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Volumn 27, Issue 1, 2014, Pages 49-63

Hesitant fuzzy linguistic aggregation operators and their application to multiple attribute decision making

Author keywords

hesitant fuzzy linguistic arithmetic aggregation operators; hesitant fuzzy linguistic geometric aggregation operators; hesitant fuzzy linguistic values; Multiple attribute decision making (MADM); power aggregation; prioritized aggregation

Indexed keywords

COMPUTATIONAL LINGUISTICS; DECISION MAKING; GEOMETRY; LINGUISTICS;

EID: 84924528830     PISSN: 10641246     EISSN: 18758967     Source Type: Journal    
DOI: 10.3233/IFS-130977     Document Type: Article
Times cited : (67)

References (59)
  • 1
    • 0002740725 scopus 로고
    • Intuitionistic fuzzy sets
    • K. Atanassov, Intuitionistic fuzzy sets, Fuzzy Sets and Systems 20 (1986), 87-96.
    • (1986) Fuzzy Sets and Systems , vol.20 , pp. 87-96
    • Atanassov, K.1
  • 2
    • 38249004171 scopus 로고
    • More on intuitionistic fuzzy sets
    • K. Atanassov, More on intuitionistic fuzzy sets, Fuzzy Sets and Systems 33 (1989), 37-46.
    • (1989) Fuzzy Sets and Systems , vol.33 , pp. 37-46
    • Atanassov, K.1
  • 3
    • 0347705514 scopus 로고    scopus 로고
    • Two theorems for intuitionistic fuzzy sets
    • K. Atanassov, Two theorems for intuitionistic fuzzy sets, Fuzzy Sets and Systems 110 (2000), 267-269.
    • (2000) Fuzzy Sets and Systems , vol.110 , pp. 267-269
    • Atanassov, K.1
  • 5
    • 80053565258 scopus 로고    scopus 로고
    • Experimental analysis of multi-attribute decision making based on Atanassov intuitionistic fuzzy sets: A discussion of anchor dependency and accuracy functions
    • T.Y. Chen, Experimental analysis of multi-attribute decision making based on Atanassov intuitionistic fuzzy sets: A discussion of anchor dependency and accuracy functions, International Journal of Systems Science 43(6) (2012), 1077-1103.
    • (2012) International Journal of Systems Science , vol.43 , Issue.6 , pp. 1077-1103
    • Chen, T.Y.1
  • 6
    • 84865979925 scopus 로고    scopus 로고
    • Nonlinear assignment-based methods for interval-valued intuitionistic fuzzy multi-criteria decision analysis with incomplete preference information
    • T.Y. Chen, Nonlinear assignment-based methods for interval-valued intuitionistic fuzzy multi-criteria decision analysis with incomplete preference information, International Journal of Information Technology & Decision Making 11(4) (2012), 821-855.
    • (2012) International Journal of Information Technology & Decision Making , vol.11 , Issue.4 , pp. 821-855
    • Chen, T.Y.1
  • 7
    • 84862822062 scopus 로고    scopus 로고
    • Multiattribute decision making based on interval-valued intuitionistic fuzzy values
    • S.M. Chen, L.W. Lee, H.C. Liu and S.W. Yang, Multiattribute decision making based on interval-valued intuitionistic fuzzy values, Expert Systems with Applications 39(12) (2012), 10343-10351.
    • (2012) Expert Systems with Applications , vol.39 , Issue.12 , pp. 10343-10351
    • Chen, S.M.1    Lee, L.W.2    Liu, H.C.3    Yang, S.W.4
  • 8
    • 33751331720 scopus 로고    scopus 로고
    • Multi-criteria decision-making methods based on intuitionistic fuzzy sets
    • H.W. Liu and G.J. Wang, Multi-criteria decision-making methods based on intuitionistic fuzzy sets, European Journal of Operational Research 179 (2007), 220-233.
