Ryoji Fukuda

Oita University

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Aoi Honda

Kyushu Institute of Technology

Yoshiaki Okazaki

Fuzzy Systems Institute

Fumikazu Tamari

University of Teacher Education Fukuoka

Huifeng Ren

Tokyo University of Marine Science and Technology

Hideaki Endo

Iwate Prefectural Central Hospital

Toshitada Shimozaki

Changwon National University

Takahisa Okino

Oita University

Tetsuhito Hayashi

Tokyo University of Marine Science and Technology

Atsushi Kobayashi

Hokkaido University

Taichi Kawahara

Gunze (Japan)

Cooperative Institutions

Tokyo University of Marine Science and Technology

Kyushu University

Kyushu Institute of Technology

Oita University

The University of Tokyo

Tokyo Institute of Technology

Azabu University

National Institute of Public Health

Harbin University of Commerce

Osaka University

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Comparison of Decomposition Type Nonlinear Integrals Based on the Convergence Theorem

Journal of Japan Society for Fuzzy Theory and Intelligent Informatics (2020)

Ryoji Fukuda Aoi Honda Yoshiaki Okazaki

We consider several nonlinear integrals with respect to the monotone measures. We term the integrals defined by certain approximations via simple functions as decomposition type integrals. This category is classified based on the approximation directions (from above/below) and the disjointness of corresponding measurable set families (partition/covering). Furthermore, we add two classification points: finiteness of the summation (finite/countable) and sign of coefficients (non-negative/signed). This study aims to clarify the essential features of these integrals by considering several convergence theorems for each group of the decomposition type integrals.

10.3156/jsoft.32.4_782

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Citations (2)

Ornstein-Uhlenbeck semigroup and fourier transform acting on positive finite measures on the schwartz space

Journal of Mathematics of Kyoto University (1995)

Ryoji Fukuda

Ornstein–Uhlenbeck process

10.11501/3108132

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Citations (0)

Suitable L spaces for a k-additive set function

Fuzzy Sets and Systems (2022)

Ryoji Fukuda Aoi Honda Yoshiaki Okazaki

Subadditivity

Measurable function

Set function

Complement

Completeness (order theory)

Function space

Additive function

Real-valued function

10.1016/j.fss.2022.08.009

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Citations (4)

On Two Generalizations for k-Additivity

Lecture notes in computer science (2021)

Ryoji Fukuda Aoi Honda Yoshiaki Okazaki

Additive function

Constructive

Set function

10.1007/978-3-030-85529-1_4

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Citations (2)

Convergence theorems for several decomposition type non-linear integrals

arXiv (Cornell University) (2021)

Ryoji Fukuda

These are classified by the direction of approximation (from above or below), the set family types (partition or covering) of simple functions, the coefficient signature (non-negative or signed), and cardinal number of terms of simple functions(finite or countable infinite). We will compare these integrals considering the monotone increasing/decreasing convergence theorems.

10.48550/arxiv.2108.09280

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Constructive k-Additive Measure and Decreasing Convergence Theorems

Lecture notes in computer science (2020)

Ryoji Fukuda Aoi Honda Yoshiaki Okazaki

Constructive

Dominated convergence theorem

10.1007/978-3-030-57524-3_9

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Citations (5)

Constructive Set Function and Extraction of a k-dimensional Element

Lecture notes in computer science (2023)

Ryoji Fukuda Aoi Honda Yoshiaki Okazaki

Set function

Constructive

Cardinality (data modeling)

Cardinal number (linguistics)

10.1007/978-3-031-33498-6_3

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Citations (1)

Non-discrete k-order additivity of a set function and distorted measure

Fuzzy Sets and Systems (2021)

Aoi Honda Ryoji Fukuda Yoshiaki Okazaki

Additive function

Set function

Distortion (music)

10.1016/j.fss.2021.03.008

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Citations (5)

Comparison of Baselines in Extraction of F-Responses

Journal of Advanced Computational Intelligence and Intelligent Informatics (2013)

Ryoji Fukuda Aoi Honda Akiko Hachisuka Kenji Hachisuka

The objective of this study is to eliminate slow responses that displace baselines positively. This is a key component of an automated technique for determining parameters of F-waves in an evoked potential obtained by limb stimulation. We investigate five methods and compare them to F-wave repeater data through visual observation by experts.

Repeater (horology)

Component (thermodynamics)

10.20965/jaciii.2013.p0535

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Citations (1)

Estimation of Evaluation Function using Data of Several Sort Results

Journal of Japan Society for Fuzzy Theory and Intelligent Informatics (2011)

Ryoji Fukuda Kaoru Oka

評価関数があることが想定されるデータに対し，順位データが複数与えられた場合，そこに内在すると仮定する定量化された評価値を推定する手法を提案し、乱数を用いたシミュレーションと，グレー画像の明るさに関するアンケート調査をもとに，その有効性の検証を行った．この推定では，共通の評価値に一定の分布に従う観測誤差を加えたモデルに基づき，最尤推定により元の評価値を予測する手法を用いた．これにより，データにしかるべき多様性があれば，よい近似が可能であることが分かった．

10.3156/jsoft.23.604

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Citations (1)