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Volumn 9, Issue 2, 2018, Pages 347-358

The neutrosophic number generalized weighted power averaging operator and its application in multiple attribute group decision making

Author keywords

Multiple attribute group decision making (MAGDM); Neutrosophic numbers; Neutrosophic numbers power aggregation operator; Power aggregation operator

Indexed keywords

MATHEMATICAL OPERATORS; NUMERICAL METHODS;

EID: 85040670643     PISSN: 18688071     EISSN: 1868808X     Source Type: Journal    
DOI: 10.1007/s13042-016-0508-0     Document Type: Article
Times cited : (63)

References (45)
  • 1
    • 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
  • 2
    • 0002740725 scopus 로고
    • Intuitionistic fuzzy sets
    • Atanassov KT (1986) Intuitionistic fuzzy sets. Fuzzy Sets Syst 20:87–96
    • (1986) Fuzzy Sets Syst , vol.20 , pp. 87-96
    • Atanassov, K.T.1
  • 4
    • 84961362550 scopus 로고    scopus 로고
    • An outranking approach for multi-criteria decision-making problems with interval-valued neutrosophic sets
    • Zhang HY, Wang J, Chen XH (2015) An outranking approach for multi-criteria decision-making problems with interval-valued neutrosophic sets. Neural Comput Appl. doi:10.1007/s00521-015-1882-3
    • (2015) Neural Comput Appl
    • Zhang, H.Y.1    Wang, J.2    Chen, X.H.3
  • 5
    • 84943235654 scopus 로고    scopus 로고
    • An improved weighted correlation coefficient based on integrated weight for interval neutrosophic sets and its application in multi-criteria decision-making problems
    • Zhang HY, Ji P, Wang J, Chen XH (2015) An improved weighted correlation coefficient based on integrated weight for interval neutrosophic sets and its application in multi-criteria decision-making problems. Int J Comput Intell Syst 8(6):1027–1043
    • (2015) Int J Comput Intell Syst , vol.8 , Issue.6 , pp. 1027-1043
    • Zhang, H.Y.1    Ji, P.2    Wang, J.3    Chen, X.H.4
  • 6
    • 84945324926 scopus 로고    scopus 로고
    • Multi-criteria decision-making method based on a cross-entropy with interval neutrosophic sets
    • Tian ZP, Zhang HY, Wang J, Wang JQ, Chen XH (2015) Multi-criteria decision-making method based on a cross-entropy with interval neutrosophic sets. Int J Syst Sci. doi:10.1080/00207721.2015.1102359
    • (2015) Int J Syst Sci
    • Tian, Z.P.1    Zhang, H.Y.2    Wang, J.3    Wang, J.Q.4    Chen, X.H.5
  • 7
    • 84951909620 scopus 로고    scopus 로고
    • Simplified neutrosophic linguistic normalized weighted Bonferroni mean operator and its application to multi-criteria decision-making problems
    • Tian ZP, Wang J, Zhang H, Chen X, Wang JQ (2015) Simplified neutrosophic linguistic normalized weighted Bonferroni mean operator and its application to multi-criteria decision-making problems. FILOMAT. doi:10.2298/FIL1508576F
    • (2015) FILOMAT
    • Tian, Z.P.1    Wang, J.2    Zhang, H.3    Chen, X.4    Wang, J.Q.5
  • 8
    • 84961205753 scopus 로고    scopus 로고
    • Simplified neutrosophic sets and their applications in multi-criteria group decision-making problems
    • Peng JJ, Wang JQ, Wang J, Zhang HY, Chen XH (2015) Simplified neutrosophic sets and their applications in multi-criteria group decision-making problems. Int J Syst Sci. doi:10.1080/00207721.2014.994050
    • (2015) Int J Syst Sci
    • Peng, J.J.1    Wang, J.Q.2    Wang, J.3    Zhang, H.Y.4    Chen, X.H.5
  • 9
    • 84908352028 scopus 로고    scopus 로고
    • An outranking approach for multi-criteria decision-making problems with simplified neutrosophic sets
    • Peng J, Wang J, Zhang H, Chen X (2014) An outranking approach for multi-criteria decision-making problems with simplified neutrosophic sets. Appl Soft Comput 25:336–346
    • (2014) Appl Soft Comput , vol.25 , pp. 336-346
    • Peng, J.1    Wang, J.2    Zhang, H.3    Chen, X.4
  • 10
    • 84904958948 scopus 로고    scopus 로고
    • Some generalized neutrosophic number Hamacher aggregation operators and their application to group decision making
    • Liu PD, Chu YC, Li YW (2014) Some generalized neutrosophic number Hamacher aggregation operators and their application to group decision making. Int J Fuzzy Syst 16(2):242–255
    • (2014) Int J Fuzzy Syst , vol.16 , Issue.2 , pp. 242-255