    • (2007) European Journal of Operational Research , vol.179 , pp. 220-233
    • Liu, H.W.1    Wang, G.J.2
  • 9
    • 84861577869 scopus 로고    scopus 로고
    • Methods for aggregating intuitionistic uncertain linguistic variables and their application to group decision making
    • P. Liu and F. Jin, Methods for aggregating intuitionistic uncertain linguistic variables and their application to group decision making, Information Sciences 205 (2012), 58-71.
    • (2012) Information Sciences , vol.205 , pp. 58-71
    • Liu, P.1    Jin, F.2
  • 10
    • 70349472932 scopus 로고    scopus 로고
    • Correlation coefficient of interval-valued intuitionistic fuzzy sets and its application to multiple attribute group decision making problems
    • J.H. Park, Y. Park, C.K. Young and T. Xue, Correlation coefficient of interval-valued intuitionistic fuzzy sets and its application to multiple attribute group decision making problems, Mathematical and Computer Modeling 50 (2009), 1279-1293.
    • (2009) Mathematical and Computer Modeling , vol.50 , pp. 1279-1293
    • Park, J.H.1    Park, Y.2    Young, C.K.3    Xue, T.4
  • 11
    • 78751632458 scopus 로고    scopus 로고
    • Extension of the TOPSIS method for decision making problems under interval-valued intuitionistic fuzzy environment
    • J.H. Park, I.Y. Park, Y.C. Kwun and X. Tan, Extension of the TOPSIS method for decision making problems under interval-valued intuitionistic fuzzy environment, Applied Mathematical Modelling 35(5) (2011), 2544-2556.
    • (2011) Applied Mathematical Modelling , vol.35 , Issue.5 , pp. 2544-2556
    • Park, J.H.1    Park, I.Y.2    Kwun, Y.C.3    Tan, X.4
  • 12
    • 33750916532 scopus 로고    scopus 로고
    • Some geometric aggregation operators based on intuitionistic fuzzy sets
    • Z.S. Xu and R.R. Yager, Some geometric aggregation operators based on intuitionistic fuzzy sets, International Journal of General Systems 35 (2006), 417-433.
    • (2006) International Journal of General Systems , vol.35 , pp. 417-433
    • Xu, Z.S.1    Yager, R.R.2
  • 13
    • 37249067095 scopus 로고    scopus 로고
    • Intuitionistic fuzzy aggregation operators
    • Z.S. Xu, Intuitionistic fuzzy aggregation operators, IEEE Transactions on Fuzzy Systems 15 (2007), 1179-1187.
    • (2007) IEEE Transactions on Fuzzy Systems , vol.15 , pp. 1179-1187
    • Xu, Z.S.1
  • 14
    • 77952741966 scopus 로고    scopus 로고
    • A deviation-based approach to intuitionistic fuzzy multiple attribute group decision making
    • Z.S. Xu, A deviation-based approach to intuitionistic fuzzy multiple attribute group decision making, Group Decision and Negotiation 19 (2010), 57-76.
    • (2010) Group Decision and Negotiation , vol.19 , pp. 57-76
    • Xu, Z.S.1
  • 15
    • 71849091509 scopus 로고    scopus 로고
    • Choquet integrals of weighted intuitionistic fuzzy information
    • Z.S. Xu, Choquet integrals of weighted intuitionistic fuzzy information, Information Sciences 180 (2010), 726-736.
    • (2010) Information Sciences , vol.180 , pp. 726-736
    • Xu, Z.S.1
  • 16
    • 79957508607 scopus 로고    scopus 로고
    • Approaches to multiple attribute group decision making based on intuitionistic fuzzy power aggregation operators
    • Z.S. Xu, Approaches to multiple attribute group decision making based on intuitionistic fuzzy power aggregation operators, Knowledge-Based Systems 24 (2011), 749-760.
