List of Publications (Yoshiaki Okazaki)

1. Aoi Honda and Yoshiaki Okazaki, Generalization of inclusion-exclusion integral for
nondiscrete monotone measure space, Fuzzy Sets and Systems, to appear (availableon line at www.sciencedirect.com) (IF=2.675)
2. Aoi Honda and Yoshiaki Okazaki, L_1 space for Sugeno integral, Lecture Notes inArtificial Intelligence 10571, Procedings of the 14-th International Conference on
Modeling Decisions for Artificial Intelligence, pp.63-73, 2017.
3. Aoi Honda and Yoshiaki Okazaki, Theory of inclusion-exclusion integral,Information Sciences, 376, pp.136-147, 2017 (IF=3.643).
4. Aoi Honda and Yoshiaki Okazaki, Inclusion-exclusion integral and t-norm based
data analysis model construction, Communications in Computer and Information
Science 610, Information Processing and Management of Uncertainty inKnowledge-based Systems, pp.65-77, 2016.
5. Aoi Honda and Yoshiaki Okazaki, L_p space and its dual for a fuzzy measure,
Lecture Notes in Artificial Intelligence 9880, Proceedings of the 13-th International
Conference on Modeling Decisions for Artificial Intelligence, pp.51-62, 2016.
6. Yoshiaki Okazaki, Topological linear subspace ofL_0(¥Omega, ¥mu) for theinfinite measure ¥mu, Nihonkai Math. J., 27, pp.147-154, 2016..
7. Aoi Honda, Yoshiaki Okazaki and Hiroshi Sato, Approximation and the linearity ofShepp space, Kyushu Journal of Mathematics, Vol. 69, No. 1, pp.173-194, March
2015 (IF=0.359)
8. Aoi Honda, Yoshiaki Okazaki and Hiroshi Sato
A new sequence space Lambda_p(f)Proc. of the International Symposium on Banach and Function Spaces IV,
pp.135-147, January 2014
9. Masaya Nohmi, Aoi Honda and Yoshiaki Okazaki, On the Properties ofMulti-dimensional t-norms, Journal of Japan Society for Fuzzy Theory andIntelligent Informatics, Vol. 25, No. 5, pp.834-841, October 2013.

10. Jinping Zhang, Itaru Mitoma and Yoshiaki Okazaki
Set-valued stochastic integrals with respect to Poisson processes in a Banach space
Internat. J. Approx. Reason. Vol. 54, No. 3, pp.404-417, 2013 (IF=1.729)
11. Aoi Honda, Yoshiaki Okazaki and Hiroshi SatoMetrics on the sequence space Lambda_p(f)Kyushu Journal of Mathematics, Vol. 66, No. 2, pp.365-374, August 2012 (IF=0.359)
12. Masaya Nohmi, Aoi Honda and Yoshiaki Okazaki
A trust evaluation of networks utilizing matrix operations based on t-norms andt-conorms
Journal of Advanced Computational Intelligence and Intelligent Informatics, Vol. 16,
No. 1, pp.154-161, January 2012
13. Masaya Nohmi, Aoi Honda and Yoshiaki Okazaki
On generating functions of two-dimensional T-norms
Advances in Intelligent and Soft Computing 100, Non-linear Mathematics for
Uncertainty and its Applications, pp.627-634, Springer, 2011
14. Aoi Honda, Yoshiaki Okazaki and Hiroshi Sato
Doubling condition and linearity of the sequence space Lambda_p(f)Kyushu Journal of Mathematics, Vol. 65, No. 2, pp.335-347, April 2011 (IF=0.359)
15. Aoi Honda, Yoshiaki Okazaki and Hiroshi Sato
A new sequence space defined by an L2 function
Proc. of the International Symposium on Banach and Function Spaces III,
pp.367-372, Yokohama Publishers, 2011
16. Aoi Honda and Yoshiaki Okazaki
Characterization for entropy and solution of set function on lattice
Jounal of Phisics, Vol. 201, Mathematical Aspects of Generalized Entropies andtheir Applications, 012014, IOP Publishing, April 2010
17. Itaru Mitoma, Yoshiaki Okazaki and Jinping Zhang
Set-valued stochastic differential equation in M-type 2 Banach space
Commun. Stoch. Anal., Vol. 4, No. 2, pp.215-237, 2010

