IJPAM: Volume 92, No. 1 (2014)

DET-NORM ON FUZZY MATRICES

A. Nagoor Gani$^1$, A.R. Manikandan$^2$
$^{1,2}$PG and Research Department of Mathematics
Jamal Mohamed College
Tiruchirappalli, 620 020, INDIA


Abstract. In this paper we introduce fuzzy det-norm ordering with fuzzy matrices using the structure of $M_n (F),$ the set of $(n \times n)$ 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.

Received: August 8, 2013

AMS Subject Classification: 03E72, 15B15

Key Words and Phrases: fuzzy matrix, fuzzy m-norm matrix, t-ordering, determinant of a square fuzzy matrix

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DOI: 10.12732/ijpam.v92i1.1 How to cite this paper?

Source: International Journal of Pure and Applied Mathematics
ISSN printed version: 1311-8080
ISSN on-line version: 1314-3395
Year: 2014
Volume: 92
Issue: 1
Pages: 1 - 12

CC BY This work is licensed under the Creative Commons Attribution International License (CC BY).