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Volumn 66, Issue 11, 2015, Pages 1919-1938

Generalized intuitionistic fuzzy geometric aggregation operators and their application to multi-criteria decision making

Author keywords

Archimedean t norm and t conorm; generalized intuitionistic fuzzy geometric aggregation operator; intuitionistic fuzzy set; multi criteria decision making

Indexed keywords

DECISION MAKING; FUZZY LOGIC; FUZZY SETS; GEOMETRY; MATHEMATICAL OPERATORS;

EID: 84944035553     PISSN: 01605682     EISSN: 14769360     Source Type: Journal    
DOI: 10.1057/jors.2014.104     Document Type: Article
Times cited : (18)

References (66)
  • 1
    • 0002740725 scopus 로고
    • Intuitionistic fuzzy sets
    • Atanassov KT (1986). Intuitionistic fuzzy sets. Fuzzy Sets and Systems 20(1): 87-96.
    • (1986) Fuzzy Sets and Systems , vol.20 , Issue.1 , pp. 87-96
    • Atanassov, K.T.1
  • 2
    • 0000370455 scopus 로고
    • New operations defined over the intuitionistic fuzzy sets
    • Atanassov KT (1994). New operations defined over the intuitionistic fuzzy sets. Fuzzy Sets and Systems 61(2): 137-142.
    • (1994) Fuzzy Sets and Systems , vol.61 , Issue.2 , pp. 137-142
    • Atanassov, K.T.1
  • 3
    • 26944448930 scopus 로고    scopus 로고
    • Prade's paper, terminological difficulties in fuzzy set theory-The case of 'intuitionistic fuzzy sets'
    • Answer to D. Dubois, S. Gottwald, P. Hajek, J. Kacprzyk, H.
    • Atanassov KT (2005). Answer to D. Dubois, S. Gottwald, P. Hajek, J. Kacprzyk, H. Prade's paper, terminological difficulties in fuzzy set theory-The case of 'intuitionistic fuzzy sets'. Fuzzy Sets and Systems 156(3): 496-499.
    • (2005) Fuzzy Sets and Systems , vol.156 , Issue.3 , pp. 496-499
    • Atanassov, K.T.1
  • 4
    • 31444442863 scopus 로고    scopus 로고
    • Intuitionistic fuzzy interpretations of multi-criteria multi-person and multi-measurement tool decision
    • Atanassov KT, Pasi G and Yager RR (2005). Intuitionistic fuzzy interpretations of multi-criteria multi-person and multi-measurement tool decision. International Journal of System Sciences 36(14): 859-868.
    • (2005) International Journal of System Sciences , vol.36 , Issue.14 , pp. 859-868
    • Atanassov, K.T.1    Pasi, G.2    Yager, R.R.3
  • 6
    • 84867900567 scopus 로고    scopus 로고
    • On extending generalized Bonferroni means to Atanassov orthopairs in decision making contexts
    • Beliakov G and James S (2013). On extending generalized Bonferroni means to Atanassov orthopairs in decision making contexts. Fuzzy Sets and Systems 211(1): 84-98.
    • (2013) Fuzzy Sets and Systems , vol.211 , Issue.1 , pp. 84-98
    • Beliakov, G.1    James, S.2
  • 8
    • 0000196513 scopus 로고    scopus 로고
    • Vague sets are intuitionistic fuzzy sets
    • Bustince H and Burillo P (1996). Vague sets are intuitionistic fuzzy sets. Fuzzy Sets and Systems 79(3): 403-405.
    • (1996) Fuzzy Sets and Systems , vol.79 , Issue.3 , pp. 403-405
    • Bustince, H.1    Burillo, P.2
  • 10
    • 33750719988 scopus 로고    scopus 로고
    • Basic intuitionistic principles in fuzzy set theories and its extensions (a terminological debate on Atanassov IFS)
    • Cattaneo G and Ciucci D (2006). Basic intuitionistic principles in fuzzy set theories and its extensions (a terminological debate on Atanassov IFS). Fuzzy Sets and Systems 157(24): 3198-3219.
    • (2006) Fuzzy Sets and Systems , vol.157 , Issue.24 , pp. 3198-3219
    • Cattaneo, G.1    Ciucci, D.2
  • 11
    • 0000425759 scopus 로고
    • Handling multi-criteria fuzzy decisionmaking problems based on vague set theory
    • Chen SM and Tan JM (1994). Handling multi-criteria fuzzy decisionmaking problems based on vague set theory. Fuzzy Sets and Systems 67(2): 163-172.
    • (1994) Fuzzy Sets and Systems , vol.67 , Issue.2 , pp. 163-172
    • Chen, S.M.1    Tan, J.M.2
  • 12
    • 77957834516 scopus 로고    scopus 로고
    • An outcome-oriented approach to multicriteria decision analysis with intuitionistic fuzzy optimistic/pessimistic operators
    • Chen TY (2010). An outcome-oriented approach to multicriteria decision analysis with intuitionistic fuzzy optimistic/pessimistic operators. Expert Systems with Application 37(12): 7762-7774.
    • (2010) Expert Systems with Application , vol.37 , Issue.12 , pp. 7762-7774
    • Chen, T.Y.1
  • 13
    • 79953269374 scopus 로고    scopus 로고
    • Bivariate models of optimism and pessimism in multi-criteria decision-making based on intuitionistic fuzzy sets
    • Chen TY (2011). Bivariate models of optimism and pessimism in multi-criteria decision-making based on intuitionistic fuzzy sets. Information Sciences 181(11): 2139-2165.
    • (2011) Information Sciences , vol.181 , Issue.11 , pp. 2139-2165
    • Chen, T.Y.1
  • 14
    • 0006815490 scopus 로고    scopus 로고
