메뉴 건너뛰기




Volumn 190, Issue , 2012, Pages 27-55

Models to determine parameterized ordered weighted averaging operators using optimization criteria

Author keywords

Analytical solution; Medianness function; Operator; Optimization model; Ordered weighted averaging (OWA); Orness function

Indexed keywords

ANALYTICAL MODELS; ENTROPY; FUZZY SETS; OPTIMIZATION; STATISTICAL METHODS;

EID: 84865610958     PISSN: 00200255     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.ins.2011.12.007     Document Type: Article
Times cited : (43)

References (78)
  • 1
    • 33747614116 scopus 로고    scopus 로고
    • On the properties of OWA operator weights functions with constant level of orness
    • B.S. Ahn, On the properties of OWA operator weights functions with constant level of orness, IEEE Transactions on Fuzzy Systems 14 (4) (2006) 511- 515.
    • (2006) IEEE Transactions on Fuzzy Systems , vol.14 , Issue.4 , pp. 511-515
    • Ahn, B.S.1
  • 2
    • 36349008255 scopus 로고    scopus 로고
    • Preference relation approach for obtaining OWA operators weights
    • B.S. Ahn, Preference relation approach for obtaining OWA operators weights, International Journal of Approximate Reasoning 47 (2) (2008) 166-178.
    • (2008) International Journal of Approximate Reasoning , vol.47 , Issue.2 , pp. 166-178
    • Ahn, B.S.1
  • 3
    • 33747752471 scopus 로고    scopus 로고
    • An extended minimax disparity to determine the OWA operator weights
    • G.R. Amin, A. Emrouznejad, An extended minimax disparity to determine the OWA operator weights, Computers and Industrial Engineering 50 (3) (2006) 312-316.
    • (2006) Computers and Industrial Engineering , vol.50 , Issue.3 , pp. 312-316
    • Amin, G.R.1    Emrouznejad, A.2
  • 11
    • 0038209401 scopus 로고    scopus 로고
    • A note on the reciprocity in the aggregation of fuzzy preference relations using OWA operators
    • F. Chiclana, F. Herrera, E. Herrera-Viedma, L. Martínez, A note on the reciprocity in the aggregation of fuzzy preference relations using OWA operators, Fuzzy Sets and Systems 137 (1) (2003) 71-83.
    • (2003) Fuzzy Sets and Systems , vol.137 , Issue.1 , pp. 71-83
    • Chiclana, F.1    Herrera, F.2    Herrera-Viedma, E.3    Martínez, L.4
  • 13
    • 37249042719 scopus 로고    scopus 로고
    • Continuous preference logic for system evaluation
    • J.J. Dujmović, Continuous preference logic for system evaluation, IEEE Transactions on Fuzzy Systems 15 (6) (2007) 1082-1099.
    • (2007) IEEE Transactions on Fuzzy Systems , vol.15 , Issue.6 , pp. 1082-1099
    • Dujmović, J.J.1
  • 15
    • 54949127155 scopus 로고    scopus 로고
    • MP-OWA: The most preferred OWA operator
    • A. Emrouznejad, MP-OWA: The most preferred OWA operator, Knowledge-Based Systems 21 (2008) 847-851.
    • (2008) Knowledge-Based Systems , vol.21 , pp. 847-851
    • Emrouznejad, A.1
  • 16
    • 75149185363 scopus 로고    scopus 로고
    • Improving minimax disparity model to determine the OWA operator weights
    • A. Emrouznejad, G.R. Amin, Improving minimax disparity model to determine the OWA operator weights, Information Sciences 180 (8) (2010) 1477- 1485.
    • (2010) Information Sciences , vol.180 , Issue.8 , pp. 1477-1485
    • Emrouznejad, A.1    Amin, G.R.2
  • 17
    • 0029344443 scopus 로고
    • Analytic properties of maximum entropy OWA operators
    • D. Filev, R.R. Yager, Analytic properties of maximum entropy OWA operators, Information Sciences 85 (1-3) (1995) 11-27.
    • (1995) Information Sciences , vol.85 , Issue.1-3 , pp. 11-27
    • Filev, D.1    Yager, R.R.2
  • 18
    • 0000565333 scopus 로고    scopus 로고
    • On the issue of obtaining OWA operator weights
    • D. Filev, R.R. Yager, On the issue of obtaining OWA operator weights, Fuzzy Sets and Systems 94 (2) (1998) 157-169.
