메뉴 건너뛰기




Volumn 279, Issue , 2014, Pages 280-300

A new method for deriving priority weights by extracting consistent numerical-valued matrices from interval-valued fuzzy judgement matrix

Author keywords

Consistency; Fuzzy judgment matrix; Pairwise comparison matrix; Priority weight vector

Indexed keywords

NONLINEAR PROGRAMMING;

EID: 84901835951     PISSN: 00200255     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.ins.2014.03.120     Document Type: Article
Times cited : (35)

References (50)
  • 1
    • 79959771557 scopus 로고    scopus 로고
    • A fuzzy reasoning and fuzzy-analytical hierarchy process based approach to the process of railway risk information: A railway risk management system
    • M. An, Y. Chen, and C.J. Baker A fuzzy reasoning and fuzzy-analytical hierarchy process based approach to the process of railway risk information: a railway risk management system Inform. Sci. 181 2011 3946 3966
    • (2011) Inform. Sci. , vol.181 , pp. 3946-3966
    • An, M.1    Chen, Y.2    Baker, C.J.3
  • 2
    • 0027656584 scopus 로고
    • Preference simulation and preference programming: Robustness issues in priority deviation
    • A. Arbel, and L.G. Vargas Preference simulation and preference programming: robustness issues in priority deviation Eur. J. Oper. Res. 69 1993 200 209
    • (1993) Eur. J. Oper. Res. , vol.69 , pp. 200-209
    • Arbel, A.1    Vargas, L.G.2
  • 3
    • 0031381524 scopus 로고    scopus 로고
    • Deriving weights from pairwise comparison matrices
    • J. Barzilai Deriving weights from pairwise comparison matrices J. Oper. Res. Soc. 48 12 1997 1226 1232
    • (1997) J. Oper. Res. Soc. , vol.48 , Issue.12 , pp. 1226-1232
    • Barzilai, J.1
  • 4
    • 12244293407 scopus 로고    scopus 로고
    • Linear programming models for estimating weights in the analytic hierarchy process
    • B. Chandran, B. Golden, and E. Wasil Linear programming models for estimating weights in the analytic hierarchy process Comput. Oper. Res. 32 2005 2235 2254
    • (2005) Comput. Oper. Res. , vol.32 , pp. 2235-2254
    • Chandran, B.1    Golden, B.2    Wasil, E.3
  • 5
    • 78449273102 scopus 로고    scopus 로고
    • Optimistic and pessimistic decision making with dissonance reduction using interval-valued fuzzy sets
    • T.Y. Chen Optimistic and pessimistic decision making with dissonance reduction using interval-valued fuzzy sets Inform. Sci. 181 2011 479 502
    • (2011) Inform. Sci. , vol.181 , pp. 479-502
    • Chen, T.Y.1
  • 6
    • 70349289151 scopus 로고    scopus 로고
    • A linear optimization problem to derive relative weights using an interval judgement matrix
    • E. Conde, and María de la Paz Rivera Pérez A linear optimization problem to derive relative weights using an interval judgement matrix Eur. J. Oper. Res. 201 2010 537 544
    • (2010) Eur. J. Oper. Res. , vol.201 , pp. 537-544
    • Conde, E.1    Pérez, M.D.L.P.R.2
  • 7
    • 42649135110 scopus 로고    scopus 로고
    • Consistent models of transitivity for reciprocal preferences on a finite ordinal scale
    • S. DI'az, J.L. GarcI'a-Lapresta, and S. Montes Consistent models of transitivity for reciprocal preferences on a finite ordinal scale Inform. Sci. 178 2008 2832 2848
    • (2008) Inform. Sci. , vol.178 , pp. 2832-2848
    • Di'Az, S.1    Garci'A-Lapresta, J.L.2    Montes, S.3
  • 8
    • 77957655488 scopus 로고    scopus 로고
