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Author(s)
Premkumar Munusamy
Department of Mathematics, Sathyabama Institute of Science and Technology (Deemed to be University), Chennai-600119, Tamil Nadu, India.
J. Juliet Jeyapackiam
Department of Mathematics, Jayaraj Annapackiam CSI College of Engineering Nazareth, Tuticorin-628617, India.
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.
A. Prasanna
PG and Research Department of Mathematics, Jamal Mohamed College (Autonomous), (Affiliated to Bharathidasan University), Tiruchirappalli-620020, Tamil Nadu, India.
ISBN 978-81-967669-0-0 (Print)
ISBN 978-81-967669-1-7 (eBook)
DOI: 10.9734/bpi/mono/978-81-967669-0-0
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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