Preference Relations of Trapezoidal Fuzzy Numbers

  • Zaiwu Gong
  • Yi Lin
  • Tianxiang Yao
Part of the Studies in Fuzziness and Soft Computing book series (STUDFUZZ, volume 281)


As described in Chapter 5, qualitative information, such as that conveyed in outstanding, good and poor, is often used to assess qualitative variables, human moral, the performance of certain equipment, etc. In any fuzzy decision making, the available qualitative information is generally characterized by trapezoidal fuzzy numbers, triangular fuzzy numbers, and even natural linguistic terms (Fan, and Jiang, 2003, 2004; Xu, 2004e,2005b, 2005c;; Chen and Fan, 2004; Hou and Wu, 2005a, 2005b; Jiang and Fan, 2003; Chen and Fan, 2004; Herrera, 2001; Herrera, Herrera, and Martinez, 2000; Herrera and Martinez, 2000; 2001a; 2001b; Delgado, Herrera, and Herrera, 2002; Herrera, Martinez, and Sanchez, 2005; Wang and Fan, 2003; You, Fan, and Li, 2005;Gong, 2007; Gong and Liu, 2007c, Hou and Wu,2005b).


Decision Maker Fuzzy Number Preference Relation Transformation Function Linguistic Term 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.


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Copyright information

© Springer-Verlag GmbH Berlin Heidelberg 2013

Authors and Affiliations

  1. 1.Science and Technology, College of Economics and ManagementNanjing University of InformationNanjingChina, People’s Republic
  2. 2.Dept. MathematicsSlippery Rock University of PennsylvaniaSlippery RockUSA

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