ON FUZZY $H$-IDEALS IN $Z$-ALGEBRAS
Keywords:
$Z$-algebra, $H$-ideal, $Z$-homomorphism, fuzzy $H$-ideals, Cartesian product of $Z$-algebras.DOI:
https://doi.org/10.17654/0973421X22011Abstract
Having introduced fuzzy $H$-ideals in $Z$-algebras and explore some of their properties, we considered $Z$-homomorphic image and pre-image of a fuzzy $H$-ideal in a $Z$-algebra. We have also proved that the Cartesian product of fuzzy $H$-ideals in $Z$-algebras is a fuzzy $H$-ideal.
Received: July 26, 2022
Accepted: October 13, 2022
References
P. Bhattacharya and N. P. Mukherjee, Fuzzy relations and fuzzy groups, Inform. Sci. 36(3) (1985), 267-282.
M. Chandramouleeswaran, P. Muralikrishna, K. Sujatha and S. Sabarinathan, A note on Z-algebra, Ital. J. Pure Appl. Math. No. 38 (2017), 707-714.
Y. Imai and K. Iseki, On axiom systems of propositional calculi XIV, Proceedings of the Japan Academy 42(1) (1966), 19-22.
K. Iseki, An algebra related with a propositional calculus, Proceedings of the Japan Academy 42(1) (1966), 26-29.
H. M. Khalid and B. Ahmad, Fuzzy H-ideals in BCI-algebras, Fuzzy Sets and Systems 101 (1999), 153-158.
S. Sowmiya and P. Jeyalakshmi, Fuzzy algebraic structure in Z-algebras, World Journal of Engineering Research and Technology 5(4) (2019), 74-88.
S. Sowmiya and P. Jeyalakshmi, On fuzzy Z-ideals in Z-algebras, Glob. J. Pure Appl. Math. 15(4) (2019), 505-516.
S. Sowmiya and P. Jeyalakshmi, Fuzzy α-translations and fuzzy β-multiplications of Z-algebras, Advances in Mathematics: Scientific Journal 9(3) (2020), 1287-1292.
S. Sowmiya and P. Jeyalakshmi, Z-homomorphism and Cartesian product on fuzzy α-translations and fuzzy β-multiplications of Z-algebras, AIP Conference Proceedings 2261 (2020), 030098-1-030098-5.
O. G. Xi, Fuzzy BCK-algebras, Math. Japon. 36(5) (1991), 935-942.
L. A. Zadeh, Fuzzy sets, Information and Control 8 (1965), 338-353.
Downloads
Published
Issue
Section
License
Copyright (c) 2022 Pushpa Publishing House, Prayagraj, India
This work is licensed under a Creative Commons Attribution-ShareAlike 4.0 International License.
_________________________
Attribution: Credit Pushpa Publishing House as the original publisher, including title and author(s) if applicable.
Non-Commercial Use: For non-commercial purposes only. No commercial activities without explicit permission.
No Derivatives: Modifying or creating derivative works not allowed without written permission.
Contact Pusha Publishing House for more info or permissions.
Publication count: 
Citation count: 
Google h-index: 
Downloads: 