18. Masaya Nohmi, Aoi Honda and Yoshiaki Okazaki, Matrix operations derived byt-norm and by t-conorm and their applications, Journal of Japan Society for Fuzzy
Theory and Intelligent Informatics, Vol. 22, No. 4, pp.66-74, August 2010.
19. Jinping Zhang, Shoumei Li, Itaru Mitoma and Yoshiaki Okazaki
On the solutions of set-valued stochastic differential equations in M-type 2 Banachspaces
Tohoku Math. J. (2), Vol. 61, No. 3, pp.417-440, 2009 (IF=0.588)
20. Jinping Zhang, Shoumei Li, Itaru Mitoma and Yoshiaki Okazaki
On set-valued stochastic integrals in an M-type 2 Banach space
J. Math. Anal. Appl., Vol. 350, No. 1, pp.216-233, 2009 (IF=1.05)
21. Aoi Honda, Yoshiaki Okazaki and Hiroshi Sato
Equivalence of non-negative random translates of an IID random sequence
Taiwanese Journal of Mathematics, Vol.13, No.1, pp.269-286, April 2009 (IF=0.67)
22. Aoi Honda and Yoshiaki Okazaki
Axiomatization of Shapley value of Faige and Kern type on set systems
Journal of Advanced Computational Intelligence and Intelligent Informatics, Vol.12,
No.5, pp.409-415, Fiji Technology Press, April 2008
23. Aoi Honda, Yoshiaki Okazaki and Hiroshi Sato
An Lp-function determines lp
Proceedings of the Japan Academy, Vol. 84, Series A Mathematics, pp.39-41, 2008
24. Aoi Honda, Yoshiaki Okazaki and Hiroshi Sato
A class of sequence spaces defined by a non-negative integrable function
Proc. of the International Symposium on Banach and Function Spaces II, pp.309-318,
Yokohama Publishers, 2008
25. Aoi Honda and Yoshiaki Okazaki
An axiomatization of Shapley values of games on set systems
Lecture Notes in Artificial Intelligence, Modeling Decisions for Artificial Intelligence,
pp.185-192, Springer, April 2007
26. Aoi Honda and Yoshiaki Okazaki
Generalization of Shanon entropy of capacities on set systems

Applied Functional Analysis, Information Science and Related Topics, pp.89-98,
Yokohama Publishers, Aprol 2007
27. Aoi Honda and Yoshiaki Okazaki
An Estimation of the fuzzy measure by the relative entropy (in Japanese)
Journal of Japan Society for Fuzzy Theory and Intelligent Informatics, Vol.19, No.1,pp.79-86, 2007
28. Aoi Honda, Yoshiaki Okazaki
Identification of Fuzzy Measures with Distorted Probability Measure
Journal of Advanced Computational Intelligence and intelligent Informatics, Vol.9,
No.5, pp.467-476, 2005
29. Aoi Honda, Yoshiaki Okazaki and Hiroshi Sato
Absolute continuity of discrete one-sided translation
Proc. of the International Symposium on Banach and Function Spaces, pp.225-241,
Yokohama Publishers, 2004
30. Aoi Honda, Yoshiaki Okazaki
Supports of a fuzzy measure
Bulletin of the Kyushu Institute of Technology, Pure and Applied
Mathematics,No48, pp.9-13,March 2001
31. Aoi Honda, Yoshiaki Okazaki
Characterization of 0-1 possibility measure on topological space
Bulletin of the Kyushu Institute of Technology, Pure and App.lied
Mathematics,No47, pp.1-3,March 2000
32. Aoi Honda, Yoshiaki Okazaki
Invariance of fuzzy measure
Bulletin of the Kyushu Institute of Technology, Pure and App.lied
Mathematics,No46, pp.1-8,March 1999
33. Aoi Honda, Yoshiaki Okazaki, Yasuji Takahashi
Generalization of the Hlawka's inequality
Bulletin of the Kyushu Institute of Technology, Pure and App.lied
Mathematics,No45, pp.9-15,March 1998

