An Approach to Evaluate Alternatives in Multi-Attribute Decision Making Problems based on Linguistic Many-Valued Logic

Humans are often faced with decisions, that is, have to choose between different alternatives every day. Many of these decision problems are under uncertain environments with vague and imprecise information. Thus, linguistic decision making problem is important research topic. Besides, decision making is widely applied in fields such as society, economy, medicine, management, and military affairs, etc. In the framework of the linguistic many-valued logic, both comparable and incomparable truth-values can be expressed. This paper further studies the applicability of linguistic many-valued logic for dealing with the decision making problem and proposes a linguistic many-valued reasoning approach for the decision making model. This approach can also address the reasoning of decision making directly on linguistic truth values.