Semidetached SUP-Subalgebras of Sheffer Stroke UP-Algebras

Authors

  • Tahsin Oner Department of Mathematics, Faculty of Science, Ege University, 35100 6 Izmir, Turkey
  • Neelamegarajan Rajesh Department of Mathematics, Rajah Serfoji Government College, Thanjavur10 613005, Tamil Nadu, India
  • Aiyared Iampan Department of Mathematics, School of Science, University of Phayao, Phayao 56000, Thailand https://orcid.org/0000-0002-0475-3320
  • Ibrahim Senturk Department of Mathematics, Faculty of Science, Ege University, 35100 6 Izmir, Turkey

DOI:

https://doi.org/10.29020/nybg.ejpam.v18i2.5876

Keywords:

Sheffer stroke UP-algebra, $(\in,\overline{\in}\vee \overline{q_k})$-fuzzy SUP-subalgebra, $k$-left ($k$-right) $(q_k, \overline{\in}\vee \overline{q_k})$-fuzzy SUP-subalgebra, $(\overline{\in}\vee \overline{q_k}, \overline{\in}\vee \overline{q_k})$-fuzzy SUP-subalgebra, semidetached SUP-subalgebra

Abstract

The notion of semidetached Sheffer stroke UP-algebras is introduced, and their properties are investigated. Several conditions for a semidetached structure in Sheffer stroke UP-algebras to be a semidetached SUP-subalgebra are provided. The concepts of $(\overline{\in},\overline{\in}\vee \overline{q_k})$-fuzzy SUP-subalgebra, $k$-left ($k$-right) $(q_k, \overline{\in}\vee \overline{q_k})$-fuzzy SUP-subalgebra, $(q_k, \overline{\in}\vee \overline{q_k})$-fuzzy SUP-subalgebra and $(\overline{\in}\vee \overline{q_k}, \overline{\in}\vee \overline{q_k})$-fuzzy SUP-subalgebra are introduced, and relative relations and properties are discussed.

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Published

2025-05-01

Issue

Vol. 18 No. 2: (April 2025)

Section

Algebra

License

Copyright (c) 2025 Tahsin Oner, Neelamegarajan Rajesh, Aiyared Iampan, Ibrahim Senturk

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How to Cite

Semidetached SUP-Subalgebras of Sheffer Stroke UP-Algebras. (2025). European Journal of Pure and Applied Mathematics, 18(2), 5876. https://doi.org/10.29020/nybg.ejpam.v18i2.5876