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Volumn 32, Issue 5, 2015, Pages

A Multi-Criteria Decision-Making Method Based on Heronian Mean Operators under a Linguistic Hesitant Fuzzy Environment

Author keywords

arithmetic Heronian mean operator; geometric Heronian mean operator; linguistic hesitant fuzzy sets; Multi criteria decision making

Indexed keywords

FUZZY SETS; GEOMETRY; LINGUISTICS;

EID: 84945199500     PISSN: 02175959     EISSN: None     Source Type: Journal    
DOI: 10.1142/S0217595915500359     Document Type: Article
Times cited : (48)

References (62)
  • 1
    • 77953798587 scopus 로고    scopus 로고
    • Improved two-tuple linguistic representation model based on new linguistic evaluation scale
    • Bao, GY, XL Lian, M He and LL Wang (2010). Improved two-tuple linguistic representation model based on new linguistic evaluation scale. Control and Decision, 25(5), 780-784.
    • (2010) Control and Decision , vol.25 , Issue.5 , pp. 780-784
    • Bao, G.Y.1    Lian, X.L.2    He, M.3    Wang, L.L.4
  • 3
    • 0346636333 scopus 로고
    • Decision-making in a fuzzy environment
    • Bellman, RE and LA Zadeh (1970). Decision-making in a fuzzy environment. Management Science, 17(4), B-141.
    • (1970) Management Science , vol.17 , Issue.4 , pp. B-141
    • Bellman, R.E.1    Zadeh, L.A.2
  • 6
    • 0002296389 scopus 로고    scopus 로고
    • Extensions of the TOPSIS for group decision-making under fuzzy environment
    • Chen, CT (2000). Extensions of the TOPSIS for group decision-making under fuzzy environment. Fuzzy Sets and Systems, 114(1), 1-9.
    • (2000) Fuzzy Sets and Systems , vol.114 , Issue.1 , pp. 1-9
    • Chen, C.T.1
  • 7
    • 78549241578 scopus 로고    scopus 로고
    • Multi-criteria decision-making with fuzzy linguistic preference relations
    • Chen, YH, TC Wang and CY Wu (2011). Multi-criteria decision-making with fuzzy linguistic preference relations. Applied Mathematical Modeling, 35(3), 1322-1330.
    • (2011) Applied Mathematical Modeling , vol.35 , Issue.3 , pp. 1322-1330
    • Chen, Y.H.1    Wang, T.C.2    Wu, C.Y.3
  • 8
    • 84870243960 scopus 로고    scopus 로고
    • Correlation coefficients of hesitant fuzzy sets and their applications to clustering analysis
    • Chen, N, ZS Xu andMM Xia (2013). Correlation coefficients of hesitant fuzzy sets and their applications to clustering analysis. Applied Mathematical Modeling, 37(4), 2197-2211.
    • (2013) Applied Mathematical Modeling , vol.37 , Issue.4 , pp. 2197-2211
    • Chen, N.Z.S.1    Xia, X.2
  • 9
    • 79953712890 scopus 로고    scopus 로고
    • A new fuzzy dempster MCDM method and its application in supplier selection
    • Deng, Y and FT Chan (2011). A new fuzzy dempster MCDM method and its application in supplier selection. Expert Systems with Applications, 38(8), 9854-9861.
    • (2011) Expert Systems with Applications , vol.38 , Issue.8 , pp. 9854-9861
    • Deng, Y.1    Chan, F.T.2
  • 11
    • 84879249463 scopus 로고    scopus 로고
    • A novel method of ranking hesitant fuzzy values for multiple attribute decision-making problems
    • Farhadinia, B (2013). A novel method of ranking hesitant fuzzy values for multiple attribute decision-making problems. International Journal of Intelligent Systems, 28(8), 752-767.
    • (2013) International Journal of Intelligent Systems , vol.28 , Issue.8 , pp. 752-767
    • Farhadinia, B.1
  • 12
    • 84888306319 scopus 로고    scopus 로고
    • Distance and similarity measures for higher order hesitant fuzzy sets
    • Farhadinia, B (2014). Distance and similarity measures for higher order hesitant fuzzy sets. Knowledge-Based Systems, 55, 43-48.
