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A New Fuzzy MCDM Method Based on Trapezoidal Fuzzy AHP and Hierarchical Fuzzy Integral

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Fuzzy Systems and Knowledge Discovery (FSKD 2005)

Part of the book series: Lecture Notes in Computer Science ((LNAI,volume 3614))

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Abstract

Fuzzy Multiple Criteria Decision Making (MCDM) has been widely used in evaluating and ranking weapon systems characterized by fuzzy assessments with respect to multiple criteria. However, most criteria have interdependent or interactive characteristic so weapon system cannot be evaluated by conventional evaluation methods. In this paper, a new method based on trapezoidal fuzzy AHP and fuzzy Integral is proposed. The ratings of criteria performance are described by linguistic terms expressed in trapezoidal fuzzy numbers. The weights of the criteria are obtained by trapezoidal fuzzy AHP. And the hierarchical fuzzy integral model is proposed based on λ -fuzzy measure and Sugeno integral to determine the synthesis evaluation of weapon system. Finally, an example of evaluating the best main battle tank is given. The results demonstrate the engineering practicability and effectiveness of this method.

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References

  1. Chen, S.J., Hwang, C.L.: Fuzzy Multiple Attribute Decision-Making: Methods and Applications. Springer, Heidelberg (1992)

    MATH  Google Scholar 

  2. Cheng, C.H., Mon, D.L.: Evaluating Weapon System by Analytical Hierarchy Process Based on Fuzzy Scales. Fuzzy Sets and Systems 63, 1–10 (1994)

    Article  MathSciNet  Google Scholar 

  3. Cheng, C.H.: Evaluating Weapon Systems using Ranking Fuzzy Numbers. Fuzzy Sets and Systems 107, 25–35 (1999)

    Article  MATH  Google Scholar 

  4. Cheng, C.H., Lin, Y.: Evaluating The Best Main Battle Tank using Fuzzy Decision Theory With Linguistic Criteria Evaluation. European Journal of Operational Research 142, 174–176 (2002)

    Article  MATH  Google Scholar 

  5. Chen, C.T.: A Decision Model for Information System Project Selection. In: 2002 IEEE International Engineering Management Conference, August 18-20. IEMC, pp. 585–589 (2002)

    Google Scholar 

  6. Chen, Y.W., Tzeng, G.H.: Using Fuzzy Integral for Evaluating Subjectively Perceived Travel Costs in a Traffic Assignment Model. European Journal of Operational Research 130, 653–664 (2001)

    Article  MATH  MathSciNet  Google Scholar 

  7. Liu, Y.X., Li, X., Zhuang, Z.W.: Decision-Level Information Fusion for Target Recognition Based on Choquet Fuzzy Integral. Journal of Electronics and Information Technology 25, 695–699 (2003)

    Google Scholar 

  8. Wang, L., Liu, J.Q.: Trapezoidal Fuzzy AHP and its Application to Optimal Selection of Satellite System Schemes. Journal of Harbin Institute of Technology 34, 315–319 (2002)

    Google Scholar 

  9. Wu, X.Q., Pu, F., Shao, S.H.: Trapezoidal Fuzzy AHP for The Comprehensive Evaluation of Highway Network Programming Schemes in Yangtze River Delta. In: Proceedings of the 5th World Congress on Intelligent Control and Automation, Hangzhou, P.R.China, June 15-19. WCICA, pp. 5232–5236 (2004)

    Google Scholar 

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Author information

Authors and Affiliations

  1. School of Aeronautics, Northwestern Polytechnical University, Xi’an, 710072, P.R. China

    Chao Zhang & Cun-bao Ma

  2. School of Electrical & Information, Northwestern Polytechnical University, Xi’an, 710072, P.R. China

    Chao Zhang & Jia-dong Xu

Authors
  1. Chao Zhang
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  2. Cun-bao Ma
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  3. Jia-dong Xu
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Editor information

Editors and Affiliations

  1. School of Electrical and Electronic Engineering, Nanyang Technological University, Block S1, Nanyang Avenue, 639798, Singapore

    Lipo Wang

  2. Honda Research Institute Europe GmbH, Offenbach/Main, Germany

    Yaochu Jin

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© 2005 Springer-Verlag Berlin Heidelberg

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Zhang, C., Ma, Cb., Xu, Jd. (2005). A New Fuzzy MCDM Method Based on Trapezoidal Fuzzy AHP and Hierarchical Fuzzy Integral. In: Wang, L., Jin, Y. (eds) Fuzzy Systems and Knowledge Discovery. FSKD 2005. Lecture Notes in Computer Science(), vol 3614. Springer, Berlin, Heidelberg. https://doi.org/10.1007/11540007_57

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  • DOI: https://doi.org/10.1007/11540007_57

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-28331-7

  • Online ISBN: 978-3-540-31828-6

  • eBook Packages: Computer ScienceComputer Science (R0)

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