Information Volume of Mass Function
Keywords:
information volume, mass function, Shannon entropy, Deng entropyAbstract
Given a probability distribution, its corresponding information volume is Shannon entropy. However, how to determine the information volume of a given mass function is still an open issue. Based on Deng entropy, the information volume of mass function is presented in this paper. Given a mass function, the corresponding information volume is larger than its uncertainty measured by Deng entropy. In addition, when the cardinal of the frame of discernment is identical, both the total uncertainty case and the BPA distribution of the maximum Deng entropy have the same information volume. Some numerical examples are illustrated to show the efficiency of the proposed information volume of mass function.
References
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[18] Gao, X.; Deng, Y. (2020). The pseudo-pascal triangle of maximum deng entropy. International Journal of Computers Communications & Control, 15(1), 1006, 2020. https://doi.org/10.15837/ijccc.2020.1.3735
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[22] Gou, X.; Xu, Z.; Herrera, F.(2018). Consensus reaching process for large-scale group decision making with double hierarchy hesitant fuzzy linguistic preference relations. Knowledge-Based Systems, 157, 20-33, 2018. https://doi.org/10.1016/j.knosys.2018.05.008
[23] Jiang, W., Cao, Y.; Deng, X. (2020). A Novel Z-network Model Based on Bayesian Network and Z-number. IEEE Transactions on Fuzzy Systems, 28(8), 1585-1599, 2020. https://doi.org/10.1109/TFUZZ.2019.2918999
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[30] Liu, B.; Deng, Y. (2019). Risk evaluation in failure mode and effects analysis based on D numbers theory. International Journal of Computers Communications & Control, 14(5), 672-691, 2019.
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