Recursive inset entropies of multiplicative type on open domains

DOI10.1007/BF01836096zbMath0659.39002OpenAlexW2034243356MaRDI QIDQ1112266

Che Tat Ng, Palaniappan Kannappan, Bruce R. Ebanks

Publication date: 1988

Published in: Aequationes Mathematicae (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/137289

zbMATH Keywords

multiplicativityfundamental equation of informationrecursivityinset information measuresrecursive information measures

Mathematics Subject Classification ID

Measures of information, entropy (94A17) Measures on Boolean rings, measure algebras (28A60) Functional equations and inequalities (39B99)

Related Items (5)

Utility of gambling when events are valued: An application of inset entropy ⋮ The fundamental equation of information and its generalizations ⋮ Branching inset entropies on open domains ⋮ Utility of gambling. I: Entropy modified linear weighted utility ⋮ Utility of gambling under p(olynomial)-additive joint receipt and segregation or duplex decomposition

Cites Work

• A mixed theory of information. VIII: Inset measures depending upon several distributions
• Measures of inset information of the open domain. I: Inset entropies and information functions of all degrees
• Generalized fundamental equation of information of multiplicative type
• The equation \(F(x)+M(x)G(1/x)=0\) and homogeneous biadditive forms
• The fundamental equation of information and its generalizations
• A mixed theory of information. III. Inset entropies of degree β
• Branching and Generalized-Recursive Inset Entropies
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