J. Hassan

Abstract


In this paper we recall the definition of fuzzy distance space on a fuzzy set then we define a compact fuzzy distance space and fuzzy totally bounded after that we prove that fuzzy totally bounded fuzzy complete fuzzy distance space is fuzzy compact. Moreover we recall the definition of fuzzy continuous and uniform fuzzy continuous function to prove that fuzzy continuous function and uniform fuzzy continuous functions are equivalent on a fuzzy compact fuzzy distance spaces .

Keywords


Fuzzy distance space ,fuzzy compact fuzzy distance space,fuzzy bounded, fuzzy totally bounded, fuzzy continuous function.

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References


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