34. Aoi Honda, Yoshiaki Okazaki
The equivalence of the Rademacher translation of an infinite product measure
Bulletin of the Kyushu Institute of Technology, Mathematics, Natural Science,No44,pp.35-46,March 1997
35. Aoi Kigami(Honda), Yoshiaki Okazaki, Yasuji Takahashi
A generalization of the Hanner's inequality
Bulletin of the Kyushu Institute of Technology, Pure and Applied
Mathematics,No43, pp.9-13,March 1996
36. Aoi Kigami(Honda), Yoshiaki Okazaki, Yasuji Takahashi
A generalization ofthe Hanner's inequality and the type 2 (cotype 2) constant of aBanach space
Bulletin of the Kyushu Institute of Technology, Pure and AppliedMathematics,No42, pp.29-34,March 1995
37. Hong Chul Chae, Kenji Handa, Itaru Mitoma, Yoshiaki Okazaki
Invariant nuclear space of a second quantization operator
Hiroshima Mathematical Journal,Vol.25,No.3,pp.541-559,November 1995
(IF=0.289)
38. Yoshiaki Okazaki, Hiroshi Sato
Distinguishing a sequence of random variables from a random translate of itself
The Annals of Probability, Vol.22,No.2,pp.851-863, 1994 (IF=1.38)
39. Yoshiaki Okazaki, Yasuji Takahashi
The converse of Minlos' theorem
Publ. R.I.M.S.,Kyoto Univ.,Vol.30,No.5,pp.851-863,1994 (IF=0.807)
40. Yoshiaki Okazaki
On equivalence of product measure by symmetric random L4-translation
J. of Functional Analysis, Vol. 115,No. 1,pp.100-103, July 1993 (IF=1.252)
41. Yoshiaki Okazaki, Yasuji Takahashi
The converse of Badrikian's theorem
Mathematical Journal of Okayama University, Vol. 35, pp.229-234, 1993

42. Yoshiaki Okazaki, Yasuji Takahashi
The structure of the quasi-invariant set of a linear measure
Publ. R.I.M.S., Kyoto Univ.,Vol.27,No.1,pp.141-148,1991 (IF=0.807)
43. Yoshiaki Okazaki, Yasuji Takahashi
p-uniform measures on linear spaces(0<=p<∞)
Hokkaido Math. J., Vol.18,No.2, pp.285-299,1989 (IF=0.256)
44. Yoshiaki Okazaki, Susumu. Okada
Injective absolutely summing operators
Math. Proc. Cambridge Phil. Soc., Vol.103,No.3, pp.497-502,1988 (IF=0.683)
45. Yoshiaki Okazaki, Yasuji Takahashi
On the relationship between γ p-Randnifying operators and other operator ideals inBanach space of type pMathematische Annalen, Vol.281,No.1, pp.145-156,1988 (IF=1.378)
46. Yoshiaki Okazaki, Yasuji Takahashi
On some properties of Gaussia covariance operators in Banach spaces
Math. J. of Okayama Univ. ,Vol.29,No.1,pp.221-232,1987
47. Yoshiaki Okazaki, Yasuji Takahashi
On some properties of γp-summing operators in Banach spaces
Hokkaido Math. J., Vol.16,No.1, pp.57-70,1987 (IF=0.256)
48. Yoshiaki Okazaki, Yasuji Takahashi
Nuclear subspace of L0 and the kernel of a linear measure
J. of Multivariate Analysis, Vol.22,No.1, pp.65-73,1987 (IF=1.063)
49. Yoshiaki Okazaki, Yasuji Takahashi
The ergodicity of the convolution μ*ν on a vector space
Publ. R.I.M.S., Kyoto Univ.,Vol.23,No.4,pp.723-730,1987 (IF=0.807)
50. Yoshiaki Okazaki, Yasuji Takahashi
Uniform measure on linear space
Hokkaido Math. J., Vol.16,No.3, pp.213-222,1987 (IF=0.256)

