메뉴 건너뛰기




Volumn 240, Issue 3, 2015, Pages 774-780

Eigenvector ranking method as a measuring tool: Formulas for errors

Author keywords

Analytic Hierarchy Process; Decision analysis; Eigenvector method; Pairwise comparisons; Rank reversal

Indexed keywords

ANALYTIC HIERARCHY PROCESS; DECISION MAKING; DECISION SUPPORT SYSTEMS; DECISION THEORY; ERRORS; MATRIX ALGEBRA; MEASUREMENT THEORY; NUMERICAL METHODS; PARTIAL DISCHARGES;

EID: 84985042310     PISSN: 03772217     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.ejor.2014.07.050     Document Type: Article
Times cited : (38)

References (31)
  • 1
    • 36849024019 scopus 로고    scopus 로고
    • A critical analysis of the eigenvalue method used to derive priorities in AHP
    • Bana e Costa, C.A., Vansnick, J.-C., A critical analysis of the eigenvalue method used to derive priorities in AHP. European Journal of Operational Research 187 (2008), 1422–1428.
    • (2008) European Journal of Operational Research , vol.187 , pp. 1422-1428
    • Bana e Costa, C.A.1    Vansnick, J.-C.2
  • 2
    • 0031381524 scopus 로고    scopus 로고
    • Deriving weights from pairwise comparison matrices
    • Barzilai, J., Deriving weights from pairwise comparison matrices. Journal of the Operational Research Society 48 (1997), 1226–1232.
    • (1997) Journal of the Operational Research Society , vol.48 , pp. 1226-1232
    • Barzilai, J.1
  • 3
    • 16244363585 scopus 로고
    • The Legitimacy of Rank Reversal - A Comment
    • Belton, V., Grear, T., The Legitimacy of Rank Reversal - A Comment. Omega 13 (1985), 143–144.
    • (1985) Omega , vol.13 , pp. 143-144
    • Belton, V.1    Grear, T.2
  • 4
    • 51249109081 scopus 로고    scopus 로고
    • On Saaty's and Koczkodaj's inconsistencies of pairwise comparison matrices
    • Bózoki, S., Rapcsák, T., On Saaty's and Koczkodaj's inconsistencies of pairwise comparison matrices. Journal of Global Optimization 42 (2008), 157–175.
    • (2008) Journal of Global Optimization , vol.42 , pp. 157-175
    • Bózoki, S.1    Rapcsák, T.2
  • 5
    • 1142268975 scopus 로고    scopus 로고
    • A common framework for deriving preference values from pairwise comparison matrices
    • Choo, E.U., Wedley, W.C., A common framework for deriving preference values from pairwise comparison matrices. Computers & Operations Research 31 (2004), 893–908.
    • (2004) Computers & Operations Research , vol.31 , pp. 893-908
    • Choo, E.U.1    Wedley, W.C.2
  • 6
    • 0024141037 scopus 로고
    • Deriving weights from pairwise comparison ratio matrices: an axiomatic approach
    • Cook, W.D., Kress, M.K., Deriving weights from pairwise comparison ratio matrices: an axiomatic approach. European Journal of Operational Research 37 (1988), 355–362.
    • (1988) European Journal of Operational Research , vol.37 , pp. 355-362
    • Cook, W.D.1    Kress, M.K.2
  • 7
    • 38249037187 scopus 로고
    • The approach to consistency in the Analytic Hierarchy Process
    • Deturck, D.M., The approach to consistency in the Analytic Hierarchy Process. Mathematical modelling 9 (1987), 345–352.
    • (1987) Mathematical modelling , vol.9 , pp. 345-352
    • Deturck, D.M.1
  • 9
    • 0000048723 scopus 로고
    • Remark on the Analytic Hierarchy Process
    • Dyer, J.S., Remark on the Analytic Hierarchy Process. Management Science 36 (1990), 249–258.
    • (1990) Management Science , vol.36 , pp. 249-258
    • Dyer, J.S.1
  • 10
    • 0004131235 scopus 로고
    • Theory of matrices
    • AMS Chelsea publishing
    • Gantmacher, F., Theory of matrices. 1959, AMS Chelsea publishing.
    • (1959)
    • Gantmacher, F.1
  • 11
    • 38149113816 scopus 로고    scopus 로고
    • Methodologies for the group rankings decision
    • Hochbaum, D.S., Levin, A., Methodologies for the group rankings decision. Management Science 52 (2006), 1394–1408.
    • (2006) Management Science , vol.52 , pp. 1394-1408
    • Hochbaum, D.S.1    Levin, A.2
  • 12
    • 39049152443 scopus 로고    scopus 로고
    • Deriving weights from general pairwise comparisons matrices
    • Hovanov, N., Kolari, J., Sokolov, M., Deriving weights from general pairwise comparisons matrices. Mathematical Social Sciences 55 (2008), 205–220.
    • (2008) Mathematical Social Sciences , vol.55 , pp. 205-220
    • Hovanov, N.1    Kolari, J.2    Sokolov, M.3
  • 13
    • 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 Systems with Applications 38 (2011), 14336–14345.
    • (2011) Expert Systems with Applications , vol.38 , pp. 14336-14345
    • Ishizaka, A.1    Labib, A.2
  • 15
    • 3242751288 scopus 로고    scopus 로고
    • A distance-metric methodology for the derivation of weights from a pairwise comparison matrix
    • Jones, D.F., Mardle, S.J., A distance-metric methodology for the derivation of weights from a pairwise comparison matrix. Journal of the Operational Research Society 55 (2004), 869–875.
    • (2004) Journal of the Operational Research Society , vol.55 , pp. 869-875
    • Jones, D.F.1    Mardle, S.J.2
  • 17