    • (1998) Fuzzy Sets and Systems , vol.94 , Issue.2 , pp. 157-169
    • Filev, D.1    Yager, R.R.2
  • 19
    • 0035900270 scopus 로고    scopus 로고
    • An analytic approach for obtaining maximal entropy OWA operator weights
    • R. Fullér, P. Majlender, An analytic approach for obtaining maximal entropy OWA operator weights, Fuzzy Sets and Systems 124 (1) (2001) 53-57.
    • (2001) Fuzzy Sets and Systems , vol.124 , Issue.1 , pp. 53-57
    • Fullér, R.1    Majlender, P.2
  • 20
    • 0038220041 scopus 로고    scopus 로고
    • On obtaining minimal variability OWA operator weights
    • R. Fullér, P. Majlender, On obtaining minimal variability OWA operator weights, Fuzzy Sets and Systems 136 (2) (2003) 203-215.
    • (2003) Fuzzy Sets and Systems , vol.136 , Issue.2 , pp. 203-215
    • Fullér, R.1    Majlender, P.2
  • 21
    • 0030127762 scopus 로고    scopus 로고
    • Direct approach processes in group decision making using linguistic OWA operators
    • F. Herrera, E. Herrera-Viedma, J. Verdegay, Direct approach processes in group decision making using linguistic OWA operators, Fuzzy Sets and Systems 79 (2) (1996) 175-190.
    • (1996) Fuzzy Sets and Systems , vol.79 , Issue.2 , pp. 175-190
    • Herrera, F.1    Herrera-Viedma, E.2    Verdegay, J.3
  • 23
    • 30544450507 scopus 로고    scopus 로고
    • Preference solution of probability decision making with RIM quantifiers
    • X. Liu, Preference solution of probability decision making with RIM quantifiers, International Journal of Intelligent Systems 20 (12) (2005) 1253-1271.
    • (2005) International Journal of Intelligent Systems , vol.20 , Issue.12 , pp. 1253-1271
    • Liu, X.1
  • 24
    • 33746373479 scopus 로고    scopus 로고
    • On the properties of equidifferent OWA operator
    • X. Liu, On the properties of equidifferent OWA operator, International Journal of Approximate Reasoning 43 (1) (2006) 90-107.
    • (2006) International Journal of Approximate Reasoning , vol.43 , Issue.1 , pp. 90-107
    • Liu, X.1
  • 25
    • 33947227224 scopus 로고    scopus 로고
    • An orness measure for quasi-Arithmetic means
    • X. Liu, An orness measure for quasi-Arithmetic means, IEEE Transactions on Fuzzy Systems 14 (6) (2006) 837-848.
    • (2006) IEEE Transactions on Fuzzy Systems , vol.14 , Issue.6 , pp. 837-848
    • Liu, X.1
  • 26
    • 31744446021 scopus 로고    scopus 로고
    • Some properties of the weighted OWA operator, IEEE Transactions on Systems, Man and Cybernetics
    • X. Liu, Some properties of the weighted OWA operator, IEEE Transactions on Systems, Man and Cybernetics, Part B 36 (1) (2006) 118-127.
    • (2006) Part B , vol.36 , Issue.1 , pp. 118-127
    • Liu, X.1
  • 27
    • 34247281493 scopus 로고    scopus 로고
    • The solution equivalence of minimax disparity and minimum variance problems for OWA operator
    • X. Liu, The solution equivalence of minimax disparity and minimum variance problems for OWA operator, International Journal of Approximate Reasoning 45 (1) (2007) 68-81.
    • (2007) International Journal of Approximate Reasoning , vol.45 , Issue.1 , pp. 68-81
    • Liu, X.1
  • 28
    • 42649110043 scopus 로고    scopus 로고
    • A general model of parameterized OWA aggregation with given orness level
    • X. Liu, A general model of parameterized OWA aggregation with given orness level, International Journal of Approximate Reasoning 48 (2) (2008) 598- 627.
