运筹与管理2018，Vol.27Issue(3)：143-149,7.DOI:10.12005/orms.2018.0070
基于图模型理论有序偏好下的冲突反问题研究
Research on Inverse Problem Based on the Graph Model for Ordinal Preference
摘要
Abstract
In conflict negotiation,the vital condition is that you have acquired opponent's preference for maste-ring initiative in hands.In this paper,a method is proposed for obtaining the preference within the framework of graph model for conflict resolution(GMCR).Through in-depth analyses of the three stability definitions of Nash,GMR and SEQ in GMCR,some mathematical models are constructed to get the opponent's preference, which include least constraint conditions using inverse way of thinking in this research.In the premise of having known the outcome of a conflict,the method can make the decision maker gain his opponent's preference.The proposed approach is employed for the conflict, Chromium pollution in Luliang county, Qujing city, Yunnan province,in which there are two main decision makers:Environmental protection department of Yunnan province and Luliang chemical enterprise.First,the GMCR model of this conflict is established.Then,its preference and the final stability outcome are analyzed.Finally, using the mathematical models proposed above, the Environ-mental protection department of Yunnan province can obtain all of its opponent's preference ranking which make it in an invincible position in conflict negotiation.At the same time, the method's feasibility and validity are verified.The results from this research provide a valuable view for one side in the conflict negotiation.关键词
反问题/图模型/冲突分析/有序偏好Key words
inverse problem/graph model/conflict analysis/ordinal preference分类
管理科学引用本文复制引用
赵金帅,徐海燕..基于图模型理论有序偏好下的冲突反问题研究[J].运筹与管理,2018,27(3):143-149,7.基金项目
国家自然科学基金资助项目(71471087,71301064,61673209,71503103) （71471087,71301064,61673209,71503103）
国家社科重点基金项目(12AZD102) （12AZD102）
教育部人文社科基金(12YJC630262) （12YJC630262）
江苏省自然科学基金项目(BK20150157) （BK20150157）
江苏省社科基金项目(14GLC008) （14GLC008）
江苏省普通高校研究生科研创新计划项目(KYZZ15_0102),中央高校基本科研业务费专项基金资助 （KYZZ15_0102）
江苏师范大学科研基金项目(14XLB02) （14XLB02）
