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Volumn 62, Issue 3, 2015, Pages 529-543

Heuristic rating estimation: geometric approach

Author keywords

AHP; Logarithmic least square method; Multicriteria analysis; Pairwise comparisons; Ranking theory

Indexed keywords

GEOMETRY; HEURISTIC METHODS; LEAST SQUARES APPROXIMATIONS;

EID: 84930477172     PISSN: 09255001     EISSN: 15732916     Source Type: Journal    
DOI: 10.1007/s10898-014-0253-4     Document Type: Article
Times cited : (17)

References (28)
  • 1
    • 77953232886 scopus 로고    scopus 로고
    • On optimal completion of incomplete pairwise comparison matrices
    • Bozóki, S., Fülöp, J., Rónyai, L.: On optimal completion of incomplete pairwise comparison matrices. Math. Comput. Model. 52(1–2), 318–333 (2010). doi:10.1016/j.mcm.2010.02.047
    • (2010) Math. Comput. Model , vol.52 , Issue.1-2 , pp. 318-333
    • Bozóki, S.1    Fülöp, J.2    Rónyai, L.3
  • 2
    • 51249109081 scopus 로고    scopus 로고
    • On Saaty’s and Koczkodaj’s inconsistencies of pairwise comparison matrices
    • Bozóki, S., Rapcsak, T.: On Saaty’s and Koczkodaj’s inconsistencies of pairwise comparison matrices. J. Glob. Optim. 42(2), 157–175 (2008)
    • (2008) J. Glob. Optim , vol.42 , Issue.2 , pp. 157-175
    • Bozóki, S.1    Rapcsak, T.2
  • 3
    • 84890127190 scopus 로고    scopus 로고
    • Inconsistency indices for pairwise comparison matrices: a numerical study
    • Brunelli, M., Canal, L., Fedrizzi, M.: Inconsistency indices for pairwise comparison matrices: a numerical study. Ann. Oper. Res. 211, 493–509 (2013). doi:10.1007/s10479-013-1329-0
    • (2013) Ann. Oper. Res , vol.211 , pp. 493-509
    • Brunelli, M.1    Canal, L.2    Fedrizzi, M.3
  • 4
    • 84924370087 scopus 로고    scopus 로고
    • Axiomatic properties of inconsistency indices. J. Oper. Res
    • Brunelli, M., Fedrizzi, M.: Axiomatic properties of inconsistency indices. J. Oper. Res. Soc. (2013). doi:10.1057/jors.2013.135
    • (2013) Soc
    • Brunelli, M.1    Fedrizzi, M.2
  • 5
    • 84872609876 scopus 로고    scopus 로고
    • Ramon Llull: from ‘Ars electionis’ to social choice theory
    • Colomer, J.M.: Ramon Llull: from ‘Ars electionis’ to social choice theory. Soc. Choice Welf. 40(2), 317–328 (2011)
    • (2011) Soc. Choice Welf. , vol.40 , Issue.2 , pp. 317-328
    • Colomer, J.M.1
  • 6
    • 45949119991 scopus 로고
    • The geometric mean procedure for estimating the scale of a judgement matrix
    • Crawford, G.B.: The geometric mean procedure for estimating the scale of a judgement matrix. Math. Model. 9(3–5), 327–334 (1987). doi:10.1016/0270-0255(87)90489-1
    • (1987) Math. Model , vol.9 , Issue.3-5 , pp. 327-334
    • Crawford, G.B.1
  • 9
    • 79960028738 scopus 로고    scopus 로고
    • Review of the main developments in the analytic hierarchy process
    • Ishizaka, A., Labib, A.: Review of the main developments in the analytic hierarchy process. Expert Syst. Appl. 38(11), 14,336–14,345 (2011)
    • (2011) Expert Syst. Appl. , vol.38 , Issue.11 , pp. 1436-14345
    • Ishizaka, A.1    Labib, A.2
  • 10
    • 33947521897 scopus 로고    scopus 로고
    • How to derive priorities in AHP: a comparative study
    • Ishizaka, A., Lusti, M.: How to derive priorities in AHP: a comparative study. Cent. Eur. J. Oper. Res. 14(4), 387–400 (2006). http://ideas.repec.org/a/spr/cejnor/v14y2006i4p387-400.html
    • (2006) Cent. Eur. J. Oper. Res , vol.14 , Issue.4 , pp. 387-400
    • Ishizaka, A.1    Lusti, M.2
  • 11
    • 80054069609 scopus 로고    scopus 로고