    • (2008) International Journal of Approximate Reasoning , vol.48 , Issue.2 , pp. 598-627
    • Liu, X.1
  • 29
    • 0346969564 scopus 로고    scopus 로고
    • On the properties of parametric geometric OWA operator
    • X. Liu, L. Chen, On the properties of parametric geometric OWA operator, International Journal of Approximate Reasoning 35 (2) (2004) 163-178.
    • (2004) International Journal of Approximate Reasoning , vol.35 , Issue.2 , pp. 163-178
    • Liu, X.1    Chen, L.2
  • 30
    • 40049112380 scopus 로고    scopus 로고
    • Orness and parameterized RIM quantifier aggregation with OWA operators: A summary
    • X. Liu, S. Han, Orness and parameterized RIM quantifier aggregation with OWA operators: A summary, International Journal of Approximate Reasoning 48 (1) (2008) 77-97.
    • (2008) International Journal of Approximate Reasoning , vol.48 , Issue.1 , pp. 77-97
    • Liu, X.1    Han, S.2
  • 31
    • 59149085569 scopus 로고    scopus 로고
    • Parameterized defuzzification with continuous weighted quasi-Arithmetic means-An extension
    • X.W. Liu, Parameterized defuzzification with continuous weighted quasi-Arithmetic means-An extension, Information Sciences 179 (8) (2009) 1193- 1206.
    • (2009) Information Sciences , vol.179 , Issue.8 , pp. 1193-1206
    • Liu, X.W.1
  • 32
    • 76049119185 scopus 로고    scopus 로고
    • The orness measures for two compound quasi-Arithmetic mean aggregation operators
    • X.W. Liu, The orness measures for two compound quasi-Arithmetic mean aggregation operators, International Journal of Approximate Reasoning 51 (3) (2010) 305-334.
    • (2010) International Journal of Approximate Reasoning , vol.51 , Issue.3 , pp. 305-334
    • Liu, X.W.1
  • 33
    • 24044544591 scopus 로고    scopus 로고
    • OWA operators with maximal Rényi entropy
    • P. Majlender, OWA operators with maximal Rényi entropy, Fuzzy Sets and Systems 155 (3) (2005) 340-360.
    • (2005) Fuzzy Sets and Systems , vol.155 , Issue.3 , pp. 340-360
    • Majlender, P.1
  • 34
    • 0007963241 scopus 로고    scopus 로고
    • Behavioral analysis of aggregation in multicriteria decision aid
    • J. Fodor, B. de Baets, P. Perny (Eds.) Studies in Fuzziness and Soft Computing, Physica Verlag, Heidelberg
    • J.L. Marichal, Behavioral analysis of aggregation in multicriteria decision aid, in: J. Fodor, B. de Baets, P. Perny (Eds.), Preferences and Decisions under Incomplete Knowledge, Studies in Fuzziness and Soft Computing, vol. 51, Physica Verlag, Heidelberg, 2000.
    • (2000) Preferences and Decisions under Incomplete Knowledge , vol.51
    • Marichal, J.L.1
  • 35
    • 0742266965 scopus 로고    scopus 로고
    • Tolerant or intolerant character of interacting criteria in aggregation by the Choquet integral
    • J.L. Marichal, Tolerant or intolerant character of interacting criteria in aggregation by the Choquet integral, European Journal of Operational Research 155 (3) (2004) 771-791.
    • (2004) European Journal of Operational Research , vol.155 , Issue.3 , pp. 771-791
    • Marichal, J.L.1
  • 36
    • 77950595722 scopus 로고    scopus 로고
    • Fuzzy decision making with immediate probabilities
    • J.M. Merigo, Fuzzy decision making with immediate probabilities, Computers and Industrial Engineering 58 (4) (2010) 651-657.
    • (2010) Computers and Industrial Engineering , vol.58 , Issue.4 , pp. 651-657
    • Merigo, J.M.1
  • 37
    • 58049114586 scopus 로고    scopus 로고
    • The induced generalized OWA operator
    • J.M. Merigo, A.M. Gil-Lafuente, The induced generalized OWA operator, Information Sciences 179 (6) (2009) 729-741.
    • (2009) Information Sciences , vol.179 , Issue.6 , pp. 729-741
    • Merigo, J.M.1    Gil-Lafuente, A.M.2
  • 38
    • 77649335761 scopus 로고    scopus 로고
    • New decision-making techniques and their application in the selection of financial products
    • J.M. Merigo, A.M. Gil-Lafuente, New decision-making techniques and their application in the selection of financial products, Information Sciences 180 (11) (2010) 2085-2094.
