An approach for linguistic multi-attribute decision making based on linguistic many-valued logic

(1) * Anh Phuong Le Mail (Department of Computer Science, Hue University of Education, Hue University, Viet Nam)
(2) Hoai Nhan Tran Mail (Department of Computer Science, Hue University of Education, Hue University, Viet Nam)
(3) Thi Uyen Thi Nguyen Mail (Department of Computer Science, Hue University of Education, Hue University, Viet Nam)
(4) Dinh Khang Tran Mail (SoICT, Hanoi University of Science and Technology, Viet Nam)
*corresponding author


There are various types of multi-attribute decision-making (MADM) problems in our daily lives and decision-making problems under uncertain environments with vague and imprecise information involved. Therefore, linguistic multi-attribute decision-making problems are an important type studied extensively. Besides, it is easier for decision-makers to use linguistic terms to evaluate/choose among alternatives in real life. Based on the theoretical foundation of the Hedge algebra and linguistic many-valued logic, this study aims to address multi-attribute decision-making problems by linguistic valued qualitative aggregation and reasoning method. In this paper, we construct a finite monotonous Hedge algebra for modeling the linguistic information related to MADM problems and use linguistic many-valued logic for deducing the outcome of decision making. Our method computes directly on linguistic terms without numerical approximation. This method takes advantage of linguistic information processing and shows the benefit of Hedge algebra.


Linguistic MADM; Multi-attribute decision-making; Hedge algebra; Linguistic many-valued logic; Linguistic reasoning



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