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Volumn 20, Issue 4, 2016, Pages 1621-1633

Multi-criteria decision-making methods based on the Hausdorff distance of hesitant fuzzy linguistic numbers

Author keywords

Hausdorff distance; Hesitant fuzzy linguistic set; Multi criteria decision making; TODIM; TOPSIS

Indexed keywords

BEHAVIORAL RESEARCH; COMPUTATIONAL LINGUISTICS; FUZZY SETS; GEOMETRY; LINGUISTICS;

EID: 84961054562     PISSN: 14327643     EISSN: 14337479     Source Type: Journal    
DOI: 10.1007/s00500-015-1609-5     Document Type: Article
Times cited : (123)

References (88)
  • 1
    • 35748949865 scopus 로고    scopus 로고
    • Extensions of TOPSIS for large scale multi-objective non-linear programming problems with block angular structure
    • Abo-Sinna MA, Amer AH, Ibrahim AS (2008) Extensions of TOPSIS for large scale multi-objective non-linear programming problems with block angular structure. Appl Math Model 32:292–302
    • (2008) Appl Math Model , vol.32 , pp. 292-302
    • Abo-Sinna, M.A.1    Amer, A.H.2    Ibrahim, A.S.3
  • 2
    • 84885951008 scopus 로고    scopus 로고
    • TOPSIS for hesitant fuzzy linguistic term sets
    • Beg I, Rashid T (2013) TOPSIS for hesitant fuzzy linguistic term sets. Int J Intell Syst 28:1162–1171
    • (2013) Int J Intell Syst , vol.28 , pp. 1162-1171
    • Beg, I.1    Rashid, T.2
  • 3
    • 0346636333 scopus 로고
    • Decision making in a fuzzy environment
    • Bellman R, Zadeh LA (1990) Decision making in a fuzzy environment. Manag Sci 17:141–164
    • (1990) Manag Sci , vol.17 , pp. 141-164
    • Bellman, R.1    Zadeh, L.A.2
  • 4
    • 0030826844 scopus 로고    scopus 로고
    • A linguistic modeling of consensus in group decision making based on OWA operators
    • Bordogna G, Fedrizzi M, Pasi G (1997) A linguistic modeling of consensus in group decision making based on OWA operators. IEEE Trans Syst Man Cybern Part A Syst Hum 27:126–133
    • (1997) IEEE Trans Syst Man Cybern Part A Syst Hum , vol.27 , pp. 126-133
    • Bordogna, G.1    Fedrizzi, M.2    Pasi, G.3
  • 5
    • 84870243960 scopus 로고    scopus 로고
    • Correlation coefficients of hesitant fuzzy sets and their applications to clustering analysis
    • Chen N, Xu ZS, Xia MM (2013) Correlation coefficients of hesitant fuzzy sets and their applications to clustering analysis. Appl Math Model 37:2197–2211
    • (2013) Appl Math Model , vol.37 , pp. 2197-2211
    • Chen, N.1    Xu, Z.S.2    Xia, M.M.3
  • 7
    • 77950187485 scopus 로고    scopus 로고
    • Computing with words to assess the sustainability of renewable energy options
    • Doukas H, Karakosta C, Psarras J (2010) Computing with words to assess the sustainability of renewable energy options. Expert Syst Appl 37:5491–5497
    • (2010) Expert Syst Appl , vol.37 , pp. 5491-5497
    • Doukas, H.1    Karakosta, C.2    Psarras, J.3
  • 8
    • 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. Knowl Based Syst 55:43–48
    • (2014) Knowl Based Syst , vol.55 , pp. 43-48
    • Farhadinia, B.1
  • 9
    • 36148966830 scopus 로고
    • TODIM: basics and application to multicriteria ranking of ranking of projects with environment impacts
    • Gomes LFAM, Lima MMPP (1992) TODIM: basics and application to multicriteria ranking of ranking of projects with environment impacts. Found Comput Decis Sci 16:113–127
    • (1992) Found Comput Decis Sci , vol.16 , pp. 113-127
    • Gomes, L.F.A.M.1    Lima, M.M.P.P.2
  • 10
    • 52049091538 scopus 로고    scopus 로고
    • An application of the TODIM method to the multicriteria rental evaluation of residential properties
    • Gomes LFAM, Rangel LAD (2009) An application of the TODIM method to the multicriteria rental evaluation of residential properties. Eur J Oper Res 193:204–211
    • (2009) Eur J Oper Res , vol.193 , pp. 204-211
    • Gomes, L.F.A.M.1    Rangel, L.A.D.2
  • 11
    • 67349204031 scopus 로고    scopus 로고
