Submit Your Paper
  1. Home
  2. Journals
  3. International Journal of Neutrosophic Science

International Journal of Neutrosophic Science

Journal DOI

https://doi.org/10.54216/IJNS

Submit Your Paper

2690-6805ISSN (Online) 2692-6148ISSN (Print)
Submit Your Paper

Journal Menu

Homepage Journal Overview Editorial Board Submitting Articles Indexing & Abstracting

Journal Volumes

International Journal of Neutrosophic Science

Volume 23 , Issue 3 , PP: 304-317, 2024 | Cite this article as | XML | Html | PDF | Full Length Article

Neutrosophic ideals of several types in UP (BCC)-algebras

V. Rajam 1 , N. Rajesh 2 , Aiyared Iampan 3 *

  • 1 Department of Mathematics, Rajah Serfoji Government College (affiliated to Bharathidasan University), Thanjavur 613005, Tamilnadu, India - (rajamramv@gmail.com)
  • 2 Department of Mathematics, Rajah Serfoji Government College (affiliated to Bharathidasan University), Thanjavur 613005, Tamilnadu, India - (nnrajesh topology@yahoo.co.in)
  • 3 Department of Mathematics, School of Science, University of Phayao, 19 Moo 2, Tambon Mae Ka, Amphur Mueang, Phayao 56000, Thailand - (aiyared.ia@up.ac.th)

    • Doi: https://doi.org/10.54216/IJNS.230325

    Received: July 23, 2023 Revised: November 24, 2023 Accepted: February 23, 2024
    Abstract

    Characterizations of (∈,∈)-neutrosophic ideals and (q,∈ ∨q)-neutrosophic ideals are provided. Given special sets, so-called neutrosophic ∈-subsets, neutrosophic q-subsets, and neutrosophic (q,∈ ∨q)-subsets, conditions for the neutrosophic ∈-subsets, neutrosophic q-subsets, and neutrosophic (q,∈ ∨q)-subsets to be ideals are discussed.

    Keywords :

    neutrosophic set , (&isin , ,&isin , )-neutrosophic ideal , (&isin , , q)-neutrosophic ideal , (q,&isin , )-neutrosophic ideal , (q,&isin , )-neutrosophic ideal , (q,&isin , &or , q)-neutrosophic ideal , (q,&isin , &or , q)-neutrosophic ideal.

    References

    [1] Y. Huang, BCI-algebra, Science Press, Beijing, China, 2006.

    [2] A. Iampan, A new branch of the logical algebra: UP-algebras, J. Algebra Relat. Top., 5(1), (2017), 35-54.

    [3] Y. B. Jun, Neutrosophic subalgebras of several types in BCK/BCI-algebras, Ann. Fuzzy Math. Inform., 14(1), (2017), 75-86.

    [4] Y. B. Jun, B. Brundha, N. Rajesh, and R. K. Bandaru, (3, 2)-Fuzzy UP (BCC)-subalgebras and (3, 2)- fuzzy UP (BCC)-filters, J. Mahani Math. Res. Cent., 11(3), (2022), 1-14.

    [5] Y. Komori, The class of BCC-algebras is not a variety, Math. Japon., 29(3), (1984), 391-394.

    [6] G. Muhiuddin, H. Bordbar, F. Smarandache, and Y. B. Jun, Further results on (∈,∈)-neutrosophic subalgebras and ideals in BCK/BCI-algebras, Neutrosophic Sets Syst., 20, (2018), 36-43.

    [7] G. Muhiuddin and Y. B. Jun, Further results of neutrosophic subalgebras in BCK/BCI-algebras based on neutrosophic points, TWMS J. App. Eng. Math., 10(1), (2020), 232-240.

    [8] M. A. Ozturk and Y. B. Jun, Neutrosophic ideals in BCK/BCI-algebras based on neutrosophic points, J. Int. Math. Virtual Inst., 8(1), (2018), 1-17.

    [9] A. B. Saeid and Y. B. Jun, Neutrosophic subalgebras of BCK/BCI-algebras based on neutrosophic points, Ann. Fuzzy Math. Inform., 14(2), (2017), 87-97.

    [10] F. Smarandache, A unifying field in logics: neutrosophic logic. Neutrosophy, neutrosophic set, neutrosophic probability (fourth edition), Rehoboth American Research Press, 2008.

    [11] F. Smarandache, Neutrosophic set-a generalization of the intuitionistic fuzzy set, Int. J. Pure Appl. Math., 24(3), (2005), 287-297.

    [12] L. A. Zadeh, From circuit theory to system theory, Proc. Inst. Radio Eng., 50, (1962), 856-865.

    [13] L. A. Zadeh, Fuzzy sets, Inf. Control, 8(3), (1965), 338-353.

    Cite This Article As :
    Rajam, V.. , Rajesh, N.. , Iampan, Aiyared. Neutrosophic ideals of several types in UP (BCC)-algebras. International Journal of Neutrosophic Science, vol. , no. , 2024, pp. 304-317. DOI: https://doi.org/10.54216/IJNS.230325
    Rajam, V. Rajesh, N. Iampan, A. (2024). Neutrosophic ideals of several types in UP (BCC)-algebras. International Journal of Neutrosophic Science, (), 304-317. DOI: https://doi.org/10.54216/IJNS.230325
    Rajam, V.. Rajesh, N.. Iampan, Aiyared. Neutrosophic ideals of several types in UP (BCC)-algebras. International Journal of Neutrosophic Science , no. (2024): 304-317. DOI: https://doi.org/10.54216/IJNS.230325
    Rajam, V. , Rajesh, N. , Iampan, A. (2024) . Neutrosophic ideals of several types in UP (BCC)-algebras. International Journal of Neutrosophic Science , () , 304-317 . DOI: https://doi.org/10.54216/IJNS.230325
    Rajam V. , Rajesh N. , Iampan A. [2024]. Neutrosophic ideals of several types in UP (BCC)-algebras. International Journal of Neutrosophic Science. (): 304-317. DOI: https://doi.org/10.54216/IJNS.230325
    Rajam, V. Rajesh, N. Iampan, A. "Neutrosophic ideals of several types in UP (BCC)-algebras," International Journal of Neutrosophic Science, vol. , no. , pp. 304-317, 2024. DOI: https://doi.org/10.54216/IJNS.230325

    Article Statistics

    View
    55114
    Download
    443

    Download