Inequalities and mathematical properties of uncertain variables

DOI10.1007/s10700-011-9110-9zbMath1254.28020OpenAlexW2101981139MaRDI QIDQ1927248

Jing-Feng Tian

Publication date: 31 December 2012

Published in: Fuzzy Optimization and Decision Making (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10700-011-9110-9

zbMATH Keywords

inequalityLyapunov's inequalityuncertain variableuncertain measure

Mathematics Subject Classification ID

Inequalities; stochastic orderings (60E15) Fuzzy measure theory (28E10)

Related Items (9)

Refinements of generalized Aczél's inequality and Bellman's inequality and their applications ⋮ Reversed version of a generalized Aczél's inequality and its application ⋮ A new reversed version of a generalized sharp Hölder's inequality and its applications ⋮ Extensions of Hölder's inequality and its applications in Ostrowski inequality ⋮ New property of a generalized Hölder's inequality and its applications ⋮ Reversed version of a generalized sharp Hölder's inequality and its applications ⋮ Poincáre recurrence theorem in regular uncertain dynamic system ⋮ Extensions and demonstrations of Hölder's inequality ⋮ Refinements of Hardy-type inequalities

Cites Work

• Some inequalities of random fuzzy variables with application to moment convergence
• Existence and uniqueness theorem for uncertain differential equations
• Fuzzy sets as a basis for a theory of possibility
• Random fuzzy dependent-chance programming and its hybrid intelligent algorithm
• Uncertainty theory. An introduction to its axiomatic foundations.
• On the convergence of uncertain sequences
• Some discussions on uncertain measure
• A SUFFICIENT AND NECESSARY CONDITION FOR CREDIBILITY MEASURES
• ON LIU'S INFERENCE RULE FOR UNCERTAIN SYSTEMS
• SOME PROPERTIES OF CONTINUOUS UNCERTAIN MEASURE
• Fuzzy sets
• Uncertainty theory

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