    • Multicriteria analysis of natural gas destination in brazil: an application of the TODIM method
    • Gomes LFAM, Rangel LAD, Maranhão FJC (2009) Multicriteria analysis of natural gas destination in brazil: an application of the TODIM method. Math Comput Model 50:92–100
    • (2009) Math Comput Model , vol.50 , pp. 92-100
    • Gomes, L.F.A.M.1    Rangel, L.A.D.2    Maranhão, F.J.C.3
  • 12
    • 0004963777 scopus 로고    scopus 로고
    • A fusion approach for managing multi-granularity linguistic term sets in decision making
    • Herrera F, Herrera-Viedma E, Martínez L (2000) A fusion approach for managing multi-granularity linguistic term sets in decision making. Fuzzy Sets Syst 114:43–58
    • (2000) Fuzzy Sets Syst , vol.114 , pp. 43-58
    • Herrera, F.1    Herrera-Viedma, E.2    Martínez, L.3
  • 13
    • 0034476450 scopus 로고    scopus 로고
    • A 2-tuple fuzzy linguistic representation model for computing with words
    • Herrera F, Martínez L (2000) A 2-tuple fuzzy linguistic representation model for computing with words. IEEE Trans Fuzzy Syst 8:46–52
    • (2000) IEEE Trans Fuzzy Syst , vol.8 , pp. 46-52
    • Herrera, F.1    Martínez, L.2
  • 14
    • 0346977257 scopus 로고    scopus 로고
    • The 2-tuple linguistic computational model. Advantages of its linguistic description, accuracy and consistency
    • Herrera F, Martínez L (2001) The 2-tuple linguistic computational model. Advantages of its linguistic description, accuracy and consistency. Int J Uncertain Fuzziness Knowl Based Syst 9:33–48
    • (2001) Int J Uncertain Fuzziness Knowl Based Syst , vol.9 , pp. 33-48
    • Herrera, F.1    Martínez, L.2
  • 15
    • 84875247191 scopus 로고    scopus 로고
    • Multi-criteria decision-making method based on possibility degree of interval type-2 fuzzy number
    • Hu JH, Zhang Y, Chen XH, Liu YM (2013) Multi-criteria decision-making method based on possibility degree of interval type-2 fuzzy number. Knowl Based Syst 43:21–29
    • (2013) Knowl Based Syst , vol.43 , pp. 21-29
    • Hu, J.H.1    Zhang, Y.2    Chen, X.H.3    Liu, Y.M.4
  • 17
    • 36549021128 scopus 로고    scopus 로고
    • A method for group decision making with multi-granularity linguistic assessment information
    • Jiang YP, Fan ZP, Ma J (2008) A method for group decision making with multi-granularity linguistic assessment information. Inf Sci 178:1098–1109
    • (2008) Inf Sci , vol.178 , pp. 1098-1109
    • Jiang, Y.P.1    Fan, Z.P.2    Ma, J.3
  • 18
    • 84905116760 scopus 로고    scopus 로고
    • Intuitionistic fuzzy entropy and distance measure based TOPSIS method for multi-criteria decision making. Egypt Inform J
    • Joshi D, Kumar S (2014) Intuitionistic fuzzy entropy and distance measure based TOPSIS method for multi-criteria decision making. Egypt Inform J. doi:10.1016/j.eij.2014.03.002
    • (2014) doi:10.1016/j.eij.2014.03.002
    • Joshi, D.1    Kumar, S.2
  • 20
    • 0000125532 scopus 로고
    • Prospect theory: an analysis of decision under risk
    • Kahneman D, Tversky A (1979) Prospect theory: an analysis of decision under risk. Econometrica 47:263–291
    • (1979) Econometrica , vol.47 , pp. 263-291
    • Kahneman, D.1    Tversky, A.2
  • 22
    • 84877731323 scopus 로고    scopus 로고
    • Group decision making based on induced uncertain linguistic OWA operators
    • Lan JB, Sun Q, Chen QG, Wang ZG (2013) Group decision making based on induced uncertain linguistic OWA operators. Decis Support Syst 55:296–303
    • (2013) Decis Support Syst , vol.55 , pp. 296-303
    • Lan, J.B.1    Sun, Q.2    Chen, Q.G.3    Wang, Z.G.4
  • 23
    • 84961058090 scopus 로고    scopus 로고
    • Fuzzy decision making based on hesitant fuzzy linguistic term sets, Springer, Berlin
    • Lee LW, Chen SM (2013) Intelligent information and database systems., Fuzzy decision making based on hesitant fuzzy linguistic term setsSpringer, Berlin