    • On a pairwise comparison-based consistent non-numerical ranking
    • Janicki, R., Zhai, Y.: On a pairwise comparison-based consistent non-numerical ranking. Log. J. IGPL 20(4), 667–676 (2012)
    • (2012) Log. J. IGPL , vol.20 , Issue.4 , pp. 667-676
    • Janicki, R.1    Zhai, Y.2
  • 12
    • 35648957136 scopus 로고    scopus 로고
    • On group decision making, consensus reaching, voting and voting paradoxes under fuzzy preferences and a fuzzy majority: a survey and some perspectives
    • Springer, Berlin
    • Kacprzyk, J., Zadrozny, S., Fedrizzi, M., Nurmi, H.: On group decision making, consensus reaching, voting and voting paradoxes under fuzzy preferences and a fuzzy majority: a survey and some perspectives. In: Studies in Fuzziness and Soft Computing, Studies in Fuzziness and Soft Computing, vol. 220, pp. 263–295. Springer, Berlin (2008)
    • (2008) Studies in Fuzziness and Soft Computing, Studies in Fuzziness and Soft Computing, vol. 220 , pp. 263-295
    • Kacprzyk, J.1    Zadrozny, S.2    Fedrizzi, M.3    Nurmi, H.4
  • 13
    • 84900476728 scopus 로고    scopus 로고
    • On the quality evaluation of scientific entities in Poland supported by consistency-driven pairwise comparisons method
    • Koczkodaj, W., Kułakowski, K., Ligęza, A.: On the quality evaluation of scientific entities in Poland supported by consistency-driven pairwise comparisons method. Scientometrics 99(3), 911–926 (2014). doi:10.1007/s11192-014-1258-y
    • (2014) Scientometrics , vol.99 , Issue.3 , pp. 911-926
    • Koczkodaj, W.1    Kułakowski, K.2    Ligęza, A.3
  • 14
    • 38249000506 scopus 로고
    • A new definition of consistency of pairwise comparisons
    • Koczkodaj, W.W.: A new definition of consistency of pairwise comparisons. Math. Comput. Model. 18(7), 79–84 (1993). doi:10.1016/0895-7177(93)90059-8
    • (1993) Math. Comput. Model. , vol.18 , Issue.7 , pp. 79-84
    • Koczkodaj, W.W.1
  • 15
    • 0040320578 scopus 로고    scopus 로고
    • Computing a consistent approximation to a generalized pairwise comparisons matrix
    • Koczkodaj, W.W., Orłowski, M.: Computing a consistent approximation to a generalized pairwise comparisons matrix. Comput. Math. Appl. 37(3), 79–85 (1999)
    • (1999) Comput. Math. Appl. , vol.37 , Issue.3 , pp. 79-85
    • Koczkodaj, W.W.1    Orłowski, M.2
  • 16
    • 84878972293 scopus 로고    scopus 로고
    • A heuristic rating estimation algorithm for the pairwise comparisons method
    • Kułakowski, K.: A heuristic rating estimation algorithm for the pairwise comparisons method. Cent. Eur. J. Oper. Res. 1–17 (2013). doi:10.1007/s10100-013-0311-x
    • (2013) Cent. Eur. J. Oper. Res
    • Kułakowski, K.1
  • 17
    • 84908682964 scopus 로고    scopus 로고
    • Heuristic rating estimation approach to the pairwise comparisons nethod
    • Kułakowski, K.: Heuristic rating estimation approach to the pairwise comparisons nethod. Fundam. Inform. (to be appeared) 133, 367–386 (2014). doi:10.3233/FI-2014-1081
    • (2014) Fundam. Inform. (to be appeared) , vol.133 , pp. 367-386
    • Kułakowski, K.1
  • 18
    • 85018102776 scopus 로고    scopus 로고
    • Notes on the existence of solutions in the pairwise comparisons method using the heuristic rating estimation approach
    • Kułakowski, K.: Notes on the existence of solutions in the pairwise comparisons method using the heuristic rating estimation approach. CoRR abs/1402.4064 (2014)
    • (2014) CoRR abs/1402 , pp. 4064
    • Kułakowski, K.1
  • 19
