Saddle point optimality conditions in fuzzy optimization problems
pp. 7-14
Abstrakt
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.
Publication details
Published in:
Cao Bing-yuan, Zhang Cheng-yi, Li Tai-fu (2009) Fuzzy information and Engineering I. Dordrecht, Springer.
Seiten: 7-14
DOI: 10.1007/978-3-540-88914-4_2
Referenz:
Gong Zeng-tai, Li Hong-xia (2009) „Saddle point optimality conditions in fuzzy optimization problems“, In: B. Cao, C. Zhang & T.-f. Li (eds.), Fuzzy information and Engineering I, Dordrecht, Springer, 7–14.