Fuzzy positive implicative hyper K-ideals of type 5, 6, 7 and 8

The authors define the notions of fuzzy positive implicative hyper K-ideals of types 5, 6, 7 and 8. Then, by presenting many examples, we show that these notions are different. After that, we state and prove some theorems which determine the relation between these notions and notions of fuzzy positive implicative hyper K-ideals of types 1, 2, 3 and 4. Finally, by defining the concept of positive implicative hyper K-algebra and quasi alternate hyper K-algebra of type 1, we obtain other results.