    • (2013) Intelligent information and database systems
    • Lee, L.W.1    Chen, S.M.2
  • 24
    • 76349112686 scopus 로고    scopus 로고
    • Linear programming method for multiattribute group decision making using IF sets
    • Li DF, Chen GH, Huang ZG (2010) Linear programming method for multiattribute group decision making using IF sets. Inf Sci 180:1591–1609
    • (2010) Inf Sci , vol.180 , pp. 1591-1609
    • Li, D.F.1    Chen, G.H.2    Huang, Z.G.3
  • 25
    • 84901020448 scopus 로고    scopus 로고
    • Interval-valued hesitant fuzzy Hamacher synergetic weighted aggregation operators and their application to shale gas areas selection, Math Probl Eng
    • Li LG, Peng DH (2014) Interval-valued hesitant fuzzy Hamacher synergetic weighted aggregation operators and their application to shale gas areas selection. Math Probl Eng. doi:10.1155/2014/181050
    • (2014) Peng DH
    • Li, L.G.1
  • 26
    • 84897564261 scopus 로고    scopus 로고
    • A new MCDM method combining QFD with TOPSIS for knowledge management system selection from the user’s perspective in intuitionistic fuzzy environment
    • Li M, Jin L, Wang J (2014) A new MCDM method combining QFD with TOPSIS for knowledge management system selection from the user’s perspective in intuitionistic fuzzy environment. Appl Soft Comput 21:28–37
    • (2014) Appl Soft Comput , vol.21 , pp. 28-37
    • Li, M.1    Jin, L.2    Wang, J.3
  • 27
    • 84896965892 scopus 로고    scopus 로고
    • Models for selecting an ERP system with hesitant fuzzy linguistic information
    • Lin R, Zhao XF, Wei GW (2014) Models for selecting an ERP system with hesitant fuzzy linguistic information. J Intell Fuzzy Syst 26:2155–2165
    • (2014) J Intell Fuzzy Syst , vol.26 , pp. 2155-2165
    • Lin, R.1    Zhao, X.F.2    Wei, G.W.3
  • 28
    • 84870250990 scopus 로고    scopus 로고
    • Some geometric aggregation operators based on interval intuitionistic uncertain linguistic variables and their application to group decision making
    • Liu PD (2013) Some geometric aggregation operators based on interval intuitionistic uncertain linguistic variables and their application to group decision making. Appl Math Model 37:2430–2444
    • (2013) Appl Math Model , vol.37 , pp. 2430-2444
    • Liu, P.D.1
  • 29
    • 84908308616 scopus 로고    scopus 로고
    • An extended TOPSIS method for multiple attribute decision making problems with unknown weight based on 2-dimension uncertain linguistic variables. J Intell Fuzzy Syst
    • Liu QH (2014) An extended TOPSIS method for multiple attribute decision making problems with unknown weight based on 2-dimension uncertain linguistic variables. J Intell Fuzzy Syst. doi:10.3233/IFS-141186
    • (2014) doi:10.3233/IFS-141186
    • Liu, Q.H.1
  • 30
    • 84861577869 scopus 로고    scopus 로고
    • Methods for aggregating intuitionistic uncertain linguistic variables and their application to group decision making
    • Liu PD, Jin F (2012) Methods for aggregating intuitionistic uncertain linguistic variables and their application to group decision making. Inf Sci 205:58–71
    • (2012) Inf Sci , vol.205 , pp. 58-71
    • Liu, P.D.1    Jin, F.2
  • 31
    • 84889096409 scopus 로고    scopus 로고
    • A fuzzy envelope for hesitant fuzzy linguistic term set and its application to multicriteria decision making
    • Liu HB, Rodríguez RM (2014) A fuzzy envelope for hesitant fuzzy linguistic term set and its application to multicriteria decision making. Inf Sci 258:220–238
    • (2014) Inf Sci , vol.258 , pp. 220-238
    • Liu, H.B.1    Rodríguez, R.M.2
  • 32
    • 84879487333 scopus 로고    scopus 로고
    • A study of TODIM in a intuitionistic fuzzy and random environment
    • Lourenzutti R, Krohling RA (2013) A study of TODIM in a intuitionistic fuzzy and random environment. Expert Syst Appl 40:6468–6495
    • (2013) Expert Syst Appl , vol.40 , pp. 6468-6495
    • Lourenzutti, R.1    Krohling, R.A.2
