Compromise Chance Measure for Hybrid Events

@article{Li2007CompromiseCM,
  title={Compromise Chance Measure for Hybrid Events},
  author={Xiang Li and Baoding Liu},
  journal={2007 IEEE International Fuzzy Systems Conference},
  year={2007},
  pages={1-4}
}
Hybrid variable is a tool to deal with the fuzziness and randomness that simultaneously appear in a system. In order to measure hybrid event, a concept of compromise chance measure is proposed in this paper. Furthermore, some useful theorems about this measure such as monotonicity, self-duality are proved. Furthermore, the expected value and variance are defined, and the maximum variance theorem is proved. 

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