Fuzzy 􀀀 -hypernear-rings

The concept of 􀀀 -hypernear-rings, which is a generalization of 􀀀 -near-rings and hypernear-rings, is introduced. Some related properties of 􀀀 -hypernear-rings are de- scribed. In particular, three Isomorphism Theorems of 􀀀 -hypernear-rings are established. By using this new idea, we consider the fuzzy hyperideals of 􀀀 -hypernear-rings. Finally, the fundamental relations between 􀀀 -hypernear-rings and 􀀀 -near-rings are discussed.