  • 33
    • 84861602885 scopus 로고    scopus 로고
    • An overview on the 2-tuple linguistic model for computing with words in decision making: extensions, applications and challenges
    • Martínez L, Herrera F (2012) An overview on the 2-tuple linguistic model for computing with words in decision making: extensions, applications and challenges. Inf Sci 207:1–18
    • (2012) Inf Sci , vol.207 , pp. 1-18
    • Martínez, L.1    Herrera, F.2
  • 34
    • 78751631405 scopus 로고    scopus 로고
    • Computing with words in decision support systems: an overview on models and applications
    • Martínez L, Ruan D, Herrera F (2010) Computing with words in decision support systems: an overview on models and applications. Int J Comput Intell Syst 3:382–395
    • (2010) Int J Comput Intell Syst , vol.3 , pp. 382-395
    • Martínez, L.1    Ruan, D.2    Herrera, F.3
  • 36
    • 84896398663 scopus 로고    scopus 로고
    • Multi-attribute decision analysis under a linguistic hesitant fuzzy environment
    • Meng FY, Chen XH, Zhang Q (2014a) Multi-attribute decision analysis under a linguistic hesitant fuzzy environment. Inf Sci 267:287–305
    • (2014) Inf Sci , vol.267 , pp. 287-305
    • Meng, F.Y.1    Chen, X.H.2    Zhang, Q.3
  • 37
    • 84892919169 scopus 로고    scopus 로고
    • An approach to multi-attribute group decision making under uncertain linguistic environment based on the Choquet aggregation operators
    • Meng FY, Tan CQ, Zhang Q (2014b) An approach to multi-attribute group decision making under uncertain linguistic environment based on the Choquet aggregation operators. J Intell Fuzzy Syst 26:769–780
    • (2014) J Intell Fuzzy Syst , vol.26 , pp. 769-780
    • Meng, F.Y.1    Tan, C.Q.2    Zhang, Q.3
  • 39
    • 0032292734 scopus 로고    scopus 로고
    • A probabilistic formulation for Hausdorff matching. In: 1998 IEEE computer society conference on computer vision and pattern recognition
    • Olson CF (1998) A probabilistic formulation for Hausdorff matching. In: 1998 IEEE computer society conference on computer vision and pattern recognition, pp 150–156
    • (1998) pp 150–156
    • Olson, C.F.1
  • 40
    • 0025198791 scopus 로고
    • Fuzzy sets in pattern recognition: methodology and methods
    • Pedrycz W (1990) Fuzzy sets in pattern recognition: methodology and methods. Pattern Recognit 23:121–146
    • (1990) Pattern Recognit , vol.23 , pp. 121-146
    • Pedrycz, W.1
  • 41
    • 49449100455 scopus 로고    scopus 로고
    • The design of granular classifiers: a study in the synergy of interval calculus and fuzzy sets in pattern recognition
    • Pedrycz W, Park BJ, Oh SK (2008) The design of granular classifiers: a study in the synergy of interval calculus and fuzzy sets in pattern recognition. Pattern Recognit 41:3720–3735
    • (2008) Pattern Recognit , vol.41 , pp. 3720-3735
    • Pedrycz, W.1    Park, B.J.2    Oh, S.K.3
  • 42
    • 84874579148 scopus 로고    scopus 로고
    • Generalized hesitant fuzzy synergetic weighted distance measures and their application to multiple criteria decision-making
    • Peng DH, Gao CY, Gao ZF (2013) Generalized hesitant fuzzy synergetic weighted distance measures and their application to multiple criteria decision-making. Appl Math Model 37:5837–5850
    • (2013) Appl Math Model , vol.37 , pp. 5837-5850
    • Peng, D.H.1    Gao, C.Y.2    Gao, Z.F.3
  • 43
    • 84902178169 scopus 로고    scopus 로고
    • Dynamic hesitant fuzzy aggregation operators in multi-period decision making
    • Peng DH, Wang H (2014) Dynamic hesitant fuzzy aggregation operators in multi-period decision making. Kybernetes 43:715–736
    • (2014) Kybernetes , vol.43 , pp. 715-736
    • Peng, D.H.1    Wang, H.2
  • 44
    • 84902186297 scopus 로고    scopus 로고
    • Continuous hesitant fuzzy aggregation operators and their application to decision making under interval-valued hesitant fuzzy setting. Sci World J
