Mathematics > General Mathematics
[Submitted on 4 Jun 2018]
Title:Fuzzy $α$-cut and related structures
View PDFAbstract:This paper deals with a new notion called fuzzy $\alpha$-cut and its properties. A notion called localic frame is also introduced. Algebraic structures arising out of the family of fuzzy $\alpha$-cuts have been investigated. It will be seen that this family forms a localic frame. Some significance and usefulness of fuzzy $\alpha$-cuts are discussed.
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