A NEW WAY TO FUZZY h-IDEALS OF HEMIRINGS

By means of a kind of new idea, we consider the $(\in,\ivq)$-fuzzy $h$-ideals of a hemiring. First, the concepts of $(\in,\ivq)$-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 $(\in,\ivq)$-fuzzy $h$-ideal is presented and studied. Moreover, the notions of generalized $\varphi$-compatible $(\in,\ivq)$-fuzzy left(right) $h$-ideals of a hemiring are introduced and some properties of them are provided. Finally, the relationships among $(\in,\ivq)$-fuzzy $h$-ideals, quotient hemirings and homomorphisms are explored and several homomorphism theorems are provided.