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## Li, Shoumei

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 Author ID: li.shoumei Published as: Li, Shoumei; Li, S.; Li, Shou-mei; Li, Shou Mei; Li, S. M.; Li, Sh. External Links: dblp
 Documents Indexed: 67 Publications since 1989, including 4 Books
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#### Co-Authors

 2 single-authored 14 Ogura, Yukio 9 Guan, Li 7 Zheng, Shiqiu 5 Feng, Lichao 4 Zhang, Junfei 3 Okazaki, Yoshiaki 3 Wang, Hongxia 3 Zhang, Jinping 3 Zhang, Zhongzhan 2 Denœux, Thierry 2 Kawabe, Jun 2 Li, Jun-Gang 2 Mitoma, Itaru 1 Bie, Y. H. 1 Bugarín, Alberto 1 Gil, María Angeles 1 Grzegorzewski, Przemysław 1 Hryniewicz, Olgierd 1 Inoue, Hiroshi 1 Kreinovich, Vladik Yakovlevich 1 Lawry, Jonathan 1 Li, Xiaohua 1 Liu, Xuecheng 1 Liu, Zhiyou 1 Mao, Xuerong 1 Murofushi, Toshiaki 1 Nguyen, Hung Trung 1 Ni, Baoyu 1 Proske, Frank Norbert 1 Puri, Madan Lal 1 Quost, Benjamin 1 Ralescu, Dan A. 1 Ren, Aihong 1 Song, Renming 1 Wang, Xun 1 Wang, Zhenyuan 1 Yang, Wenjuan 1 Zhong, Yu
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#### Serials

 7 Fuzzy Sets and Systems 4 International Journal of Approximate Reasoning 4 International Journal of Uncertainty, Fuzziness and Knowledge-Based Systems 3 Journal of Mathematical Analysis and Applications 2 Analysis Mathematica 2 Information Sciences 2 The Journal of Fuzzy Mathematics 2 Engineering Analysis with Boundary Elements 2 Abstract and Applied Analysis 2 Journal of Beijing University of Technology 2 Advances in Difference Equations 1 Computer Methods in Applied Mechanics and Engineering 1 Journal of the Franklin Institute 1 Ukrainian Mathematical Journal 1 The Annals of Probability 1 Journal of the Korean Mathematical Society 1 Journal of Multivariate Analysis 1 Tohoku Mathematical Journal. Second Series 1 Acta Mathematicae Applicatae Sinica 1 Statistics & Probability Letters 1 Bulletin pour les Sous Ensembles Flous et Leurs Applications 1 Stochastic Analysis and Applications 1 Acta Mathematicae Applicatae Sinica. English Series 1 Chinese Journal of Applied Probability and Statistics 1 Computational Mechanics 1 Journal of Theoretical Probability 1 Journal of Contemporary Mathematical Analysis. Armenian Academy of Sciences 1 Acta Mathematica Sinica. English Series 1 Scientiae Mathematicae Japonicae 1 Journal of Systems Science and Complexity 1 Theory and Decision Library. Series B: Mathematical and Statistical Methods 1 The European Physical Journal B. Condensed Matter and Complex Systems 1 Advances in Data Analysis and Classification. ADAC 1 Advances in Soft Computing 1 Science China. Mathematics 1 Advances in Intelligent and Soft Computing
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#### Fields

