On the solution of fuzzy parametric bicriterion programming problems

被引：0
|
作者：
M. S. A. Osman
A. M. A. Abdel-Fadel
K. F. El-Sersy
N. M. A. Ibraheem
机构：
[1] Vice Dean of Higher Technology Institute,Dept. of Mathematics, Faculty of Science
[2] Suez Canal University,undefined
[3] Suez Canal University,undefined
来源：
OPSEARCH | 2008年 / 45卷 / 2期
关键词：
Fuzzy numbers; Bicriterion programming problems; Kuhn-Tucker conditions; Parametric analysis;
D O I：
10.1007/BF03398809
中图分类号：
学科分类号：
摘要：
This paper deals with Bicriterion mathematical programming problems with fuzzy numbers in the two objectives and free parameters in the right hand side of the constraints. An algorithm is proposed to find an a-Pareto Optimal Solution and the corresponding Stability Set of First Kind. Some basic stability notions are defined and characterized for the problem of concern. Finally, an illustrative nonlinear numerical example is given to clarify the algorithm.
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页码：119 / 138
页数：19
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