    • Liu, P.D.1    Chu, Y.C.2    Li, Y.W.3
  • 11
    • 84920258097 scopus 로고    scopus 로고
    • Multiple attribute decision making method based on single valued neutrosophic normalized weighted bonferroni mean
    • Liu PD, Wang YM (2014) Multiple attribute decision making method based on single valued neutrosophic normalized weighted bonferroni mean. Neural Comput Appl 25(7–8):2001–2010
    • (2014) Neural Comput Appl , vol.25 , Issue.7-8 , pp. 2001-2010
    • Liu, P.D.1    Wang, Y.M.2
  • 12
    • 84925511676 scopus 로고    scopus 로고
    • The generalized hybrid weighted average operator based on interval neutrosophic hesitant set and its application to multiple attribute decision making
    • Liu PD, Shi LL (2015) The generalized hybrid weighted average operator based on interval neutrosophic hesitant set and its application to multiple attribute decision making. Neural Comput Appl 26(2):457–471
    • (2015) Neural Comput Appl , vol.26 , Issue.2 , pp. 457-471
    • Liu, P.D.1    Shi, L.L.2
  • 13
    • 84930532138 scopus 로고    scopus 로고
    • Interval neutrosophic prioritized OWA operator and its application to multiple attribute decision making
    • Li PD, Wang YM (2015) Interval neutrosophic prioritized OWA operator and its application to multiple attribute decision making. J Syst Sci Complex. doi:10.1007/s11424-015-4010-7
    • (2015) J Syst Sci Complex
    • Li, P.D.1    Wang, Y.M.2
  • 14
    • 84940707092 scopus 로고    scopus 로고
    • Multiple attribute decision making method based on some normal neutrosophic Bonferroni mean operators
    • Liu PD, Li HG (2015) Multiple attribute decision making method based on some normal neutrosophic Bonferroni mean operators. Neural Comput Appl. doi:10.1007/s00521-015-2048-z
    • (2015) Neural Comput Appl
    • Liu, P.D.1    Li, H.G.2
  • 16
    • 84978099928 scopus 로고    scopus 로고
    • Multiple attribute group decision making method under neutrosophic number environment
    • Ye J (2015) Multiple attribute group decision making method under neutrosophic number environment. J Intell Syst. doi:10.1515/jisys-2014-0149
    • (2015) J Intell Syst
    • Ye, J.1
  • 18
    • 39749125581 scopus 로고    scopus 로고
    • Dependent uncertain ordered weighted aggregation operators
    • Xu ZS (2008) Dependent uncertain ordered weighted aggregation operators. Inf Fusion 9:310–316
    • (2008) Inf Fusion , vol.9 , pp. 310-316
    • Xu, Z.S.1
  • 19
    • 78650559468 scopus 로고    scopus 로고
    • Decision-making with distance measures and induced aggregation operators
    • Merigó JM, Casanovas M (2011) Decision-making with distance measures and induced aggregation operators. Comput Ind Eng 60:66–76
    • (2011) Comput Ind Eng , vol.60 , pp. 66-76
    • Merigó, J.M.1    Casanovas, M.2
  • 20
    • 78650576150 scopus 로고    scopus 로고
    • Induced and uncertain heavy OWA operators
    • Merigó JM, Casanovas M (2011) Induced and uncertain heavy OWA operators. Comput Ind Eng 60:106–116
    • (2011) Comput Ind Eng , vol.60 , pp. 106-116
    • Merigó, J.M.1    Casanovas, M.2
  • 22
    • 84869490529 scopus 로고    scopus 로고
    • Some generalized dependent aggregation operators with intuitionistic linguistic numbers and their application to group decision making
    • Liu PD (2013) Some generalized dependent aggregation operators with intuitionistic linguistic numbers and their application to group decision making. J Comput Syst Sci 79:131–143
    • (2013) J Comput Syst Sci , vol.79 , pp. 131-143
    • Liu, P.D.1
  • 23
    • 77952260422 scopus 로고    scopus 로고
    • Linguistic aggregation operators for linguistic decision making based on the Dempster–Shafer theory of evidence
    • Merigó JM, Casanovas M, Martínez L (2010) Linguistic aggregation operators for linguistic decision making based on the Dempster–Shafer theory of evidence. Int J Uncertain Fuzz Knowl Based Syst 18(3):287–304
    • (2010) Int J Uncertain Fuzz Knowl Based Syst , vol.18 , Issue.3 , pp. 287-304
    • Merigó, J.M.1    Casanovas, M.2    Martínez, L.3
  • 24
    • 78650852226 scopus 로고    scopus 로고
    • Induced generalized intuitionistic fuzzy operators
    • Xu ZS, Xia MM (2011) Induced generalized intuitionistic fuzzy operators. Knowl Based Syst 24:197–209