    • Peng DH, Wang TD, Gao CY, Wang H (2014) Continuous hesitant fuzzy aggregation operators and their application to decision making under interval-valued hesitant fuzzy setting. Sci World J. doi:10.1155/2014/897304
    • (2014) doi:10.1155/2014/897304
    • Peng, D.H.1    Wang, T.D.2    Gao, C.Y.3    Wang, H.4
  • 45
    • 84940460137 scopus 로고    scopus 로고
    • A multi-criteria decision-making approach based on TODIM and Choquet integral within a multiset hesitant fuzzy environment
    • Peng JJ, Wang JQ, Zhou H, Chen XH (2015) A multi-criteria decision-making approach based on TODIM and Choquet integral within a multiset hesitant fuzzy environment. Appl Math Inf Sci 9:1–11
    • (2015) Appl Math Inf Sci , vol.9 , pp. 1-11
    • Peng, J.J.1    Wang, J.Q.2    Zhou, H.3    Chen, X.H.4
  • 46
    • 84867750034 scopus 로고    scopus 로고
    • An analysis of symbolic linguistic computing models in decision making
    • Rodríguez RM, Martínez L (2013) An analysis of symbolic linguistic computing models in decision making. Int J Gen Syst 42:121–136
    • (2013) Int J Gen Syst , vol.42 , pp. 121-136
    • Rodríguez, R.M.1    Martínez, L.2
  • 47
    • 84878223631 scopus 로고    scopus 로고
    • A group decision making model dealing with comparative linguistic expressions based on hesitant fuzzy linguistic term sets
    • Rodríguez RM, Martínez L, Herrera F (2013) A group decision making model dealing with comparative linguistic expressions based on hesitant fuzzy linguistic term sets. Inf Sci 241:28–42
    • (2013) Inf Sci , vol.241 , pp. 28-42
    • Rodríguez, R.M.1    Martínez, L.2    Herrera, F.3
  • 51
    • 77954561574 scopus 로고    scopus 로고
    • Hesitant fuzzy sets
    • Torra V (2010) Hesitant fuzzy sets. Int J Intell Syst 25:529–539
    • (2010) Int J Intell Syst , vol.25 , pp. 529-539
    • Torra, V.1
  • 52
    • 77953800988 scopus 로고    scopus 로고
    • Aggregation operators on intuitionistic trapezoidal fuzzy number and its application to multi-criteria decision making problems
    • Wang JQ, Zhang Z (2009) Aggregation operators on intuitionistic trapezoidal fuzzy number and its application to multi-criteria decision making problems. J Syst Eng Electron 20:321–326
    • (2009) J Syst Eng Electron , vol.20 , pp. 321-326
    • Wang, J.Q.1    Zhang, Z.2
  • 53
    • 84873642540 scopus 로고    scopus 로고
    • Intuitionistic fuzzy multi-criteria decision-making method based on evidential reasoning
    • Wang JQ, Nie RR, Zhang HY, Chen XH (2013) Intuitionistic fuzzy multi-criteria decision-making method based on evidential reasoning. Appl Soft Comput 13:1823–1831
    • (2013) Appl Soft Comput , vol.13 , pp. 1823-1831
    • Wang, J.Q.1    Nie, R.R.2    Zhang, H.Y.3    Chen, X.H.4
  • 54
    • 84899915166 scopus 로고    scopus 로고
    • Method of multi-criteria group decision-making based on cloud aggregation operators with linguistic information
    • Wang JQ, Peng L, Zhang HY, Chen XH (2014a) Method of multi-criteria group decision-making based on cloud aggregation operators with linguistic information. Inf Sci 274:177–191
    • (2014) Inf Sci , vol.274 , pp. 177-191
    • Wang, J.Q.1    Peng, L.2    Zhang, H.Y.3    Chen, X.H.4
  • 55
    • 84907682552 scopus 로고    scopus 로고
    • Multi-criteria outranking approach with hesitant fuzzy sets
    • Wang JQ, Wang DD, Zhang HY, Chen XH (2014b) Multi-criteria outranking approach with hesitant fuzzy sets. OR Spectr 36:1001–1019
    • (2014) OR Spectr , vol.36 , pp. 1001-1019
    • Wang, J.Q.1    Wang, D.D.2    Zhang, H.Y.3    Chen, X.H.4
  • 56
    • 84902459097 scopus 로고    scopus 로고
    • An outranking approach for multi-criteria decision-making with hesitant fuzzy linguistic term sets
    • Wang JQ, Wang J, Chen QH, Zhang HY, Chen XH (2014c) An outranking approach for multi-criteria decision-making with hesitant fuzzy linguistic term sets. Inf Sci 280:338–351
    • (2014) Inf Sci , vol.280 , pp. 338-351