    • Interval multiplicative transitivity for consistency, missing values and priority weights of interval fuzzy preference relations
    • S. Genç, F.E. Boran, D. Akay, and Z.S. Xu Interval multiplicative transitivity for consistency, missing values and priority weights of interval fuzzy preference relations Inform. Sci. 180 2010 4877 4891
    • (2010) Inform. Sci. , vol.180 , pp. 4877-4891
    • Genç, S.1    Boran, F.E.2    Akay, D.3    Xu, Z.S.4
  • 9
    • 70350732830 scopus 로고    scopus 로고
    • Decision making with interval probabilities
    • P. Guo, and H. Tanaka Decision making with interval probabilities Eur. J. Oper. Res. 203 2010 444 454
    • (2010) Eur. J. Oper. Res. , vol.203 , pp. 444-454
    • Guo, P.1    Tanaka, H.2
  • 10
    • 84865717833 scopus 로고    scopus 로고
    • Eliciting dual interval probabilities from interval comparison matrices
    • P. Guo, and Y. Wang Eliciting dual interval probabilities from interval comparison matrices Inform. Sci. 190 2012 17 26
    • (2012) Inform. Sci. , vol.190 , pp. 17-26
    • Guo, P.1    Wang, Y.2
  • 11
    • 0029345772 scopus 로고
    • A sequential selection process in group decision-making with linguistic assessment
    • F. Herrera, E. Herrera-Viedma, and J.L. Verdegay A sequential selection process in group decision-making with linguistic assessment Inform. Sci. 85 1995 223 239
    • (1995) Inform. Sci. , vol.85 , pp. 223-239
    • Herrera, F.1    Herrera-Viedma, E.2    Verdegay, J.L.3
  • 13
    • 0031076405 scopus 로고    scopus 로고
    • Preference programming and inconsistent interval judgments
    • R. Islam, M.P. Biswal, and S.S. Alam Preference programming and inconsistent interval judgments Eur. J. Oper. Res. 97 1997 53 62
    • (1997) Eur. J. Oper. Res. , vol.97 , pp. 53-62
    • Islam, R.1    Biswal, M.P.2    Alam, S.S.3
  • 14
    • 77953902463 scopus 로고    scopus 로고
    • The priority method of interval fuzzy preference relation
    • H.F. Jiang, M.M. Xia, and C.P. Wei The priority method of interval fuzzy preference relation Appl. Math. Sci. 4 2010 1681 1690
    • (2010) Appl. Math. Sci. , vol.4 , pp. 1681-1690
    • Jiang, H.F.1    Xia, M.M.2    Wei, C.P.3
  • 15
    • 84898544203 scopus 로고    scopus 로고
    • A stochastic AHP decision making methodology for imprecise preferences
    • E.R. Jalao, T. Wu, and D. Shunk A stochastic AHP decision making methodology for imprecise preferences Inform. Sci. 270 2014 192 203
    • (2014) Inform. Sci. , vol.270 , pp. 192-203
    • Jalao, E.R.1    Wu, T.2    Shunk, D.3
  • 16
    • 84884291401 scopus 로고    scopus 로고
    • Solving multi-period project selection problems with fuzzy goal programming based on TOPSIS and a fuzzy preference relation
    • K. Khalili-Damghani, S. Sadi-Nezhad, and M. Tavana Solving multi-period project selection problems with fuzzy goal programming based on TOPSIS and a fuzzy preference relation Inform. Sci. 252 2013 42 61
    • (2013) Inform. Sci. , vol.252 , pp. 42-61
    • Khalili-Damghani, K.1    Sadi-Nezhad, S.2    Tavana, M.3
  • 18
    • 0031100652 scopus 로고    scopus 로고
    • Min-transitivity of fuzzy leftness relationship and its application to decision making
    • S. Kundu Min-transitivity of fuzzy leftness relationship and its application to decision making Fuzzy Sets Syst. 86 1997 357 367
    • (1997) Fuzzy Sets Syst. , vol.86 , pp. 357-367
