A NEW WAY TO FUZZY h-IDEALS OF HEMIRINGS

By means of a kind of new idea, we consider the (2; 2 _q)-fuzzy h-ideals of a hemiring. First, the concepts of (2; 2 _q)-fuzzy left(right) h- ideals of a hemiring are provided and some related properties are investigated. Then, a kind of quotient hemiring of a hemiring by an (2; 2_q)-fuzzy h-ideal is presented and studied. Moreover, the notions of generalized ʹ-compatible (2;2_q)-fuzzy left(right) h-ideals of a hemiring are introduced and some prop- erties of them are provided. Finally, the relationships among (2;2 _q)-fuzzy h-ideals, quotient hemirings and homomorphisms are explored and several ho- momorphism theorems are provided.