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Super Pairwise Comparison Matrix in the Multiple Dominant AHP with Hierarchical Criteria

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Intelligent Decision Technologies 2018 (KES-IDT 2018 2018)

Part of the book series: Smart Innovation, Systems and Technologies ((SIST,volume 97))

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Abstract

We have proposed a super pairwise comparison matrix (SPCM) to express all pairwise comparisons in the evaluation process of the dominant analytic hierarchy process (D-AHP) or the multiple dominant AHP (MDAHP) as a single pairwise comparison matrix and have shown calculations of super pairwise comparison matrix in MDAHP with hierarchical criteria. This paper shows calculations of super pairwise comparison matrix in MDAHP with hierarchical criteria.

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References

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

    MATH  Google Scholar 

  2. Kinoshita, E., Nakanishi, M.: Proposal of new AHP model in light of dominative relationship among alternatives. J. Oper. Res. Soc. Japan 42, 180–198 (1999)

    MathSciNet  MATH  Google Scholar 

  3. Kinoshita, E., Sekitani, K., Shi, J.: Mathematical Properties of Dominant AHP and Concurrent Convergence Method. J. Oper. Res. Soc. Japan 45, 198–213 (2002)

    MathSciNet  MATH  Google Scholar 

  4. Ohya, T., Kinoshita, E.: Proposal of Super Pairwise Comparison Matrix. In: Watada, J., et al. (eds.) Intelligent Decision Technologies, pp. 247–254. Springer, Heidelberg (2011)

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  5. Ohya, T., Kinoshita, E.: Super Pairwise Comparison Matrix in the Multiple Dominant AHP. In: Watada, J., et al. (eds.) Intelligent Decision Technologies. Smart Innovation, Systems and Technologies 15, vol. 1, pp. 319–327. Springer, Heidelberg (2012)

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  6. Ohya, T., Kinoshita, E.: Super pairwise comparison matrix with the logarithmic least squares method. In: Neves-Silva, R., et al. (eds.) Intelligent Decision Technologies. Frontiers in Artificial Intelligence and Applications, vol. 255, pp. 390−398. IOS press (2013)

    Google Scholar 

  7. Ohya, T., Kinoshita, E.: The Treatment of Hierarchical Criteria in Dominant AHP with Super Pairwise Comparison Matrix. In: Neves-Silva, R., et al. (Eds.) Smart Digital Futures 2014, pp. 142–148. IOS press (2014)

    Google Scholar 

  8. Ohya, T., Kinoshita, E.: Using Super Pairwise Comparison Matrix for Calculation of the multiple dominant AHP. In: Neves-Silva, R., et al. (eds.) Intelligent Decision Technologies, Smart Innovation, Systems and Technologies 39, pp. 493–499. Springer, Heidelberg (2015)

    Google Scholar 

  9. Ohya, T., Kinoshita, E.: Super Pairwise Comparison Matrix in the Dominant AHP. In: Czarnowski, I., et al. (eds.) Intelligent Decision Technologies 2016, Smart Innovation, Systems and Technologies 57, pp. 407–414. Springer, Heidelberg (2016)

    Chapter  Google Scholar 

  10. Harker, P.T.: Incomplete pairwise comparisons in the Analytic Hierarchy Process. Math. Model. 9, 837–848 (1987)

    Article  MathSciNet  Google Scholar 

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Correspondence to Takao Ohya .

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Ohya, T., Kinoshita, E. (2019). Super Pairwise Comparison Matrix in the Multiple Dominant AHP with Hierarchical Criteria. In: Czarnowski, I., Howlett, R., Jain, L., Vlacic, L. (eds) Intelligent Decision Technologies 2018. KES-IDT 2018 2018. Smart Innovation, Systems and Technologies, vol 97. Springer, Cham. https://doi.org/10.1007/978-3-319-92028-3_17

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