In this paper, first we introduce the notions of an $(m,n)$-hyperideal and a generalized $(m,n)$-hyperideal in an ordered semihypergroup, and then, some properties of these hyperideals are studied. Thereafter, we characterize $(m,n)$-regularity, $(m,0)$-regularity, and $(0,n)$-regularity of an ordered semihypergroup in terms of its $(m,n)$-hyperideals, $(m,0)$-hyperideals and $(0,n)$-hyperideal...

When we assume that the input–set of an automaton without output is a semihypergroup instead of a monoid, we talk about quasi–multiautomata. Even though cartesian composition of quasi–automata is a commonly used concept, the cartesian composition of quasi–multiautomata has not been successfully constructed yet. In our paper we show that the straightforward transfer of the definition into the mu...

The aim of this study is to introduce the concept of intuitionistic fuzzy (left, right) hyperideal in intuitionistic fuzzy semihypergroup based on the concept of intuitionistic fuzzy space as a direct generalization of the concept of fuzzy ideals in fuzzy semigroups, through the new approach of fuzzy space introduced by Dib and fuzzy hypergroup introduced by Fathi. A relationship between the in...

We study a stochastic differential equation driven by gamma process, for which we give results on the existence of weak solutions under conditions volatility function. To that end provide density process between laws with different functions.

in this paper we introduce the notions of fuzzy transposition hypergroupsand fuzzy regular relations and investigate their basic properties.we also study fuzzy quotient hypergroups of a fuzzy transposition hypergroup.