Intuitionistic fuzzy relations compatible with the group Zn

Author

Department of Mathematics, Faculty of Science, Zagazig University, Zagazig, Egypt

https://doi.org/10.1186/s42787-019-0053-6

Abstract

In this paper, we define the compatibility of finite intuitionistic fuzzy relations with
the group Zn and prove some of their fundamental properties. We show that some
compositions of Zn-compatible intuitionistic fuzzy relations are also Zn-compatible
intuitionistic fuzzy relation. Also, from any given finite intuitionistic fuzzy relation ρ,
we can construct two intuitionistic fuzzy relations denoted by ρL and ρU which are
compatible with Zn. We have also provided some examples to clarify the notions
and results.

Keywords