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International Journal of Neutrosophic Science

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Online: 2690-6805 Print: 2692-6148
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International Journal of Neutrosophic Science
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Volume 21 • Issue 2 • PP: 59-70 • 2023

Bipolar Neutrosophic Finite Switchboard State Machines

Aiyared Iampan 1*
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,
U. Venkata Kalyani 2
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,
T. Eswarlal 3
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,
G. V. R. Reddy 3
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1Fuzzy Algebras and Decision-Making Problems Research Unit, Department of Mathematics, School of Science, University of Phayao, Mae Ka, Mueang, Phayao 56000, Thailand
2Department of Basic Sciences and Humanities, Dhanekula Institute of Engineering and Technology, Ganguru, AP, India
3Department of Engineering Mathematics, College of Engineering, Koneru Lakshmaiah Education Foundation, Vaddeswaram, AP, India
* Corresponding Author.
DOI https://doi.org/10.54216/IJNS.210204
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© 2023 The Author(s). Published by ASPG. This article is licensed under the Creative Commons Attribution 4.0 International License (CC BY 4.0).

Received: January 10, 2023 Revised: April 20, 2023 Accepted: May 12, 2023 70
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Abstract

The notion of bipolar neutrosophic finite switchboard state machines (BNFSSTMs), homomorphisms and strong homomorphisms of bipolar neutrosophic finite state machines (BNFSSTMs) are introduced and some related results are studied.

Keywords

neutrosophic set (NS) bipolar neutrosophic set (BNS) bipolar neutrosophic finite state machine (BNFSM) bipolar neutrosophic switchboard state machine (BNFSSTM) homomorphism and strong homomorphism.

References

[1] L. A. Zadeh, Fuzzy sets, Information and Control, vol. 8, no. 3, pp. 338-353, 1965.

[2] K. M. Lee, Bipolar-valued fuzzy sets and their operations, Proceedings of International Conference on Intelligent Technologies, Bangkok, Thailand, pp. 307-312, 2000.

[3] F. Smarandache, A unifying field in logics: neutrosophy, neutrosophic probability, set and logic, Rehoboth, American Research Press, 1999.

[4] D. S. Malik, J. N. Mordeson, M. K. Sen, Products of fuzzy finite state machines, Fuzzy Sets and Systems, vol. 92, pp. 95-102, 1997.

[5] D. S. Malik, J. N. Mordeson and M. K. Sen, Minimization of fuzzy finite automata, Information Sciences, vol. 113, pp. 323-330, 1999.

[6] H. V. Kumbhojkar and S. R. Chaudhari, On covering of products of fuzzy finite state machines, Fuzzy sets and systems, vol. 125, pp. 215-222, 2002.

[7] Y. Sato and N Kuroki, Fuzzy finite switchboard state machines, Journal of Fuzzy Mathematics, vol. 10, no. 4, pp. 863-874, 2002.

[8] Y. B. Jun, Intuitionistic fuzzy finite state machines, Journal of Applied Mathematics and Computing, vol. 17, pp. 109-120, 2005.

[9] Y. B. Jun, Intuitionistic fuzzy finite switchboard state machines, Journal of Applied Mathematics and Computing, vol. 20, no. 1-2, pp. 315-325, 2006.

[10] Y. B. Jun and J. Kavikumar, Bipolar fuzzy finite state machines, Bulletin of the Malaysian Mathematical Sciences Society, vol. 34, no. 1, pp. 181-188, 2011.

[11] T. Mahmood, Q. Khan, K. Ullah and N. Jan, Single valued neutrosophic finite state machine and switchboard state machine. New Trends in Neutrosophic Theory and Applications, vol. 2, pp. 394-412, 2018.

[12] S. Prabhu, R. Narmada Devi and D. Vidhya, Finite state machine via bipolar neutrosophic set theory, The Journal of Fuzzy Mathematics, vol. 25, no. 4, pp. 865-884, 2017.

[13] K. Reena, Bipolar vague finite switchboard state machine, International Journal of Mathematics Trends and Technology, vol. 65, no. 7, pp. 31-40, 2019.

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Iampan, Aiyared, Kalyani, U. Venkata, Eswarlal, T., Reddy, G. V. R.. "Bipolar Neutrosophic Finite Switchboard State Machines." International Journal of Neutrosophic Science, vol. Volume 21, no. Issue 2, 2023, pp. 59-70. DOI: https://doi.org/10.54216/IJNS.210204
Iampan, A., Kalyani, U., Eswarlal, T., Reddy, G. (2023). Bipolar Neutrosophic Finite Switchboard State Machines. International Journal of Neutrosophic Science, Volume 21(Issue 2), 59-70. DOI: https://doi.org/10.54216/IJNS.210204
Iampan, Aiyared, Kalyani, U. Venkata, Eswarlal, T., Reddy, G. V. R.. "Bipolar Neutrosophic Finite Switchboard State Machines." International Journal of Neutrosophic Science Volume 21, no. Issue 2 (2023): 59-70. DOI: https://doi.org/10.54216/IJNS.210204
Iampan, A., Kalyani, U., Eswarlal, T., Reddy, G. (2023) 'Bipolar Neutrosophic Finite Switchboard State Machines', International Journal of Neutrosophic Science, Volume 21(Issue 2), pp. 59-70. DOI: https://doi.org/10.54216/IJNS.210204
Iampan A, Kalyani U, Eswarlal T, Reddy G. Bipolar Neutrosophic Finite Switchboard State Machines. International Journal of Neutrosophic Science. 2023;Volume 21(Issue 2):59-70. DOI: https://doi.org/10.54216/IJNS.210204
A. Iampan, U. Kalyani, T. Eswarlal, G. Reddy, "Bipolar Neutrosophic Finite Switchboard State Machines," International Journal of Neutrosophic Science, vol. Volume 21, no. Issue 2, pp. 59-70, 2023. DOI: https://doi.org/10.54216/IJNS.210204
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