Based on the option prioritization in graph model for conflict resolution of two decision makers(DMs),new logical and matrix representations of four stability concepts for DMs′attitude are proposed.The logical repres...Based on the option prioritization in graph model for conflict resolution of two decision makers(DMs),new logical and matrix representations of four stability concepts for DMs′attitude are proposed.The logical representation of attitude is defined,and converted to the matrix form in order to develop a decision support system(DSS)efficiently.Compared with existing definitions of DMs′attitude based on states,the proposed definitions of attitude based on options are convenient and more effective to generate preferences since that of states can be significantly larger than that of options in a large conflict.In addition,it is easier to obtain the information of the prioritization of option statements than to obtain preference of states for users.The proposed representations are applied to the process conflict during aircraft manufacturing to demonstrate the efficiency of the new approach.展开更多
An option prioritization technique is developed to efficiently elicit the preferences, both unknown and crisp, of decision makers （DMs） in strategic conflicts. In the Graph Model for Conflict Resolution, each DM has...An option prioritization technique is developed to efficiently elicit the preferences, both unknown and crisp, of decision makers （DMs） in strategic conflicts. In the Graph Model for Conflict Resolution, each DM has one or more options, each of which may be selected or not. A state, or possible scenario, is formed when all DMs make an option selection. The software GMCR II contains an option prioritization procedure that makes it easy for a modeUer to enter a DM＇s crisp preference ordering over the states using prioritized statements describing the DM＇s preferred option combinations. This procedure is extended by adding two new logical connectives that describe uncertainty of preference. For each DM, a range of possible scores for each feasible state can then be calculated, facilitating the determination of a preference ordering containing uncertainty by comparing and ranking scores. To demonstrate how this new methodology can be used to represent tmknown preferences in a real-world decision problem, it is applied to a Canadian dispute over proposed water exports.展开更多
基金supported by the National Natural Science Foundation of China(Nos.71071076,71471087,and 61673209)
文摘Based on the option prioritization in graph model for conflict resolution of two decision makers(DMs),new logical and matrix representations of four stability concepts for DMs′attitude are proposed.The logical representation of attitude is defined,and converted to the matrix form in order to develop a decision support system(DSS)efficiently.Compared with existing definitions of DMs′attitude based on states,the proposed definitions of attitude based on options are convenient and more effective to generate preferences since that of states can be significantly larger than that of options in a large conflict.In addition,it is easier to obtain the information of the prioritization of option statements than to obtain preference of states for users.The proposed representations are applied to the process conflict during aircraft manufacturing to demonstrate the efficiency of the new approach.
基金Acknowledgments This work was supported by the Scientific Innovation Project of Graduate Students in Jiangsu Province in China （Grant No. CXZZ12-0263）, the National Natural Science Foundation of China （Grant No. 71471087）, as well as by the Natural Sciences and Engineering Research Council of Canada. The authors wish to express their sincere appreciation to the anonymous referees, the Associate Editor, and the editor-in-chief for furnishing comments and constructive suggestions that significantly improved the quality of their article. The authors would also like to thank Mr. Conrad Hipel for editing the paper.
文摘An option prioritization technique is developed to efficiently elicit the preferences, both unknown and crisp, of decision makers （DMs） in strategic conflicts. In the Graph Model for Conflict Resolution, each DM has one or more options, each of which may be selected or not. A state, or possible scenario, is formed when all DMs make an option selection. The software GMCR II contains an option prioritization procedure that makes it easy for a modeUer to enter a DM＇s crisp preference ordering over the states using prioritized statements describing the DM＇s preferred option combinations. This procedure is extended by adding two new logical connectives that describe uncertainty of preference. For each DM, a range of possible scores for each feasible state can then be calculated, facilitating the determination of a preference ordering containing uncertainty by comparing and ranking scores. To demonstrate how this new methodology can be used to represent tmknown preferences in a real-world decision problem, it is applied to a Canadian dispute over proposed water exports.
