Investigating Length and Mean-Fuzzy Subalgebras in Sheffer Stroke Hilbert Algebras

Authors

  • Neelamegarajan Rajesh Department of Mathematics, Rajah Serfoji Government College, Thanjavur 613005, Tamil Nadu, India
  • Tahsin Oner Department of Mathematics, Faculty of Science, Ege University, 35100 Izmir, Turkey
  • Aiyared Iampan Department of Mathematics, School of Science, University of Phayao, Phayao 56000, Thailand https://orcid.org/0000-0002-0475-3320
  • Akbar Rezaei Department of Mathematics, Faculty of Basic Science, Payame Noor University, P.O. Box 19395-4697, Tehran, Iran

DOI:

https://doi.org/10.29020/nybg.ejpam.v18i2.5914

Keywords:

Sheffer stroke Hilbert algebra, subalgebra, length-fuzzy subalgebra, mean-fuzzy subalgebra

Abstract

The aim of this paper is to introduce the notions of the length and the mean of an interval-valued fuzzy structure in Sheffer stroke Hilbert algebras. The notions of length-fuzzy subalgebras and mean-fuzzy subalgebras of Sheffer stroke Hilbert algebras are introduced, and related properties are investigated. Characterizations of length-fuzzy subalgebras and mean-fuzzy subalgebras are discussed. Relations between length-fuzzy subalgebras (resp., mean-fuzzy subalgebras) and subalgebras are established. Moreover, we discuss the relationships among length-fuzzy subalgebras (resp., mean-fuzzy subalgebras) and upper and lower-level subsets of the length (resp., mean) of an interval-valued fuzzy structure in Sheffer stroke Hilbert algebras.

Downloads

Published

2025-05-01

Issue

Vol. 18 No. 2: (April 2025)

Section

Algebra

License

Copyright (c) 2025 Neelamegarajan Rajesh, Tahsin Oner, Aiyared Iampan, Akbar Rezaei

Creative Commons License

This work is licensed under a Creative Commons Attribution-NonCommercial 4.0 International License.

Upon acceptance of an article by the European Journal of Pure and Applied Mathematics, the author(s) retain the copyright to the article. However, by submitting your work, you agree that the article will be published under the Creative Commons Attribution-NonCommercial 4.0 International License (CC BY-NC 4.0). This license allows others to copy, distribute, and adapt your work, provided proper attribution is given to the original author(s) and source. However, the work cannot be used for commercial purposes.

By agreeing to this statement, you acknowledge that:

  • You retain full copyright over your work.
  • The European Journal of Pure and Applied Mathematics will publish your work under the Creative Commons Attribution-NonCommercial 4.0 International License (CC BY-NC 4.0).
  • This license allows others to use and share your work for non-commercial purposes, provided they give appropriate credit to the original author(s) and source.

How to Cite

Investigating Length and Mean-Fuzzy Subalgebras in Sheffer Stroke Hilbert Algebras. (2025). European Journal of Pure and Applied Mathematics, 18(2), 5914. https://doi.org/10.29020/nybg.ejpam.v18i2.5914