    • (2010) Information Sciences , vol.180 , Issue.11 , pp. 2085-2094
    • Merigo, J.M.1    Gil-Lafuente, A.M.2
  • 39
    • 0001832291 scopus 로고
    • Aggregating template or rule antecedents in real-time expert systems with fuzzy set
    • P. Grove (Ed.) Computers, CA
    • M. O'Hagan, Aggregating template or rule antecedents in real-time expert systems with fuzzy set, in: P. Grove (Ed.), Proc. 22nd Annu. IEEE Asilomar Conf. on Signals, Systems, Computers, CA, 1988.
    • (1988) Proc. 22nd Annu. IEEE Asilomar Conf. on Signals, Systems
    • O'Hagan, M.1
  • 41
    • 34248167031 scopus 로고    scopus 로고
    • Probability density functions based weights for ordered weighted averaging (OWA) operators: An example of water quality indices
    • R. Sadiq, S. Tesfamariam, Probability density functions based weights for ordered weighted averaging (OWA) operators: An example of water quality indices, European Journal of Operational Research 182 (3) (2007) 1350-1368.
    • (2007) European Journal of Operational Research , vol.182 , Issue.3 , pp. 1350-1368
    • Sadiq, R.1    Tesfamariam, S.2
  • 42
    • 17644446951 scopus 로고    scopus 로고
    • Extending Yager's orness concept for the OWA aggregators to other mean operators
    • J.M.F. Salido, S. Murakami, Extending Yager's orness concept for the OWA aggregators to other mean operators, Fuzzy Sets and Systems 139 (3) (2003) 515-542.
    • (2003) Fuzzy Sets and Systems , vol.139 , Issue.3 , pp. 515-542
    • Salido, J.M.F.1    Murakami, S.2
  • 45
    • 7244249953 scopus 로고    scopus 로고
    • OWA operators in data modeling and reidentification
    • V. Torra, OWA operators in data modeling and reidentification, IEEE Transactions on Fuzzy Systems 12 (5) (2004) 652-660.
    • (2004) IEEE Transactions on Fuzzy Systems , vol.12 , Issue.5 , pp. 652-660
    • Torra, V.1
  • 47
  • 48
    • 34249298300 scopus 로고    scopus 로고
    • Aggregating preference rankings using OWA operator weights
    • Y. Wang, Y. Luo, Z. Hua, Aggregating preference rankings using OWA operator weights, Information Sciences 177 (16) (2007) 3356-3363.
    • (2007) Information Sciences , vol.177 , Issue.16 , pp. 3356-3363
    • Wang, Y.1    Luo, Y.2    Hua, Z.3
  • 50
    • 22144448575 scopus 로고    scopus 로고
    • A minimax disparity approach for obtaining OWA operator weights
    • Y. Wang, C. Parkan, A minimax disparity approach for obtaining OWA operator weights, Information Sciences 175 (1) (2005) 20-29.
    • (2005) Information Sciences , vol.175 , Issue.1 , pp. 20-29
    • Wang, Y.1    Parkan, C.2
  • 51
    • 33846630009 scopus 로고    scopus 로고
    • A preemptive goal programming method for aggregating OWA operator weights in group decision making
    • Y. Wang, C. Parkan, A preemptive goal programming method for aggregating OWA operator weights in group decision making, Information Sciences 177 (2007) 1867-1877.
    • (2007) Information Sciences , vol.177 , pp. 1867-1877
    • Wang, Y.1    Parkan, C.2
  • 52
    • 33846807176 scopus 로고    scopus 로고
    • An argument-dependent approach to determining OWA operator weights based on the rule of maximum entropy
    • J. Wu, C.Y. Liang, Y.Q. Huang, An argument-dependent approach to determining OWA operator weights based on the rule of maximum entropy, International Journal of Intelligent Systems 22 (2) (2007) 209-221.
