TOWARDS FORMING THE FIELD OF FUZZY CLOSURE WITH REFERENCE TO FUZZY BOUNDARY

Abstract

It has been accepted that in fuzzy topology for a fuzzy set A, cl(A) ≠ A U bd(A), we are going to put forward extension of the definition of fuzziness. With the help of this extension definition of fuzzy set, we would be able to define the closure of a fuzzy set properly. This in turn would allow us to assert that in fuzzy topology cl(A) = A U bd(A).

Keywords

• Fuzzy membership function
• Fuzzy reference function
• Fuzzy membership value
• Fuzzy topology
• fuzzy open
• fuzzy close
• Fuzzy closure.