Second order symmetric duality in multiobjective programming

被引：45

作者：

Suneja, SK

Lalitha, CS

Khurana, S

机构：

[1] Univ Delhi, Dept Math, Daulat Ram Coll, Delhi 110007, India

[2] Univ Delhi, Rajdhani Coll, Dept Math, New Delhi 110015, India

来源：

EUROPEAN JOURNAL OF OPERATIONAL RESEARCH | 2003年 / 144卷 / 03期

关键词：

mathematical programming; multiobjective symmetric duality; eta q-bonvexity; efficient solutions; properly efficient solutions;

D O I：

10.1016/S0377-2217(02)00154-6

中图分类号：

C93 [管理学];

学科分类号：

12 ; 1201 ; 1202 ; 120202 ;

摘要：

A pair of Mond-Weir type multiobjective second order symmetric dual programs are formulated without non-negativity constraints. Weak duality, strong duality and converse duality theorems are established under eta-bonvexity and eta-pseudobonvexity assumptions. A second order self-duality theorem is given by assuming the functions involved to be skew-symmetric. (C) 2002 Elsevier Science B.V. All rights reserved.

引用

页码：492 / 500

页数：9

共 50 条

[1] Second order symmetric duality in nondifferentiable multiobjective programming
Ahmad, I
[J]. INFORMATION SCIENCES, 2005, 173 (1-3) : 23 - 34
[2] Nondifferentiable second order symmetric duality in multiobjective programming
Ahmad, I
Husain, Z
[J]. APPLIED MATHEMATICS LETTERS, 2005, 18 (07) : 721 - 728
[3] Second-order symmetric duality in multiobjective programming
Yang, XM
Hou, SH
[J]. APPLIED MATHEMATICS LETTERS, 2001, 14 (05) : 587 - 592
[4] ON SECOND ORDER SYMMETRIC DUALITY IN NONDIFFERENTIABLE MULTIOBJECTIVE PROGRAMMING
Yang, Xinmin
[J]. JOURNAL OF INDUSTRIAL AND MANAGEMENT OPTIMIZATION, 2009, 5 (04) : 697 - 703
[5] Second-order symmetric and self duality in multiobjective programming
Kim, DS
Yun, YB
Kuk, H
[J]. APPLIED MATHEMATICS LETTERS, 1997, 10 (02) : 17 - 22
[6] Second order symmetric duality in multiobjective programming involving cones
Ahmad, Izhar
Husain, Zakir
[J]. OPTIMIZATION LETTERS, 2013, 7 (06) : 1353 - 1365
[7] Generalized second order symmetric duality in nondifferentiable multiobjective programming
Kim, Do Sang
Lee, Hyo Jung
Lee, Yu Jung
[J]. TAIWANESE JOURNAL OF MATHEMATICS, 2007, 11 (03): : 745 - 764
[8] Second order symmetric duality in multiobjective programming involving cones
Izhar Ahmad
Zakir Husain
[J]. Optimization Letters, 2013, 7 : 1353 - 1365
[9] Mixed Type Second Order Symmetric Duality in Multiobjective Programming
Husain, I.
Ahmed, A.
Masoodi, Mashoob
[J]. JOURNAL OF INFORMATICS AND MATHEMATICAL SCIENCES, 2009, 1 (2-3): : 165 - 182
[10] SECOND-ORDER SYMMETRIC DUALITY IN MULTIOBJECTIVE PROGRAMMING OVER CONES
Gulati, Tilak Raj
Mehndiratta, Geeta
[J]. JOURNAL OF THE KOREAN MATHEMATICAL SOCIETY, 2016, 53 (01) : 19 - 25

← 1 2 3 4 5 →