    • (2011) Knowledge-Based Systems , vol.24 , pp. 749-760
    • Xu, Z.S.1
  • 17
    • 76349112686 scopus 로고    scopus 로고
    • Linear programming method for multiattribute group decision making using IF sets
    • D.F. Li, G.H. Chen and Z.G. Huang, Linear programming method for multiattribute group decision making using IF sets, Information Sciences 180(9) (2010), 1591-1609.
    • (2010) Information Sciences , vol.180 , Issue.9 , pp. 1591-1609
    • Li, D.F.1    Chen, G.H.2    Huang, Z.G.3
  • 18
    • 78649740253 scopus 로고    scopus 로고
    • Mathematical-programming approach to matrix games with payoffs represented by Atanassov's interval-valued intuitionistic fuzzy sets
    • D.F. Li, Mathematical-programming approach to matrix games with payoffs represented by Atanassov's interval-valued intuitionistic fuzzy sets, IEEE Transactions on Fuzzy Systems 18(6) (2010), 1112-1128.
    • (2010) IEEE Transactions on Fuzzy Systems , vol.18 , Issue.6 , pp. 1112-1128
    • Li, D.F.1
  • 19
    • 65249116941 scopus 로고    scopus 로고
    • Some geometric aggregation functions and their application to dynamic multiple attribute decision making in intuitionistic fuzzy setting
    • G.W. Wei, Some geometric aggregation functions and their application to dynamic multiple attribute decision making in intuitionistic fuzzy setting, International Journal of Uncertainty Fuzziness and Knowledge-Based Systems 17 (2009), 179-196.
    • (2009) International Journal of Uncertainty Fuzziness and Knowledge-Based Systems , vol.17 , pp. 179-196
    • Wei, G.W.1
  • 20
    • 70849120362 scopus 로고    scopus 로고
    • Some induced geometric aggregation operators with intuitionistic fuzzy information and their application to group decision making
    • G.W. Wei, Some induced geometric aggregation operators with intuitionistic fuzzy information and their application to group decision making, Applied Soft Computing 10 (2010), 423-431.
    • (2010) Applied Soft Computing , vol.10 , pp. 423-431
    • Wei, G.W.1
  • 21
    • 79955591477 scopus 로고    scopus 로고
    • Gray relational analysis method for intuitionistic fuzzy multiple attribute decision making
    • G.W. Wei, Gray relational analysis method for intuitionistic fuzzy multiple attribute decision making, Expert Systems with Applications 38 (2011), 11671-11677.
    • (2011) Expert Systems with Applications , vol.38 , pp. 11671-11677
    • Wei, G.W.1
  • 22
    • 75849153235 scopus 로고    scopus 로고
    • Fuzzy decision-making method based on the weighted correlation coefficient under intuitionistic fuzzy environment
    • J. Ye, Fuzzy decision-making method based on the weighted correlation coefficient under intuitionistic fuzzy environment, European Journal of Operational Research 205 (2010), 202-204.
    • (2010) European Journal of Operational Research , vol.205 , pp. 202-204
    • Ye, J.1
  • 23
    • 79151471652 scopus 로고    scopus 로고
    • An approach to aggregating interval numbers into interval-valued intuitionistic fuzzy information for group decision making
    • Z.L. Yue, An approach to aggregating interval numbers into interval-valued intuitionistic fuzzy information for group decision making, Expert Systems with Applications 38(5) (2011), 6333-6338.
    • (2011) Expert Systems with Applications , vol.38 , Issue.5 , pp. 6333-6338
    • Yue, Z.L.1
  • 25
    • 67650476336 scopus 로고    scopus 로고
    • Entropy of interval-valued fuzzy sets based on distance and its relationship with similarity measure
    • H.Y. Zhang, W.X. Zhang and C.L. Mei, Entropy of interval-valued fuzzy sets based on distance and its relationship with similarity measure, Knowledge-Based Systems 22 (2009), 449-454.
