1
Department of Advanced Mathematical Science, Saveetha School of Engineering, Saveetha University, Saveetha Institute of Medical and Technical Sciences, Chennai-602105, India
(palanimaths86@gmail.com)
2
Department of Mathematics, Bharath Institute of Higher Education and Research, Tamil Nadu, Chennai-600073, India
(arulmozhiems@gmail.com)
3
Fuzzy Algebras and Decision-Making Problems Research Unit, Department of Mathematics, School of Science, University of Phayao, Mae Ka, Mueang, Phayao 56000, Thailand
(aiyared.ia@up.ac.th)
Abstract :
We introduce the notion of interval valued neutrosophic subbisemirings (IVNSBSs), level sets of IVNSBSs and interval valued neutrosophic normal subbisemirings (IVNNSBSs) of bisemirings. Also, we introduce an approach to (α , β)-IVNSBSs and IVNNSBSs over bisemirings. Let à be an interval valued neutrosophic set (IVN set) in a bisemiring S. We have proved that š = (sTA‚ sIA‚ sFA) is an IVNSBS of S if and only if all non-void level set S(T,S) is a subbisemiring of S for t, s ∈ [[0,1]]. Let à be an IVNSBS of a bisemiring S and V be the strongest interval valued neutrosophic relation (SIVNR) of S. Prove that à is an IVNSBS of S if and only if V is an IVNSBS of S X S. We illustrate homomorphic image of IVNSBS is an IVNSBS. We find that homomorphic preimage of IVNSBS is an IVNSBS. Examples are provided to illustrate our results.
Keywords :
IVNSBS; IVNNSBS; SIVNR; homomorphism
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Style | # |
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MLA | M. Palanikumar, K. Arulmozhi, Aiyared Iampan. "Interval Valued Neutrosophic Subbisemirings of Bisemirings." International Journal of Neutrosophic Science, Vol. 19, No. 1, 2022 ,PP. 116-131 (Doi : https://doi.org/10.54216/IJNS.190109) |
APA | M. Palanikumar, K. Arulmozhi, Aiyared Iampan. (2022). Interval Valued Neutrosophic Subbisemirings of Bisemirings. Journal of International Journal of Neutrosophic Science, 19 ( 1 ), 116-131 (Doi : https://doi.org/10.54216/IJNS.190109) |
Chicago | M. Palanikumar, K. Arulmozhi, Aiyared Iampan. "Interval Valued Neutrosophic Subbisemirings of Bisemirings." Journal of International Journal of Neutrosophic Science, 19 no. 1 (2022): 116-131 (Doi : https://doi.org/10.54216/IJNS.190109) |
Harvard | M. Palanikumar, K. Arulmozhi, Aiyared Iampan. (2022). Interval Valued Neutrosophic Subbisemirings of Bisemirings. Journal of International Journal of Neutrosophic Science, 19 ( 1 ), 116-131 (Doi : https://doi.org/10.54216/IJNS.190109) |
Vancouver | M. Palanikumar, K. Arulmozhi, Aiyared Iampan. Interval Valued Neutrosophic Subbisemirings of Bisemirings. Journal of International Journal of Neutrosophic Science, (2022); 19 ( 1 ): 116-131 (Doi : https://doi.org/10.54216/IJNS.190109) |
IEEE | M. Palanikumar, K. Arulmozhi, Aiyared Iampan, Interval Valued Neutrosophic Subbisemirings of Bisemirings, Journal of International Journal of Neutrosophic Science, Vol. 19 , No. 1 , (2022) : 116-131 (Doi : https://doi.org/10.54216/IJNS.190109) |