On Algebraic Properties of k-Q-Anti Fuzzy Normed Rings

Authors

  • Premkumar Munusamy Department of Mathematics, Sathyabama Institute of Science and Technology (Deemed to be University), Chennai-600119, Tamil Nadu, India. https://orcid.org/0000-0002-8637-063X
  • J. Juliet Jeyapackiam Department of Mathematics, Jayaraj Annapackiam CSI College of Engineering Nazareth, Tuticorin-628617, India. https://orcid.org/0000-0003-4656-3370
  • Abdul Salam Gulf Asian English School, Sharjah, United Arab Emirates.
  • H. Girija Bai Department of Mathematics, Sathyabama Institute of Science and Technology (Deemed to be University), Chennai-600119, Tamil Nadu, India.
  • Y. Immanuel Department of Mathematics, Sathyabama Institute of Science and Technology (Deemed to be University), Chennai-600119, Tamil Nadu, India. https://orcid.org/0000-0003-0719-375X
  • A. Prasanna PG and Research Department of Mathematics, Jamal Mohamed College (Autonomous), (Affiliated to Bharathidasan University), Tiruchirappalli-620020, Tamil Nadu, India. https://orcid.org/0000-0002-1827-7687

DOI:

https://doi.org/10.9734/bpi/mono/978-81-967669-0-0

Keywords:

Fuzzy sets, normed space, \(\mathit{k}\) - \(\mathit{Q}\) - \(\mathit{Anti}\) fuzzy set, \(\mathit{k}\) - \(\mathit{Q}\) - \(\mathit{Anti}\) fuzzy normed ring and \(\mathit{k}\) - \(\mathit{Q}\) - \(\mathit{Anti}\) fuzzy normed ideal

Abstract

In this paper, the concept of \(\mathit{k}\) - \(\mathit{Q}\) - Anti fuzzy normed ring is introduced and some basic properties related to it are established. That our definition of normed rings on \(\mathit{k}\) - \(\mathit{Q}\) - Anti fuzzy sets leads to a algebraic structure which we call a \(\mathit{k}\) - \(\mathit{Q}\) - Anti Fuzzy Normed Rings. We also defined \(\mathit{k}\) - \(\mathit{Q}\) - Anti Fuzzy Normed Rings homomorphism,  Anti Fuzzy Normed Subring,  Fuzzy Normed Ideal, \(\mathit{k}\) - \(\mathit{Q}\) - Fuzzy Normed Prime Ideal and \(\mathit{k}\) - \(\mathit{Q}\) - Anti Fuzzy Normed Maximal Ideal of a Normed ring respectively. We show that the some algebraic properties of normed ring theory on a \(\mathit{k}\) - \(\mathit{Q}\) - fuzzy sets, prove theorem and given relevant examples.

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Published

2023-11-23

How to Cite

Premkumar Munusamy, J. Juliet Jeyapackiam, Abdul Salam, H. Girija Bai, Y. Immanuel, & A. Prasanna. (2023). On Algebraic Properties of k-Q-Anti Fuzzy Normed Rings. On Algebraic Properties of K-Q-Anti Fuzzy Normed Rings, 1–15. https://doi.org/10.9734/bpi/mono/978-81-967669-0-0

Issue

On Algebraic Properties of k-Q-Anti Fuzzy Normed Rings

Section

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