Yoshiaki Okazaki

Fuzzy Systems Institute — Japan

Mathematics · Physical Sciences

9h-index361citations97works0.32yr avg
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Research Topics

Advanced Banach Space Theory(31), Approximation Theory and Sequence Spaces(16), Functional Equations Stability Results(11), advanced mathematical theories(11), Fuzzy Systems and Optimization(10)

Publications97 total

Measurable Closure of a Finitely-Additive Measure Space: An Analysis of Spaces Similar to Stone Spaces
Lecture notes in computer science·2025
Uniform structure and topological group properties of non-additive measure algebras
Fuzzy Sets and Systems·2025
An Axiomatic Definition of Non-discrete Möbius transform
Lecture notes in computer science·2024· 1 cited
Constructive Set Function and Extraction of a k-dimensional Element
Lecture notes in computer science·2023· 1 cited
Suitable L spaces for a k-additive set function
Fuzzy Sets and Systems·2022· 5 cited
Non-discrete k-order additivity of a set function and distorted measure
Fuzzy Sets and Systems·2021· 5 cited
On Two Generalizations for k-Additivity
Lecture notes in computer science·2021· 2 cited
Comparison of Decomposition Type Nonlinear Integrals Based on the Convergence Theorem
Journal of Japan Society for Fuzzy Theory and Intelligent Informatics·2020· 2 citedOpen Access
Properties of Set-Valued Stochastic Integrals and Differential Equations with Poisson Jump in a Banach Space
arXiv (Cornell University)·2020· 1 citedOpen Access
Submartingale property of set-valued stochastic integration associated with Poisson process and related integral equations on Banach spaces
arXiv (Cornell University)·2020· 3 citedOpen Access
Constructive k-Additive Measure and Decreasing Convergence Theorems
Lecture notes in computer science·2020· 6 cited
Convergence Theorems for Decomposition Type Non-linear Integral
Journal of Japan Society for Fuzzy Theory and Intelligent Informatics·2019Open Access
Generalization of inclusion–exclusion integral for nondiscrete monotone measure space
Fuzzy Sets and Systems·2018· 10 cited
$$L_1$$-space for Sugeno Integral
Lecture notes in computer science·2017· 1 cited
Theory of inclusion-exclusion integral
Information Sciences·2016· 37 cited
Inclusion-exclusion integral and t-norm based data analysis model construction
Communications in computer and information science·2016
Topological linear subspace of $L_0(\Omega, \mu)$ for the infinite measure $\mu$
Project Euclid (Cornell University)·2016
Inclusion-Exclusion Integral and t-norm Based Data Analysis Model Construction
Communications in computer and information science·2016· 6 cited
APPROXIMATIONS AND THE LINEARITY OF THE SHEPP SPACE
Kyushu Journal of Mathematics·2015· 1 citedOpen Access
On the Properties of Multi-Dimensional t-norms
Journal of Japan Society for Fuzzy Theory and Intelligent Informatics·2013Open Access
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Frequent Co-authors

Aoi Honda(19), Yasuji Takahashi(10), Itaru Mitoma(6), Ryoji Fukuda(6), Jinping Zhang(5), Hiroshi Sato(4), Susumu Okada(4), Shoumei Li(3), Aoi Kigami(2), Masaya Nohmi(2), Xia Wang(1), Jun Kawabe(1), Toshiaki Murofushi(1), Li Guan(1), Jinping Zhang(1), Ichirô Amemiya(1), Hiroshi Satō(1)