DET-NORM ON FUZZY MATRICES
A. Nagoor Gani, A. R. Manikandan · International Journal of Pure and Apllied Mathematics · 2014
In this paper we introduce fuzzy det-norm ordering with fuzzy matrices using the structure of M n (F ), the set of (n×n) fuzzy det-norm ordering with fuzzy matrices is introduced.From this row and column, determinant of the fuzzy norm has been obtained by imposing an equivalence relation on M n (F ).We know that the comparability relation on fuzzy matrices is a partial ordering.We prove that det-norm ordering is a partitions ordering on the set of all idempotent matrices in M n (F ).We begin with the det-norm ordering on fuzzy matrices as analogue of the ordering on real matrices.Several properties of these orderings are derived.Discuss their relationship between these ordering with det-norm ordering and Also we introduce the concept of Fuzzy norm and partitions of M n (F ), Properties of fuzzy det-norm ordering.