Some Contributions of Congruence Relations on Lattice of Fuzzy ℓ-ideals

Authors

P. Bharathi, Department of Mathematics, Alagappa University, Karaikudi, Tamilnadu, India.Follow
J. Vimala, Department of Mathematics, Alagappa University, Karaikudi, Tamilnadu, India.Follow
L. Vijayalakshmi, Department of Mathematics, Alagappa University, Karaikudi, Tamilnadu, India.Follow
Arockia Reeta, Department of Mathematics, Alagappa University, Karaikudi, Tamilnadu, India.Follow

Author Country (or Countries)

India.

Abstract

The main objective of this paper is to introduce the congruence relations on the set of all fuzzy ℓ - ideals of ℓ-group. Let F be the set of all fuzzy ℓ-ideals defined on the lattice ordered group G. We introduce the congruence relations on F and derived some intresting results on the relation between F and its congruence relations. Also we established some important results on congruence relations by using the operations on fuzzy ℓ-ideals.

Digital Object Identifier (DOI)

http://dx.doi.org/10.18576/amis/110220

Recommended Citation

Bharathi, P.; Vimala, J.; Vijayalakshmi, L.; and Reeta, Arockia (2017) "Some Contributions of Congruence Relations on Lattice of Fuzzy ℓ-ideals," Applied Mathematics & Information Sciences: Vol. 11: Iss. 2, Article 20.
DOI: http://dx.doi.org/10.18576/amis/110220
Available at: https://digitalcommons.aaru.edu.jo/amis/vol11/iss2/20