IJPAM: Volume 92, No. 1 (2014)
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 the set of 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 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 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 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
Pages: 1 - 12
This work is licensed under the Creative Commons Attribution International License (CC BY).