直觉模糊物元及其在权重信息未知多属性群决策中的应用

针对传统物元分析理论无法应用于决策信息为直觉模糊数的多属性决策问题，提出直觉模糊物元分析模型以及用相对相似度代替传统方法中的关联函数来解决直觉模糊物元分析问题，进而完整阐述了直觉模糊物元多属性决策的方法步骤，并通过实例验证了该方法的有效性。特别是针对权重信息未知这一类较为复杂的多属性群决策问题，采用投影法和直觉模糊熵确定权重信息，并运用直觉模糊物元多属性决策方法进行了实例分析，证明了方法的实用性，为直觉模糊多属性群决策提供了一种新的思路。
The intuitionistic fuzzy matter-element model with intuitionistic fuzzy decision information was proposed for the traditional matter-element theory which cannot be applied in intuitionstic fuzzy decision-making. It presented relative similarity to replace the traditional correlation function and then integrally described intuitionistic fuzzy matter-element multi-attribute decision-making method and its steps. An example was used to show the effectiveness of this method, especially it analyzed the multi-attribute group decision-making problem with unknown weight by using the projection method and intuitionistic fuzzy entropy to prove the practicability of this method.It is proved that the method presented here can offer a new approach to solve intuitionistic fuzzy multi-attribute group decision-making problems.