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An Extension Preprocessing Model for Multi-Criteria Decision Making Based on Basic-Elements Theory

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Data Science (ICDS 2019)

Part of the book series: Communications in Computer and Information Science ((CCIS,volume 1179))

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Abstract

Multiple Criteria Decision-Making (MCDM) are often contradict between their goals and criteria. Compromised or satisfied solutions usually cannot meet the practical needs well. We found the problem lies on the assumption that goals and constraints are fixed and reasonable but in fact they are extendable in practice. We present an extension preprocessing model for MCDM based on basic-elements theory. Several steps for the preprocessing of MCDM is introduced to extend the constraints, criteria or goals to obtain win-win solutions by implication analysis and transformations. It gives a way for exploring win-win solutions by extending the multi-direction information and knowledge of the constraints or goals supported by data mining and Extenics.

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References

  1. Zeleny, M.: Multiple Criteria Decision making. Springer, Kyoto (1975). https://doi.org/10.1007/1-4020-0611-X

  2. Yu, P.-L., Lee, Y.R., Stam, A.: Multiple Criteria Decision Making: Concepts, Techniques, and Extensions. Plenum, New York (1985)

    Book  Google Scholar 

  3. Shi, Y.: Multiple Criteria & Multiple Constraint Levels Linear Programming. World Scientific Publishing Company, River Edge (2001)

    Google Scholar 

  4. Saaty, T.L.: Creative Thinking, Problem Solving & Decision Making, 4th edn. RWS Publications, Pittsburgh (2010)

    Google Scholar 

  5. Coello, C., Van Veldhuizen, D.A., Lamont, G.B.: Evolutionary Algorithms for Solving Multi-Objective Problems, 2nd edn. Kluwer Academic, Dordrecht (2007)

    Google Scholar 

  6. Zimmermann, H.-J.: Fuzzy Sets, decision-making and Expert Systems. Kluwer Academic Publisher, Boston (1987)

    Book  Google Scholar 

  7. Carlsson, C., Fuller, R.: Fuzzy multiple criteria decision making: recent developments. Fuzzy Sets Syst. 78, 139–153 (1996)

    Google Scholar 

  8. Gou, X., Xu, Z., Liao, H.: Hesitant fuzzy linguistic possibility degree-based linear assignment method for multiple criteria decision-making. Int. J. Inf. Technol. Decis. Making 18(01), 35–63 (2019)

    Article  Google Scholar 

  9. Zeng, S., Chen, J., Li, X.: A hybrid method for pythagorean fuzzy multiple-criteria decision making. Int. J. Inf. Technol. Decis. Making 15(02), 403–422 (2016)

    Article  Google Scholar 

  10. Teng, F., Liu, P., Zhang, L., Zhao, J.: Multiple attribute decision-making methods with unbalanced linguistic variables based on Maclaurin symmetric mean operators. Int. J. Inf. Technol. Decis. Making 18(01), 105–146 (2019)

    Article  Google Scholar 

  11. Xu, L., Li, X., Pang, C., Guo, Y.: Simplified neutrosophic sets based on interval dependent degree for multi-criteria group decision-making problems. Symmetry 640(10), 1–15 (2018)

    Google Scholar 

  12. Kou, G., Lu, Y., Peng, Y., Shi, Y.: Evaluation of classification algorithms using MCDM and rank correlation. Int. J. Inf. Technol. Decis. Making 11(01), 197–225 (2012)

    Article  Google Scholar 

  13. Xu, L., Li, X., Pang, C.: Uncertain multiattribute decision-making based on interval number with extension-dependent degree and regret aversion. Math. Probl. Eng. 103(01), 427–436 (2018)

    MathSciNet  Google Scholar 

  14. Jones, D.F., Mirrazavi, S.K., Tamiz, M.: Multi-objective metaheuristics: an overview of the current state of the art. Eur. J. Oper. Res. 137, 1–9 (2002)

    Article  Google Scholar 

  15. Rezaei, J.: Best-worst multi-criteria decision-making method: some properties and a linear model. Omega Int. J. Manage. Sci. 64, 126–130 (2016)

