CAJ | 학술논문

针对决策者具有格序偏好结构的群决策问题,提出了一种基于偏好距离测度的群决策方法.该方法定义了格上偏好关系的一种距离测度,并算出二元关系之间的距离;利用偏好关系之间的距离建立一数学模型,结合优先原则和集结规则将个人偏好集结成群体偏好,并将该决策方法推广到专家权重信息不能完全确定的情况.给出了应用该方法的具体步骤,举例说明了该方法的可行性.
침대결책자구유격서편호결구적군결책문제,제출료일충기우편호거리측도적군결책방법.해방법정의료격상편호관계적일충거리측도,병산출이원관계지간적거리;이용편호관계지간적거리건립일수학모형,결합우선원칙화집결규칙장개인편호집결성군체편호,병장해결책방법추엄도전가권중신식불능완전학정적정황.급출료응용해방법적구체보취,거례설명료해방법적가행성.
A method of group decision-making problem based on preference distance is proposed, when the preference information is provided by decision maker with lattice preference structure. The distance of preference relation based on lattice order is defined, and the distance between binary relations are calculated. Using the distance of preference relation,a mathematical model is established, the individual preferences are aggregated by applying the priority rules and intersection rule, and the group's preference structure has partial order characteristic. The decision-making method is applied into the decision makers' power with incomplete certain information. The feasibility and effectiveness of the method are illustrated with a numerical example.