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A Nonlinear Multiregression Model Based on the Choquet Integral for Analyzing the Course Records

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Emerging Computation and Information teChnologies for Education

Part of the book series: Advances in Intelligent and Soft Computing ((AINSC,volume 146))

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Abstract

The score of the final examination of a student has some relation to the previous records, such as the average score of quizzes, the scores of tests, the number of incomplete homework, and the number of absent class meetings. The relation is usually nonlinear since there are some interactions among the inherent but covert contributions from these previous records towards the final examination. Regarding the score of the final examination as the objective attribute and the previous records as the predictive attributes, the nonlinear multiregression based on the Choquet integral with respect to a nonadditive measure is a proper tool to catch the interaction and, therefore, describe above-mentioned relation well. In this paper, a 2-interactive measure is used as the nonadditive measure to reduce the computational complexity.

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Author information

Authors and Affiliations

  1. Department of Mathematics, University of Nebraska at Omaha, USA, Omaha

    Zhenyuan Wang

  2. College of Information Science and Technology, University of Nebraska at Omaha, USA, Omaha

    Yan Nian & Yong Shi

  3. Nebraska Furniture Mart (a Berkshire Hathaway Company), 700 S 72nd St, Omaha, NE, USA

    Yan Nian

  4. Research Center on Fictitious Economy & Data Science, Chinese Academy of Sciences, China, Beijing

    Jing Chu & Yong Shi

Authors
  1. Zhenyuan Wang
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  2. Yan Nian
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  3. Jing Chu
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  4. Yong Shi
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Editor information

Editors and Affiliations

  1. , School of Com. and Inf. Eng., Zhejiang Gongshang University, Hangzhou, 310018, China, People's Republic

    Elwin Mao

  2. , School of Computer Science & Technology, University of Science & Technology of Ch, Jinzhai Road NO. 96, Hefei, 230027, Anhui, China, People's Republic

    Linli Xu

  3. , Information Technology Department, Zhejiang Economic & Trade Polytechnic, Xuelin Street 280, Hangzhou, 310018, China, People's Republic

    Wenya Tian

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© 2012 Springer-Verlag GmbH Berlin Heidelberg

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Wang, Z., Nian, Y., Chu, J., Shi, Y. (2012). A Nonlinear Multiregression Model Based on the Choquet Integral for Analyzing the Course Records. In: Mao, E., Xu, L., Tian, W. (eds) Emerging Computation and Information teChnologies for Education. Advances in Intelligent and Soft Computing, vol 146. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-28466-3_42

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  • DOI: https://doi.org/10.1007/978-3-642-28466-3_42

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-642-28465-6

  • Online ISBN: 978-3-642-28466-3

  • eBook Packages: EngineeringEngineering (R0)

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