In financial markets, many individuals also face background risk which may affect investors' investments. This article proposes an uncertain portfolio selection model with background risk based on the uncertainty theory. Under the condition that the returns of assets obey linear uncertainty distributions, we obtain a specific uncertain portfolio selection model with background risk. Finally, a numerical example is given to illustrate the idea and application of the model.
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Cent Univ Finance & Econ, Business Sch, Beijing 100081, Peoples R ChinaCent Univ Finance & Econ, Business Sch, Beijing 100081, Peoples R China
Xue, Li
Di, Hao
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Peking Univ, Harvest Fund Management Co Ltd, Guanghua Sch Management, Beijing 100871, Peoples R ChinaCent Univ Finance & Econ, Business Sch, Beijing 100081, Peoples R China
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Zhongnan Univ Econ & Law, Sch Stat & Math, Wuhan 430073, Peoples R ChinaZhongnan Univ Econ & Law, Sch Stat & Math, Wuhan 430073, Peoples R China
Lv, Linjing
Zhang, Bo
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Zhongnan Univ Econ & Law, Sch Stat & Math, Wuhan 430073, Peoples R ChinaZhongnan Univ Econ & Law, Sch Stat & Math, Wuhan 430073, Peoples R China
Zhang, Bo
Peng, Jin
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Huanggang Normal Univ, Inst Uncertain Syst, Huanggang 438000, Peoples R ChinaZhongnan Univ Econ & Law, Sch Stat & Math, Wuhan 430073, Peoples R China
Peng, Jin
Ralescu, Dan A.
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Univ Cincinnati, Dept Math Sci, Cincinnati, OH 45221 USAZhongnan Univ Econ & Law, Sch Stat & Math, Wuhan 430073, Peoples R China
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Zhongnan Univ Econ & Law, Sch Stat & Math, Wuhan 430073, Peoples R ChinaZhongnan Univ Econ & Law, Sch Stat & Math, Wuhan 430073, Peoples R China
Feng, Yi
Zhang, Bo
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Zhongnan Univ Econ & Law, Sch Stat & Math, Wuhan 430073, Peoples R ChinaZhongnan Univ Econ & Law, Sch Stat & Math, Wuhan 430073, Peoples R China
Zhang, Bo
Peng, Jin
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Huanggang Normal Univ, Inst Uncertain Syst, Huanggang 438000, Peoples R ChinaZhongnan Univ Econ & Law, Sch Stat & Math, Wuhan 430073, Peoples R China
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South China Univ Technol, Sch Math, Guangzhou 510640, Guangdong, Peoples R ChinaSouth China Univ Technol, Sch Math, Guangzhou 510640, Guangdong, Peoples R China
Deng, Xue
Liu, Guandong
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South China Univ Technol, Sch Math, Guangzhou 510640, Guangdong, Peoples R ChinaSouth China Univ Technol, Sch Math, Guangzhou 510640, Guangdong, Peoples R China