On the powers of fuzzy neutrosophic soft matrices

الموضوعات :

M. Kavitha ¹ , P. Murugadas ² , S. Sriram ³

1 - Department of Mathematics, Annamalai University, Annamalainagar-608002, India
2 - Department of Mathematics, Government Arts college (Autonomous), Karur, India
3 - Mathematics Wing, Directorate of Distance Education, Annamalai University, Annamalainagar-608002, India

تاريخ الإرسال : 24 الإثنين , جمادى الثانية, 1439 تاريخ التأكيد : 04 الجمعة , شعبان, 1439 تاريخ الإصدار : 17 الجمعة , رمضان, 1439

الکلمات المفتاحية: Fuzzy neutrosophic soft set‎, ‎fuzzy neutrosophic soft matrix, ‎fuzzy neutrosophic soft vector, ‎fuzzy neutrosophic soft eigenvectors‎, ‎circulant fuzzy neutrosophic soft matrix,

ملخص المقالة :

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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