About the Double Hierarchy Linguistic Term Set and Its Extensions

Practical decision-making process mainly consists of three aspects: collecting assessment information, processing assessment information, and obtaining the final decision-making result. In this process, the first and most important step is to represent the original meaning of the assessment information of decision-makers (DMs). Considering that the natural languages are more in line with the real thought of DMs than the crisp values, so the research of how to represent qualitative information becomes increasingly popular and attracted many experts. Then, The fuzzy linguistic approach was proposed to deal with the natural language and the concept of computing with words was further defined. Motivated by the fuzzy linguistic approach, the double hierarchy linguistic term set (DHLTS) and its extensions were defined to represent the complex linguistic information, and lots of researches have been done about the DHLTS and its extensions. In this paper, we mainly review the existing research about the DHLTS and its extensions from different angles including decision-making methodologies, preference relations and information measures. Then, we make a short comment about them and discuss some research directions for the future.

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