    • (2011) Knowl Based Syst , vol.24 , pp. 197-209
    • Xu, Z.S.1    Xia, M.M.2
  • 25
    • 34249282055 scopus 로고    scopus 로고
    • Approach to group decision making based on interval-valued intuitionistic judgment matrices
    • Xu ZS, Chen J (2007) Approach to group decision making based on interval-valued intuitionistic judgment matrices. Syst Eng Theory Pract 27(4):126–133
    • (2007) Syst Eng Theory Pract , vol.27 , Issue.4 , pp. 126-133
    • Xu, Z.S.1    Chen, J.2
  • 26
    • 73849149922 scopus 로고    scopus 로고
    • Generalized aggregation operators for intuitionistic fuzzy sets
    • Zhao H, Xu ZS, Ni MF, Liu SS (2010) Generalized aggregation operators for intuitionistic fuzzy sets. Int J Intell Syst 25:1–30
    • (2010) Int J Intell Syst , vol.25 , pp. 1-30
    • Zhao, H.1    Xu, Z.S.2    Ni, M.F.3    Liu, S.S.4
  • 27
    • 0035521125 scopus 로고    scopus 로고
    • The power average operator
    • Yager R (2001) The power average operator. IEEE Trans Syst Man Cybern 31(6):724–731
    • (2001) IEEE Trans Syst Man Cybern , vol.31 , Issue.6 , pp. 724-731
    • Yager, R.1
  • 28
    • 84862795802 scopus 로고    scopus 로고
    • Generalized power aggregation operators and their applications in group decision making
    • Zhou L, Chen H, Liu J (2012) Generalized power aggregation operators and their applications in group decision making. Comput Ind Eng 62:989–999
    • (2012) Comput Ind Eng , vol.62 , pp. 989-999
    • Zhou, L.1    Chen, H.2    Liu, J.3
  • 29
    • 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
  • 30
    • 84155195244 scopus 로고    scopus 로고
    • A generalization of the power aggregation operators for linguistic environment and its application in group decision making
    • Zhou LG, Chen HY (2012) A generalization of the power aggregation operators for linguistic environment and its application in group decision making. Knowl Based Syst 26:216–224
    • (2012) Knowl Based Syst , vol.26 , pp. 216-224
    • Zhou, L.G.1    Chen, H.Y.2
  • 31
    • 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, Wang JQ, Wu X-H, Wang J, Chen XH (2015) Multi-valued neutrosophic sets and power aggregation operators with their applications in multi-criteria group decision-making problems. Int J Comput Intell Syst 8(4):345–363
    • (2015) Int J Comput Intell Syst , 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
  • 32
    • 84894903833 scopus 로고    scopus 로고
    • 2-dimension uncertain linguistic power generalized weighted aggregation operator and its application for multiple attribute group decision making
    • Liu PD, Yu XC (2014) 2-dimension uncertain linguistic power generalized weighted aggregation operator and its application for multiple attribute group decision making. Knowl Based Syst 57(1):69–80
    • (2014) Knowl Based Syst , vol.57 , Issue.1 , pp. 69-80
    • Liu, P.D.1    Yu, X.C.2
  • 33
    • 84893425672 scopus 로고    scopus 로고
    • Multiple attribute group decision making methods based on intuitionistic linguistic power generalized aggregation operators
    • Liu PD, Wang YM (2014) Multiple attribute group decision making methods based on intuitionistic linguistic power generalized aggregation operators. Appl Soft Comput 17:90–104
    • (2014) Appl Soft Comput , vol.17 , pp. 90-104
    • Liu, P.D.1    Wang, Y.M.2
  • 34
    • 84900000616 scopus 로고    scopus 로고
    • An approach to multiple attribute group decision making based on intuitionistic trapezoidal fuzzy power generalized aggregation operator
    • Liu PD, Liu Y (2014) An approach to multiple attribute group decision making based on intuitionistic trapezoidal fuzzy power generalized aggregation operator. Int J Comput Intell Syst 7(2):291–304
    • (2014) Int J Comput Intell Syst , vol.7 , Issue.2 , pp. 291-304
    • Liu, P.D.1    Liu, Y.2
  • 35
    • 84933496938 scopus 로고    scopus 로고
    • Intuitionistic uncertain linguistic powered einstein aggregation operators and their application to multi-attribute group decision making
    • Liu PD, Shi LL (2015) Intuitionistic uncertain linguistic powered einstein aggregation operators and their application to multi-attribute group decision making. J Appl Anal Comput 5(4):534–561
