In this paper, the concept of κ – Q – Anti fuzzy normed ring is introduced and some basic properties related to it are established. That our definition of normed rings on κ – Q – Anti fuzzy sets leads to a algebraic structure which we call a κ – Q – Anti Fuzzy Normed Rings. We also defined κ – Q – Anti Fuzzy Normed Rings homomorphism, κ – Q – Anti Fuzzy Normed Subring, κ – Q – Fuzzy Normed Ideal, κ – Q – Fuzzy Normed Prime Ideal and κ – Q – Anti Fuzzy Normed Maximal Ideal of a Normed ring respectively. We show that the some algebraic properties of normed ring theory on a κ – Q – Anti fuzzy sets, prove theorem and given relevant examples.
On Algebraic Properties of k-Q-Anti Fuzzy Normed Rings
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.
Book Details
| Author(s) | Premkumar Munusamy |
|---|---|
| Pages | 15 |
| Publisher | B P International |
| ISBN-13 (15) | 978-81-967669-0-0 (Print) |
| Language | English |
| Published | November 23, 2023 |
