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《南京师大学报（自然科学版）》[ISSN:1001-4616/CN:32-1239/N]

Issue:

2010年03期

Page:

19-21

Research Field:

数学

Publishing date:

Info

Title:

Some Relations Among Absolutely Optimal Solutions,Effective Solutions and Weakly Effective Solutions for Multiobjective Programming Problem

Author(s):

Liu Yawei; Peng Zaiyun; Tan Yuanshun

Institute of Mathematics,College of Science,Chongqing Jiaotong University,Chongqing 400074,China

Keywords:

mu ltiobjective prog ramm ing;  abso lute ly optim al solution;  e ffective so lution;  w eak ly e ffectiv e so lution

PACS:

O221.6

DOI:

-

Abstract:

Som e Re la tions am ong abso lute ly optim a l so lutions, e ffective so lutions and w eak ly effective so lutions of m ul  tiobjective vec to r prog ramm ing prob lem ( VP) are respectiv ely obta ined under tw o types o f generalized convex cond ition. And then, the relationsh ip of solutions wh ich key to simp le ob jective vector programm ing prob lem ( P) and mu ltiobjec tive vector prog ramm ing prob lem ( VP) w as d iscussed.

References:

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[ 8] Long X J, Peng Za iyun, Zeng Bo. Rem ark on cone sem istr ictly pre inv ex functions[ J]. Optim Lett, 2009, 3( 3): 337-345.

Memo

Memo:

-

Common functions

Last Update: 2013-04-08