Abstract
The concept of quasi-coincidence of interval valued fuzzy point with an interval valued fuzzy subset has considered. By using this idea, the notion of interval valued (alpha, beta)-fuzzy hyperideal in a semihyperring introduced and consequently, a generalization of interval valued fuzzy hyperideals and interval valued fuzzy hyperideals have defined. In this paper, we study the related properties of the interval valued (alpha, beta)-fuzzy hyperideals and in particular, the interval valued (is an element of, is an element of Vq)-fuzzy hyperideals in semihyperrings will be investigated. Moreover, we also consider the concept of implication-based interval valued fuzzy hyperideals in a semihyperring.