A vendor selection problem consists of two different kinds of decision making. First one is to choose the best suppliers among all possible suppliers and the next is to allocate the optimal quantities of orders among the selected vendors. In this study, an integration of the technique for order preference by similarity to ideal solution (TOPSIS) and a multi-objective mixed integer programming (MOMIP) is developed to account for all qualitative and quantitative factors which are used to evaluate and choose the best group of vendors and to decide the optimal order quantity for each vendor. A solution methodology for the vendor selection model of multiple-vendor, multiple-item with multiple decision criteria and in respect to finite vendor capacity is presented.

This paper deals with selecting an optimal rapid prototyping(RP) machine that suits the end use of a part. Evaluation factors include only major attributes such as accuracy, roughness, strength, part cost and build time that greatly affect the performance of RP machines. Accuracy, surface roughness and strength are presented as crisp values. The part cost and build time identified as just approximate ranges due to different human cost and many variable parameters are presented by linguistic values. It can be described with triangular fuzzy numbers. Based on the evaluation values obtained, an appropriate RP process for a specific part application can be selected by using the modified TOPSIS(Technique of Order Preference by Similarity to Ideal Solution) method including crisp data as well as linguistic variables, and each weight on the alternatives is assigned by using a fuzzy weight. The ranking order of all machines provides the decision information for the selection of RP machines.

Finding an optimal solution in MADM(Multi-Attribute Decision-Making) problems is difficult, when the number of alternatives, or that of attributes is relatively large. Most of the existing mathematical approaches arrive at a final solution on the basis of many unrealistic assumptions, without reflecting the decision-maker's preference structure exactly. In this paper we suggest a model that helps us find a group consensus without assessing these parameters in specific cardinal values. Therefore, This research provides a comprehensive Decision Making of the theory and methods applicable to the analysis of decisions that involve risk and multiple criteria attributes. after, The emphasis of the procedure will be on developments from the fields of decisions analysis and utility theory of Taguchi Method. This theoretical development will be illustrated through the discussion of several real-world application and a case study. When the multiple number of decision makers are involved in the decision making procedure, the problem of uncertainties invariably occurs, because of the different views between them. In this paper, New decision making model using Taguchi Method is applied to effectively model the multi-attribute-decision making(MADM) procedure in the uncertainties dominated two area(quantitative and qualitative factors), Quantitative factors evaluation is used Loss Function of Taguchi, qualitative factors evaluation is used S₩N ratio by each specialist. thus it can be used for aiding of preferable alternative. as a result, We will be proved efficiency about New decision making model of applied Taguchi Method with Analytical presentation of all the expecting outcomes when a specific strategy or an alternative plan is selected under expecting future environment.

Finding an optimal solution in MADN[(Multi-Attribute Decision-Making) problems is difficult, when the number of alternatives, or that of attributes is relatively large Most of the existing mathematical approaches arrive at a final solution on the basis of many unrealistic assumptions, without reflecting the decision-maker's preference structure exactly. In this paper we suggest a model that helps us find a group consensus without assessing these parameters in specific cardinal values. Therefore, This research provides a comprehensive Decision Making of the theory and methods applicable to the analysis of decisions that involve risk and multiple criteria attributes. after, The emphasis of the procedure will be on developments from the fields of decisions analysis and utility theory of Taguchi Method. This theoretical development will be illustrated through the discussion of several real-world application and a case study. When the multiple number of decision makers are involved in the decision making procedure, the problem of uncertainties invariably occurs, because of the different views between them. In this paper, New decision making model using Taguchi Method is applied to effectively model the multi-attribute-decision making(MADM) procedure in the uncertainties dominated two area(quantitative and qualitative factors), Quantitative factors evaluation is used Loss Function of Taguchi, qualitative factors evaluation is used 50 ratio by each specialist. thus it can be used for aiding of preferable alternative. as a result, We will be proved efficiency about New decision making model of applied Taguchi Method with Analytical presentation of all the expecting outcomes when a specific strategy or an alternative plan is selected under expecting future environment.

다기준 의사결정 문제에서 요인간의 가중치 계산과 계산된 요인의 평가값 종합화는 매우 중요하다. 본 연구에서는 다기준 의사결정 문제에 있어서 의사결정자의 의사전략 결합기법과 다기준의사결정 문제로의 적용을 연구하였다. 복잡한 환경에서 의사결정을 할 때 발생되는 모호함을 해결하기 위해 주관적 의견을 결합한 퍼지지합 이론을, 다기준 문제의 요인을 퍼지값으로 계층화하기 위해 계층분석법을 적용하였다. 또한, 의사결정자의 의사전략을 결합하기 위해 순위 가중치평균법을 이용하였다. 순위가 있는 가중치 평균방법은 퍼지집합의 orness 특성을 이용하여 의사결정자의 주관적 의지를 반영할 수 있는 기법으로, 순위가중치평균(OWA) 연산자에 따른 낙관적 혹은 비관적인 정도에 따라 주관적인 의도를 반영할 수 있는 방법이다. 다기준의사결정 문제의 적용사례로서 해상교통안전을 위한 대기정박지의 위치분석 문제를 본 연구에서 제시한 방법에 따라 적용하였다.

다수의사결정그룹(MDMG : Multiple Decision-Making Croup)문제는 서로 의견이 상충하는 단위의사결정그룹(UDMG: Unit Decision-Making Croup) 문제로 구성되어 있다. 특히, 항만경쟁력 평가문제의 경우, 다계층·복합·다속성의 복잡한 평가특성을 가지며, 평가에 있어 선사, 포워더, 물류기업, 연구자 등 다수의 의사결정자들이 참여하는 대표적인 다수의사결정그룹문제가 된다. 이러한 복잡한 문제의 평가는 각 그룹간의 이질적인 선호도를 합리적으로 융합하는 가중치 보완과정이 필요하게 된다. 즉, 가중치 보완과정은 평가결과의 신뢰성과 타당성을 확보할 수 있는 매우 중요한 절차로써, 이를 위한 합리적인 방안에 대한 연구가 필요하다. 본 연구는 여기에 주목하여 평가 문제에서 빈번히 발생하는 이질적인 선호도를 합리적으로 흉합하는 방안을 제시하는 것을 연구의 목적으로 한다. 수립된 방안을 토대로 실제 다수 평가그룹이 참여하는 항만경쟁력 평가항목의 가중치 조정문제에 적용한 결과. 이질적인 선호도가 융합된 통합 가중치를 도출할 수 있었다.