When it comes to referring to an international society, there are a number of synonyms that can be used. For example, you might use terms like "global community", "world society", or "international network". Other options could include references to "cross-border relationships" or "transnational associations". These different phrases all refer to the idea of a group of individuals or organizations that are united across international boundaries, often working towards a common goal or sharing a common interest. Depending on the context and specific meaning you want to convey, different synonyms may be more appropriate than others.