Saddle Point Optimality Conditions in Fuzzy Optimization Problems

被引：0

作者：

Gong, Zeng-tai ^{[1
]}

Li, Hong-xia ^{[1
]}

机构：

[1] NW Normal Univ, Coll Math & Informat Sci, Lanzhou 730070, Gansu, Peoples R China

来源：

FUZZY INFORMATION AND ENGINEERING, VOL 1 | 2009年 / 54卷

关键词：

Convex fuzzy mapping; fuzzy Lagrangian function; duality; saddle point; DUALITY;

D O I：

暂无

中图分类号：

TP18 [人工智能理论];

学科分类号：

081104 ; 0812 ; 0835 ; 1405 ;

摘要：

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 fuzzy-valued Lagrangian function, and the necessary condition for the optimal solution of the convex fuzzy optimization problem is also presented.

引用

页码：7 / 14

页数：8

共 50 条

[1] Saddle Point Optimality Conditions in Fuzzy Optimization Problems
Nehi, Hassan Mishmast
Daryab, Ali
[J]. INTERNATIONAL JOURNAL OF FUZZY SYSTEMS, 2012, 14 (01) : 11 - 21
[2] Saddle Point Optimality Conditions in Fuzzy Optimization Problems
Hsien-Chung Wu
[J]. Fuzzy Optimization and Decision Making, 2003, 2 (3) : 261 - 273
[3] Duality theorems and saddle point optimality conditions in fuzzy nonlinear programming problems based on different solution concepts
Wu, Hsien-Chung
[J]. FUZZY SETS AND SYSTEMS, 2007, 158 (14) : 1588 - 1607
[4] Fuzzy necessary optimality conditions for vector optimization problems
Durea, Marius
Tammer, Christiane
[J]. OPTIMIZATION, 2009, 58 (04) : 449 - 467
[5] Higher order efficiency, saddle point optimality, and duality for vector optimization problems
Gupta, Anjana
Bhatia, Davinder
Mehra, Aparna
[J]. NUMERICAL FUNCTIONAL ANALYSIS AND OPTIMIZATION, 2007, 28 (3-4) : 339 - 352
[6] ε-OPTIMALITY CONDITIONS AND E-SADDLE POINT THEOREMS FOR ROBUST CONICAL PROGRAMMING PROBLEMS
Ye, Dongping
Hu, Lingli
Fang, Donghui
[J]. JOURNAL OF NONLINEAR AND CONVEX ANALYSIS, 2020, 21 (04) : 835 - 850
[7] The Karush–Kuhn–Tucker optimality conditions for fuzzy optimization problems
Y. Chalco-Cano
W. A. Lodwick
R. Osuna-Gómez
A. Rufián-Lizana
[J]. Fuzzy Optimization and Decision Making, 2016, 15 : 57 - 73
[8] Multigrid methods for saddle point problems: Optimality systems
Brenner, Susanne C.
Liu, Sijing
Sung, Li-yeng
[J]. JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS, 2020, 372
[9] Optimality and mixed saddle point criteria in multiobjective optimization
Bhatia, Guneet
[J]. JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 2008, 342 (01) : 135 - 145
[10] Optimality conditions for invex nonsmooth optimization problems with fuzzy objective functions
Antczak, Tadeusz
[J]. FUZZY OPTIMIZATION AND DECISION MAKING, 2023, 22 (01) : 1 - 21

← 1 2 3 4 5 →