Intuitionistic fuzzy relations compatible with the group Zn | ||||
| Journal of the Egyptian Mathematical Society | ||||
| Volume 27, Issue 1, 2019, Page 1-14 PDF (460.42 K) | ||||
| DOI: 10.1186/s42787-019-0053-6 | ||||
 View on SCiNiTO | ||||
| Author | ||||
| E. G. Emam | ||||
| Department of Mathematics, Faculty of Science, Zagazig University, Zagazig, Egypt | ||||
| 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 | ||||
| Intuitionistic fuzzy relations; Fuzzy relations; Compatible fuzzy relations | ||||
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