Author/Authors :
Kavitha, M. Department of Mathematics - Annamalai University, Annamalainagar, India , Murugadas, P. Department of Mathematics - Government Arts college (Autonomous), Karur, India , Sriram, S. Annamalai University
Abstract :
In this paper, The powers of fuzzy neutrosophic soft square matrices (FNSSMs)
under the operations (= max) and (= 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 sucient 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.
Keywords :
Fuzzy neutrosophic soft set (FNSS) , fuzzy neutrosophic soft matrix (FNSM) , fuzzy neutrosophic soft vector (FNSV) , fuzzy neutrosophic soft eigenvectors (FNSEvs)