A survey of preference relations

Abstract

Preference Relations are a popular and powerful tool used by decision makers to provide their preference information in the process of decision making. Over the last decades, various types of preference relations have been developed, but they are scattered through the literature. The purpose of this paper is to present a comprehensive survey of preference relations. We also briefly discuss their properties and introduce some new preference relations. Finally, we put forward the directions of future research.

Keywords:

• Decision making
• Fuzzy preference relation
• Multiplicative preference relation
• Linguistic preference relation
• Intuitionistic preference relation

Acknowledgements

The authors are very grateful to the three anonymous referees for their insightful and constructive comments and suggestions that have led to an improved version of this paper. The work was supported by the National Natural Science Foundation of China under Grant 70571087.