    • Kundu, S.1
  • 19
    • 0020843523 scopus 로고
    • A fuzzy extension of Saaty's priority theory
    • P.J.M. Van Laarhoven, and W. Pedrycz A fuzzy extension of Saaty's priority theory Fuzzy Sets Syst. 11 1983 229 241
    • (1983) Fuzzy Sets Syst. , vol.11 , pp. 229-241
    • Van Laarhoven, P.J.M.1    Pedrycz, W.2
  • 20
    • 67651034039 scopus 로고    scopus 로고
    • Acceptable consistency analysis of interval reciprocal comparison matrices
    • F. Liu Acceptable consistency analysis of interval reciprocal comparison matrices Fuzzy Sets Syst. 160 2009 2686 2700
    • (2009) Fuzzy Sets Syst. , vol.160 , pp. 2686-2700
    • Liu, F.1
  • 21
    • 80755146096 scopus 로고    scopus 로고
    • A new method of obtaining the priority weights from an interval fuzzy preference relation
    • F. Liu, W.G. Zhang, and J.H. Fu A new method of obtaining the priority weights from an interval fuzzy preference relation Inform. Sci. 185 2012 32 42
    • (2012) Inform. Sci. , vol.185 , pp. 32-42
    • Liu, F.1    Zhang, W.G.2    Fu, J.H.3
  • 22
    • 27344433112 scopus 로고    scopus 로고
    • A method for repairing the inconsistency of fuzzy preference relations
    • J. Ma, Z.P. Fan, Y.P. Jiang, J.Y. Mao, and L. Ma A method for repairing the inconsistency of fuzzy preference relations Fuzzy Sets Syst. 157 2006 20 33
    • (2006) Fuzzy Sets Syst. , vol.157 , pp. 20-33
    • Ma, J.1    Fan, Z.P.2    Jiang, Y.P.3    Mao, J.Y.4    Ma, L.5
  • 23
    • 0037448851 scopus 로고    scopus 로고
    • Deriving priorities from fuzzy pairwise comparison judgments
    • L. Mikhailov Deriving priorities from fuzzy pairwise comparison judgments Fuzzy Sets Syst. 134 2003 365 385
    • (2003) Fuzzy Sets Syst. , vol.134 , pp. 365-385
    • Mikhailov, L.1
  • 24
    • 3343026340 scopus 로고    scopus 로고
    • A fuzzy approach to deriving priorities from interval pairwise comparison judgements
    • L. Mikhailov A fuzzy approach to deriving priorities from interval pairwise comparison judgements Eur. J. Oper. Res. 159 2004 687 704
    • (2004) Eur. J. Oper. Res. , vol.159 , pp. 687-704
    • Mikhailov, L.1
  • 25
    • 0000688366 scopus 로고
    • Decision-making with a fuzzy preference relation
    • S. Orlovsky Decision-making with a fuzzy preference relation Fuzzy Sets Syst. 1 1978 155 167
    • (1978) Fuzzy Sets Syst. , vol.1 , pp. 155-167
    • Orlovsky, S.1
  • 28
    • 79957974279 scopus 로고    scopus 로고
    • Analytic hierarchy process (AHP) in group decision making and its optimization with an allocation of information granularity
    • W. Pedrycz, and M.L. Song Analytic hierarchy process (AHP) in group decision making and its optimization with an allocation of information granularity IEEE Trans. Fuzzy Syst. 19 3 2011 527 539
    • (2011) IEEE Trans. Fuzzy Syst. , vol.19 , Issue.3 , pp. 527-539
    • Pedrycz, W.1    Song, M.L.2
  • 29
    • 0023432320 scopus 로고
    • Uncertainty and rank order in the analytic hierarchy process
    • T.L. Saaty, and L.G. Vargas Uncertainty and rank order in the analytic hierarchy process Eur. J. Oper. Res. 32 1987 107 117
    • (1987) Eur. J. Oper. Res. , vol.32 , pp. 107-117
    • Saaty, T.L.1    Vargas, L.G.2
  • 31
    • 0025700929 scopus 로고
    • Eigenvector and logarithmic least squares
    • T.L. Saaty Eigenvector and logarithmic least squares Eur. J. Oper. Res. 48 1990 156 160
