Mathematics and Statistics Vol. 11(5), pp. 786 - 793
DOI: 10.13189/ms.2023.110504
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The Generalized Inverse of Picture Fuzzy Matrices

V.Kamalakannan ^1,*, P.Murugadas ², M.Kavitha ^3
1 Department of Mathematics, Panimalar Engineering College, India
² Department of Mathematics, Annamalai University, India
³ Department of Mathematics, Bharath Institute of Higher Education and Research, India

ABSTRACT

The generalized inverse is crucial in matrix theory. In many applications, such as control systems, robotics, and signal processing, the generalized inverse of matrices is critical. The generalized inverse of a picture fuzzy matrix is critical to solving a variety of real-world problems. Because of their ability to handle uncertain and imprecise medical data, applications of the generalized inverse of picture fuzzy matrix have gained significant attention in the medical field. Numerous researchers have investigated generalized inverses in fuzzy matrices and intuitionistic matrices. The fuzzy picture is an effective mathematical model for dealing with uncertain realworld issues. The picture fuzzy matrix is a generalization of the classical fuzzy matrix and the intuitionistic fuzzy matrix. In this research, a method for determining the generalized inverse (g-inverse) of a picture fuzzy matrix is implemented. In addition, the concept of a standard basis for picture fuzzy vectors is established. A few results related to the g-inverse of a fuzzy picture matrix are premeditated with relevant examples. An algorithm for evaluating the generalized inverse of a fuzzy picture matrix is provided. This study concludes with an application of the g-inverse of a picture fuzzy matrix.

KEYWORDS
Picture Fuzzy (PictF), Picture Fuzzy Set (PictFS), Fuzzy Matrices (FM), Picture Fuzzy Matrices (PictFMs), Picture Fuzzy Permutation Matrix (PictFPM), Picture fuzzy vectors (PictFVs), Generalized Inverse (GI), Relational Equation (RI), Semi Inverse (SI)

Cite This Paper in IEEE or APA Citation Styles
(a). IEEE Format:
[1] V.Kamalakannan , P.Murugadas , M.Kavitha , "The Generalized Inverse of Picture Fuzzy Matrices," Mathematics and Statistics, Vol. 11, No. 5, pp. 786 - 793, 2023. DOI: 10.13189/ms.2023.110504.

(b). APA Format:
V.Kamalakannan , P.Murugadas , M.Kavitha (2023). The Generalized Inverse of Picture Fuzzy Matrices. Mathematics and Statistics, 11(5), 786 - 793. DOI: 10.13189/ms.2023.110504.