 42 Probability theory and stochastic processes (60-XX) 13 Measure and integration (28-XX) 8 Mathematical logic and foundations (03-XX) 7 Statistics (62-XX) 6 Real functions (26-XX) 5 Ordinary differential equations (34-XX) 5 Numerical analysis (65-XX) 4 Operator theory (47-XX) 4 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 4 Systems theory; control (93-XX) 3 General and overarching topics; collections (00-XX) 3 Computer science (68-XX) 2 Group theory and generalizations (20-XX) 2 Several complex variables and analytic spaces (32-XX) 2 Mechanics of deformable solids (74-XX) 2 Fluid mechanics (76-XX) 2 Operations research, mathematical programming (90-XX) 1 Combinatorics (05-XX) 1 Category theory; homological algebra (18-XX) 1 Functions of a complex variable (30-XX) 1 Partial differential equations (35-XX) 1 Dynamical systems and ergodic theory (37-XX) 1 Difference and functional equations (39-XX) 1 Functional analysis (46-XX) 1 Calculus of variations and optimal control; optimization (49-XX) 1 Information and communication theory, circuits (94-XX)

#### Citations contained in zbMATH Open

37 Publications have been cited 287 times in 164 Documents Cited by Year
Limit theorems and applications of set-valued and fuzzy set-valued random variables. Zbl 1348.60003
Li, Shoumei; Ogura, Yukio; Kreinovich, Vladik
2002
Strong laws of large numbers for independent fuzzy set-valued random variables. Zbl 1104.60307
Li, Shoumei; Ogura, Yukio
2006
Convergence of set valued sub- and supermartingales in the Kuratowski-Mosco sense. Zbl 0938.60031
Li, Shoumei; Ogura, Yukio
1998
Convergence of set-valued and fuzzy-valued martingales. Zbl 0933.60041
Li, Shoumei; Ogura, Yukio
1999
Set defuzzification and Choquet integral. Zbl 1113.03342
Ogura, Yukio; Li, Shoumei; Ralescu, Dan A.
2001
Separability for graph convergence of sequences of fuzzy-valued random variables. Zbl 0994.60035
Ogura, Yukio; Li, Shoumei
2001
Representation theorems, set-valued and fuzzy set-valued Itô integral. Zbl 1119.60039
Li, Shoumei; Ren, Aihong
2007
Fuzzy random variables, conditional expectations and fuzzy valued martingales. Zbl 0879.60001
Li, Shoumei; Ogura, Yukio
1996
Strong solution of Itô type set-valued stochastic differential equation. Zbl 1202.60089
Li, Jun Gang; Li, Shou Mei; Ogura, Yukio
2010
A convergence theorem of fuzzy-valued martingales in the extended Hausdorff metric $$\mathbf {H}_{\infty}$$. Zbl 1020.60036
Li, Shoumei; Ogura, Yukio
2003
Central limit theorems for generalized set-valued random variables. Zbl 1029.60022
Li, Shoumei; Ogura, Yukio; Proske, Frank N.; Puri, Madan L.
2003
Fuzzy set-valued Gaussian processes and Brownian motions. Zbl 1132.60033
Li, Shoumei; Guan, Li
2007
On the solutions of set-valued stochastic differential equations in M-type 2 Banach spaces. Zbl 1198.60027
Zhang, Jinping; Li, Shoumei; Mitoma, Itaru; Okazaki, Yoshiaki
2009
Quasi-stationarity and quasi-ergodicity of general Markov processes. Zbl 1309.60078
Zhang, Junfei; Li, Shoumei; Song, Renming
2014
Gaussian processes and martingales for fuzzy valued random variables with continuous parameter. Zbl 0988.60025
Li, Shoumei; Ogura, Yukio; Nguyen, Hung T.
