Saddle Point Optimality Conditions in Fuzzy Optimization Problems

  • Zeng-tai Gong
  • Hong-xia Li
Part of the Advances in Soft Computing book series (AINSC, volume 54)


The fuzzy-valued Lagrangian function of constrained fuzzy programming as well as its duality are proposed via a new concept of fuzzy ordering, and the duality theorems are given. At the same time, the sufficient condition for the optimal solution of the fuzzy optimization problem is obtained by virtue of the saddle point of fuzzyvalued Lagrangian function, and the necessary condition for the optimal solution of the convex fuzzy optimization problem is also presented.


Convex fuzzy mapping fuzzy Lagrangian function duality saddle point 


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Copyright information

© Springer-Verlag Berlin Heidelberg 2009

Authors and Affiliations

  • Zeng-tai Gong
    • 1
  • Hong-xia Li
    • 1
  1. 1.College of Mathematics and Information ScienceNorthwest Normal UniversityLanzhouP.R. China

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