Application of extended evaluation method to the decision-making problems of alternatives

Yongbiao Luo, Jun Ye
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Abstract

An extended evaluation method for the decision-making problems of alternatives is introsuced by means of extension theory. The extended evaluation method can carry out the decision-making problems of the alternatives based on matter-element models and extended relational degrees. The matter-element model of the desired alternative (ideal alternative) and the matter-element models of alternatives are established according to decision-makers' knowledge or practical experience, and then the alternatives can be ranked by extended relational degrees to choose the optimal one (s). The extended evaluation method can give more sufficient information about the alternatives (proper or/and not proper information) than conventional fuzzy decision-making methods. Finally, it has been expounded through two illustrative examples that the application of the extended evaluation method to the decision-making problem of the alternatives is the effective and the evaluated results will give decision-makers the theoretical guidance to select the alternatives.
扩展评价方法在备选方案决策问题中的应用
利用可拓理论,提出了一种求解方案决策问题的可拓评价方法。扩展评价方法可以基于物元模型和扩展关联度进行方案决策。根据决策者的知识或实践经验,建立期望方案(理想方案)的物元模型和方案的物元模型,然后通过扩展关联度对方案进行排序,选择最优方案。扩展评价方法比传统的模糊决策方法能给出更充分的方案信息(适当信息和不适当信息)。最后,通过两个实例说明了将扩展评价方法应用于备选方案的决策问题是有效的,评价结果将为决策者选择备选方案提供理论指导。
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