On the Maximum Entropy Negation of a Probability Distribution

被引：72
|
作者：
Yager, Ronald R. [1 ]
机构：
[1] Iona Coll, Inst Machine Intelligence, New Rochelle, NY 10805 USA
来源：
IEEE TRANSACTIONS ON FUZZY SYSTEMS | 2015年 / 23卷 / 05期
关键词：
Aggregation; decision-making; membership grade; nonstandard fuzzy set;
D O I：
10.1109/TFUZZ.2014.2374211
中图分类号：
TP18 [人工智能理论];
学科分类号：
081104 ; 0812 ; 0835 ; 1405 ;
摘要：
We suggest a transformation to obtain the negation of a probability distribution. We investigate the properties of this negation. Using the Dempster-Shafer theory of evidence, we show of all the possible negations our proposed negation is one having a maximal type entropy.
引用
收藏
页码：1899 / 1902
页数：4
相关论文
共 50 条
  • [1] The maximum entropy negation of basic probability assignment
    Liu, Ruijie
    Deng, Yong
    Li, Zhen
    SOFT COMPUTING, 2023, 27 (11) : 7011 - 7021
  • [2] The maximum entropy negation of basic probability assignment
    Ruijie Liu
    Yong Deng
    Zhen Li
    Soft Computing, 2023, 27 : 7011 - 7021
  • [3] On the maximum extropy negation of a probability distribution
    Liu, Jiali
    Xiao, Fuyuan
    COMMUNICATIONS IN STATISTICS-SIMULATION AND COMPUTATION, 2024, 53 (01) : 234 - 246
  • [4] On the Maximum Entropy Negation of a Complex-Valued Distribution
    Xiao, Fuyuan
    IEEE TRANSACTIONS ON FUZZY SYSTEMS, 2021, 29 (11) : 3259 - 3269
  • [5] Extension of Yager's negation of a probability distribution based on Tsallis entropy
    Zhang, Jing
    Liu, Ruqin
    Zhang, Jianfeng
    Kang, Bingyi
    INTERNATIONAL JOURNAL OF INTELLIGENT SYSTEMS, 2020, 35 (01) : 72 - 84
  • [6] Marginal probability distribution determined by the maximum entropy method
    Majerník, V
    REPORTS ON MATHEMATICAL PHYSICS, 2000, 45 (02) : 171 - 181
  • [7] Generalization of negation of a probability distribution
    Priya Tanwar
    Amit Srivastava
    International Journal of System Assurance Engineering and Management, 2023, 14 : 447 - 454
  • [8] Exponential negation of a probability distribution
    Qinyuan Wu
    Yong Deng
    Neal Xiong
    Soft Computing, 2022, 26 : 2147 - 2156
  • [9] Exponential negation of a probability distribution
    Wu, Qinyuan
    Deng, Yong
    Xiong, Neal
    SOFT COMPUTING, 2022, 26 (05) : 2147 - 2156
  • [10] A note on negation of a probability distribution
    Manpreet Kaur
    Amit Srivastava
    Soft Computing, 2023, 27 : 667 - 676
12345