Central Tehran Branch, Islamic Azad UniversityJournal of Linear and Topological Algebra ( JLTA )2252-0201070220180601On the powers of fuzzy neutrosophic soft matrices133147541177ENM.KavithaDepartment of Mathematics, Annamalai University, Annamalainagar-608002, IndiaP.MurugadasDepartment of Mathematics, Government Arts college (Autonomous), Karur, IndiaS.SriramMathematics Wing, Directorate of Distance Education, Annamalai University, Annamalainagar-608002, IndiaJournal Article20180312In 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.http://jlta.iauctb.ac.ir/article_541177_7b0d65f25cb0de011b4d53a11dda7950.pdf