On a Geometric Generalization of Entropy

  title={On a Geometric Generalization of Entropy},
  author={V. Leus},
  journal={Problems of Information Transmission},
  • V. Leus
  • Published 2003
  • Mathematics, Computer Science
  • Problems of Information Transmission
  • A new approach to the notion of a probability space is proposed. A stochastically measurable space is equipped with a geometric structure by introducing distances between elementary events. The probabilistic proximity space (in the discrete case) is used to generalize the notion of entropy. Entropy thus geometrized is shown to preserve all the former properties and also to acquire a previously unknown useful quality. This opens new possibilities in the area of information disciplines. 


    On the Value of Information
    • 38
    Subjektive Unsicherheit und subjektive Information
    • 5
    On the Geometric Generalization of Entropy, Trudy konf., posvyashchennoi 90-letiyu so dnya rozhdeniya A.A
    • Lyapunova (Proc. Conf. Dedicated to the 90th Anniv. since the Birth of A.A. Lyapunov), Novosibirsk,
    • 2001
    Geometric Approach to the Numerical Representation of Entropy, Trudy IV Sibirskogo kongressa po prikladnoi i industrial’noi matematike
    • (Proc. IV Siberian Congr. on Appl. Industr. Math.), Part II, Novosibirsk,
    • 2000
    G.Sh., Kurs teorii informatsii (A Course in Information Theory)
    • Moscow: Nauka,
    • 1982
    On the Value of Information, Probl
    • Kibern., 1960,
    • 1960