In this paper, the concept of k – Q -Anti fuzzy normed ring is introduced and some basic properties related to it are established. That our definition of normed rings on k - Q - Anti fuzzy sets leads to a algebraic structure which we call a k – Q - Anti Fuzzy Normed Rings. We also defined k - Q - Anti Fuzzy Normed Rings homomorphism, Anti Fuzzy Normed Subring, Fuzzy Normed Ideal, k – Q - Fuzzy Normed Prime Ideal and k - Q - Anti Fuzzy Normed Maximal Ideal of a Normed ring respectively. We show that the some algebraic properties of normed ring theory on a k - Q - fuzzy sets, prove theorem and given relevant examples.
Author(s) Details:
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.
Please see the link here: https://stm.bookpi.org/OAPFNR/article/view/12570
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