| Authors | Title | Publication Info | Year | Summary |
|---|---|---|---|---|
| Aoi Honda, Ryoji Fukuda, Yoshiaki Okazaki | Uniform structure and topological group properties of non-additive measure algebras | Fuzzy Sets and Systems 517 (2025) | 2025 |
This study investigates the uniform structure and topological group properties associated with non-additive set functions.
Open PDF |
| Ryoji Fukuda, Yoshiaki Okazaki, Aoi Honda | Measurable Closure of a Finitely Additive Measure Space | MDAI 2025 | 2025 |
This paper introduces the concept of measurable closure and analyzes the relationship between finitely additive and σ-additive measures.
Open PDF |
| Ryoji Fukuda, Aoi Honda, Yoshiaki Okazaki | An Axiomatic Definition of Non-discrete Möbius Transform | MDAI 2024 | 2024 |
The authors propose an axiomatic formulation of the non-discrete Möbius transform and construct the associated covering measure.
Open PDF |
| Ryoji Fukuda, Aoi Honda, Yoshiaki Okazaki | Constructive Set Function and Extraction of a k-dimensional Element | MDAI 2023, LNCS 13890 | 2023 |
A constructive representation of set functions using extraction spaces is developed, and a method for isolating k-dimensional components is proposed.
Open PDF |
| Ryoji Fukuda, Aoi Honda, Yoshiaki Okazaki | Null Additivization of a Monotone Measure on a Finite Set | MDAI 2022 Proceedings | 2022 |
The authors introduce a method of null additivization for monotone measures by explicitly handling null points.
Open PDF |
| Ryoji Fukuda, Aoi Honda, Yoshiaki Okazaki | On Two Generalizations for k-Additivity | MDAI 2021, LNCS 12898 | 2021 |
The paper examines two generalizations of k-additivity—constructive and formal—and analyzes their relationship.
Open PDF |
| Aoi Honda, Ryoji Fukuda, Yoshiaki Okazaki | Non-discrete k-order additivity of a set function and distorted measure | Fuzzy Sets and Systems 430 (2022) | 2022 |
This paper characterizes k-order additivity for non-discrete set functions using the non-discrete Möbius transform.
Open PDF |
| Ryoji Fukuda, Aoi Honda, Yoshiaki Okazaki | Comparison of Decomposition Type Nonlinear Integrals | Journal of Japan Society for Fuzzy Theory and Intelligent Informatics 32(4) | 2020 |
A unified comparison of decomposition-type nonlinear integrals and their convergence theorems.
Open PDF |
| Ryoji Fukuda, Aoi Honda, Yoshiaki Okazaki | Constructive k-Additive Measure and Decreasing Convergence Theorems | MDAI 2020, LNCS 12256 | 2020 |
The authors establish sufficient conditions for decreasing convergence theorems under constructive k-additivity.
Open PDF |
| Presenters | Title | Conference | Year | Summary |
|---|---|---|---|---|
| Aoi Honda, Ryoji Fukuda, Yoshiaki Okazaki | Measurable closure of a finitely additive measure space | Real Analysis Symposium (2025) | 2025 |
A discussion of measurable closure and its structure in finitely additive measure spaces.
Open PDF |
| Ryoji Fukuda, Aoi Honda, Yoshiaki Okazaki | Quasi-norm structure of L(μ) and the p.g.p. condition (tentative) | Mathematical Society of Japan, Autumn Meeting (2025) | 2025 |
An analysis of the quasi-norm structure of L(μ) and its relation to the p.g.p. condition.
Open PDF |
| Ryoji Fukuda, Aoi Honda, Yoshiaki Okazaki | Topological linear structure of Lp spaces for non-additive measures | Real Analysis Symposium (2024) | 2024 |
An investigation of uniform structures of Lp spaces under non-additive measures.
Open PDF |
| Aoi Honda, Ryoji Fukuda, Yoshiaki Okazaki | Uniform structure of L1(Ch) defined by Choquet integral (tentative) | Mathematical Society of Japan Annual Meeting (2024) | 2024 |
A study of the uniform structure of the function space L1(Ch) defined via the Choquet integral.
Open PDF |
| Ryoji Fukuda | Non-discretization of k-additive set functions and its applications | Joint Symposium on Real Analysis and Functional Analysis (2023) | 2023 |
A summary of non-discretization frameworks for k-additive set functions and their applications.
Open PDF |
| Aoi Honda, Ryoji Fukuda, Yoshiaki Okazaki | Uniformness of a non-additive measure... | Real Analysis Symposium (2023) | 2023 |
An analysis of the relationship between non-additive measures and the p.g.p. condition.
Open PDF |
| Ryoji Fukuda, Aoi Honda, Yoshiaki Okazaki | Frechet–Nikodym uniformness (tentative) | MSJ Autumn Meeting (2023) | 2023 |
A discussion on Frechet–Nikodym uniformness and convergence topology.
Open PDF |
| Ukyo Ashikari, Ryoji Fukuda | Null additivization of a non-additive set function with a simple zero point | Workshop: Challenge to Ambiguous Feelings (2022) | 2022 |
A method for transforming a non-additive measure into a null-additive one on finite sets.
Open PDF |
| Ryoji Fukuda, Aoi Honda, Yoshiaki Okazaki | Analysis of k-additive measures on non-discrete spaces | Workshop: Challenge to Ambiguous Feelings (2021) | 2021 |
A proposal for k-additive measures in non-discrete spaces and examination of decreasing convergence theorems.
Open PDF |
| Ryoji Fukuda, Aoi Honda, Yoshiaki Okazaki | Non-discretization of k-additive measures | Workshop: Challenge to Ambiguous Feelings (2019) | 2019 |
An explanation of constructive and formal approaches to non-discretization of k-additive measures.
Open PDF |
| Ryoji Fukuda, Aoi Honda, Yoshiaki Okazaki | Extensions of pan-integrals and monotone convergence theorems | Real Analysis Symposium (2019) | 2019 |
Extensions of the pan-integral to negative values and countable sums, and proofs of monotone convergence theorems.
Open PDF |
| Ryoji Fukuda, Aoi Honda, Yoshiaki Okazaki | Convex/concave extensions of set functions for decomposition-type nonlinear integrals | RIMS Kôkyûroku (2143), 40–50 (2019) | 2019 |
An analysis of convex and concave extensions used in decomposition-type nonlinear integrals.
Open PDF |
| Ryoji Fukuda, Aoi Honda, Yoshiaki Okazaki | Weakly convex integrals and monotone convergence theorem | Real Analysis Symposium (2018) | 2018 |
A discussion of weakly convex and convex integrals and their monotone convergence theorems.
Open PDF |