    • (2014) Knowledge-Based Systems , vol.55 , pp. 43-48
    • Farhadinia, B.1
  • 13
    • 0002781537 scopus 로고    scopus 로고
    • Linguistic decision analysis: Steps for solving decision problems under linguistic information
    • Herrera, F and E Herrera-Viedma (2000). Linguistic decision analysis: Steps for solving decision problems under linguistic information. Fuzzy Sets and Systems, 115(1), 67-82.
    • (2000) Fuzzy Sets and Systems , vol.115 , Issue.1 , pp. 67-82
    • Herrera, F.1    Herrera-Viedma, E.2
  • 14
    • 0004963777 scopus 로고    scopus 로고
    • A fusion approach for managing multi-granularity linguistic term sets in decision-making
    • Herrera, F, E Herrera-Viedma and L Martinez (2000). A fusion approach for managing multi-granularity linguistic term sets in decision-making. Fuzzy Sets and Systems, 114(1), 43-58.
    • (2000) Fuzzy Sets and Systems , vol.114 , Issue.1 , pp. 43-58
    • Herrera, F.1    Herrera-Viedma, E.2    Martinez, L.3
  • 15
    • 0034476450 scopus 로고    scopus 로고
    • A 2-tuple fuzzy linguistic representation model for computing with words
    • Herrera, F and L Mart?nez (2000). A 2-tuple fuzzy linguistic representation model for computing with words. IEEE Transactions on Fuzzy Systems, 8(6), 746-752.
    • (2000) IEEE Transactions on Fuzzy Systems , vol.8 , Issue.6 , pp. 746-752
    • Herrera, F.1    Martnez, L.2
  • 16
    • 84875247191 scopus 로고    scopus 로고
    • Multi-criteria decision-making method based on possibility degree of interval type-2 fuzzy number
    • Hu, JH, Y Zhang, XH Chen and YM Liu (2013). Multi-criteria decision-making method based on possibility degree of interval type-2 fuzzy number. Knowledge-Based Systems, 43, 21-29.
    • (2013) Knowledge-Based Systems , vol.43 , pp. 21-29
    • Hu, J.H.1    Zhang, Y.2    Chen, X.H.3    Liu, Y.M.4
  • 17
    • 84900799213 scopus 로고    scopus 로고
    • Evaluation of clustering algorithms for financial risk analysis using MCDM methods
    • Kou, G, Y Peng and G Wang (2014). Evaluation of clustering algorithms for financial risk analysis using MCDM methods. Information Sciences, 275, 1-12.
    • (2014) Information Sciences , vol.275 , pp. 1-12
    • Kou, G.1    Peng, Y.2    Wang, G.3
  • 18
    • 81155123113 scopus 로고    scopus 로고
    • A soft computing method of performance evaluation with MCDM based on interval-valued fuzzy numbers
    • Kuo, MS and GS Liang (2012). A soft computing method of performance evaluation with MCDM based on interval-valued fuzzy numbers. Applied Soft Computing, 12(1), 476-485.
    • (2012) Applied Soft Computing , vol.12 , Issue.1 , pp. 476-485
    • Kuo, M.S.1    Liang, G.S.2
  • 20
    • 84898829845 scopus 로고    scopus 로고
    • Distance and similarity measures for hesitant fuzzy linguistic term sets and their application in multi-criteria decision-making
    • Liao, HC, ZS Xu and XJ Zeng (2014). Distance and similarity measures for hesitant fuzzy linguistic term sets and their application in multi-criteria decision-making. Information Sciences, 271, 125-142.
    • (2014) Information Sciences , vol.271 , pp. 125-142
    • Liao, H.C.1    Xu, Z.S.2    Zeng, X.J.3
  • 21
    • 84893108445 scopus 로고    scopus 로고
    • Some Hamacher aggregation operators based on the interval-valued intuitionistic fuzzy numbers and their application to group decision-making
    • Liu, PD (2014). Some Hamacher aggregation operators based on the interval-valued intuitionistic fuzzy numbers and their application to group decision-making. IEEE Transactions on Fuzzy Systems, 22(1), 83-97.
