- 期刊
- OpenAccess
On Complex Fuzzy Matrix with Algebraic Operations, Similarity Measure and its Application in Identification of Reference Signal
摘要
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.
延伸閱讀
- Guo, X., & Shang, D. (2012). Fuzzy Symmetric Solutions of Fuzzy Matrix Equations. Advances in Fuzzy Systems, 2012(), 155-163. https://doi.org/10.1155/2012/318069
- Pantelous, A. A., Karageorgos, A. D., Kalogeropoulos, G. I., & Arvanitis, K. G. (2010). Solution Properties of Linear Descriptor (Singular) Matrix Differential Systems of Higher Order with (Non-) Consistent Initial Conditions. Abstract and Applied Analysis, (2010), 1813-1836. https://doi.org/10.1155/2010/897301
- Shenan, J. M. (2014). Preserving Properties of Subordination and Superordination of Analytic Functions Associated with a Fractional Differintegral Operator. Tamkang Journal of Mathematics, 45(1), 63-75. https://doi.org/10.5556/j.tkjm.45.2014.1332
- Hsu, C. Y. (2012). Regularized Least Squares based Hierarchical Cooperative Coevolutionary Algorithm for Neural Fuzzy Network Design and Image Alignment Applications [doctoral dissertation, National Chiao Tung University]. Airiti Library. https://doi.org/10.6842/NCTU.2012.00176
- Chiao, K. P. (1997). Convergence and Oscillation of Fuzzy Matrices Under SUP-T Composition. Tamsui Oxford Journal of Mathematical Sciences, (13), 17-29. https://doi.org/10.6988/TOJMS.199711.0017