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Title

On Some Properties of Fuzzy Spectrums of Implicative BCI Algebras

  Abd Alrida Basheer 1 *

1  Imam Kadhum College, Iraq
    (basheerabdalrida66n@gmail.com)


Doi   :   https://doi.org/10.54216/GJMSA.030203

Received: October 20, 2022 Accepted: January 12, 2023

Abstract :

An implicative BCI algebra is a non empty set X with a special element O and a binary operation * with many clear conditions.In this work, we study the topological space  and present some properties especially the compactness and connection. Also, we prove that it is a Hausdorff space and regular.

Keywords :

Implicative; BCI algebra; Fuzzy spectrums; topological space

References :

[1] K.S. Krishnamohan and K. Muthugurupackiam, Generalisation of Idempotent Fuzzy Matrices, International Journal of Applied Engineering Research, vol. 13, no. 13 (2018) pp. 11087-11090.

[2] Huang, Y., 2006. BCI-Algebra, Science Press-Beijing.

[3] M.G. Thomason, Convergence of powers of a fuzzy matrix, Journal of Mathematical Analysis and Applications, vol. 57(2) (February 1977) pp. 476-480.

[4]Liu, Y. and Meng, J., 2001. Fuzzy Ideals in BCI-Algebras, Fuzzy Sets and Systems. 123, 227-237.

[5]Zadeh, L.A., 1965. Fuzzy Sets, Inform. And Control. Vol.8, 338-353 .           

[6] Martin, N., Priya, R., & Smarandache, F. (2021). New Plithogenic sub cognitive maps approach with mediating effects of factors in COVID-19 diagnostic model. Journal of Fuzzy Extension and Applications, 2(1), 1-15. doi: 10.22105/jfea.2020.250164.1015

[7] Polymenis, A. (2021). A neutrosophic Student’s t –type of statistic for AR (1) random processes. Journal of Fuzzy Extension and Applications, 2(4), 388-393. doi: 10.22105/jfea.2021.287294.1149

[8] X.Yuan, E.S.Lee,Fuzzy group based on fuzzy binary operation, Comput. Math. App. 47 (2004) 631-641.

 


Cite this Article as :
Style #
MLA Abd Alrida Basheer. "On Some Properties of Fuzzy Spectrums of Implicative BCI Algebras." Galoitica: Journal of Mathematical Structures and Applications, Vol. 3, No. 2, 2023 ,PP. 24-27 (Doi   :  https://doi.org/10.54216/GJMSA.030203)
APA Abd Alrida Basheer. (2023). On Some Properties of Fuzzy Spectrums of Implicative BCI Algebras. Journal of Galoitica: Journal of Mathematical Structures and Applications, 3 ( 2 ), 24-27 (Doi   :  https://doi.org/10.54216/GJMSA.030203)
Chicago Abd Alrida Basheer. "On Some Properties of Fuzzy Spectrums of Implicative BCI Algebras." Journal of Galoitica: Journal of Mathematical Structures and Applications, 3 no. 2 (2023): 24-27 (Doi   :  https://doi.org/10.54216/GJMSA.030203)
Harvard Abd Alrida Basheer. (2023). On Some Properties of Fuzzy Spectrums of Implicative BCI Algebras. Journal of Galoitica: Journal of Mathematical Structures and Applications, 3 ( 2 ), 24-27 (Doi   :  https://doi.org/10.54216/GJMSA.030203)
Vancouver Abd Alrida Basheer. On Some Properties of Fuzzy Spectrums of Implicative BCI Algebras. Journal of Galoitica: Journal of Mathematical Structures and Applications, (2023); 3 ( 2 ): 24-27 (Doi   :  https://doi.org/10.54216/GJMSA.030203)
IEEE Abd Alrida Basheer, On Some Properties of Fuzzy Spectrums of Implicative BCI Algebras, Journal of Galoitica: Journal of Mathematical Structures and Applications, Vol. 3 , No. 2 , (2023) : 24-27 (Doi   :  https://doi.org/10.54216/GJMSA.030203)