    • (2009) Knowledge-Based Systems , vol.22 , pp. 449-454
    • Zhang, H.Y.1    Zhang, W.X.2    Mei, C.L.3
  • 26
    • 78649959959 scopus 로고    scopus 로고
    • An extended TOPSIS method with interval-valued intuitionistic fuzzy numbers for virtual enterprise partner selection
    • F. Ye, An extended TOPSIS method with interval-valued intuitionistic fuzzy numbers for virtual enterprise partner selection, Expert Systems with Applications 37 (2010), 7050-7055.
    • (2010) Expert Systems with Applications , vol.37 , pp. 7050-7055
    • Ye, F.1
  • 29
    • 79551684086 scopus 로고    scopus 로고
    • Hesitant fuzzy information aggregation in decision making
    • M. Xia and Z.S. Xu, Hesitant fuzzy information aggregation in decision making, International Journal of Approximate Reasoning 52(3) (2011), 395-407.
    • (2011) International Journal of Approximate Reasoning , vol.52 , Issue.3 , pp. 395-407
    • Xia, M.1    Xu, Z.S.2
  • 30
    • 84872946596 scopus 로고    scopus 로고
    • Some hesitant fuzzy aggregation operators with their application in group decision Making
    • Z.S. Xu, M. Xia, N. Chen, Some hesitant fuzzy aggregation operators with their application in group decision Making, Group Decision and Negotiation 22(2) (2013), 259-279.
    • (2013) Group Decision and Negotiation , vol.22 , Issue.2 , pp. 259-279
    • Xu, Z.S.1    Xia, M.2    Chen, N.3
  • 31
    • 84860188179 scopus 로고    scopus 로고
    • Hesitant Fuzzy Choquet Integral Aggregation Operators and Their Applications to Multiple Attribute Decision Making, Information
    • G.W. Wei, X.F. Zhao, H.J. Wang and R. Lin, Hesitant Fuzzy Choquet Integral Aggregation Operators and Their Applications to Multiple Attribute Decision Making, Information: An International Interdisciplinary Journal 15(2) (2012), 441-448.
    • (2012) An International Interdisciplinary Journal , vol.15 , Issue.2 , pp. 441-448
    • Wei, G.W.1    Zhao, X.F.2    Wang, H.J.3    Lin, R.4
  • 32
    • 84859891688 scopus 로고    scopus 로고
    • Hesitant Fuzzy prioritized operators and their application to multiple attribute group decision making
    • G.W. Wei, Hesitant Fuzzy prioritized operators and their application to multiple attribute group decision making, Knowledge-Based Systems 31 (2012), 176-182.
    • (2012) Knowledge-Based Systems , vol.31 , pp. 176-182
    • Wei, G.W.1
  • 33
    • 84861580042 scopus 로고    scopus 로고
    • Hesitant fuzzy geometric Bonferroni means
    • B. Zhu, Z.S. Xu, and M.M. Xia, Hesitant fuzzy geometric Bonferroni means, Information Sciences 205(1)(2012), 72-85.
    • (2012) Information Sciences , vol.205 , Issue.1 , pp. 72-85
    • Zhu, B.1    Xu, Z.S.2    Xia, M.M.3
  • 34
    • 79952823793 scopus 로고    scopus 로고
    • Distance and similarity measures for hesitant fuzzy sets
    • Z.S. Xu and M. Xia, Distance and similarity measures for hesitant fuzzy sets, Information Sciences 181(11) (2011), 2128-2138.
    • (2011) Information Sciences , vol.181 , Issue.11 , pp. 2128-2138
    • Xu, Z.S.1    Xia, M.2
  • 35
    • 79952846411 scopus 로고    scopus 로고
    • On distance and correlation measures of hesitant fuzzy information
    • Z.S. Xu and M. Xia, On distance and correlation measures of hesitant fuzzy information, International Journal of Intelligence Systems 26(5) (2011), 410-425.