2001
On limit theorems for random fuzzy sets including large deviation principles. Zbl 1060.60029
Ogura, Yukio; Li, Shoumei
2004
Asymptotic stability and boundedness of stochastic functional differential equations with Markovian switching. Zbl 1349.93329
Feng, Lichao; Li, Shoumei; Mao, Xuerong
2016
On set-valued stochastic integrals in an M-type 2 Banach space. Zbl 1155.60021
Zhang, Jinping; Li, Shoumei; Mitoma, Itaru; Okazaki, Yoshiaki
2009
Representation theorems for generators of BSDEs with monotonic and convex growth generators. Zbl 1312.60079
Zheng, Shiqiu; Li, Shoumei
2015
Set-valued and interval-valued stationary time series. Zbl 1332.62347
Wang, Xun; Zhang, Zhongzhan; Li, Shoumei
2016
The $$p$$th moment asymptotic stability and exponential stability of stochastic functional differential equations with polynomial growth condition. Zbl 1343.93070
Feng, Lichao; Li, Shoumei
2014
Laws of large numbers for weighted sums of fuzzy set-valued random variables. Zbl 1065.60027
Guan, Li; Li, Shoumei
2004
Frequency-calibrated belief functions: review and new insights. Zbl 1423.68503
Denoeux, Thierry; Li, Shoumei
2018
Large and moderate deviations of random upper semicontinuous functions. Zbl 1206.60030
Ogura, Yukio; Li, Shoumei; Wang, Xia
2010
Stochastic integral with respect to set-valued square integrable martingales. Zbl 1203.60060
Li, Shoumei; Li, Jungang; Li, Xiaohua
2010
Convergence theorems for set valued and fuzzy valued martingales and smartingales. Zbl 0917.60046
Li, Shoumei; Ogura, Yukio
1998
Fuzzy linear regression analysis of fuzzy valued variables. Zbl 0714.62064
Wang, Zhenyuan; Li, Shoumei
1990
A general method for convergence theorems of fuzzy set-valued random variables and its applications to martingales and uniform amarts. Zbl 1073.60033
Li, Shoumei; Zhang, Jinping
2005
Essential norm of weighted composition operators from analytic Besov spaces into Zygmund type spaces. Zbl 1426.30041
Hu, Q.; Li, S.; Zhang, Y.
2019
Ambiguous risk aversion under capacity. Zbl 1251.91040
Wang, Hongxia; Li, Shoumei
2012
Maximal (minimal) conditional expectation and European option pricing with ambiguous return rate and volatility. Zbl 1266.91111
Zhang, Junfei; Li, Shoumei
2013
Decomposition and representation theorem of set-valued amarts. Zbl 1135.60317
Li, Shoumei; Guan, Li
2007
A law of large numbers for exchangeable random variables on nonadditive measures. Zbl 1338.60093
Guan, Li; Li, Shoumei
2013
Some properties and convergence theorems of set-valued Choquet integrals. Zbl 1278.28007
Wang, Hongxia; Li, Shoumei
2013
Robust stability of a class of stochastic functional differential equations with Markovian switching. Zbl 1419.93061
Feng, Lichao; Li, Shoumei; Liu, Zhiyou; Zheng, Shiqiu
2016
An adaptive SVD-Krylov reduced order model for surrogate based structural shape optimization through isogeometric boundary element method. Zbl 1441.74187
Li, S.; Trevelyan, J.; Wu, Z.; Lian, H.; Wang, D.; Zhang, W.
2019
Simulation on the interaction between multiple bubbles and free surface with viscous effects. Zbl 1403.76089
Li, S.; Ni, Bao-yu
2016
Essential norm of weighted composition operators from analytic Besov spaces into Zygmund type spaces. Zbl 1426.30041
Hu, Q.; Li, S.; Zhang, Y.
2019
An adaptive SVD-Krylov reduced order model for surrogate based structural shape optimization through isogeometric boundary element method. Zbl 1441.74187
Li, S.; Trevelyan, J.; Wu, Z.; Lian, H.; Wang, D.; Zhang, W.
