1
Department of Mathematics, Saveetha School of Engineering, Saveetha University, Saveetha Institute of Medical and Technical Sciences, Chennai-602105, India
(sreelatu@gmail.com)
2
Department of Mathematics, Saveetha School of Engineering, Saveetha University, Saveetha Institute of Medical and Technical Sciences, Chennai-602105, India
(palanimaths86@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 propose the concept of diophantine Q-neutrosophic subbisemiring(DioQNSBS), level sets of DioQNSBS of a bisemiring. The idea of DioQNSBS is an extension of fuzzy subbisemiring over bisemiring. Exploring the concept for DioQNSBS over bisemiring. Let H be the diophantine Q-neutrosophic subset in D, prove H = ⟨(Γ_H^T,Γ_H^I,Γ_H^F ), (ΛH, ΞH, ΦH )⟩ is a DioQNSBS of D if and only if all non empty level set H(t,s) is a subbisemiring of D for t, s ∈ [0, 1]. Let H be the DioQNSBS of a bisemiring D and M be the strongest diophantine Q-neutrosophic relation (SDioQNSR)of D, we notice H is a DioQNSBS of D if and only if M is a DioQNSBS of D × D. Let H1, H2, ..., Hn be the family of DioQNSBSs of D1, D2, ..., Dn respectively, prove H1 × H2 × ... × Hn is a DioQNSBS of D1 × D2 × ... × Dn. The homomorphic image of DioQNSBS is a DioQNSBS. The homomorphic preimage of DioQNSBS is a DioQNSBS. Illustrations are presented to demonstrate results.
Keywords :
Homomorphism; neutrosophic subbisemiring;fuzzy subbisemiring; Diophantine neutrosophic bisemiring; Q diophantine neutrosophic subbisemiring.
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| Style | # |
|---|---|
| MLA | V. Sreelatha devi, M. Palanikumar, Aiyared Iampan. "Characterization of fuzzy algebraic structure based on diophantine Q-neutrosophic subbisemiring of bisemiring." International Journal of Neutrosophic Science, Vol. 22, No. 2, 2023 ,PP. 78-94 (Doi : https://doi.org/10.54216/IJNS.220207) |
| APA | V. Sreelatha devi, M. Palanikumar, Aiyared Iampan. (2023). Characterization of fuzzy algebraic structure based on diophantine Q-neutrosophic subbisemiring of bisemiring. Journal of International Journal of Neutrosophic Science, 22 ( 2 ), 78-94 (Doi : https://doi.org/10.54216/IJNS.220207) |
| Chicago | V. Sreelatha devi, M. Palanikumar, Aiyared Iampan. "Characterization of fuzzy algebraic structure based on diophantine Q-neutrosophic subbisemiring of bisemiring." Journal of International Journal of Neutrosophic Science, 22 no. 2 (2023): 78-94 (Doi : https://doi.org/10.54216/IJNS.220207) |
| Harvard | V. Sreelatha devi, M. Palanikumar, Aiyared Iampan. (2023). Characterization of fuzzy algebraic structure based on diophantine Q-neutrosophic subbisemiring of bisemiring. Journal of International Journal of Neutrosophic Science, 22 ( 2 ), 78-94 (Doi : https://doi.org/10.54216/IJNS.220207) |
| Vancouver | V. Sreelatha devi, M. Palanikumar, Aiyared Iampan. Characterization of fuzzy algebraic structure based on diophantine Q-neutrosophic subbisemiring of bisemiring. Journal of International Journal of Neutrosophic Science, (2023); 22 ( 2 ): 78-94 (Doi : https://doi.org/10.54216/IJNS.220207) |
| IEEE | V. Sreelatha devi, M. Palanikumar, Aiyared Iampan, Characterization of fuzzy algebraic structure based on diophantine Q-neutrosophic subbisemiring of bisemiring, Journal of International Journal of Neutrosophic Science, Vol. 22 , No. 2 , (2023) : 78-94 (Doi : https://doi.org/10.54216/IJNS.220207) |