    • (2011) International Journal of Intelligence Systems , vol.26 , Issue.5 , pp. 410-425
    • Xu, Z.S.1    Xia, M.2
  • 36
    • 84863012896 scopus 로고    scopus 로고
    • Model for Evaluating the Government Archives Website's Construction Based on the GHFHWD Measure with Hesitant Fuzzy Information
    • X.R. Wang, Zh. H. Gao, X.F. Zhao, and G.W. Wei, Model for Evaluating the Government Archives Website's Construction Based on the GHFHWD Measure with Hesitant Fuzzy Information, International Journal of Digital Content Technology and its Applications 5(12) (2011), 418-425.
    • (2011) International Journal of Digital Content Technology and Its Applications , vol.5 , Issue.12 , pp. 418-425
    • Wang, X.R.1    Gao, Zh.H.2    Zhao, X.F.3    Wei, G.W.4
  • 38
    • 0002781537 scopus 로고    scopus 로고
    • Linguistic decision analysis: Steps for solving decision problems under linguistic information
    • F. Herrera and E. Herrera-Viedma, Linguistic decision analysis: Steps for solving decision problems under linguistic information, Fuzzy Sets and Systems 115 (2000), 67-82.
    • (2000) Fuzzy Sets and Systems , vol.115 , pp. 67-82
    • Herrera, F.1    Herrera-Viedma, E.2
  • 39
    • 0034476450 scopus 로고    scopus 로고
    • A 2-tuple fuzzy linguistic representation model for computing withwords
    • F. Herrera and L. Martínez, A 2-tuple fuzzy linguistic representation model for computing withwords, IEEE Transactions on Fuzzy Systems 8 (2000), 746-752.
    • (2000) IEEE Transactions on Fuzzy Systems , vol.8 , pp. 746-752
    • Herrera, F.1    Martínez, L.2
  • 40
    • 27644590275 scopus 로고    scopus 로고
    • A consensus support system model for group decision-making problems with multigranular linguistic preference relations
    • E. Herrera-Viedma, L. Martinez, F. Mata and F. Chiclana, A consensus support system model for group decision-making problems with multigranular linguistic preference relations, IEEE Transactions on Fuzzy Systems 13 (2005), 644-658.
    • (2005) IEEE Transactions on Fuzzy Systems , vol.13 , pp. 644-658
    • Herrera-Viedma, E.1    Martinez, L.2    Mata, F.3    Chiclana, F.4
  • 41
    • 56749105405 scopus 로고    scopus 로고
    • Toward developing agility evaluation of mass customization systems using 2-tuple linguistic computing
    • W.P. Wang, Toward developing agility evaluation of mass customization systems using 2-tuple linguistic computing, Expert Systems with Applications 36(2) (2009), 3439-3447.
    • (2009) Expert Systems with Applications , vol.36 , Issue.2 , pp. 3439-3447
    • Wang, W.P.1
  • 42
    • 84861602885 scopus 로고    scopus 로고
    • An overview on the 2-tuple linguistic model for computing with words in decision making: Extensions, applications and challenges
    • L. Martinez, and F. Herrera, An overview on the 2-tuple linguistic model for computing with words in decision making: Extensions, applications and challenges, Information Sciences 207(10) (2012), 1-18.
    • (2012) Information Sciences , vol.207 , Issue.10 , pp. 1-18
    • Martinez, L.1    Herrera, F.2
  • 43
    • 84875752396 scopus 로고    scopus 로고
    • Induced 2-tuple linguistic generalized aggregation operators and their application in decision-making
    • J.M. Merigó, and A.M. Gil-Lafuente, Induced 2-tuple linguistic generalized aggregation operators and their application in decision-making, Information Sciences 236(1) (2013), 1-16.
