A three-way decision approach with risk strategies in hesitant fuzzy decision information systems

As an efficient decision-making tool, three-way decisions have been extensively studied in diverse generalized fuzzy information systems. Among them, since hesitant fuzzy decision information systems can well depict the hesitancy of individuals, hesitant fuzzy three-way decisions serve as a significant research topic nowadays. However, the conditional probability still remains as a challenging issue in the above field. In order to reasonably evaluate the conditional probability of each object in hesitant fuzzy decision information systems without class labels, an (α,β)-probability dominance-similarity relation is put forward to calculate an (α,β)-probability dominance-similarity class. First, a relative loss function is proposed in hesitant fuzzy decision information systems. Then, a hesitant fuzzy three-way decision approach with three strategies is constructed via considering realistic decision-making features. At last, the rationality and validity of the proposed method are demonstrated by comparative and experimental analyses. The decision-making results with three strategies show that the presented hesitant fuzzy three-way decision approach with neutral strategies is more accurate than other counterparts.