JISE


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Journal of Information Science and Engineering, Vol. 39 No. 3, pp. 593-607


On Complex Fuzzy Matrix with Algebraic Operations, Similarity Measure and its Application in Identification of Reference Signal


MAHIMA POONIA1, RAKESH KUMAR BAJAJ1,+ AND LINDA ROSE JIMSON2
1Department of Mathematics
Jaypee University of Information Technology, Waknaghat
Solan, Himachal Pradesh, 173234 India

2Department of Computer Science and Engineering
Cochin University of Science and Technology
Cochin, 682022 India

+E-mail: rakesh.bajaj@gmail.com


In the literature of application fields of science and technology, various matrix systems involving Lyapunov, Sylvester, & Stein matrix equations have been investigated and paid attention by different researchers in the last decades. In view of this, various algebraic operations and properties like addition, multiplication, associative, distributive, and commutative have been studied in the case of the complex fuzzy matrix (CFM). In addition to this, a new similarity measure has also been proposed for CFMs along with a detailed explanatory numerical example. The proposed modification and extension significantly contribute in order to model the uncertainty & inexactness a little more accurately. Further, an application in the area of identification of reference signals has been described with the help of the CFM and operations.


Keywords: complex fuzzy matrix, matrix binary operations, uncertainty, similarity measure, reference signal

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