摘要
The problem of upgrade has been emphsised with the development of fuzzy mathematics. The problem of upgrade on algebraic structure was considered in paper[1], and the concept of the hypergroup was raised, And then, the works were carried out in the paper [2]—[6]. This paper gives some further description for hypergroup. The main work is concluded as follows: (1) Solving the structure of hypergroup on the cyclical group. (2)Relationship amang the associative hypergroups for group, normal subgroup and factor group is considered. (3)Relationship between hypergroup and ordinary group is descriped. (4)The problem of existence on maximal, maximun, minimun element for the hypergroup which satisfys certain restricted condition is considered.
