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Non-reciprocal Pairwise Comparisons and Solution Method in AHP

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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

In this study of Analytic Hierarchy Process (AHP), a modified paired comparison method and its solution method are proposed. In traditional AHP, pairwise comparisons were carried out using a nine-stage evaluation process, and then the pairwise comparison matrix was constructed by the decision maker. The elements of the pairwise comparison matrix have the property of reciprocity. For the decision maker, this property is not easy to judge for pairwise comparisons. Hence, we would like to reduce the burden of judgment for the decision maker. The purposes of this study are to construct a non-reciprocal pairwise comparison matrix and to obtain perfectly consistent weights. By applying the proposed methods to examples, the process of these methods is illustrated.

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References

  1. Nishizawa, K.: A consistency improving method in binary AHP. J. Oper. Res. Soc. Japan 38, 21–33 (1995)

    MathSciNet  MATH  Google Scholar 

  2. Nishizawa, K.: Estimation of unknown comparisons in incomplete AHP and it’s compensation. In: Report of the Research Institute of Industrial Technology, Nihon University, vol. 77, pp. 1–8 (2005)

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  3. Nishizawa, K. : The improvement of pairwise comparison method of the alternatives in the AHP. In: Intelligent Decision Technologies. SIST, vol. 39, no. 1, pp. 483–491 (2015)

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  4. Nishizawa, K.: Adjustment from inconsistent comparisons in AHP to perfect consistency. In: Intelligent Decision Technologies. SIST, vol. 72, no. 1, pp. 293–300 (2017)

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

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Correspondence to Kazutomo Nishizawa .

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Nishizawa, K. (2019). Non-reciprocal Pairwise Comparisons and Solution Method in AHP. 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_16

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