Classification of States for Literal Neutrosophic and Plithogenic Markov Chains

Suhar Massassati¹, Mohamed Bisher Zeina^2,*, Yasin Karmouta³

Faculty of Science, Department of Mathematical Statistics, University of Aleppo, Aleppo, Syria

Email: suharmassasati1987@gmail.com; bisher.zeina@gmail.com; yassinkarmouta@gmail.com.

*  Correspondence: bisher.zeina@gmail.com

Abstract

In this paper we represent many classifications of neutrosophic and plithogenic Markov Chains states including absorbent states, inessential and essential states, recurrent states and communicated states. We prove that if a state (i) according to a neutrosophic Markov Chain with neutrosophic transition matrix  is classified as any of the previous classifications then it is also classified as the same classification in classical scene to two Markov Chains defined with transition matrices  respectively. Also, we prove that if a state (i) according to a plithogenic Markov Chain with plithogenic transition matrix  is classified as any of the previous classifications then it is also classified as the same classification in classical scene to three Markov Chains defined with transition matrices  respectively. Many theorems and solved examples are presented and solved successfully.

Keywords: Neutrosophic; Plithogenic; Markov Chain, Absorbent States; Inessential States; Essential States; Recurrent States; Communicated States.