| Decision-making has an important impact on the steady development of supply chain and the business development of upstream and downstream enterprises involved.Multiattribute decision-making and multi-objective decision-making are two key issues in supply chain decision.The typical method to solve the above problems is to transform them into numerical function optimization problems.However,due to the perishableness of aquatic products,more nondeterminacy and fuzziness should be concerned in using numerical functions optimization compared with other product circulations.It is difficult to obtain the exact value of coefficients in objective functions and constraints in such an environment of decision-making.Considering the nondeterminacy and fuzziness in practice,a new decisionmaking method of aquatic product supply chain is established based on interval-valued function optimization method to take advantage of interval value.Therefore,an intervalvalued weight optimization and an interval-valued nonlinear functions optimization method are proposed for decision-making problems in the process of aquatic products procurement,transportation and investment.And then aforementioned two methods are utilized to solve the problems of supplier selection,the multi-product purchase distribution,logistics loss managements under given a profit and multi-project investment portfolio distribution in aquatic product supply chain,respectively.The content of this dissertation mainly includes:1.Applying interval-valued weight optimization method to solve the problems of aquatic product supplier selection and multi-product procurement distribution.Firstly,the problem of interval-valued weight optimization is transformed into a linear programming model with the objective function to minimize the deviation.And the optimal weight is calculated by MATLAB.Furthermore,based on the optimized weights,the interval-valued arithmetic weighted average and ordered weighted average are then utilized to rank the available aquatic product suppliers and select the optimal candidate suppliers.These results are used to solve the optimal supplier selection for purchasing cooked fish fillets of Zhoushan Haohai Limited Company.Finally,the procurement allocation problem of multiproducts in the same batch of Zhoushan Haohai Limited Company is transformed into a single-objective interval-valued linear programming by using the weight optimization method and its optimal amount purchased is obtained.2.Investigating the problems of logistics loss minimization under given a profit and the multi-project portfolio distribution with the interval-valued nonlinear functions optimization method.Specifically,in view of that there exist many partially ordered relations on the interval sets,the definitions of ≤-extremum and≤-convex functions of interval-valued n-ary nonlinear functions based on interval-valued partially ordered relation ≤are provided at first.Based on them,the necessary and sufficient conditions for the-≤-extremum of interval-valued n-ary nonlinear functions and the ≤-convex conditions for interval-valued n-ary nonlinear functions are investigated,respectively.And then the KKT conditions for interval-valued nonlinear convex functions and interval-valued quadratic programming are presented.Finally,the above interval-valued nonlinear optimization method is applied to find the optimal product density under the minimum logistics loss of Zhoushan Xinbei Fishery Distribution Company and the optimal investment proportion of multi-project investment portfolio of Zhoushan Putuozhuohai Seafood Investment Company. |