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A TFN-Based AHP Model for Solving Group Decision-Making Problems

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Computational Intelligence and Security (CIS 2005)

Part of the book series: Lecture Notes in Computer Science ((LNAI,volume 3801))

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Abstract

Because the expert(s) usually give the judgment with an uncertainty degree in general decision-making problems, combined the analytic hierarchy process (AHP) with the basic theory of the triangular fuzzy number (TFN), a TFN-based AHP model is suggested. The proposed model makes decision-makers’ judgment more accordant with human thought mode and derives priorities from TFN-based judgment matrices regardless of their consistency. In addition, formulas of the model are normative, they can be operated by programming easily and no human intervention is needed while applying the model-based software system. The results of an illustrative case indicate that, by applying the proposed model, fair and reasonable conclusions are obtained and the deviation scope of the priority weight of every decision element is given easily.

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References

  1. Saaty, T.L.: The Analytic Hierarchy Process. McGraw-Hill, New York (1980)

    MATH  Google Scholar 

  2. Saaty, T.L.: How to Make a Decision: The AHP. European Journal of Operational Research 48, 9–26 (1990)

    Article  MATH  Google Scholar 

  3. Millet, I., Satty, T.L.: On the Relativity of Relative Measures – Accommodating Both Rank Preservation and Rank Reversals in the AHP. European Journal of Operational Research 121, 205–212 (2000)

    Article  MATH  Google Scholar 

  4. Chang, D.Y.: Application of the Extent Analysis Method on Fuzzy AHP. European Journal of Operational Research 95, 649–655 (1996)

    Article  MATH  Google Scholar 

  5. Zhu, K.J., Yu, J.: A Discussion on Extent Analysis Method and Applications of Fuzzy AHP. European Journal of Operational Research 116, 450–456 (1999)

    Article  MATH  Google Scholar 

  6. Kaufmamm, A., Gupta, M.M.: Introduction to Fuzzy Arithmetic Theory and Applications. Van Nostrand Reinhold, New York (1991)

    Google Scholar 

  7. Dubois, D., Prade, H.: Fuzzy Sets and Systems: Theory and Applications. Academic Press, New York (1980)

    MATH  Google Scholar 

  8. Yu, C.S.: A GP-AHP Method for Solving Group Decision-making Fuzzy AHP Problems. Computer & Operation Research 29, 1969–2001 (2002)

    Article  MATH  Google Scholar 

  9. Grawford, G., Williams, C.A.: A Note on the Analysis of Subjective Judgment Matrices. Journal of Mathematical Psychology 29, 387–405 (1985)

    Article  Google Scholar 

  10. Kwiesielewicz, M., Uden, E.V.: An Additional Result of Monsuur’s Paper about Intrinsic Consistency Threshold for Reciprocal Matrices. European Journal of Operational Research 140, 88–92 (2002)

    Article  MATH  MathSciNet  Google Scholar 

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Author information

Authors and Affiliations

  1. Institute of Information Intelligence and Decision-making Optimization, Zhejiang University of Technology, Hangzhou, 310032, China

    Jian Cao, Gengui Zhou & Feng Ye

Authors
  1. Jian Cao
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  2. Gengui Zhou
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  3. Feng Ye
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Editor information

Editors and Affiliations

  1. Microelectronic Instiute, Xidian University, 710071, Xi’an, China

    Yue Hao

  2. Department of Computer Science, Hong Kong Baptist University, Kowloon Tong, Hong Kong

    Jiming Liu

  3. School of Computer Science and Technology, Xidian University, Xi’an, China

    Yuping Wang

  4. Department of Computer Science, Hong Kong Baptist University, Hong Kong,  

    Yiu-ming Cheung

  5. School of Electrical and Electronic Engineering, University of Manchester, UK

    Hujun Yin

  6. Life Science Research Center, School of Electronic Engineering, Xidian University, 710071, Xi’an, Shaanxi, China

    Licheng Jiao

  7. Key Laboratory of Computer Networks and Information Security (Ministry of Education), Xidian University, 710071, Xi’an, China

    Jianfeng Ma

  8. National Laboratory of Antennas and Microwave Technology, Xidian University, 710071, Xi’an, Shanxi, P.R. China

    Yong-Chang Jiao

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© 2005 Springer-Verlag Berlin Heidelberg

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Cao, J., Zhou, G., Ye, F. (2005). A TFN-Based AHP Model for Solving Group Decision-Making Problems. In: Hao, Y., et al. Computational Intelligence and Security. CIS 2005. Lecture Notes in Computer Science(), vol 3801. Springer, Berlin, Heidelberg. https://doi.org/10.1007/11596448_17

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  • DOI: https://doi.org/10.1007/11596448_17

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-30818-8

  • Online ISBN: 978-3-540-31599-5

  • eBook Packages: Computer ScienceComputer Science (R0)

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