一种新的区间直觉模糊集决策方法:区间证据组合的角度

A new interval-valued intuitionistic fuzzy sets decision-making method: Combining of interval evidence aspect

基于证据理论,提出一种新的区间直觉模糊集决策模型.首先采用区间直觉模糊集表示属性值,将区间直觉模糊数转换为区间BPA;然后利用基于区间数的组合规则进行融合;最后将融合后的区间BPA转换为经典BPA用于决策,可直接方便地实现多属性数据的融合.该模型的优点在于:简单直观,能更有效地反映原始信息的不确定度;通用性好,可以推广到其他区间直觉模糊集的应用领域.算例结果表明了所提出模型的有效性.

A new interval-valued intuitionistic fuzzy sets decision-making model based on the evidence theory is proposed. The attribute values of corresponding alternatives in this model are in the form of interval-valued intuitionistic fuzzy numbers（IVIFN）. Firstly, IVIFN is converted into interval basic probability assignment（BPA）. Then, the combination rule based on interval BPA is utilized to fuse different attributes. Finally, in order to make the final decision, the fused interval BPAs are transformed into classical BPA. In this way, multi-attribute information can be fused directly. The advantages of the proposed model lie in its simplicity, which better reflects the uncertainty of original data, and universality, which can be expanded to other field of interval-valued intuitionistic fuzzy sets easily. A numerical example is used to illustrate the effectiveness of the proposed method.