Abstract
The multidimensional data model and implementations of social networks come with a set of specific constraints, such as missing data, reflexive relationship on fact instance. However, the conventional OLAP operators and existing models do not provide solutions for handling those specificities. Therefore, we should invest further efforts to extend these operators to take into consideration the specificities of multidimensional modeling of tweets as well as their manipulation. Face to this issue, we propose, in this paper, new OLAP operators that enhance existing solutions for OLAP analyses involving a reflexive relationship on the fact instances and dealing with missing values on dimension members. For each OLAP operator, we suggest a user-oriented definition as an algebraic formalization, along with an implementation algorithmic.