I have been engaged in the research of business formats in the Asia-Pacific region for 12 years
Let me tell you the most accurate answer
1. super market (where you choose or the format is like a market, you can open the counter for sale) is generally called: supermarket or market
2. Small store (with fewer than 11 salespeople, Including open-counter sales like 7-11) is generally called shop
3, warehouse shopping mall is generally called store
4, rental department store (which divides the shopping mall into areas and rents them to brand holders for their own operation and has perfect leisure facilities such as catering and entertainment) is generally called mall or centre. For example, the Jurong centre in Singapore and the City Mall in Singapore
5. Superlarge boutique squares are generally called square, such as Times Square in Hong Kong
6. emporium only refers to department stores and cannot be used in the name of a certain shopping mall.