Coupled Anti Fuzzy Subrings Using t-Conorms

  • Clement Boateng Ampadu 31 Carrolton Road, Boston, MA 02132-6303, USA
Keywords: ring theory, norms, fuzzy set theory

Abstract

The aim of this paper is to introduce the concept of coupled anti fuzzy subrings by using t-conorm C. By using t-conorm C; we consider the relationship between coupled subrings and coupled anti fuzzy subrings and we prove that the intersection of two coupled anti fuzzy subrings are also coupled anti fuzzy subring. Also we obtain some results for coupled anti fuzzy subrings under the ring homomorphisms. Finally, we show that the quotient of coupled anti fuzzy subring is also a coupled anti fuzzy subring with respect to t-conorm C. Our work is inspired by [1].

References

Rasul Rasuli, Some results of anti fuzzy subrings overt-conorms, MathLAB Journal 4 (2019), 25-32.

J. J. Buckley and E. Eslami, An Introduction to Fuzzy Logic and Fuzzy Sets, Springer-Verlag, Berlin, Heidelberg GmbH, 2002. https://doi.org/10.1007/978-3-7908-1799-7

M. T. Abu Osman, On some products of fuzzy subgroups, Fuzzy Sets and Systems 24 (1987), 79-86. https://doi.org/10.1016/0165-0114(87)90115-1

D. S. Malik and J. N. Mordeson, Fuzzy Commutative Algebra, World Science Publishing Co. Pte. Ltd., 1995.

D. S. Malik, J. N. Mordeson and M. K. Sen, Fundamentals of Abstract Algebra, McGraw Hill, New York, 1997.

Published
2021-02-16
How to Cite
Ampadu, C. B. (2021). Coupled Anti Fuzzy Subrings Using t-Conorms. Earthline Journal of Mathematical Sciences, 6(1), 153-161. https://doi.org/10.34198/ejms.6121.153161
Section
Articles

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