Intuitionistic Evidence Sets

Dempster-Shafer evidence theory is efficient to deal with uncertain information. However, the traditional basic probability assignment (BPA) only considers the support degree of the focal elements. In this paper, in order to make decision-making processes more reasonable and flexible, intuitionstic evidence sets (IESs) are proposed. The essential part of IES is the intuitionstic basic probability assignment (IBPA). An IBPA can be regarded as a pair of ordered BPAs, the first BPA shows the support degrees and second BPA shows non-support degrees. Compared with the traditional BPA, the proposed IBPA considers both the support degree and non-support degree of focal elements. Compared with intuitionstic fuzzy set (IFS), the proposed IBPA assigns the support degree and non-support degree to both singletons and multiple subsets of the frame of discernment. The feasibility and the effectiveness of the proposed method are illustrated in an application of multi-criteria group decision making.