    • (2015) J Appl Anal Comput , vol.5 , Issue.4 , pp. 534-561
    • Liu, P.D.1    Shi, L.L.2
  • 36
    • 84946900980 scopus 로고    scopus 로고
    • Multiple attribute group decision making methods based on intuitionistic fuzzy frank power aggregation operators
    • Zhang X, Liu PD, Wang YM (2015) Multiple attribute group decision making methods based on intuitionistic fuzzy frank power aggregation operators. J Intell Fuzzy Syst 29:2235–2246
    • (2015) J Intell Fuzzy Syst , vol.29 , pp. 2235-2246
    • Zhang, X.1    Liu, P.D.2    Wang, Y.M.3
  • 37
    • 84926203868 scopus 로고    scopus 로고
    • Multiple attribute group decision making methods based on trapezoidal fuzzy two-dimension linguistic power generalized aggregation operators
    • Li Y, Liu PD, Wang YM (2015) Multiple attribute group decision making methods based on trapezoidal fuzzy two-dimension linguistic power generalized aggregation operators. Soft Comput. doi:10.1007/s00500-015-1668-7
    • (2015) Soft Comput
    • Li, Y.1    Liu, P.D.2    Wang, Y.M.3
  • 38
    • 85040700437 scopus 로고    scopus 로고
    • Multiple attribute decision making method based on normal neutrosophic generalized weighted power averaging operator
    • Liu PD, Teng F (2015) Multiple attribute decision making method based on normal neutrosophic generalized weighted power averaging operator. Int J Mach Learn Cybernet. doi:10.1007/s13042-015-0385-y
    • (2015) Int J Mach Learn Cybernet
    • Liu, P.D.1    Teng, F.2
  • 39
    • 84964792472 scopus 로고    scopus 로고
    • Some power generalized aggregation operators based on the interval neutrosophic numbers and their application to decision making
    • Liu PD, Tang GL (2015) Some power generalized aggregation operators based on the interval neutrosophic numbers and their application to decision making. J Intell Fuzzy Syst. doi:10.3233/IFS-151782
    • (2015) J Intell Fuzzy Syst
    • Liu, P.D.1    Tang, G.L.2
  • 40
    • 85006834607 scopus 로고    scopus 로고
    • Refined Literal Indeterminacy and the Multiplication Law of Sub-Indeterminacies
    • Smarandache F (2015) Refined Literal Indeterminacy and the Multiplication Law of Sub-Indeterminacies. Neutrosophic Sets Syst 9:1–5
    • (2015) Neutrosophic Sets Syst , vol.9 , pp. 1-5
    • Smarandache, F.1
  • 41
    • 84992698664 scopus 로고    scopus 로고
    • n-Valued refined neutrosophic logic and its applications in physics
    • Smarandache F (2013) n-Valued refined neutrosophic logic and its applications in physics. Prog Phys 4:143–146
    • (2013) Prog Phys , vol.4 , pp. 143-146
    • Smarandache, F.1
  • 42
    • 67149088596 scopus 로고    scopus 로고
    • Improving generalization of fuzzy if–then rules by maximizing fuzzy entropy
    • Wang XZ, Dong CR (2009) Improving generalization of fuzzy if–then rules by maximizing fuzzy entropy. IEEE Trans Fuzzy Syst 17(3):556–567
    • (2009) IEEE Trans Fuzzy Syst , vol.17 , Issue.3 , pp. 556-567
    • Wang, X.Z.1    Dong, C.R.2
  • 43
    • 84975259875 scopus 로고    scopus 로고
    • A study on relationship between generalization abilities and fuzziness of base classifiers in ensemble learning
    • Wang XZ, Xing HJ, Li Y, Hua Q, Dong CR, Pedrycz W (2015) A study on relationship between generalization abilities and fuzziness of base classifiers in ensemble learning. IEEE Trans Fuzzy Syst 23(5):1638–1654
    • (2015) IEEE Trans Fuzzy Syst , vol.23 , Issue.5 , pp. 1638-1654
    • Wang, X.Z.1    Xing, H.J.2    Li, Y.3    Hua, Q.4    Dong, C.R.5    Pedrycz, W.6
  • 44
    • 84944558821 scopus 로고    scopus 로고
    • Fuzziness based sample categorization for classifier performance improvement
    • Wang XZ, Ashfaq RAR, Fu AM (2015) Fuzziness based sample categorization for classifier performance improvement. J Intell Fuzzy Syst 29(3):1185–1196
    • (2015) J Intell Fuzzy Syst , vol.29 , Issue.3 , pp. 1185-1196
    • Wang, X.Z.1    Ashfaq, R.A.R.2    Fu, A.M.3
  • 45
    • 84942864553 scopus 로고    scopus 로고
    • Uncertainty in learning from big data-editorial
    • Wang XZ (2015) Uncertainty in learning from big data-editorial. J Intell Fuzzy Syst 28(5):2329–2330
    • (2015) J Intell Fuzzy Syst , vol.28 , Issue.5 , pp. 2329-2330
    • Wang, X.Z.1


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