    • 84939654269 scopus 로고    scopus 로고
    • A cosine maximization method for the priority vector derivation in AHP
    • Kou, G., Lin, C., A cosine maximization method for the priority vector derivation in AHP. European Journal of Operational Research., 2013.
    • (2013) European Journal of Operational Research.
    • Kou, G.1    Lin, C.2
  • 18
    • 0942280296 scopus 로고    scopus 로고
    • Inconsistent and Contradictory Judgements in Pairwise Comparison Method in AHP
    • Kwiesielewicz, M., van Uden, E., Inconsistent and Contradictory Judgements in Pairwise Comparison Method in AHP. Computers and Operations Research 31 (2004), 713–719.
    • (2004) Computers and Operations Research , vol.31 , pp. 713-719
    • Kwiesielewicz, M.1    van Uden, E.2
  • 19
    • 84886285610 scopus 로고    scopus 로고
    • A Comprehensive Literature Review of the Rank Reversal Phenomenon in the Analytic Hierarhy Process
    • Maleki, H., Zahir, S., A Comprehensive Literature Review of the Rank Reversal Phenomenon in the Analytic Hierarhy Process. Journal of Multi-Criteria Decision Analysis 20 (2013), 141–155.
    • (2013) Journal of Multi-Criteria Decision Analysis , vol.20 , pp. 141-155
    • Maleki, H.1    Zahir, S.2
  • 20
    • 0030736827 scopus 로고    scopus 로고
    • An intrinsic consistency threshold for reciprocal matrices
    • Monsuur, H., An intrinsic consistency threshold for reciprocal matrices. European Journal of Operational Research 96 (1997), 387–391.
    • (1997) European Journal of Operational Research , vol.96 , pp. 387-391
    • Monsuur, H.1
  • 21
    • 29544437263 scopus 로고    scopus 로고
    • Evaluating relationship of consistency ratio and number of alternatives on rank reversal in the AHP
    • Raharjo, H., Endah, D., Evaluating relationship of consistency ratio and number of alternatives on rank reversal in the AHP. Quality Engineering 18 (2005), 39–46.
    • (2005) Quality Engineering , vol.18 , pp. 39-46
    • Raharjo, H.1    Endah, D.2
  • 22
    • 49449122896 scopus 로고
    • A scaling method for priorities in hierarchical structures
    • Saaty, T.L., A scaling method for priorities in hierarchical structures. Journal of Mathematical Psychology 15 (1977), 234–281.
    • (1977) Journal of Mathematical Psychology , vol.15 , pp. 234-281
    • Saaty, T.L.1
  • 23
    • 0003443508 scopus 로고
    • The Analytic Hierarchy Process
    • McGraw Hill New York
    • Saaty, T.L., The Analytic Hierarchy Process. 1980, McGraw Hill, New York.
    • (1980)
    • Saaty, T.L.1
  • 24
    • 0000274220 scopus 로고
    • Comparison of eigenvalue, logarithmic least squares and least squares methods in estimating ratios
    • Saaty, T.L., Vargas, L.G., Comparison of eigenvalue, logarithmic least squares and least squares methods in estimating ratios. Mathematical Modelling 5 (1984), 309–324.
    • (1984) Mathematical Modelling , vol.5 , pp. 309-324
    • Saaty, T.L.1    Vargas, L.G.2
  • 25
    • 84985790721 scopus 로고
    • Rank Generation, Preservation, and Reversal in the Analytic Hierarchy Process
    • Saaty, T.L., Rank Generation, Preservation, and Reversal in the Analytic Hierarchy Process. Decision Sciences 18 (1987), 157–177.
    • (1987) Decision Sciences , vol.18 , pp. 157-177
    • Saaty, T.L.1
  • 26
    • 0004319197 scopus 로고
    • Fundamentals of Decision Making
    • RSW Publications
    • Saaty, T.L., Fundamentals of Decision Making. 1994, RSW Publications.
    • (1994)
    • Saaty, T.L.1
  • 27
    • 0003449101 scopus 로고    scopus 로고
    • An Introduction to Error Analysis: The Study of Uncertainties in Physical Measurements
    • University Science Books Sausalito, California
    • Taylor, J.R., An Introduction to Error Analysis: The Study of Uncertainties in Physical Measurements. 1997, University Science Books, Sausalito, California.
    • (1997)
    • Taylor, J.R.1
  • 28
    • 58149426837 scopus 로고
    • A law of comparative judgments
    • Thurstone, L., A law of comparative judgments. Psychological Review 34 (1927), 273–286.
    • (1927) Psychological Review , vol.34 , pp. 273-286
    • Thurstone, L.1
  • 30
    • 18444390128 scopus 로고
    • The Nature of the affective judgment in the method of paired comparison
    • Yokoyama, M., The Nature of the affective judgment in the method of paired comparison. The American Journal of Psychology 32 (1921), 357–369.
    • (1921) The American Journal of Psychology , vol.32 , pp. 357-369
    • Yokoyama, M.1
  • 31
    • 55949114674 scopus 로고    scopus 로고
    • Aggregation of direct and indirect judgments in pairwise comparison matrices with a re-examination of the criticisms by Bana e Costa and Vansnick
    • Wang, Y.-M., Chin, K.-S., Luo, Y., Aggregation of direct and indirect judgments in pairwise comparison matrices with a re-examination of the criticisms by Bana e Costa and Vansnick. Information sciences 179 (2009), 329–337.
    • (2009) Information sciences , vol.179 , pp. 329-337
    • Wang, Y.-M.1    Chin, K.-S.2    Luo, Y.3


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.