Volume 3 • Issue 2 • PP: 24-27 • 2023
On Some Properties of Fuzzy Spectrums of Implicative BCI Algebras
Open Access & Copyright
© 2023 The Author(s). Published by ASPG. This article is licensed under the Creative Commons Attribution 4.0 International License (CC BY 4.0).
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
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
Choose your preferred format
Publisher's Note
The statements, opinions, and data presented in this article are solely those of the author(s) and do not necessarily represent those of ASPG, the journal, or its editors. ASPG and the editors disclaim responsibility for any harm arising from the use of any ideas, methods, instructions, or products described in this article, to the fullest extent permitted by applicable law.