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Chapter and Conference Paper
A Version of Lebesgue Decomposition Theorem for Non-additive Measure
In this paper, Lebesgue decomposition type theorems for non-additive measure are shown under the conditions of null-additivity, converse null-additivity, weak null-additivity and σ-null-additivity, etc.. In our d...
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Chapter and Conference Paper
Regularity Properties of Null-Additive Fuzzy Measure on Metric Spaces
We shall discuss further regularity properties of null-additive fuzzy measure on metric spaces following the previous results. Under the null-additivity condition, some properties of the inner/outer regularity...
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Chapter and Conference Paper
Perceptive Evaluation for the Optimal Discounted Reward in Markov Decision Processes
We formulate a fuzzy perceptive model for Markov decision processes with discounted payoff in which the perception for transition probabilities is described by fuzzy sets. Our aim is to evaluate the optimal ex...
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Chapter and Conference Paper
A Discrete-Time Portfolio Selection with Uncertainty of Stock Prices
A mathematical model for dynamic portfolio model with uncertainty is discussed. To consider this uncertainty modelling, the randomness and fuzziness are evaluated simultaneously cooperating with both of probab...