    • (1990) Eur. J. Oper. Res. , vol.48 , pp. 156-160
    • Saaty, T.L.1
  • 33
    • 0011580230 scopus 로고    scopus 로고
    • On comparing interval numbers
    • A. Sengupta, and T.K. Pal On comparing interval numbers Eur. J. Oper. Res. 127 2000 28 43
    • (2000) Eur. J. Oper. Res. , vol.127 , pp. 28-43
    • Sengupta, A.1    Pal, T.K.2
  • 34
    • 0021374330 scopus 로고
    • Fuzzy preference orderings in group decision making
    • T. Tanino Fuzzy preference orderings in group decision making Fuzzy Sets Syst. 12 1984 117 131
    • (1984) Fuzzy Sets Syst. , vol.12 , pp. 117-131
    • Tanino, T.1
  • 35
    • 17644384058 scopus 로고    scopus 로고
    • A two-stage logarithmic goal programming method for generating weights from interval comparison matrices
    • Y.M. Wang, J.B. Yang, and D.L. Xu A two-stage logarithmic goal programming method for generating weights from interval comparison matrices Fuzzy Sets Syst. 152 2005 475 498
    • (2005) Fuzzy Sets Syst. , vol.152 , pp. 475-498
    • Wang, Y.M.1    Yang, J.B.2    Xu, D.L.3
  • 36
    • 33750487463 scopus 로고    scopus 로고
    • A goal programming method for obtaining interval weights from an interval comparison matrix
    • Y.M. Wang, and T.M.S. Elhag A goal programming method for obtaining interval weights from an interval comparison matrix Eur. J. Oper. Res. 177 2007 458 471
    • (2007) Eur. J. Oper. Res. , vol.177 , pp. 458-471
    • Wang, Y.M.1    Elhag, T.M.S.2
  • 37
    • 33746786525 scopus 로고    scopus 로고
    • On the normalization of interval and fuzzy weights
    • Y.M. Wang, and T.M.S. Elhag On the normalization of interval and fuzzy weights Fuzzy Sets Syst. 157 2006 2456 2471
    • (2006) Fuzzy Sets Syst. , vol.157 , pp. 2456-2471
    • Wang, Y.M.1    Elhag, T.M.S.2
  • 38
    • 10644268480 scopus 로고    scopus 로고
    • A preference aggregation method through the estimation of utility intervals
    • Y.M. Wang, J.B. Yang, and D.L. Xu A preference aggregation method through the estimation of utility intervals Comput. Oper. Res. 32 2005 2027 2049
    • (2005) Comput. Oper. Res. , vol.32 , pp. 2027-2049
    • Wang, Y.M.1    Yang, J.B.2    Xu, D.L.3
  • 39
    • 67549135460 scopus 로고    scopus 로고
    • An approach to multiattribute decision making with interval-valued intuitionistic fuzzy assessments and incomplete weights
    • Z. Wang, K.W. Li, and W. Wang An approach to multiattribute decision making with interval-valued intuitionistic fuzzy assessments and incomplete weights Inform. Sci. 179 2009 3026 3040
    • (2009) Inform. Sci. , vol.179 , pp. 3026-3040
    • Wang, Z.1    Li, K.W.2    Wang, W.3
  • 40
    • 84862823224 scopus 로고    scopus 로고
    • Goal programming approaches to deriving interval weights based on interval fuzzy preference relations
    • Z.J. Wang, and K.W. Li Goal programming approaches to deriving interval weights based on interval fuzzy preference relations Inform. Sci. 193 2012 180 198
    • (2012) Inform. Sci. , vol.193 , pp. 180-198
    • Wang, Z.J.1    Li, K.W.2
  • 41
    • 67650719768 scopus 로고    scopus 로고
    • Research on the priority method of interval fuzzy preference relation
    • M.M. Xia, H.F. Jiang, and C.P. Wei Research on the priority method of interval fuzzy preference relation Appl. Math. Sci. 3 2009 837 843
    • (2009) Appl. Math. Sci. , vol.3 , pp. 837-843
    • Xia, M.M.1    Jiang, H.F.2    Wei, C.P.3