    • 79955004060 scopus 로고    scopus 로고
    • Ranking efficient units in DEA by using TOPSIS method. Appl. Math
    • Lotfi, F.H., Fallahnejad, R., Navidi, N.: Ranking efficient units in DEA by using TOPSIS method. Appl. Math. Sci. (2011)
    • (2011) Sci
    • Lotfi, F.H.1    Fallahnejad, R.2    Navidi, N.3
  • 20
    • 0037448851 scopus 로고    scopus 로고
    • Deriving priorities from fuzzy pairwise comparison judgements
    • Mikhailov, L.: Deriving priorities from fuzzy pairwise comparison judgements. Fuzzy Sets Syst. 134(3), 365–385 (2003)
    • (2003) Fuzzy Sets Syst. , vol.134 , Issue.3 , pp. 365-385
    • Mikhailov, L.1
  • 21
    • 0000238336 scopus 로고
    • A simplex-method for function minimization
    • Nelder, J.A., Mead, R.: A simplex-method for function minimization. Comput. J. 7(4), 308–313 (1965)
    • (1965) Comput. J. , vol.7 , Issue.4 , pp. 308-313
    • Nelder, J.A.1    Mead, R.2
  • 22
    • 0031754242 scopus 로고    scopus 로고
    • Economic valuation by the method of paired comparison, with emphasis on evaluation of the transitivity axiom
    • Peterson, G.L., Brown, T.C.: Economic valuation by the method of paired comparison, with emphasis on evaluation of the transitivity axiom. Land Econ. 240–261 (1998)
    • (1998) Land Econ , pp. 240-261
    • Peterson, G.L.1    Brown, T.C.2
  • 23
    • 0013127709 scopus 로고
    • M-matrix characterizations. I—nonsingular M-matrices
    • Plemmons, R.J.: M-matrix characterizations. I—nonsingular M-matrices. Linear Algebra Appl. 18(2), 175–188 (1976)
    • (1976) Linear Algebra Appl. , vol.18 , Issue.2 , pp. 175-188
    • Plemmons, R.J.1
  • 25
    • 49449122896 scopus 로고
    • A scaling method for priorities in hierarchical structures
    • Saaty, T.L.: A scaling method for priorities in hierarchical structures. J. Math. Psychol. 15(3), 234–281 (1977). doi:10.1016/0022-2496(77)90033-5
    • (1977) J. Math. Psychol , vol.15 , Issue.3 , pp. 234-281
    • Saaty, T.L.1
  • 26
    • 84955140706 scopus 로고    scopus 로고
    • In: Multiple Criteria Decision Analysis: State of the Art Surveys, International Series in Operations Research and Management Science
    • Springer, New York (2005)
    • Saaty, T.L.: The analytic hierarchy and analytic network processes for the measurement of intangible criteria and for decision-making. In: Multiple Criteria Decision Analysis: State of the Art Surveys, International Series in Operations Research and Management Science, vol. 78, pp. 345–405. Springer, New York (2005). doi:10.1007/0-387-23081-5_9
    • The analytic hierarchy and analytic network processes for the measurement of intangible criteria and for decision-making , vol.78 , pp. 345-405
    • Saaty, T.L.1
  • 27
    • 84872387622 scopus 로고    scopus 로고
    • On the measurement of intangibles. A principal eigenvector approach to relative measurement derived from paired comparisons
    • Saaty, T.L.: On the measurement of intangibles. A principal eigenvector approach to relative measurement derived from paired comparisons. Not. Am. Math. Soc. 60(02), 192 (2013)
    • (2013) Not. Am. Math. Soc. , vol.60 , Issue.2 , pp. 192
    • Saaty, T.L.1
  • 28
    • 21344497089 scopus 로고
    • A law of comparative judgment, reprint of an original work published in 1927
    • Thurstone, L.L.: A law of comparative judgment, reprint of an original work published in 1927. Psychol. Rev. 101, 266–270 (1994)
    • (1994) Psychol. Rev. , vol.101 , pp. 266-270
    • Thurstone, L.L.1


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