On the powers of fuzzy neutrosophic soft matrices

Subject Areas : History and biography

M.  Kavitha ¹ (Department of Mathematics, Annamalai University, Annamalainagar-608002, India)
P.  Murugadas ² (Department of Mathematics, Government Arts college (Autonomous), Karur, India)
S.  Sriram ³ (Mathematics Wing, Directorate of Distance Education, Annamalai University, Annamalainagar-608002, India)

Received: 2018-03-12 Accepted : 2018-04-20 Published : 2018-06-01

Keywords: Fuzzy neutrosophic soft set‎, ‎fuzzy neutrosophic soft matrix, ‎fuzzy neutrosophic soft vector, ‎fuzzy neutrosophic soft eigenvectors‎, ‎circulant fuzzy neutrosophic soft matrix,

Abstract :

In this paper, ‎The powers of fuzzy neutrosophic soft square matrices (FNSSMs) under the operations $\oplus(=max)$ and $\otimes(=min)$ are studied‎. ‎We show that the powers of a given FNSM stabilize if and only if its orbits stabilize for each starting fuzzy neutrosophic soft vector (FNSV) and prove a necessary and sufficient condition for this property using the associated graphs of the FNSM‎. ‎Applications of the obtained results to several spacial classes of FNSMs (including circulants) are given‎.

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