Similarity and dissimilarity measures of basic uncertain information and their applications in group decision-making

This paper introduces some information measures include distance measure, similarity measure, entropy measure, cross-entropy measure and correlation measure in a basic uncertain information (BUI) environment, which are used to compare BUI or to measure the uncertainty, and which can be further utilized to the determination of candidates in group decision-making problems. Some simple rules to generate these measures are provided. The VIKOR method is extended to solve group decision-making problems with BUI, in which the developed information measures are used to derive the weighting vector of attributes. Finally, a case study and some comparative results show the validity of the develop group decision approach.