WEAK AND STRONG DUALITY THEOREMS FOR FUZZY CONIC OPTIMIZATION PROBLEMS

被引:0
|
作者
Farhadinia, B. [1 ]
Kamyad, A. V. [1 ]
机构
[1] Ferdowsi Univ Mashhad, Dept Math, Mashhad, Iran
来源
IRANIAN JOURNAL OF FUZZY SYSTEMS | 2013年 / 10卷 / 01期
关键词
Fuzzy conic optimization problem; Fuzzy number; Weak and strong duality theorems; PROGRAMMING PROBLEMS; MAPPINGS; OPERATIONS; PREINVEX;
D O I
暂无
中图分类号
O29 [应用数学];
学科分类号
070104 ;
摘要
The objective of this paper is to deal with the fuzzy conic programming problems. The aim here is to derive weak and strong duality theorems for a general fuzzy conic programming. Toward this end, The convexity-like concept of fuzzy mappings is introduced and then a specific ordering cone is established based on the parameterized representation of fuzzy numbers. Under this setting, duality theorems are extended from crisp conic optimization problems to fuzzy ones.
引用
收藏
页码:143 / 152
页数:10
相关论文
共 50 条
  • [21] On duality gap in linear conic problems
    Zalinescu, C.
    OPTIMIZATION LETTERS, 2012, 6 (03) : 393 - 402
  • [22] Universal duality in conic convex optimization
    Simon P. Schurr
    André L. Tits
    Dianne P. O'Leary
    Mathematical Programming, 2007, 109 : 69 - 88
  • [23] Universal duality in conic convex optimization
    Schurr, Simon P.
    Tits, Andre L.
    O'Leary, Dianne P.
    MATHEMATICAL PROGRAMMING, 2007, 109 (01) : 69 - 88
  • [24] Strong Fenchel Duality For Evenly Convex Optimization Problems
    Majeed, Saba Naser
    JOURNAL OF APPLIED SCIENCE AND ENGINEERING, 2023, 26 (12): : 1723 - 1729
  • [25] On strong and total Lagrange duality for convex optimization problems
    Bot, Radu Ioan
    Grad, Sorin-Mihai
    Wanka, Gert
    JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 2008, 337 (02) : 1315 - 1325
  • [26] Duality theorems in fuzzy mathematical programming problems based on the concept of necessity
    Wu, HC
    FUZZY SETS AND SYSTEMS, 2003, 139 (02) : 363 - 377
  • [27] STRONG DUALITY AND WEAK INTERACTIONS
    DICUS, DA
    TEPLITZ, VL
    YOUNG, JE
    PHYSICS LETTERS B, 1974, B 53 (02) : 177 - 180
  • [28] Weak and Strong Solutions for Fuzzy Linear Programming Problems
    Carlos Figueroa-Garcia, Juan
    Hernandez-Perez, German
    FUZZY LOGIC IN INTELLIGENT SYSTEM DESIGN: THEORY AND APPLICATIONS, 2018, 648 : 382 - 391
  • [29] Fuzzy conditional temporal problems: Strong and weak consistency
    Falda, Marco
    Rossi, Francesca
    Venable, K. Brent
    ENGINEERING APPLICATIONS OF ARTIFICIAL INTELLIGENCE, 2008, 21 (05) : 710 - 722
  • [30] DUALITY THEOREMS FOR MARGINAL PROBLEMS
    KELLERER, HG
    ZEITSCHRIFT FUR WAHRSCHEINLICHKEITSTHEORIE UND VERWANDTE GEBIETE, 1984, 67 (04): : 399 - 432