Group recommendation aims to recommend items a group of users. In this work, we study in particular scenario, namely occasional recommendation, where groups are formed ad hoc and users may just constitute for the first time—that is, historical group-item interaction records highly limited. Most state-of-the-art works have addressed challenge by aggregating members’ personal preferences learn re...

the concept of  -semihypergroups is a generalization of semigroups, a generalization of semihypergroups and a generalization of  -semigroups. in this paper, we study the concept of semiprime ideals in a  -semihypergroup and prove some results. also, we introduce the notion of  -hypergroups and closed  -subhypergroups. finally, we study the concept of  -semihypergroups associated to binary...

State machines are a type of mathematical modeling tool that is commonly used to investigate how system interacts with its surroundings. The thought be made up discrete states change in response external inputs. state whose environment two-element magma investigated this study, focusing on the case when group or hypergroup. It shown any can only have three states. In particular, quasi-automata ...

We study criteria which ensure that Gibbs states (often also called generalized vacuum states) on distance-regular graphs are positive. Our main criterion assumes the graph can be embedded into a growing family of graphs. For proof positivity we then use polynomial hypergroup theory and translate this problem whether for [Formula: see text] function has positive integral representation w.r.t. o...