    • (2014) IEEE Transactions on Fuzzy Systems , vol.22 , Issue.1 , pp. 83-97
    • Liu, P.D.1
  • 23
    • 84893033817 scopus 로고    scopus 로고
    • Some intuitionistic uncertain linguistic Heronian mean operators and their application to group decision-making
    • Liu, PD and ZMX Zhang (2014). Some intuitionistic uncertain linguistic Heronian mean operators and their application to group decision-making. Applied Mathematics and Computation, 230, 570-586.
    • (2014) Applied Mathematics and Computation , vol.230 , pp. 570-586
    • Liu, P.D.1    Zhang, Z.M.X.2
  • 24
    • 84861602885 scopus 로고    scopus 로고
    • An overview on the 2-tuple linguistic model for computing with words in decision-making: Extensions, applications and challenges
    • Mart?nez, L and F Herrera (2012). An overview on the 2-tuple linguistic model for computing with words in decision-making: Extensions, applications and challenges. Information Science, 207(1), 1-18.
    • (2012) Information Science , vol.207 , Issue.1 , pp. 1-18
    • Martnez, L.1    Herrera, F.2
  • 26
    • 84896398663 scopus 로고    scopus 로고
    • Multi-attribute decision analysis under a linguistic hesitant fuzzy environment
    • Meng, F, X Chen and Q Zhang (2014). Multi-attribute decision analysis under a linguistic hesitant fuzzy environment. Information Sciences, 267, 287-305.
    • (2014) Information Sciences , vol.267 , pp. 287-305
    • Meng, F.1    Chen, X.2    Zhang, Q.3
  • 27
    • 84924872469 scopus 로고    scopus 로고
    • An extension of ELECTRE to multi-criteria decision-making problems with multi-hesitant fuzzy sets
    • Peng JJ, JQWang, JWang, LJ Yang and XH Chen (2015a). An extension of ELECTRE to multi-criteria decision-making problems with multi-hesitant fuzzy sets. Information Sciences, 307, 113-126.
    • (2015) Information Sciences , vol.307 , pp. 113-126
    • Peng, J.J.1    Wang, J.Q.2    Wang, J.3    Yang, L.J.4    Chen, X.H.5
  • 28
    • 84920087585 scopus 로고    scopus 로고
    • Multi-valued neutrosophic sets and power aggregation operators with their applications in multi-criteria group decision-making problems
    • Peng, JJ, JQ Wang, XH Wu, J Wang and XH Chen (2015b). Multi-valued neutrosophic sets and power aggregation operators with their applications in multi-criteria group decision-making problems. International Journal of Computational Intelligence Systems, 8(4), 345-363.
    • (2015) International Journal of Computational Intelligence Systems , vol.8 , Issue.4 , pp. 345-363
    • Peng, J.J.1    Wang, J.Q.2    Wu, X.H.3    Wang, J.4    Chen, X.H.5
  • 35
    • 0000038881 scopus 로고
    • Interval valued fuzzy sets based on normal forms
    • Turksen, IB (1986). Interval valued fuzzy sets based on normal forms. Fuzzy Sets and Systems, 20(2), 191-210.
    • (1986) Fuzzy Sets and Systems , vol.20 , Issue.2 , pp. 191-210
    • Turksen, I.B.1
  • 36
    • 33748090609 scopus 로고    scopus 로고
    • Fuzzy TOPSIS method based on alpha level sets with an application to bridge risk assessment
    • Wang, YM and T Elhag (2006). Fuzzy TOPSIS method based on alpha level sets with an application to bridge risk assessment. Expert Systems with Applications, 31(2), 309-319.
    • (2006) Expert Systems with Applications , vol.31 , Issue.2 , pp. 309-319
    • Wang, Y.M.1    Elhag, T.2
  • 37
    • 84890752198 scopus 로고    scopus 로고
    • Multi-criteria group decision-making method based on intuitionistic linguistic aggregation operators
    • Wang, XF, JQ Wang and WE Yang (2014a). Multi-criteria group decision-making method based on intuitionistic linguistic aggregation operators. Journal of Intelligent and Fuzzy Systems, 26(1), 115-125.