2019
Frequency-calibrated belief functions: review and new insights. Zbl 1423.68503
Denoeux, Thierry; Li, Shoumei
2018
Asymptotic stability and boundedness of stochastic functional differential equations with Markovian switching. Zbl 1349.93329
Feng, Lichao; Li, Shoumei; Mao, Xuerong
2016
Set-valued and interval-valued stationary time series. Zbl 1332.62347
Wang, Xun; Zhang, Zhongzhan; Li, Shoumei
2016
Robust stability of a class of stochastic functional differential equations with Markovian switching. Zbl 1419.93061
Feng, Lichao; Li, Shoumei; Liu, Zhiyou; Zheng, Shiqiu
2016
Simulation on the interaction between multiple bubbles and free surface with viscous effects. Zbl 1403.76089
Li, S.; Ni, Bao-yu
2016
Representation theorems for generators of BSDEs with monotonic and convex growth generators. Zbl 1312.60079
Zheng, Shiqiu; Li, Shoumei
2015
Quasi-stationarity and quasi-ergodicity of general Markov processes. Zbl 1309.60078
Zhang, Junfei; Li, Shoumei; Song, Renming
2014
The $$p$$th moment asymptotic stability and exponential stability of stochastic functional differential equations with polynomial growth condition. Zbl 1343.93070
Feng, Lichao; Li, Shoumei
2014
Maximal (minimal) conditional expectation and European option pricing with ambiguous return rate and volatility. Zbl 1266.91111
Zhang, Junfei; Li, Shoumei
2013
A law of large numbers for exchangeable random variables on nonadditive measures. Zbl 1338.60093
Guan, Li; Li, Shoumei
2013
Some properties and convergence theorems of set-valued Choquet integrals. Zbl 1278.28007
Wang, Hongxia; Li, Shoumei
2013
Ambiguous risk aversion under capacity. Zbl 1251.91040
Wang, Hongxia; Li, Shoumei
2012
Strong solution of Itô type set-valued stochastic differential equation. Zbl 1202.60089
Li, Jun Gang; Li, Shou Mei; Ogura, Yukio
2010
Large and moderate deviations of random upper semicontinuous functions. Zbl 1206.60030
Ogura, Yukio; Li, Shoumei; Wang, Xia
2010
Stochastic integral with respect to set-valued square integrable martingales. Zbl 1203.60060
Li, Shoumei; Li, Jungang; Li, Xiaohua
2010
On the solutions of set-valued stochastic differential equations in M-type 2 Banach spaces. Zbl 1198.60027
Zhang, Jinping; Li, Shoumei; Mitoma, Itaru; Okazaki, Yoshiaki
2009
On set-valued stochastic integrals in an M-type 2 Banach space. Zbl 1155.60021
Zhang, Jinping; Li, Shoumei; Mitoma, Itaru; Okazaki, Yoshiaki
2009
Representation theorems, set-valued and fuzzy set-valued Itô integral. Zbl 1119.60039
Li, Shoumei; Ren, Aihong
2007
Fuzzy set-valued Gaussian processes and Brownian motions. Zbl 1132.60033
Li, Shoumei; Guan, Li
2007
Decomposition and representation theorem of set-valued amarts. Zbl 1135.60317
Li, Shoumei; Guan, Li
2007
Strong laws of large numbers for independent fuzzy set-valued random variables. Zbl 1104.60307
Li, Shoumei; Ogura, Yukio
2006
A general method for convergence theorems of fuzzy set-valued random variables and its applications to martingales and uniform amarts. Zbl 1073.60033
Li, Shoumei; Zhang, Jinping
2005
On limit theorems for random fuzzy sets including large deviation principles. Zbl 1060.60029
Ogura, Yukio; Li, Shoumei
2004
Laws of large numbers for weighted sums of fuzzy set-valued random variables. Zbl 1065.60027
Guan, Li; Li, Shoumei
2004
A convergence theorem of fuzzy-valued martingales in the extended Hausdorff metric $$\mathbf {H}_{\infty}$$. Zbl 1020.60036
Li, Shoumei; Ogura, Yukio
2003
Central limit theorems for generalized set-valued random variables. Zbl 1029.60022
Li, Shoumei; Ogura, Yukio; Proske, Frank N.; Puri, Madan L.
2003
Limit theorems and applications of set-valued and fuzzy set-valued random variables. Zbl 1348.60003
Li, Shoumei; Ogura, Yukio; Kreinovich, Vladik
2002
Set defuzzification and Choquet integral. Zbl 1113.03342
Ogura, Yukio; Li, Shoumei; Ralescu, Dan A.
