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We discuss some operation on circulant fuzzy matrices. We also study circulant fuzzy det-norm matrices using the structure of Mn(F), the set of square circulant fuzzy det-norm matrices is introduced. We prove that circulant det-norm ordering is a partitions ordering on the set of all idempotent matrices in Mn(F). Finally we introduced relationship between these ordering with circulant det-norm ordering and also we investigate the concept of circulant fuzzy norm and partitions of Mn(F), properties of circulant fuzzy det-norm ordering.

A note on det-norm of circulant fuzzy matrices