Conflict Analysis Based Two-sided Matching Decision Modeling With Applications

With the continuous development of society,many scholars have conducted in-depth research and application of two-sided matching theory.Since the reform and opening up of the market into free allocation,new economic forms have led to the new problems,and conflicts between the matching parties often occurs.Therefore,the two-sided matching research in the perspective of group decisionmaking cannot be fully satisfied,and the research should be conducted from the perspective of conflict game.The Graph Model for Conflict Resolution(GMCR)is a conflict analysis method based on the classical game theory.Compared with the definition of the classical game theory that must rely on quantitative analysis and need to construct a utility function,GMCR only need the relative preference information of the decision makers.It can be more flexible and practical.Therefore,this paper proposes a systematic study of two-sided matching problems by using GMCR from the perspective of conflict.First,this paper constructs the two-sided matching research framework from the perspective of conflict.On the basis of relevant theories,this paper sets up the two parties,analyzes three types of the problems,and constructs a two-sided matching analysis process from the perspective of conflicts.Second,this paper constructs a two-sided matching decision model based on the Graph Model for Conflict Resolution.According to the basic steps of GMCR,this paper identifies decision makers,builds strategy plans,forms state sets and reductions,sets decision maker preferences,and solves stability for two-sided matching problems,and compares the example with the group decision method to verify the rationality and certain innovation of GMCR to solve the two-sided matching problems.Finally,this paper studies the complex two-sided matching problem from the perspective of conflict.In the actual complex two-sided matching problems,the number of subjects are large and the differences are large,and the existing software of GMCR cannot handle the problem.Therefore,the subjects are grouped,and the distance-based ordinal preference aggregation optimization model is constructed according to certain evaluation criteria.The qualitative sorting set is the group's unified preference,and the GMCR's strategy priority is obtained,which facilitates the setting and solving of the preference statement.Based on the background of college students' employment and enterprise's recruitment,the results are satisfactory,which combines theoretical innovation with practical application,and broadens the thinking for the study of two-sided matching problems.