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基于满意度的不适定二层规划部分合作模型
引用本文:朱秀利,张俊容,巨兴兴.基于满意度的不适定二层规划部分合作模型[J].西南师范大学学报(自然科学版),2020,45(3):34-39.
作者姓名:朱秀利  张俊容  巨兴兴
作者单位:西南大学 数学与统计学院, 重庆 400715
基金项目:重庆市基础前沿研究项目(ctsc2016jcyjA0239);重庆市研究生创新项目(CYS18137).
摘    要:针对传统的求解不适定二层规划问题的部分合作优化模型提出一种新的满意度函数,并以下层满意度函数作为合作系数构造新的部分合作模型.数值算例表明在该满意度函数下,改变最小满意度水平得到的总体满意度较好,说明该满意度下的部分合作模型是可行的.

关 键 词:二层规划  满意度函数  合作系数  总体满意度
收稿时间:2019/1/18 0:00:00

A Partial Cooperative Model for Ill-Posed Bilevel Programming Problems Based on Satisfaction Degree
ZHU Xiu-li,ZHANG Jun-rong,JU Xing-xing.A Partial Cooperative Model for Ill-Posed Bilevel Programming Problems Based on Satisfaction Degree[J].Journal of Southwest China Normal University(Natural Science),2020,45(3):34-39.
Authors:ZHU Xiu-li  ZHANG Jun-rong  JU Xing-xing
Institution:School of Mathematics and Statistics, Southwest University, Chongqing 400715, China
Abstract:In this paper, a new satisfactory degree function has been proposed for the traditional partial cooperation optimization model in order to solve ill-posed bilevel programming problem. Further, a new partial cooperation model has been constructed with the lower satisfactory degree function as the cooperation ratio. By solving numerical example, it has been found that the overall satisfaction is good if the minimum satisfaction level is changed. This partial cooperation model under the satisfaction degree is feasible.
Keywords:bilevel programming  satisfactory degree function  cooperation ratio  overall satisfaction
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