    • (2014) Journal of Intelligent and Fuzzy Systems , vol.26 , Issue.1 , pp. 115-125
    • Wang, X.F.1    Wang, J.Q.2    Yang, W.E.3
  • 38
    • 84907682552 scopus 로고    scopus 로고
    • Multi-criteria outranking approach with hesitant fuzzy sets
    • Wang, JQ, DD Wang, HY Zhang and XH Chen (2014b). Multi-criteria outranking approach with hesitant fuzzy sets. OR Spectrum, 36(4), 1001-1019.
    • (2014) OR Spectrum , vol.36 , Issue.4 , pp. 1001-1019
    • Wang, J.Q.1    Wang, D.D.2    Zhang, H.Y.3    Chen, X.H.4
  • 39
    • 84921700988 scopus 로고    scopus 로고
    • Multi-criteria group decisionmaking method based on interval 2-tuple linguistic and Choquet integral aggregation operators
    • Wang, JQ, DD Wang, HY Zhang and XH Chen (2014c). Multi-criteria group decisionmaking method based on interval 2-tuple linguistic and Choquet integral aggregation operators. Soft Computing, 19(2), 389-405.
    • (2014) Soft Computing , vol.19 , Issue.2 , pp. 389-405
    • Wang, J.Q.1    Wang, D.D.2    Zhang, H.Y.3    Chen, X.H.4
  • 40
    • 84899915166 scopus 로고    scopus 로고
    • Method of multi-criteria group decision-making based on cloud aggregation operators with linguistic information
    • Wang, JQ, P Lu, HY Zhang and XH Chen (2014d). Method of multi-criteria group decision-making based on cloud aggregation operators with linguistic information. Information Sciences, 274, 177-191.
    • (2014) Information Sciences , vol.274 , pp. 177-191
    • Wang, J.Q.1    Lu, P.2    Zhang, H.Y.3    Chen, X.H.4
  • 41
    • 84930934244 scopus 로고    scopus 로고
    • Atanassov's interval-valued intuitionistic linguistic multi-criteria group decision-making method based on trapezium cloud model
    • Wang, JQ, P Wang, J Wang, HY Zhang and XH Chen (2015a). Atanassov's interval-valued intuitionistic linguistic multi-criteria group decision-making method based on trapezium cloud model. IEEE Transactions on Fuzzy Systems, 23(3), 542-554.
    • (2015) IEEE Transactions on Fuzzy Systems , vol.23 , Issue.3 , pp. 542-554
    • Wang, J.Q.1    Wang, P.2    Wang, J.3    Zhang, H.Y.4    Chen, X.H.5
  • 42
    • 84896691234 scopus 로고    scopus 로고
    • An uncertain linguistic multicriteria group decision-making method based on a cloud model
    • Wang, JQ, JJ Peng, HY Zhang, T Liu and XH Chen (2014e). An uncertain linguistic multicriteria group decision-making method based on a cloud model. Group Decision and Negotiation, 24(1), 171-192.
    • (2014) Group Decision and Negotiation , vol.24 , Issue.1 , pp. 171-192
    • Wang, J.Q.1    Peng, J.J.2    Zhang, H.Y.3    Liu, T.4    Chen, X.H.5
  • 43
    • 84938417904 scopus 로고    scopus 로고
    • Multi-criteria decision-making based on hesitant fuzzy linguistic term sets: An outranking approach
    • Wang, J, JQ Wang, HY Zhang and XH Chen (2015b). Multi-criteria decision-making based on hesitant fuzzy linguistic term sets: An outranking approach. Knowledge-Based Systems, 86, 224-236.
    • (2015) Knowledge-Based Systems , vol.86 , pp. 224-236
    • Wang, J.1    Wang, J.Q.2    Zhang, H.Y.3    Chen, X.H.4
  • 44
    • 84920939892 scopus 로고    scopus 로고
    • Interval-valued hesitant fuzzy linguistic sets and their applications in multi-criteria decision-making problems
    • Wang, JQ, JT Wu, J Wang, HY Zhang and XH Chen (2014f). Interval-valued hesitant fuzzy linguistic sets and their applications in multi-criteria decision-making problems. Information Sciences, 288, 55-72.