    • Wang, J.Q.1    Wang, J.2    Chen, Q.H.3    Zhang, H.Y.4    Chen, X.H.5
  • 57
    • 84930934244 scopus 로고    scopus 로고
    • Chen XH: Atanassov’s interval-valued intuitionistic linguistic multi-criteria group decision-making method based on trapezium cloud model. IEEE Trans Fuzzy Syst
    • Wang JQ, Wang P, Wang J, Zhang HY, Chen XH (2014d) Atanassov’s interval-valued intuitionistic linguistic multi-criteria group decision-making method based on trapezium cloud model. IEEE Trans Fuzzy Syst. doi:10.1109/TFUZZ.2014.2317500
    • (2014) Zhang HY
    • Wang, J.Q.1    Wang, P.2    Wang, J.3
  • 58
    • 84920939892 scopus 로고    scopus 로고
    • Interval-valued hesitant fuzzy linguistic sets and their applications in multi-criteria decision-making problems
    • Wang JQ, Wu JT, Wang J, Zhang HY, Chen XH (2014e) Interval-valued hesitant fuzzy linguistic sets and their applications in multi-criteria decision-making problems. Inf Sci 288:55–72
    • (2014) Inf Sci , vol.288 , pp. 55-72
    • Wang, J.Q.1    Wu, J.T.2    Wang, J.3    Zhang, H.Y.4    Chen, X.H.5
  • 59
    • 84890752198 scopus 로고    scopus 로고
    • Multi-criteria group decision making method based on intuitionistic linguistic aggregation operators
    • Wang XF, Wang JQ, Yang WE (2014f) Multi-criteria group decision making method based on intuitionistic linguistic aggregation operators. J Intell Fuzzy Syst 26:115–125
    • (2014) J Intell Fuzzy Syst , vol.26 , pp. 115-125
    • Wang, X.F.1    Wang, J.Q.2    Yang, W.E.3
  • 60
    • 84896691234 scopus 로고    scopus 로고
    • An uncertain linguistic multi-criteria group decision-making method based on a cloud model
    • Wang JQ, Peng JJ, Zhang HY, Liu T, Chen XH (2015a) An uncertain linguistic multi-criteria group decision-making method based on a cloud model. Group Decis Negot 24:171–192
    • (2015) Group Decis Negot , vol.24 , pp. 171-192
    • Wang, J.Q.1    Peng, J.J.2    Zhang, H.Y.3    Liu, T.4    Chen, X.H.5
  • 61
    • 84921700988 scopus 로고    scopus 로고
    • Multi-criteria group decision making method based on interval 2-tuple linguistic information and Choquet integral aggregation operators
    • Wang JQ, Wang DD, Zhang HY, Chen XH (2015b) Multi-criteria group decision making method based on interval 2-tuple linguistic information and Choquet integral aggregation operators. Soft Comput 19:389–405
    • (2015) Soft Comput , vol.19 , pp. 389-405
    • Wang, J.Q.1    Wang, D.D.2    Zhang, H.Y.3    Chen, X.H.4
  • 62
    • 84901985330 scopus 로고    scopus 로고
    • Operators and comparisons of hesitant fuzzy linguistic term sets
    • Wei CP, Zhao N, Tang XJ (2014) Operators and comparisons of hesitant fuzzy linguistic term sets. IEEE Trans Fuzzy Syst 22:575–585
    • (2014) IEEE Trans Fuzzy Syst , vol.22 , pp. 575-585
    • Wei, C.P.1    Zhao, N.2    Tang, X.J.3
  • 63
    • 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. Knowl Based Syst 31:176–182
    • (2012) Knowl Based Syst , vol.31 , pp. 176-182
    • Wei, G.W.1
  • 64
    • 41349084786 scopus 로고    scopus 로고
    • Two-tuple linguistic multiple attribute group decision making with incomplete attribute weight information
    • Wei GW (2008) Two-tuple linguistic multiple attribute group decision making with incomplete attribute weight information. Syst Eng Electron 30:273–277
    • (2008) Syst Eng Electron , vol.30 , pp. 273-277
    • Wei, G.W.1
  • 65
    • 84872609354 scopus 로고    scopus 로고
    • Uncertain linguistic Bonferroni mean operators and their application to multiple attribute decision making
    • Wei GW, Zhao XF, Lin R, Wang HJ (2013) Uncertain linguistic Bonferroni mean operators and their application to multiple attribute decision making. Appl Math Model 37:5277–5285
    • (2013) Appl Math Model , vol.37 , pp. 5277-5285
    • Wei, G.W.1    Zhao, X.F.2    Lin, R.3    Wang, H.J.4
  • 66
    • 79551684086 scopus 로고    scopus 로고