    • (2007) International Journal of Intelligent Systems , vol.22 , Issue.2 , pp. 209-221
    • Wu, J.1    Liang, C.Y.2    Huang, Y.Q.3
  • 54
    • 4944244985 scopus 로고    scopus 로고
    • A method based on linguistic aggregation operators for group decision making with linguistic preference relations
    • Z.-S. Xu, A method based on linguistic aggregation operators for group decision making with linguistic preference relations, Information Sciences 166 (1-4) (2004) 19-30.
    • (2004) Information Sciences , vol.166 , Issue.1-4 , pp. 19-30
    • Xu, Z.-S.1
  • 55
    • 24944462936 scopus 로고    scopus 로고
    • An overview of methods for determining OWA weights
    • Z.S. Xu, An overview of methods for determining OWA weights, International Journal of Intelligent Systems 20 (8) (2005) 843-865.
    • (2005) International Journal of Intelligent Systems , vol.20 , Issue.8 , pp. 843-865
    • Xu, Z.S.1
  • 56
    • 0023855863 scopus 로고
    • On ordered weighted averaging aggregation operators in multicriteria decision making
    • R.R. Yager, On ordered weighted averaging aggregation operators in multicriteria decision making, IEEE Transactions on Systems, Man and Cybernetics 18 (1) (1988) 183-190.
    • (1988) IEEE Transactions on Systems, Man and Cybernetics , vol.18 , Issue.1 , pp. 183-190
    • Yager, R.R.1
  • 57
    • 0027676898 scopus 로고
    • Families of OWA operators
    • R.R. Yager, Families of OWA operators, Fuzzy Sets and Systems 59 (2) (1993) 125-143.
    • (1993) Fuzzy Sets and Systems , vol.59 , Issue.2 , pp. 125-143
    • Yager, R.R.1
  • 58
    • 0029778561 scopus 로고    scopus 로고
    • Quantifier guided aggregation using OWA operators
    • R.R. Yager, Quantifier guided aggregation using OWA operators, International Journal of Intelligent Systems 11 (1) (1996) 49-73.
    • (1996) International Journal of Intelligent Systems , vol.11 , Issue.1 , pp. 49-73
    • Yager, R.R.1
  • 59
    • 0032595160 scopus 로고    scopus 로고
    • Decision making with fuzzy probability assessments
    • R.R. Yager, Decision making with fuzzy probability assessments, IEEE Transactions on Fuzzy Systems 7 (4) (1999) 462-467.
    • (1999) IEEE Transactions on Fuzzy Systems , vol.7 , Issue.4 , pp. 462-467
    • Yager, R.R.1
  • 60
    • 0033879978 scopus 로고    scopus 로고
    • Fuzzy modeling for intelligent decision making under uncertainty, IEEE Transactions on Systems, Man and Cybernetics
    • R.R. Yager, Fuzzy modeling for intelligent decision making under uncertainty, IEEE Transactions on Systems, Man and Cybernetics, Part B 30 (1) (2000) 60-70.
    • (2000) Part B , vol.30 , Issue.1 , pp. 60-70
    • Yager, R.R.1
  • 61
    • 0008545011 scopus 로고    scopus 로고
    • A hierarchical document retrieval language
    • R.R. Yager, A hierarchical document retrieval language, Information Retrieval 3 (4) (2000) 357-377.
    • (2000) Information Retrieval , vol.3 , Issue.4 , pp. 357-377
    • Yager, R.R.1
  • 62
    • 0038047679 scopus 로고    scopus 로고
    • Induced aggregation operators
    • R.R. Yager, Induced aggregation operators, Fuzzy Sets and Systems 137 (1) (2003) 59-69.
    • (2003) Fuzzy Sets and Systems , vol.137 , Issue.1 , pp. 59-69
    • Yager, R.R.1
  • 63
  • 64
    • 4844222318 scopus 로고    scopus 로고
    • OWA aggregation over a continuous interval argument with applications to decision making, IEEE Transactions on Systems, Man and Cybernetics
    • R.R. Yager, OWA aggregation over a continuous interval argument with applications to decision making, IEEE Transactions on Systems, Man and Cybernetics, Part B 34 (5) (2004) 1952-1963.
    • (2004) Part B , vol.34 , Issue.5 , pp. 1952-1963
    • Yager, R.R.1
  • 65
    • 27944494029 scopus 로고    scopus 로고
    • An extension of the naive bayesian classifier
    • R.R. Yager, An extension of the naive bayesian classifier, Information Sciences 176 (5) (2006) 577-588.
