Research On Decision Method And Application For Three-Sided Matching With Independent Acyclic Preference Structure

With the continuous refinement of the social division of labor,the cooperative relationship between social subjects has become more complicated and diversified,and the matching theory is facing new problems and new demands brought about by the complex changes in the market environment.Aiming at the various complex relationship forms that are constantly emerging in the tripartite subject market,this article is based on the independent acyclic preference structure of the tripartite subject,considering the multi-dimensional progressive demand of the matching subjects for the alliance members and the matching plan,taking the three-sided matching problem for different types of preference information as the carrier,committing to the research of three-sided independent acyclic matching method and application under multi-dimensional targets.According to the degree of uncertainty and complexity from low to high,starting from preference order information,precise preference value information,fuzzy preference information and mixed preference information,the stability,satisfaction,hesitation,and fairness of three-sided independent acyclic matching are analyzed sequentially.It gradually explores the decision-making methods of three-sided stable matching,satisfactory stable matching,satisfactory stable matching with minimum hesitation,and fair satisfactory stable matching,and applies the methods to empirical research on the matching market.First of all,based on the information of the subject's preference order,a three-sided stable matching method with independent acyclic preference structure is studied.Considering the stable cooperation needs of the matching subjects for the matching objects,for the independent acyclic preference structure,the blocking group and stable matching are defined,and the three-sided independent acyclic stable matching problem based on the preference order information is proposed,and the three-sided independent acyclic matching model is constructed to maximize the matching cardinality.Based on strict preference order information,design a side-by-side optimization algorithm,and analyze the time complexity,stability of the algorithm and matching cardinal number,and verify the effectiveness and feasibility of the proposed algorithm through case applications in enterprise project management.Thus,theoretical basis of three-sided matching is improved and three-sided matching algorithm is enriched.Secondly,based on the accurate preference value information,the three-sided satisfactory and stable matching method with independent acyclic preference structure is studied.Priority is given to the need for stable cooperation,combined with the relative nature of the preference order and the precise preference value,the equivalent definitions of the blocking group and stable matching under the precise preference value information are given,taking into account the optimal overall preference,and the three-sided independence acyclic satisfaction and stable matching model under the condition of double demand is proposed.Aggregate and merge the accurate preference values of multiple attributes,give the calculation formula of the overall preference score,and take the stable matching as the constraint and maximize the overall preference as the goal,construct the three-sided acyclic satisfactory stable matching model,and give the solution steps and methods,through the application of cases in government PPP project management,verify the effectiveness and feasibility of the models and methods,thereby broadening the research perspective of the three-sided matching theory and expanding the scope of application and application fields of three-sided matching method.Thirdly,based on the fuzzy preference information of probability hesitation,the trilateral satisfactory and stable matching method with minimum hesitation is studied.Based on the fuzzy theory,the calculation formulas of the main probabilistic hesitation fuzzy element score,variance and hesitation are given.Aiming at the three-sided independent acyclic preference structure,consider matching stability,satisfaction and hesitation at different levels,discuss the equivalent constraint conditions of blocking group and stable matching under the fuzzy information of probability hesitation,and define stable matching with independent acyclic preference structure,satisfactory stable matching and satisfactory stable matching with minimum hesitation.Constrained by stable matching,with the goal of maximizing satisfaction and minimizing hesitation,construct a three-sided independent acyclic satisfactory stable matching model,apply the hierarchical sequence method,give the solution steps of the model,and apply it to the case of industrial poverty alleviation projects in order to verify the effectiveness and feasibility of the model and method,it provides theoretical basis and method support for solving the three-sided independent acyclic matching case with probabilistic hesitating fuzzy information.In addition,based on three different types of mixed preference information,a three-sided fair and satisfactory stable matching method with independent acyclic preference structure is studied.Combining the subject's psychological behavior characteristics,the utility conversion function of mixed preference information is established.Based on the regret theory,the regret and joy function is introduced to obtain the calculation formula of the subject's perceived utility.Using the method of multi-attribute decision-making to determine the weight,based on maximizing the overall perceived utility,the attribute weighting model is established and the attribute weighting formula is derived.Analyze the blocking group with matching capacity,the overall perceived utility,and the degree of divergence within the group,and define the fair and satisfactory stable matching with capacity.Based on maximizing perceived utility,minimizing intra-group divergence and stable matching conditions,establish a fair and satisfactory stable matching model with matching capacity,discuss the solution steps and methods of the model,and apply it to government shed reform project matching cases to verify the model and the effectiveness and feasibility of the method,thereby making up for the lack of matching decision-making in focusing on the subject's psychological behavior and subject matching capacity,reflecting the innovative thinking of matching theory research.Finally,an empirical study on the matching of mortgage financing of movables under the logistics financial innovation model.Identify the preference structure of the tripartite entities in movable property pledge financing under the logistics financial innovation model,and design a comprehensive evaluation index system for the matching of movable property pledge financing.Aiming at the case of Shenzhen Fourth Party Logistics DS Company's movable property pledge financing matching case,based on the preference information and matching capacity information of all parties,a movable property pledge financing matching model is constructed to realize the tripartite matching of financial institutions,financing enterprises and third-party logistics providers on the platform,to relieve the financing difficulties of small and medium-sized enterprises,so that financing companies,financial institutions,logistics companies,fourth-party logistics companies can achieve win-win cooperation.