2001
Separability for graph convergence of sequences of fuzzy-valued random variables. Zbl 0994.60035
Ogura, Yukio; Li, Shoumei
2001
Gaussian processes and martingales for fuzzy valued random variables with continuous parameter. Zbl 0988.60025
Li, Shoumei; Ogura, Yukio; Nguyen, Hung T.
2001
Convergence of set-valued and fuzzy-valued martingales. Zbl 0933.60041
Li, Shoumei; Ogura, Yukio
1999
Convergence of set valued sub- and supermartingales in the Kuratowski-Mosco sense. Zbl 0938.60031
Li, Shoumei; Ogura, Yukio
1998
Convergence theorems for set valued and fuzzy valued martingales and smartingales. Zbl 0917.60046
Li, Shoumei; Ogura, Yukio
1998
Fuzzy random variables, conditional expectations and fuzzy valued martingales. Zbl 0879.60001
Li, Shoumei; Ogura, Yukio
1996
Fuzzy linear regression analysis of fuzzy valued variables. Zbl 0714.62064
Wang, Zhenyuan; Li, Shoumei
1990
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#### Cited by 196 Authors

 24 Li, Shoumei 11 Ogura, Yukio 10 Michta, Mariusz 8 Fei, Weiyin 8 Malinowski, Marek T. 8 Terán, Pedro 5 Feng, Lichao 5 Guan, Li 5 Nguyen, Hung Trung 4 Dubois, Didier 4 Labuschagne, Coenraad C. A. 4 Wang, Hongxia 3 Bongiorno, Enea G. 3 Cao, Jinde 3 Chalco-Cano, Yurilev 3 Colubi, Ana 3 Fu, Ke’ang 3 Gil, María Angeles 3 He, Guoman 3 Li, Jun-Gang 3 Ralescu, Dan A. 3 Román-Flores, Heriberto E. 3 Zhang, Jinping 3 Zheng, Shiqiu 2 Aiche, Farid 2 Aletti, Giacomo 2 Arefi, Mohsen 2 Feng, Yuhu 2 Gasiński, Leszek 2 González-Rodríguez, Gil 2 Ha, Minghu 2 Hesamian, Gholamreza 2 Inoue, Hiroshi 2 Kisielewicz, Michał 2 Marraffa, Valeria 2 Mitoma, Itaru 2 Nguyen, Pham Tri 2 Okazaki, Yoshiaki 2 Papageorgiou, Nikolaos S. 2 Quang, Nguyen Van 2 Schmelzer, Bernhard 2 Świątek, Kamil Łukasz 2 Taheri, Seyed Mahmood 2 Taheri, Seyed Mahmoud 2 Trutschnig, Wolfgang 2 Wang, Xizhao 2 Wang, Yangeng 2 Wei, Guo 2 Wu, Rangquan 2 Wu, Zhihui 2 Zhang, Hanjun 2 Zhang, Li-Xin 2 Zhang, Zhongzhan 2 Zhu, Yixia 1 Abbas, Moncef 1 Abbas, Umber 1 Agliardi, Elettra 1 Agliardi, Rossella 1 Alonso de la Fuente, Miriam 1 Alsaadi, Fuad Eid S. 1 Al-saedi, Ahmed Eid Salem 1 Annamalai, Anguraj 1 Arumugam, Vinodkumar 1 Balch, Michael Scott 1 Băleanu, Dumitru I. 1 Bandyopadhyay, Abhirup 1 Beck, Jan B. 1 Beranger, Boris 1 Beresteanu, Arie 1 Bilokon, Paul Alexander 1 Bogdan, Krzysztof 1 Candeloro, Domenico 1 Capasso, Vincenzo 1 Castaing, Charles 1 Cattaneo, Marco E. G. V. 1 Chang, Chia-Wen 1 Chen, Jiqiang 1 Choi, Gyeong Suk 1 Colonius, Fritz 1 Couso, Inés 1 Denœux, Thierry 1 Destercke, Sébastien 1 Driouchi, Tarik 1 Edalat, Abbas 1 Fan, Shengjun 1 Fei, Chen 1 Feinstein, Zachary 1 Figueroa-García, Juan Carlos 1 Gao, Yongling 1 Gashi, Bujar 1 Ghasemi, Reza 1 Godet-Thobie, Christiane 1 Hao, Zhiqi 1 Hoang, Thi Duyen 1 Hong, Dug Hun 1 Hong, Jiarong 1 Joo, Sang Yeol 1 Kandasamy, Banupriya 1 Kar, Samarjit 1 Katagiri, Hideki ...and 96 more Authors
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#### Cited in 64 Serials

