Combining Evidence Sources in Time Domain With Decision Maker’s Preference on Time Sequence

Abstract

Given the fusion problem of uncertain information on the time domain, this paper proposes a time-domain evidence fusion method involving the time sequence of the decision-maker based on evidence theory to give full expression to the influence of dynamic features and the time factor of time-domain information fusion on the integration. Time sequence preference of the decision maker is integrated into the time domain evidence fusion. The time sequence preference of the decision-maker is measured by analyzing the features of time domain evidence sequence based on the definition of time sequence memory factor. An optimization model is constructed to solve the time sequence weight. In addition, the concept of the evidence belief degree is combined to amend the evidence source. Finally, the amended evidence is integrated using the Dempster combination rule. Compared with the fusion method without the time factor, numerical results indicate that the evidence fusion method considering the time preference of decision maker can effectively handle the conflict information in the time-domain information sequence, and reasonable fusion results can be obtained. The results of comparative analysis indicate that the proposed method, in which the belief degree of time domain evidence sequence and the subjective preference of decision maker are fully considered, can demonstrate the influence of subjective factors of the decision maker on the time domain evidence fusion and better manifest the dynamic feature of time domain evidence fusion.

Keywords

• Evidence theory
• time sequence preference
• time sequence weight
• credibility
• evidence combination