    • (2006) Information Sciences , vol.176 , Issue.5 , pp. 577-588
    • Yager, R.R.1
  • 66
    • 33847208486 scopus 로고    scopus 로고
    • Centered OWA operators
    • R.R. Yager, Centered OWA operators, Soft Computing 11 (7) (2007) 631-639.
    • (2007) Soft Computing , vol.11 , Issue.7 , pp. 631-639
    • Yager, R.R.1
  • 67
    • 34548784671 scopus 로고    scopus 로고
    • Using stress functions to obtain OWA operators
    • R.R. Yager, Using stress functions to obtain OWA operators, IEEE Transactions on Fuzzy Systems 15 (6) (2007) 1122-1129.
    • (2007) IEEE Transactions on Fuzzy Systems , vol.15 , Issue.6 , pp. 1122-1129
    • Yager, R.R.1
  • 68
    • 50549092695 scopus 로고    scopus 로고
    • Time series smoothing and OWA aggregation
    • R.R. Yager, Time series smoothing and OWA aggregation, IEEE Transactions on Fuzzy Systems 16 (4) (2008) 994-1007.
    • (2008) IEEE Transactions on Fuzzy Systems , vol.16 , Issue.4 , pp. 994-1007
    • Yager, R.R.1
  • 69
    • 69549095697 scopus 로고    scopus 로고
    • On the dispersion measure of OWA operators
    • R.R. Yager, On the dispersion measure of OWA operators, Information Sciences 179 (22) (2009) 3908-3919.
    • (2009) Information Sciences , vol.179 , Issue.22 , pp. 3908-3919
    • Yager, R.R.1
  • 72
    • 0033116148 scopus 로고    scopus 로고
    • Induced ordered weighted averaging operators, IEEE Transactions on Systems, Man and Cybernetics
    • R.R. Yager, D.P. Filev, Induced ordered weighted averaging operators, IEEE Transactions on Systems, Man and Cybernetics, Part B 29 (2) (1999) 141- 150.
    • (1999) Part B , vol.29 , Issue.2 , pp. 141-150
    • Yager, R.R.1    Filev, D.P.2
  • 74
    • 18144388681 scopus 로고    scopus 로고
    • Toward a generalized theory of uncertainty (GTU)-An outline
    • L.A. Zadeh, Toward a generalized theory of uncertainty (GTU)-An outline, Information Sciences 172 (1-2) (2005) 1-40.
    • (2005) Information Sciences , vol.172 , Issue.1-2 , pp. 1-40
    • Zadeh, L.A.1
  • 75
    • 42749097020 scopus 로고    scopus 로고
    • Is there a need for fuzzy logic?
    • L.A. Zadeh, Is there a need for fuzzy logic?, Information Sciences 178 (13) (2008) 2751-2779
    • (2008) Information Sciences , vol.178 , Issue.13 , pp. 2751-2779
    • Zadeh, L.A.1
  • 76
    • 69249210932 scopus 로고    scopus 로고
    • Toward extended fuzzy logic-A first step
    • L.A. Zadeh, Toward extended fuzzy logic-A first step, Fuzzy Sets and Systems 160 (21) (2009) 3175-3181.
    • (2009) Fuzzy Sets and Systems , vol.160 , Issue.21 , pp. 3175-3181
    • Zadeh, L.A.1
  • 77
    • 27844605931 scopus 로고    scopus 로고
    • Computing with words for text processing: An approach to the text categorization
    • S. Zadrozny, J. Kacprzyk, Computing with words for text processing: An approach to the text categorization, Information Sciences 176 (4) (2006) 415- 437.
    • (2006) Information Sciences , vol.176 , Issue.4 , pp. 415-437
    • Zadrozny, S.1    Kacprzyk, J.2
  • 78
    • 77649337673 scopus 로고    scopus 로고
    • On the relation between compromise programming and ordered weighted averaging operator
    • M. Zarghami, F. Szidarovszky, On the relation between compromise programming and ordered weighted averaging operator, Information Sciences 180 (11) (2010) 2239-2248.
    • (2010) Information Sciences , vol.180 , Issue.11 , pp. 2239-2248
    • Zarghami, M.1    Szidarovszky, F.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.