    Article  Google Scholar 

  16. Li, X., Tian, Y., Smarandache, F., Alex, R.: An extension collaborative innovation model in the context of big data. Int. J. Inf. Technol. Decis. Making 14(1), 69–91 (2015)

    Article  Google Scholar 

  17. Simon, H.A.: Administrative Behavior–A Study of Decision-Making Processes in Administrative Organization. Macmillan Publishing Co, lnc, New York (1971)

    Google Scholar 

  18. Yang, C., Cai, W.: Extenics: Theory, Method and Application. Science Press, Beijing (2013)

    MATH  Google Scholar 

  19. Cai, W.: Extension theory and its application. Chin. Sci. Bull. 44(17), 1538–1548 (1999)

    Article  MathSciNet  Google Scholar 

  20. Yang, C.: Extension Innovation Methods. Science Press, Beijing (2017)

    Google Scholar 

  21. Yang, C.: Extension Innovation Method. CRC Press, Cornwall (2019)

    Google Scholar 

  22. Cai, W.: Extension set and non-compatible problem. In: Advances in Applied Mathematics and Mechanics in China, pp. 1–21. International Academic Publishers, Peking (1990)

    Google Scholar 

  23. Smarandache, F.: Generalizations of the distance and dependent function in extenics to 2D, 3D, and n-D. Glob. J. Sci. Front. Res. 12(8), 47–60 (2012)

    Google Scholar 

  24. Cai, W., Yang, C., Chen, W., Li, X.: Extensible Set and Extensible Data Mining. Science Press, Beijing (2008)

    Google Scholar 

  25. Li, Q., Li, X.: The method to construct elementary dependent function on single interval. Key Eng. Mater. J. 474–476, 651–654 (2011)

    Article  Google Scholar 

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Acknowledgements

This research was supported by Humanities and Social Sciences project (#18YJAZH049) of the Ministry of Education, China. Zhejiang Natural Science Fund (#LY18F020001, #LY16G010010), Postgraduate Education Innovation Project of Guangdong Province (#2018JGXM34) and 2017 key issues of the national education information technology research (#176120008).

Author information

Authors and Affiliations

  1. Research Institute of Extenics and Innovation Methods, Guangdong University of Technology, Guangzhou, 510006, China

    Xingsen Li, Siyuan Chen & Renhu Liu

  2. Center for SCDM, Ningbo Institute of Technology, Zhejiang University, Ningbo, 315100, China

    Haolan Zhang

  3. College of Information Science and Technology, University of Nebraska at Omaha, Omaha, NE, 68182, USA

    Wei Deng

Authors
  1. Xingsen Li
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  2. Siyuan Chen
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  3. Renhu Liu
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  4. Haolan Zhang
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  5. Wei Deng
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Corresponding author

Correspondence to Xingsen Li .

Editor information

Editors and Affiliations

  1. Swinburne University of Technology, Melbourne, VIC, Australia

    Jing He

  2. University of Illinois at Chicago, Chicago, USA

    Philip S. Yu

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

    Yong Shi

  4. Research Institute of Extenics and Innovation Methods, Guangdong University of Technology, Guangzhou, China

    Xingsen Li

  5. Ningbo University, Ningbo, China

    Zhijun Xie

  6. Deakin University, Burwood, VIC, Australia

    Guangyan Huang

  7. Department of Computer Science and Technology, Nanjing University of Science and Technology, Nanjing, China

    Jie Cao

  8. Nanjing University of Posts and Telecommunications, Nanjing, China

    Fu Xiao

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Li, X., Chen, S., Liu, R., Zhang, H., Deng, W. (2020). An Extension Preprocessing Model for Multi-Criteria Decision Making Based on Basic-Elements Theory. In: He, J., et al. Data Science. ICDS 2019. Communications in Computer and Information Science, vol 1179. Springer, Singapore. https://doi.org/10.1007/978-981-15-2810-1_19

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  • DOI: https://doi.org/10.1007/978-981-15-2810-1_19

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  • Publisher Name: Springer, Singapore

  • Print ISBN: 978-981-15-2809-5

  • Online ISBN: 978-981-15-2810-1

  • eBook Packages: Computer ScienceComputer Science (R0)

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