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Part of the book series: Theory and Decision Library ((TDLB,volume 18))

Abstract

A method for consensus measuring in a group decision problem is presented for the multiple criteria case. The decision process is supposed to be carried out according to Saaty’s Analytic Hierarchy Process, and hence using pairwise comparison among the alternatives. Using a suitable distance between the experts’ judgements, a scale transformation is proposed which allows a fuzzy interpretation of the problem and the definition of a consensus measure by means of fuzzy tools as linguistic quantifiers. Sufficient conditions on the expert’s judgements are finally presented, which guarantee any a priori fixed consensus level to be reached.

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References

  • Aczél J. (1966), Lectures on functional equations and their applications, Academic Press, New York/London.

    Google Scholar 

  • Aczél J., Saaty T.L. (1983), Procedures for synthesizing ratio judgements, Journal of Mathematical Psychology, 27, 93–102.

    Article  Google Scholar 

  • Barzilai J., Cook W.D., Golany B. (1987), Consistent weights for judgements matrices of the relative importance of alternatives, Operations Research Letters, 6, 131–134.

    Article  Google Scholar 

  • Crawford G., Williams C. (1985), A note on the analysis of subjective judgment matrices, Journal of Mathematical Psychology, 29, 387–405.

    Article  Google Scholar 

  • Fedrizzi M., Kacprzyk J., Zadrozny S. (1988), An interactive multi-user decision support system for consensus reaching processes using fuzzy logic with linguistic quantifiers, Decision Support Systems, 4, 313–327.

    Article  Google Scholar 

  • Harker P., Vargas L.G. (1987), The theory of ratio scale estimation: Saaty’s analytic hierarchy process, Management Science, 33, 1383–1402.

    Article  Google Scholar 

  • Kemeny J.G., Snell J.L. (1962), Mathematical Models in the Social Sciences, Blaisdell Publishing Company, Waltham, Massachusetts.

    Google Scholar 

  • Saaty T. L. (1977), A scaling method for priorities in hierarchical structures, Journal of Mathematical Psychology, 15, 234–281.

    Article  Google Scholar 

  • Saaty T.L. (1980), The analytic hierarchy process, Mc.Grow-Hill, New York.

    Google Scholar 

  • Saaty T.L. (1986), Axiomatic foundation of the analytic hierarchy process, Management Science, 32, 841–855.

    Article  Google Scholar 

  • Tanino T. (1988), Fuzzy preference relations in group decision making, in Kacprzyk J., Roubens M. (Eds.), Non-Conventional Preference Relations in Decision Making, Springer-Verlag, Berlin.

    Google Scholar 

  • Zahedi F. (1986), The Analytic Hierarchy Process–a Survey of the Method and its Applications, Interfaces, 16, 96–108.

    Article  Google Scholar 

  • Zimmermann H.J., Zysno P. (1980), Latent connectives in human decision making, Fuzzy Sets and Systems, 4, 37–51.

    Article  Google Scholar 

  • Zimmermann H.J., Zysno P. (1983), Decisions and evaluations by hierarchical aggregation of information, Fuzzy Sets and Systems, 10, 243–260.

    Article  Google Scholar 

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© 1990 Kluwer Academic Publishers

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Fedrizzi, M. (1990). On a Consensus Measure in a Group MCDM Problem. In: Kacprzyk, J., Fedrizzi, M. (eds) Multiperson Decision Making Models Using Fuzzy Sets and Possibility Theory. Theory and Decision Library, vol 18. Springer, Dordrecht. https://doi.org/10.1007/978-94-009-2109-2_20

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  • DOI: https://doi.org/10.1007/978-94-009-2109-2_20

  • Publisher Name: Springer, Dordrecht

  • Print ISBN: 978-94-010-7448-3

  • Online ISBN: 978-94-009-2109-2

  • eBook Packages: Springer Book Archive

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