Journal of Neutrosophic and Fuzzy Systems
JNFS
2771-6449
2771-6430
10.54216/JNFS
https://www.americaspg.com/journals/show/2879
2021
2021
Classification of States for Literal Neutrosophic and Plithogenic Markov Chains
Faculty of Science, Department of Mathematical Statistics, University of Aleppo, Aleppo, Syria
Mohamed
Mohamed
Faculty of Science, Department of Mathematical Statistics, University of Aleppo, Aleppo, Syria
Mohamed Bisher
Zeina
Faculty of Science, Department of Mathematical Statistics, University of Aleppo, Aleppo, Syria
Yasin
Karmouta
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.
2024
2024
49
61
10.54216/JNFS.080206
https://www.americaspg.com/articleinfo/24/show/2879