Complementary Preference Relations of Triangular Fuzzy Numbers

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


The concepts of triangular fuzzy numbers and interval fuzzy numbers are generalizations of that of crisp numbers. A triangular fuzzy number is made up of a triple of number, including the minimum membership degree, the medium membership degree, and the maximum membership degree. In any situation of subjective decision making, this triple can be respectively regarded as the lower (conservative), the medium and the upper (optimistic) estimation with regard to a judgment. The particular form of the triangular fuzzy number safely embodies the decision maker’s subjective thinking.


Fuzzy Number Preference Relation Membership Degree Triangular Fuzzy Number Decision Alternative 
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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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