    • (2013) Information Sciences , vol.236 , Issue.1 , pp. 1-16
    • Merigó, J.M.1    Gil-Lafuente, A.M.2
  • 44
    • 77957826292 scopus 로고    scopus 로고
    • A method for multiple attribute group decision making based on the ET-WG and ET-OWG operators with 2-tuple linguistic information
    • G.W. Wei, A method for multiple attribute group decision making based on the ET-WG and ET-OWG operators with 2-tuple linguistic information, Expert Systems with Applications 37(12) (2010), 7895-7900.
    • (2010) Expert Systems with Applications , vol.37 , Issue.12 , pp. 7895-7900
    • Wei, G.W.1
  • 45
    • 79955895393 scopus 로고    scopus 로고
    • Some generalized aggregating operators with linguistic information and their application to multiple attribute group decision making
    • G.W. Wei, Some generalized aggregating operators with linguistic information and their application to multiple attribute group decision making, Computers & Industrial Engineering 61(1) (2011), 32-38.
    • (2011) Computers & Industrial Engineering , vol.61 , Issue.1 , pp. 32-38
    • Wei, G.W.1
  • 46
    • 82555200757 scopus 로고    scopus 로고
    • Some harmonic averaging operators with 2-tuple linguistic assessment information and their application to multiple attribute group decision making
    • G.W. Wei, Some harmonic averaging operators with 2-tuple linguistic assessment information and their application to multiple attribute group decision making, International Journal of Uncertainty, Fuzziness and Knowledge- Based Systems 19(6) (2011), 977-998.
    • (2011) International Journal of Uncertainty, Fuzziness and Knowledge- Based Systems , vol.19 , Issue.6 , pp. 977-998
    • Wei, G.W.1
  • 47
    • 84855900986 scopus 로고    scopus 로고
    • Some dependent aggregation operators with 2-tuple linguistic information and their application to multiple attribute group decision making
    • G.W. Wei and X.F. Zhao, Some dependent aggregation operators with 2-tuple linguistic information and their application to multiple attribute group decision making, Expert Systems with Applications 39 (2012), 5881-5886.
    • (2012) Expert Systems with Applications , vol.39 , pp. 5881-5886
    • Wei, G.W.1    Zhao, X.F.2
  • 48
    • 33750529344 scopus 로고    scopus 로고
    • A note on linguistic hybrid arithmetic averaging operator in multiple attribute group decision making with linguistic information
    • Z.S. Xu, A note on linguistic hybrid arithmetic averaging operator in multiple attribute group decision making with linguistic information, Group Decision and Negotiation 15(6) (2006), 593-604.
    • (2006) Group Decision and Negotiation , vol.15 , Issue.6 , pp. 593-604
    • Xu, Z.S.1
  • 49
    • 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) (2004), 19-30.
    • (2004) Information Sciences , vol.166 , Issue.1 , pp. 19-30
    • Xu, Z.S.1
  • 50
    • 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 (1988), 183-190.
    • (1988) IEEE Transactions on Systems Man and Cybernetics , vol.18 , pp. 183-190
    • Yager, R.R.1
  • 53
    • 0000748168 scopus 로고
    • Theory of capacities
    • G. Choquet, Theory of capacities, Ann Inst Fourier 5 (1953), 131-295.
    • (1953) Ann Inst Fourier , vol.5 , pp. 131-295
    • Choquet, G.1
  • 56
    • 0038047679 scopus 로고    scopus 로고
    • Induced aggregation operators
    • R.R. Yager, Induced aggregation operators, Fuzzy Sets and Systems 137 (2003), 59-69.
    • (2003) Fuzzy Sets and Systems , vol.137 , pp. 59-69
    • Yager, R.R.1
  • 59
    • 34347335493 scopus 로고    scopus 로고
    • A model for selecting an ERP system based on linguistic information processing
    • X.W. Liao, Y. Li and B. Lu, A model for selecting an ERP system based on linguistic information processing, Information Systems 32 (2007), 1005-1017.
    • (2007) Information Systems , vol.32 , pp. 1005-1017
    • Liao, X.W.1    Li, Y.2    Lu, B.3


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