 38 Fuzzy Sets and Systems 13 Information Sciences 9 Journal of Mathematical Analysis and Applications 8 International Journal of Approximate Reasoning 7 Stochastic Analysis and Applications 7 International Journal of Uncertainty, Fuzziness and Knowledge-Based Systems 6 Statistics & Probability Letters 3 Tohoku Mathematical Journal. Second Series 3 Computational Statistics and Data Analysis 2 Journal of the Franklin Institute 2 Kybernetika 2 Systems & Control Letters 2 Optimization 2 Soft Computing 2 Stochastics and Dynamics 2 Fuzzy Optimization and Decision Making 2 Advances in Difference Equations 1 Applicable Analysis 1 Computer Methods in Applied Mechanics and Engineering 1 International Journal of Control 1 International Journal of General Systems 1 Mathematical Methods in the Applied Sciences 1 Metrika 1 The Annals of Probability 1 Applied Mathematics and Computation 1 Czechoslovak Mathematical Journal 1 Illinois Journal of Mathematics 1 Journal of Computational and Applied Mathematics 1 Journal of Differential Equations 1 Journal of Econometrics 1 Journal of Multivariate Analysis 1 Kybernetes 1 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 1 Operations Research 1 Proceedings of the American Mathematical Society 1 Ricerche di Matematica 1 Theoretical Computer Science 1 Acta Mathematicae Applicatae Sinica. English Series 1 Asia-Pacific Journal of Operational Research 1 Applied Mathematics Letters 1 Mathematical and Computer Modelling 1 Communications in Statistics. Theory and Methods 1 European Journal of Operational Research 1 Linear Algebra and its Applications 1 Stochastic Processes and their Applications 1 Applied Mathematics. Series B (English Edition) 1 Statistical Papers 1 Electronic Journal of Probability 1 Electronic Communications in Probability 1 Finance and Stochastics 1 Abstract and Applied Analysis 1 Journal of Inequalities and Applications 1 Acta Mathematica Sinica. English Series 1 Quantitative Finance 1 Journal of Systems Science and Complexity 1 OR Spectrum 1 Central European Journal of Mathematics 1 Mediterranean Journal of Mathematics 1 Nonlinear Analysis. Hybrid Systems 1 Advances in Fuzzy Systems 1 Set-Valued and Variational Analysis 1 Symmetry 1 Statistics and Computing 1 Open Mathematics
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#### Cited in 25 Fields

 104 Probability theory and stochastic processes (60-XX) 27 Measure and integration (28-XX) 22 Statistics (62-XX) 19 Mathematical logic and foundations (03-XX) 16 Computer science (68-XX) 16 Systems theory; control (93-XX) 14 Real functions (26-XX) 13 Ordinary differential equations (34-XX) 9 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 8 Functional analysis (46-XX) 8 Operations research, mathematical programming (90-XX) 6 Dynamical systems and ergodic theory (37-XX) 6 Numerical analysis (65-XX) 5 Operator theory (47-XX) 4 Partial differential equations (35-XX) 3 Calculus of variations and optimal control; optimization (49-XX) 3 General topology (54-XX) 3 Information and communication theory, circuits (94-XX) 2 Integral equations (45-XX) 2 Global analysis, analysis on manifolds (58-XX) 1 Linear and multilinear algebra; matrix theory (15-XX) 1 Group theory and generalizations (20-XX) 1 Potential theory (31-XX) 1 Mechanics of deformable solids (74-XX) 1 Geophysics (86-XX)