## $$TL$$-subpolygroups of a polygroup.(English)Zbl 1004.20056

Summary: Applications of hypergroups have mainly appeared in special subclasses. We consider polygroups which are certain subclasses of hypergroups. We adopt the definition of triangular norm $$T$$ on a lattice $$L$$ and define the $$TL$$-subpolygroup of a polygroup, then we establish several characterizations of $$TL$$-subpolygroups.

### MSC:

 20N20 Hypergroups

### Keywords:

polygroups; hypergroups; triangular norms; $$TL$$-subpolygroups