  • 42
    • 33751563321 scopus 로고    scopus 로고
    • A C-OWA operator-based approach to decision making with interval fuzzy preference relation
    • Z.S. Xu A C-OWA operator-based approach to decision making with interval fuzzy preference relation Int. J. Intell. Syst. 21 2006 1289 1298
    • (2006) Int. J. Intell. Syst. , vol.21 , pp. 1289-1298
    • Xu, Z.S.1
  • 43
    • 34548452440 scopus 로고    scopus 로고
    • Some models for deriving the priority weights from interval fuzzy preference relations
    • Z.S. Xu, and J. Chen Some models for deriving the priority weights from interval fuzzy preference relations Eur. J. Oper. Res. 184 2008 266 280
    • (2008) Eur. J. Oper. Res. , vol.184 , pp. 266-280
    • Xu, Z.S.1    Chen, J.2
  • 44
    • 2342500645 scopus 로고    scopus 로고
    • Study on the relation between two classes of scales in AHP
    • Z.S. Xu Study on the relation between two classes of scales in AHP Syst. Eng. Theory Pract. 7 1999 97 101
    • (1999) Syst. Eng. Theory Pract. , vol.7 , pp. 97-101
    • Xu, Z.S.1
  • 45
    • 33845341371 scopus 로고    scopus 로고
    • Transformation relations between reciprocal and complementary judgment matrices and their integrated prioritization approaches
    • Z.S. Xu Transformation relations between reciprocal and complementary judgment matrices and their integrated prioritization approaches Syst. Eng. Electron. 24 2002 60 63
    • (2002) Syst. Eng. Electron. , vol.24 , pp. 60-63
    • Xu, Z.S.1
  • 46
    • 77958106873 scopus 로고    scopus 로고
    • Group consensus algorithms based on preference relations
    • Z.S. Xu, and X.Q. Cai Group consensus algorithms based on preference relations Inform. Sci. 181 2011 150 162
    • (2011) Inform. Sci. , vol.181 , pp. 150-162
    • Xu, Z.S.1    Cai, X.Q.2
  • 47
    • 4844222318 scopus 로고    scopus 로고
    • OWA aggregation over a continuous interval argument with applications to decision making
    • R.R. Yager OWA aggregation over a continuous interval argument with applications to decision making IEEE Trans. Syst. Man Cybernet. Part B. Cybernet. 34 2004 1952 1963
    • (2004) IEEE Trans. Syst. Man Cybernet. Part B. Cybernet. , vol.34 , pp. 1952-1963
    • Yager, R.R.1
  • 48
    • 69549095697 scopus 로고    scopus 로고
    • On the dispersion measure of OWA operators
    • R.R. Yager On the dispersion measure of OWA operators Inform. Sci. 179 2009 3908 3919
    • (2009) Inform. Sci. , vol.179 , pp. 3908-3919
    • Yager, R.R.1
  • 49
    • 80054971719 scopus 로고    scopus 로고
    • A multiplicative approach to derive weights in the interval analytic hierarchy process
    • J.R. Yu, Yu-wen Hsiao, and Her-Jiun Sheu A multiplicative approach to derive weights in the interval analytic hierarchy process Int. J. Fuzzy Syst. 13 3 2011 225 231
    • (2011) Int. J. Fuzzy Syst. , vol.13 , Issue.3 , pp. 225-231
    • Yu, J.R.1    Hsiao, Y.-W.2    Sheu, H.-J.3
  • 50
    • 79954544206 scopus 로고    scopus 로고
    • New approach to determine the priorities from interval fuzzy preference relations
    • Q. Yue, Z.P. Fan, and L.H. Shi New approach to determine the priorities from interval fuzzy preference relations J. Syst. Eng. Electron. 22 2011 267 273
    • (2011) J. Syst. Eng. Electron. , vol.22 , pp. 267-273
    • Yue, Q.1    Fan, Z.P.2    Shi, L.H.3


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.