    • Hesitant fuzzy information aggregation in decision making
    • Xia MM, Xu ZS (2011) Hesitant fuzzy information aggregation in decision making. Int J Approx Reas 52:395–407
    • (2011) Int J Approx Reas , vol.52 , pp. 395-407
    • Xia, M.M.1    Xu, Z.S.2
  • 67
    • 84872946596 scopus 로고    scopus 로고
    • Some hesitant fuzzy aggregation operators with their application in group decision making
    • Xia MM, Xu ZS, Chen N (2013) Some hesitant fuzzy aggregation operators with their application in group decision making. Group Decis Negot 22:259–279
    • (2013) Group Decis Negot , vol.22 , pp. 259-279
    • Xia, M.M.1    Xu, Z.S.2    Chen, N.3
  • 68
    • 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, Wang HM (2011) Approaches based on 2-tuple linguistic power aggregation operators for multiple attribute group decision making under linguistic environment. Appl Soft Comput 11:3988–3997
    • (2011) Appl Soft Comput , vol.11 , pp. 3988-3997
    • Xu, Y.J.1    Wang, H.M.2
  • 69
    • 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. Syst Eng 20:79–82
    • (2002) Syst Eng , vol.20 , pp. 79-82
    • Xu, Z.S.1
  • 70
    • 4944244985 scopus 로고    scopus 로고
    • A method based on linguistic aggregation operators for group decision making with linguistic preference relation
    • Xu ZS (2004a) A method based on linguistic aggregation operators for group decision making with linguistic preference relation. Inf Sci 166:19–30
    • (2004) Inf Sci , vol.166 , pp. 19-30
    • Xu, Z.S.1
  • 71
    • 9544245810 scopus 로고    scopus 로고
    • Uncertain linguistic aggregation operators based approach to multiple attribute group decision making under uncertain linguistic environment
    • Xu ZS (2004b) Uncertain linguistic aggregation operators based approach to multiple attribute group decision making under uncertain linguistic environment. Inf Sci 168:171–184
    • (2004) Inf Sci , vol.168 , pp. 171-184
    • Xu, Z.S.1
  • 72
    • 35348958878 scopus 로고    scopus 로고
    • Group decision making based on multiple types of linguistic preference relations
    • Xu ZS (2008) Group decision making based on multiple types of linguistic preference relations. Inf Sci 178:452–467
    • (2008) Inf Sci , vol.178 , pp. 452-467
    • Xu, Z.S.1
  • 73
    • 79952823793 scopus 로고    scopus 로고
    • Distance and similarity measures for hesitant fuzzy sets
    • Xu ZS, Xia MM (2011a) Distance and similarity measures for hesitant fuzzy sets. Inf Sci 181:2128–2138
    • (2011) Inf Sci , vol.181 , pp. 2128-2138
    • Xu, Z.S.1    Xia, M.M.2
  • 74
    • 79952846411 scopus 로고    scopus 로고
    • On distance and correlation measures of hesitant fuzzy information
    • Xu ZS, Xia MM (2011b) On distance and correlation measures of hesitant fuzzy information. Int J Intell Syst 26:410–425
    • (2011) Int J Intell Syst , vol.26 , pp. 410-425
    • Xu, Z.S.1    Xia, M.M.2
  • 75
    • 84883855065 scopus 로고    scopus 로고
    • Hesitant fuzzy multi-attribute decision making based on TOPSIS with incomplete weight information
    • Xu ZS, Zhang XL (2013) Hesitant fuzzy multi-attribute decision making based on TOPSIS with incomplete weight information. Knowl Based Syst 52:53–64
    • (2013) Knowl Based Syst , vol.52 , pp. 53-64
    • Xu, Z.S.1    Zhang, X.L.2
  • 76
    • 0017515151 scopus 로고    scopus 로고
    • Multiple objective decision-making using fuzzy sets
    • Yager RR (1997) Multiple objective decision-making using fuzzy sets. Int J Man Mach Stud 9:375–382
    • (1997) Int J Man Mach Stud , vol.9 , pp. 375-382
    • Yager, R.R.1
  • 77
    • 84879951095 scopus 로고    scopus 로고
    • Multi-criteria semantic dominance: a linguistic decision aiding technique based on incomplete preference information
    • Yang WE, Wang JQ (2013) Multi-criteria semantic dominance: a linguistic decision aiding technique based on incomplete preference information. Eur J Oper Res 231:171–181
