Filter theory on good hyper EQ-algebras

Abstract

 A special hyper algebra has been recently introduced by R. A. Borzooei and B. Ganji Saffar. Its original motivation comes from EQ-algebra ( These algebras are intended to become algebras of truth vales for a higher-order fuzzy logic, FTT).

In this paper, we continue the study of hyper EQ-algebra in special case named good hyper EQ-algebra. We introduce diferent kinds of (pre)lters and investigate some results about them and relation between them in good hyper EQ-algebra. Then we gain conditions which lead to have a quotient hyper EQ-algebra.