GENERALIZATION OF PICTURE FUZZY MATRIX

GENERALIZATION OF PICTURE FUZZY MATRIX

M. KAVITHA, P. MURUGADAS

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Abstract. In this paper, we introduce the concept of k-regular Picture Fuzzy Matrix (PiFuM) as a generalization of regular matrix and investigate some basic properties of a k-Regular Picture Fuzzy Matrix (k-RPiFuM). Moreover we analyze the characterization of a matrix for which the regularity index and the index are identical. Furthermore the relation between regular, k-regular and regularity of powers of picture fuzzy matrices are discussed.

Keywords:Picture Fuzzy Set(PiFuS), Picture Fuzzy Matrices(PiFuMs), K-Regular Pic- ture Fuzzy Matrix (k-RPiFuM), Powers of Picture Fuzzy Matrices (PPiFuMs).

AMS Subject Classification:Primary 03E72; Secondary 15B15.