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Chapter and Conference Paper
Autocontinuity from below of Set Functions and Convergence in Measure
In this note, the concepts of strong autocontinuity from below and strong converse autocontinuity from below of set function are introduced. By using four types of autocontinuity from below of monotone measure...
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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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Article
A Discrete-Time American Put Option Model with Fuzziness of Stock Prices
To solve a mathematical model for American put option with uncertainty, we utilize two essentials, i.e., a λ-weighting function and a mean value of fuzzy random variables simultaneously. Estimation of randomne...
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Article
Performance of the automated motion correction program for the calculation of left ventricular volume and ejection fraction using quantitative gated SPECT software
The effectiveness of the automated motion correction software (INSTILL, Philips Medical Systems Co. Ltd., Andover, USA) proposed by Matsumoto et al. to prevent motion artifact in quantitative gated SPECT, was ...
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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
Stop** Game Problem for Dynamic Fuzzy Systems
Astop** game problem is formulated by cooperating with fuzzy stop** time in a decision environment. The dynamic fuzzy system is a fuzzification version of a deterministic dynamic system and the move of the...
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Article
A Fuzzy Stop** Problem with the Concept
Stimulated by Zadeh's paper (Journal of Statistical Planning and Inference,2002, 105, 233--264), we will try to consider a perceptive analysis of the optimal stop** problem. In this paper, the fuzzy perception ...
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Chapter and Conference Paper
An Objective Function Based on Fuzzy Preferences in Dynamic Decision Making
This paper presents a mathematical model for dynamic decision making with an objective function induced from fuzzy preferences. The fuzzy preference is related to decision making in artificial intelligence, an...
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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...
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Chapter
Interval Methods for Uncertain Markov Decision Processes
In this paper, interval methods for uncertain Markov decision processes are considered. That is, a controlled Markov set-chain model with a finite state is developed by an interval arithmetic analysis, and we ...
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Chapter
Order Relations and a Monotone Convergence Theorem in the Class of Fuzzy Sets on ℝ n
Concerning with the topics of fuzzy decision processes, a brief survey on ordering of fuzzy numbers on ℝ is presented and an extension to that of fuzzy sets(numbers) on ℝ n are cons...
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Chapter and Conference Paper
A Game Variant of the Stop** Problem on Jump Processes with a Monotone Rule
A continuous-time version of the multivariate stop** problem is considered. Associated with vector-valued jump stochastic processes, stop** problems with a monotone logical rule are defined under the notio...
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Chapter and Conference Paper
Voting Procedure on Stop** Games of Markov Chain
The paper deals with a p person, non-cooperative game related to the observation of a Markov chain. The players observe the process up to a random moment defined by a monotonic logical function based on an indivi...
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Chapter and Conference Paper
On the value for OLA-optimal stop** problem by potential theoretic method
The stop** problem on Markov process with OLA(One-stage Look Ahead) policy is considered. Its associated optimal value could be expressed explicitly by a potential for a charge of the positive part of the di...