51. Yoshiaki Okazaki, Yasuji Takahashi
0-1 laws for kernel of a linear uniform measure
Hokkaido Math. J., Vol.16,No.3, pp.223-234,1987 (IF=0.256)
52. Yoshiaki Okazaki, Yasuji Takahashi
Separating kernels of a sylindrical measure
Statistics and Probability Letters, Vol.5,No.6, pp.397-399,1987 (IF=0.531)
53. Yoshiaki Okazaki, Yasuji Takahashi
Pre-Gaussian cylindrical measures on Banach spaces
J. Fac. Liberal Arts, Yamaguchi Univ., Natur. Sci., Vol. 20, pp.7-10,1986
54. Yoshiaki Okazaki, Yasuji Takahashi
On Banach space satisfying Grothendieck's theorem
J. Fac. Liberal Arts, Yamaguchi Univ., Natur. Sci., Vol. 20, pp.11-13, 1986
55. Yoshiaki Okazaki, Yasuji Takahashi
0-1 laws of a probability measure on a locally convex space
Publ. R.I..M.S.,Kyoto Univ.,Vol.22,No.1,pp.97-102,1986 (IF=0.807)
56. Yoshiaki Okazaki, Yasuji Takahashi
On Persson's theorem concerning p-nuclear operators
Proc. of Japan Academy, Vol.62, No.3,pp.94-96,1986
57. Yoshiaki Okazaki, Yasuji Takahashi
Accessible cylindrical measure and Bochner's theorem
J. of Functional Analysis, Vol. 67,No. 1, pp.115-125, July 1986 (IF=1.252)
58. Yoshiaki Okazaki, Yasuji Takahashi
Characterization of subspaces, quotients and subspaces of quotients of Lp
Hokkaido Math. J., Vol.15,No.2, pp.233-241,1986 (IF=0.256)
59. Yoshiaki Okazaki
Stochastic basis in Frechet space
Mathematische Annalen, Vol.274,No.3,pp.379-383,1986 (IF=1.378)
60. Yoshiaki Okazaki
Boundedness of closes linear operator T satisfying R(T)⊂D(T)Proc. of Japan Academy, Vol.62, No.6,pp.294-296,1986

61. Yoshiaki Okazaki, Yasuji Takahashi
Hilbertian support of p-stable measures on Banach spaces
J. Fac. Liberal Arts, Yamaguchi Univ., Natur. Sci., Vol. 19, pp.1-4,1985
62. Yoshiaki Okazaki, Yasuji Takahashi
Accessible cylindrical measure on locally convex spaces
Hokkaido Math. J., Vol.14,No.2, pp.163-168,1985 (IF=0.256)
63. Yoshiaki Okazaki
Bochner's theorem in measurable dual of type 2 Banach space
Annals of probability, Vol.13, No.3, pp.1022-1023, 1985 (IF=1.38)
64. Yoshiaki Okazaki
Equivalent-Singular dichotomy for quasi-invariant ergodic measures
Ann. Inst. H. Poincare, Ser. B, Vol.21,No.4,pp.393-400,1985
65. Yoshiaki Okazaki, Yasuji Takahashi
On operators related to p-stable measure in Banach spaces
Math. J. of Okayama Univ. ,Vol.27,No.1,pp.185-195,1985
66. Yoshiaki Okazaki
Continuious approximation of random function
J. of Math. Anal. and Appl.,Vol.93,No.2,pp.397-399,1983 (IF=1.05)
67. Yoshiaki Okazaki
Orthogonal expansions of vectors in a Hilbert space for non-Gaussian measures
Proceedings of the American Mathematical Society, Vol.86,No.4,pp.638-640,1982
68. Yoshiaki Okazaki
Bochner's theorem on measurable linear functionals of a Gaussian measure
The Annals of Probability, Vol.9,pp.663-664,1981 (IF=1.38)
69. Yoshiaki Okazaki
Bochner problem on a topological vector space with a quasi-invariant measure
Memoirs of the Faculty of Science. Kyushu University. Series A.
Mathematics ,Kyushu Univ., Vol.35, No.1, pp.1-26,1981

