A Modified Uncertainty Measure of Z-numbers


  • Yangxue Li University of Granada, Spain
  • Francisco Javier Cabrerizo University of Granada, Spain
  • Enrique Herrera-Viedma University of Granada, Spain
  • Juan Antonio Morente-Molinera University of Granada, Spain




The Z-number is a more adequate construct for describing real-life information. While considering the uncertainty of the information, it also models the partial reliability of the information. It is a combination of probabilistric restriction and possibilistric restriction. In this paper, we modified the uncertainty measurement of the discrete Z-number and proposed the uncertainty measurement of the continuous Z-number. Some numerical examples are used to illustrate the calculation processes and advantages of the proposed method. An application of journey vehicle selection shows the effectiveness of the proposed uncertainty measurement in determining the weights of criteria.


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