    • (2014) Information Sciences , vol.288 , pp. 55-72
    • Wang, J.Q.1    Wu, J.T.2    Wang, J.3    Zhang, H.Y.4    Chen, X.H.5
  • 45
    • 84961054562 scopus 로고    scopus 로고
    • Multi-criteria decisionmaking methods based on the Hausdorff distance of hesitant fuzzy linguistic numbers
    • Wang, JQ, JT Wu, J Wang, HY Zhang and XH Chen (2015c). Multi-criteria decisionmaking methods based on the Hausdorff distance of hesitant fuzzy linguistic numbers, Soft Computing, doi:10.1007/s00500-015-1609-5.
    • (2015) Soft Computing
    • Wang, J.Q.1    Wu, J.T.2    Wang, J.3    Zhang, H.Y.4    Chen, X.H.5
  • 46
    • 78649514393 scopus 로고    scopus 로고
    • Extension of TOPSIS method for 2-tuple linguistic multiple attribute group decision-making with incomplete weight information
    • Wei, GW (2010). Extension of TOPSIS method for 2-tuple linguistic multiple attribute group decision-making with incomplete weight information. Knowledge and Information Systems, 25(3), 623-634.
    • (2010) Knowledge and Information Systems , vol.25 , Issue.3 , pp. 623-634
    • Wei, G.W.1
  • 47
    • 84859891688 scopus 로고    scopus 로고
    • Hesitant fuzzy prioritized operators and their application to multiple attribute decision-making
    • Wei, GW (2012). Hesitant fuzzy prioritized operators and their application to multiple attribute decision-making. Knowledge-Based Systems, 31, 176-182.
    • (2012) Knowledge-Based Systems , vol.31 , pp. 176-182
    • Wei, G.W.1
  • 48
    • 84901985330 scopus 로고    scopus 로고
    • Operators and comparisons of hesitant fuzzy linguistic term sets
    • Wei, CP, N Zhao and XJ Tang (2014). Operators and comparisons of hesitant fuzzy linguistic term sets. IEEE Transactions on Fuzzy Systems, 22(3), 575-585.
    • (2014) IEEE Transactions on Fuzzy Systems , vol.22 , Issue.3 , pp. 575-585
    • Wei, C.P.1    Zhao, N.2    Tang, X.J.3
  • 49
    • 5144221527 scopus 로고    scopus 로고
    • A method based on fuzzy linguistic assessments and linguistic ordered weighted averaging operator for multi-attribute group decision-making problems
    • Xu, ZS (2002). A method based on fuzzy linguistic assessments and linguistic ordered weighted averaging operator for multi-attribute group decision-making problems. Systems Engineering, 20, 79-82.
    • (2002) Systems Engineering , vol.20 , pp. 79-82
    • Xu, Z.S.1
  • 50
    • 79952823793 scopus 로고    scopus 로고
    • Distance and similarity measures for hesitant fuzzy sets
    • Xu, ZS and MM Xia (2011a). Distance and similarity measures for hesitant fuzzy sets. Information Sciences, 181(11), 2128-2138.
    • (2011) Information Sciences , vol.181 , Issue.11 , pp. 2128-2138
    • Xu, Z.S.1    Xia, M.M.2
  • 51
    • 79952846411 scopus 로고    scopus 로고
    • On distance and correlation measures of hesitant fuzzy information
    • Xu, ZS and MM Xia (2011b). On distance and correlation measures of hesitant fuzzy information. International Journal of Intelligent Systems, 26(5), 410-425.
    • (2011) International Journal of Intelligent Systems , vol.26 , Issue.5 , pp. 410-425
    • Xu, Z.S.1    Xia, M.M.2
  • 52
    • 84883855065 scopus 로고    scopus 로고
    • Hesitant fuzzy multi-attribute decision-making based on TOPSIS with incomplete weight information
    • Xu, ZS and XL Zhang (2013). Hesitant fuzzy multi-attribute decision-making based on TOPSIS with incomplete weight information. Knowledge-Based Systems, 52, 53-64.