70. Yoshiaki Okazaki
Bochner problem on a topological vector space with a quasi-invariant measure
Proc. of the Japan Acad. Ser. A, Vol.57,No.1,pp25-28,1981
71. Kiyoshi Ikeshoji, Yoshiaki Okazaki
Pontryagin duality for nonabelian locally compact groups
Memoirs of the Faculty of Science. Kyushu University. Series A.
Mathematics ,Kyushu Univ., Vol.34, No.2, pp.357-362,1980
72. Kiyoshi Ikeshoji, Itaru Mitoma, Yoshiaki Okazaki
The Eberlein theorem on noncommutative locally compact groups
Memoirs of the Faculty of Science. Kyushu University. Series A.
Mathematics ,Kyushu Univ., Vol.34, No.2, pp.347-349,1980
73. Yoshiaki Okazaki
Admissible translates of measures on a topological group
Memoirs of the Faculty of Science. Kyushu University. Series A.
Mathematics ,Kyushu Univ., Vol.34, No.1, pp.79-88,1980
74. Yoshiaki Okazaki
Harmonic analysis in a Banach space
Memoirs of the Faculty of Science. Kyushu University. Series A.
Mathematics ,Kyushu Univ., Vol.34, No.1, pp.27-69,1980
75. Yoshiaki Okazaki
Quotient and induced topologies of the $S$-topology on a Banach space
Memoirs of the Faculty of Science. Kyushu University. Series A.
Mathematics ,Kyushu Univ., Vol.34, No.1, pp.23-27,1980
76. Yoshiaki Okazaki
Gaussian measure on topological vector space
Memoirs of the Faculty of Science. Kyushu University. Series A.
Mathematics ,Kyushu Univ., Vol.34, No.1, pp.1-21,1980
77. Yoshiaki Okazaki
L0-embedding of a linear metric space
Memoirs of the Faculty of Science. Kyushu University. Series A.
Mathematics ,Kyushu Univ., Vol.33, No.2, pp.391-398,1979

78. Yoshiaki Okazaki
Wiener integral by stable random measure
Memoirs of the Faculty of Science. Kyushu University. Series A.
Mathematics ,Kyushu Univ., Vol.33, No.1, pp.1-70,1979
79. Susumu Okada, Yoshiaki Okazaki
Projective limit of infinite Radon measures
Australian Mathematical Society. Journal. Series A. Pure Mathematics andStatistics, Vol.25,No.3, pp.328-331,1978
80. Susumu Okada, Yoshiaki Okazaki
On measure-compactness and Borel measure-compactness
Osaka Journal of Mathematics, Osaka Univ., Vol.15,No.1,pp.183-191,1978(IF=0.368)
81. Ichiro Amamiya, Susumu Okada, Yoshiaki Okazaki
Pre-Radon measures on topological spaces
Kodai Mathematical Journal, Vol.1,No.1,pp.101-132,1978 (IF=0.312)
82. Itaru Mitoma, Susumu Okada, Yoshiaki Okazaki
Cylindrical σ-algebra and cylindrical measure
Osaka Journal of Mathematics ,Vol.14, No.3, pp.635-647, 1977 (IF=0.368)
83. Hiroshi Sato, Yoshiaki Okazaki
Separabilities of a Gaussian Radon measure
Annales de l'Institut Henri Poincare. Section B. Vol.11, No.3, pp.287-298, 1975
84. Yoshiaki Okazaki
On the cylindrical $¥sigma $-algebra and the Borel field of an LF space
Memoirs of the Faculty of Science. Kyushu University. Series A.
Mathematics ,Kyushu Univ., Ser.A, Vol.28, pp.173-175,1974