Theory and Implementation of Sensitivity Analyses Based on Their Algebraic Representation in the Graph Model
作者机构：College of Economics and Management Nanjing University of Aeronautics and Astronautics Nanjing 211106 China College of Computer Science and Technology Jiangsu Normal University Xuzhou 221116 China Department of Systems Design Engineering University of Waterloo Waterloo Canada School of Business Jiangsu Normal University Xuzhou 221116 China
出 版 物：《Journal of Systems Science and Systems Engineering》 (系统科学与系统工程学报（英文版）)
年 卷 期：2019年第28卷第5期
页 面：580-601页
核心收录：
学科分类：0810[工学-信息与通信工程] 1205[管理学-图书情报与档案管理] 07[理学] 0802[工学-机械工程] 0811[工学-控制科学与工程] 0812[工学-计算机科学与技术（可授工学、理学学位）]
基 金：The authors would like to express their appreciation to the anonymous reviewers and Editor for their constructive comments which improved the quality of the paper. The authors are grateful for the financial support supplied by the National Natural Science Foundation of China (71471087 71071076 and 61673209) a Discovery Grant from the National Sciences and Engineering Research Council of Canada and the Ministry of Education Humanities and Social Science Planning Foundation of China (18YJA630128).
主 题：Sensitivity analyses algebraic expression graph model ordinal preference conflict resolution
摘 要：Sensitivity analyses based on an algebraic representation in the graph model for conflict resolution (GMCR) are generalized for ascertaining the robustness of stability results by varying decision makers preference ranking.The ordinal preferences in GMCR are advantageous to carry out sensitivity analyses with respect to systematically identifying the influence of preference alterations upon the four basic stabilities consisting of Nash stability,general metarationality,symmetric metarationality and sequential stability.The proposed algebraic representation of the four basic stabilities is not only effective and convenient for computer implementation of sensitivity analysis,but also makes it easier to understand the meaning of the four stabilities when compared with the existing matrix representation.Further,these sensitivity analyses results are embedded into the latest version of the decision support system NUAAGMCR,which can be used to study real-world conflicts.To illustrate how these contributions to sensitivity analyses can be applied in practice and provide valuable strategic insights,they are used to investigate the civil war conflict in South Sudan.
维普期刊数据库