    • (2013) Knowledge-Based Systems , vol.52 , pp. 53-64
    • Xu, Z.S.1    Zhang, X.L.2
  • 53
    • 4944244985 scopus 로고    scopus 로고
    • A method based on linguistic aggregation operators for group decisionmaking with linguistic preference relations
    • Xu, ZS (2004). A method based on linguistic aggregation operators for group decisionmaking with linguistic preference relations. Information Sciences, 166(1), 19-30.
    • (2004) Information Sciences , vol.166 , Issue.1 , pp. 19-30
    • Xu, Z.S.1
  • 54
    • 79955799693 scopus 로고    scopus 로고
    • Approaches based on 2-tuple linguistic power aggregation operators for multiple attribute group decision-making under linguistic environment
    • Xu, YJ and HM Wang (2011). Approaches based on 2-tuple linguistic power aggregation operators for multiple attribute group decision-making under linguistic environment. Applied Soft Computing Journal, 11(5), 3988-3997.
    • (2011) Applied Soft Computing Journal , vol.11 , Issue.5 , pp. 3988-3997
    • Xu, Y.J.1    Wang, H.M.2
  • 55
    • 79551684086 scopus 로고    scopus 로고
    • Hesitant fuzzy information aggregation in decision-making
    • Xia, MM and ZS Xu (2011). Hesitant fuzzy information aggregation in decision-making. International Journal of Approximate Reasoning, 52(3), 395-407.
    • (2011) International Journal of Approximate Reasoning , vol.52 , Issue.3 , pp. 395-407
    • Xia, M.M.1    Xu, Z.S.2
  • 56
    • 0017515151 scopus 로고
    • Multiple objective decision-making using fuzzy sets
    • Yager, RR (1977). Multiple objective decision-making using fuzzy sets. International Journal of Man-Machine Studies, 9(4), 375-382.
    • (1977) International Journal of Man-Machine Studies , vol.9 , Issue.4 , pp. 375-382
    • Yager, R.R.1
  • 57
    • 84879951095 scopus 로고    scopus 로고
    • Multi-criteria semantic dominance: A linguistic decision aiding technique based on incomplete preference information
    • Yang, WE and JQ Wang (2013). Multi-criteria semantic dominance: A linguistic decision aiding technique based on incomplete preference information. European Journal of Operational Research, 231(1), 171-181.
    • (2013) European Journal of Operational Research , vol.231 , Issue.1 , pp. 171-181
    • Yang, W.E.1    Wang, J.Q.2
  • 59
    • 0016459349 scopus 로고
    • The concept of a linguistic variable and its application to approximate reasoning-I
    • Zadeh, LA (1975). The concept of a linguistic variable and its application to approximate reasoning-I. Information Sciences, 8, 199-249.
    • (1975) Information Sciences , vol.8 , pp. 199-249
    • Zadeh, L.A.1
  • 60
    • 84861580042 scopus 로고    scopus 로고
    • Hesitant fuzzy geometric Bonferroni means
    • Zhu, B, ZS Xu and MM Xia (2012). Hesitant fuzzy geometric Bonferroni means. Information Sciences, 205, 72-85.
    • (2012) Information Sciences , vol.205 , pp. 72-85
    • Zhu, B.1    Xu, Z.S.2    Xia, M.M.3
  • 61
    • 84875267009 scopus 로고    scopus 로고
    • Hesitant fuzzy power aggregation operators and their application to multiple attribute group decision-making
    • Zhang, ZM (2013). Hesitant fuzzy power aggregation operators and their application to multiple attribute group decision-making. Information Sciences, 234, 150-181.
    • (2013) Information Sciences , vol.234 , pp. 150-181
    • Zhang, Z.M.1
  • 62
    • 84897386829 scopus 로고    scopus 로고
    • The TODIM analysis approach based on novel measured functions under hesitant fuzzy environment
    • Zhang, XL and ZS Xu (2014). The TODIM analysis approach based on novel measured functions under hesitant fuzzy environment. Knowledge-Based Systems, 61, 48-58.
    • (2014) Knowledge-Based Systems , vol.61 , pp. 48-58
    • Zhang, X.L.1    Xu, Z.S.2


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