The Multinational Companies started with the rise of colonialism in the world. As a major drive of colonialism, the early multinational corporations built "factories" in the port cities of colonized countries. Now, Multinational Companies (MNCs) are investing in different sectors of the economy. However, asset allocation decisions still require proper investigation of industries and countries where the MNCs must invest. Moreover, decision-making becomes more difficult due to incomplete data, uncertainty, psychological and cultural issues in different countries, and hesitancy of the decision-makers (DMs). To overcome these issues, sophisticated decision-making techniques must be employed, so we propose the TODIM approach under the environment of q-rung orthopair double hierarchy linguistic term set (q-RODHLTS), which is the hybrid of q-rung orthopair fuzzy set and double hierarchy linguistic term set. Further, we define basic operations like addition, multiplication, scalar multiplication, exponential, and the comparison functions and distance of q-RODHLT sets. Finally, some applications related to the different sectors for investment by a multinational company (MNC), such as Tourism, energy, and education, are presented using the proposed approaches with comparative analysis. We conclude that energy is the best sector for investment by the MNCs. 1991 Mathematics Subject Classification. 03E72, 03B52, 90C70, 47S40, 15B15.