On the powers of fuzzy neutrosophic soft matrices

Authors

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

volume 07  issue 02

pages  133- 147

publication date 2018-06-01

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