    • (2013) Eur J Oper Res , vol.231 , pp. 171-181
    • Yang, W.E.1    Wang, J.Q.2
  • 78
    • 34248666540 scopus 로고
    • Fuzzy sets
    • Zadeh LA (1965) Fuzzy sets. Inf Control 8:338–356
    • (1965) Inf Control , vol.8 , pp. 338-356
    • Zadeh, L.A.1
  • 79
    • 34250406938 scopus 로고
    • Fuzzy logic and approximate reasoning
    • Zadeh LA (1975a) Fuzzy logic and approximate reasoning. Synthese 30:407–428
    • (1975) Synthese , vol.30 , pp. 407-428
    • Zadeh, L.A.1
  • 80
    • 0016459349 scopus 로고
    • The concept of a linguistic variable and its application to approximate reasoning-I
    • Zadeh LA (1975b) The concept of a linguistic variable and its application to approximate reasoning-I. Inf Sci 8:199–249
    • (1975) Inf Sci , vol.8 , pp. 199-249
    • Zadeh, L.A.1
  • 81
    • 84872608947 scopus 로고    scopus 로고
    • Some interval-valued 2-tuple linguistic aggregation operators and application in multiattribute group decision making
    • Zhang HM (2013a) Some interval-valued 2-tuple linguistic aggregation operators and application in multiattribute group decision making. Appl Math Model 37:4269–4282
    • (2013) Appl Math Model , vol.37 , pp. 4269-4282
    • Zhang, H.M.1
  • 82
    • 84872602972 scopus 로고    scopus 로고
    • Extension of VIKOR method for decision making problem based on hesitant fuzzy set
    • Zhang N, Wei GW (2013) Extension of VIKOR method for decision making problem based on hesitant fuzzy set. Appl Math Model 37:4938–4947
    • (2013) Appl Math Model , vol.37 , pp. 4938-4947
    • Zhang, N.1    Wei, G.W.2
  • 83
    • 84872492424 scopus 로고    scopus 로고
    • A grey relational projection method for multi-attribute decision making based on intuitionistic trapezoidal fuzzy number
    • Zhang X (2013b) A grey relational projection method for multi-attribute decision making based on intuitionistic trapezoidal fuzzy number. Appl Math Model 37:3436–3477
    • (2013) Appl Math Model , vol.37 , pp. 3436-3477
    • Zhang, X.1
  • 84
    • 84897386829 scopus 로고    scopus 로고
    • The TODIM analysis approach based on novel measured functions under hesitant fuzzy environment
    • Zhang XL, Xu ZS (2014) The TODIM analysis approach based on novel measured functions under hesitant fuzzy environment. Knowl Based Syst 61:48–58
    • (2014) Knowl Based Syst , vol.61 , pp. 48-58
    • Zhang, X.L.1    Xu, Z.S.2
  • 85
    • 84875267009 scopus 로고    scopus 로고
    • Hesitant fuzzy power aggregation operators and their application to multiple attribute group decision making
    • Zhang ZM (2013c) Hesitant fuzzy power aggregation operators and their application to multiple attribute group decision making. Inf Sci 234:150–181
    • (2013) Inf Sci , vol.234 , pp. 150-181
    • Zhang, Z.M.1
  • 86
    • 84899029674 scopus 로고    scopus 로고
    • Hesitant fuzzy linguistic aggregation operators and their applications to multiple attribute group decision making
    • Zhang ZM, Wu C (2014) Hesitant fuzzy linguistic aggregation operators and their applications to multiple attribute group decision making. J Intell Fuzzy Syst 26:2185–2202
    • (2014) J Intell Fuzzy Syst , vol.26 , pp. 2185-2202
    • Zhang, Z.M.1    Wu, C.2
  • 87
    • 84894218190 scopus 로고    scopus 로고
    • Consistency measures for hesitant fuzzy linguistic preference relations
    • Zhu B, Xu ZS (2014) Consistency measures for hesitant fuzzy linguistic preference relations. IEEE Trans Fuzzy Syst 22:35–45
    • (2014) IEEE Trans Fuzzy Syst , vol.22 , pp. 35-45
    • Zhu, B.1    Xu, Z.S.2
  • 88
    • 84861580042 scopus 로고    scopus 로고
    • Hesitant fuzzy geometric Bonferroni means
    • Zhu B, Xu ZS, Xia MM (2012) Hesitant fuzzy geometric Bonferroni means. Inf Sci 205:72–85
    • (2012) Inf Sci , vol.205 , pp. 72-85
    • Zhu, B.1    Xu, Z.S.2    Xia, M.M.3


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