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Linguistic Preference Relations

In: Linguistic Decision Making

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  • Zeshui Xu

    (PLA University of Science and Technology Nanjing, Institute of Sciences)

Abstract

Preference relations (or called pairwise comparison matrices, judgment matrices) are very useful in expressing decision maker’s preference information over objects by comparing each pair of them in decision making problems of various fields, including politics, social psychology, engineering, management, business and economics, etc. During the past years, the use of preference relations is receiving increasing attention, and a number of studies have focused on this issue. In some situations, such as personnel appraisal, performance evaluation of weapon equipments, the partner selection of supply chain management, etc., a decision maker usually provides his/her preference information by using linguistic labels and constructs linguistic preference relations (Chen and Fan, 2005; Delgado et al., 1998; Fan and Xiao, 2002; Herrera and Herrera-Viedma, 2003; 2000; 1997; Herrera et al., 2005; 1997; 1996a; 1996b; Xu, 2008; 2007b; 2006a; 2006b; 2006c; 2005b; 2004a; 2004b; Xu and Wu, 2004). In this chapter, we shall introduce the concept of linguistic preference relation, uncertain linguistic preference relation, incomplete linguistic preference relation, consistent linguistic preference relation, and acceptable linguistic preference relation, etc., and their desirable properties. We also introduce in detail a series of approaches for decision making based on these linguistic preference relations.

Suggested Citation

  • Zeshui Xu, 2012. "Linguistic Preference Relations," Springer Books, in: Linguistic Decision Making, chapter 0, pages 87-175, Springer.
    • Handle: RePEc:spr:sprchp:978-3-642-29440-2_3
    DOI: 10.1007/978-3-642-29440-2_3
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