Abstract
The processing scheme of typical incomplete information systems has been widely explored nowadays, however most of these approaches may change the original data information and can not guarantee the integrity of original information systems. Meanwhile, psychological behaviors of decision makers usually have an influence on the decision-making results. In light of these facts, the paper explores a new three-way decision approach by using prospect theory for an incomplete information system, which handles the default information of an incomplete information system by virtue of a probability dominance relation. First, a probability dominance relation of an incomplete information system is defined to process a binary relation between evaluation values, and the way for calculating the relative value function in the behavior decision-making process is also given. Moreover, the conditional probability with a decision attribute in an incomplete decision information system is put forward, and an objective weight function via prospect theory is further obtained. On this basis, a prospect-theory-based three-way decision approach with a probability dominance relation for an incomplete information system is proposed. Finally, the stability, effectiveness and superiority of the presented approach are validated via corresponding experimental studies and comparative analysis with two realistic cases.
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