    • Some operations on intuitionistic fuzzy sets
    • De SK, Biswas R and Roy AR (2000). Some operations on intuitionistic fuzzy sets. Fuzzy Sets and Systems 114(3): 477-484.
    • (2000) Fuzzy Sets and Systems , vol.114 , Issue.3 , pp. 477-484
    • De Sk Biswas, R.1    Roy, A.R.2
  • 15
    • 1542303729 scopus 로고    scopus 로고
    • On the representation of intuitionistic fuzzy t-norms and t-conorms
    • Deschrijver G, Cornelis C and Kerre E (2004). On the representation of intuitionistic fuzzy t-norms and t-conorms. IEEE Transactions on Fuzzy Systems 12(1): 45-61.
    • (2004) IEEE Transactions on Fuzzy Systems , vol.12 , Issue.1 , pp. 45-61
    • Deschrijver, G.1    Cornelis, C.2    Kerre, E.3
  • 16
    • 0037448308 scopus 로고    scopus 로고
    • On the relationship between some extensions of fuzzy set theory
    • Deschrijver G and Kerre E (2003). On the relationship between some extensions of fuzzy set theory. Fuzzy Sets and Systems 133(2): 227-235.
    • (2003) Fuzzy Sets and Systems , vol.133 , Issue.2 , pp. 227-235
    • Deschrijver, G.1    Kerre, E.2
  • 17
    • 26944497184 scopus 로고    scopus 로고
    • Terminological difficulties in fuzzy set theory-The case of intuitionistic fuzzy sets
    • Dubois D, Gottwald S, Hajek P, Kacprzyk J and Prade H (2005). Terminological difficulties in fuzzy set theory-The case of intuitionistic fuzzy sets. Fuzzy Sets and Systems 156(3): 485-491.
    • (2005) Fuzzy Sets and Systems , vol.156 , Issue.3 , pp. 485-491
    • Dubois, D.1    Gottwald, S.2    Hajek, P.3    Kacprzyk, J.4    Prade, H.5
  • 18
    • 84856101730 scopus 로고    scopus 로고
    • Gradualness, uncertainty and bipolarity: Making sense of fuzzy sets
    • Dubois D and Prade H (2012). Gradualness, uncertainty and bipolarity: Making sense of fuzzy sets. Fuzzy Sets and Systems 192(1): 3-24.
    • (2012) Fuzzy Sets and Systems , vol.192 , Issue.1 , pp. 3-24
    • Dubois, D.1    Prade, H.2
  • 19
    • 84866506186 scopus 로고    scopus 로고
    • The operations on intuitionistic fuzzy values in the framework of Dempster-Shafer theory
    • Dymova L and Sevastjanov P (2012). The operations on intuitionistic fuzzy values in the framework of Dempster-Shafer theory. Knowledge-Based Systems 35(1): 132-143.
    • (2012) Knowledge-Based Systems , vol.35 , Issue.1 , pp. 132-143
    • Dymova, L.1    Sevastjanov, P.2
  • 22
    • 84890118989 scopus 로고    scopus 로고
    • Generalized intuitionistic fuzzy geometric interaction operators and their application to decision making
    • He YD, Chen HY, Zhou LG, Han B, Zhao QY and Liu JP (2014a). Generalized intuitionistic fuzzy geometric interaction operators and their application to decision making. Expert Systems with Applications 41(5): 2484-2495.
    • (2014) Expert Systems with Applications , vol.41 , Issue.5 , pp. 2484-2495
    • He, Y.D.1    Chen, H.Y.2    Zhou, L.G.3    Han, B.4    Zhao, Q.Y.5    Liu, J.P.6
  • 23
    • 84889644218 scopus 로고    scopus 로고
    • Intuitionistic fuzzy geometric interaction averaging operators and their application to multicriteria decision making
    • He YD, Chen HY, Zhou LG, Liu JP and Tao ZF (2014b). Intuitionistic fuzzy geometric interaction averaging operators and their application to multicriteria decision making. Information Sciences 259(1): 142-159.
    • (2014) Information Sciences , vol.259 , Issue.1 , pp. 142-159
    • He, Y.D.1    Chen, H.Y.2    Zhou, L.G.3    Liu, J.P.4    Tao, Z.F.5
  • 24
    • 0038514007 scopus 로고    scopus 로고
    • An approach for combining linguistic and numerical information based on 2-tuple fuzzy linguistic representation model in decision making
    • Herrera F and Martinez L (2000). An approach for combining linguistic and numerical information based on 2-tuple fuzzy linguistic representation model in decision making. International Journal of Uncertainty, Fuzziness and Knowledge-Based Systems 8(5): 539-562.
    • (2000) International Journal of Uncertainty, Fuzziness and Knowledge-Based Systems , vol.8 , Issue.5 , pp. 539-562
    • Herrera, F.1    Martinez, L.2
  • 25
    • 0346054710 scopus 로고    scopus 로고
    • Multicriteria fuzzy decision-making problems based on vague set theory
    • Hong DH and Choi CH (2000). Multicriteria fuzzy decision-making problems based on vague set theory. Fuzzy Sets and Systems 114(1): 103-113.
    • (2000) Fuzzy Sets and Systems , vol.114 , Issue.1 , pp. 103-113
    • Hong, D.H.1    Ch, C.2
  • 26
    • 0345375384 scopus 로고    scopus 로고
    • Coping availability and stress reduction for optimistic and pessimistic individuals
    • Iwanaga M, Yokoyama H and Seiwa H (2004). Coping availability and stress reduction for optimistic and pessimistic individuals. Personality and Individual Differences 36(1): 11-22.
    • (2004) Personality and Individual Differences , vol.36 , Issue.1 , pp. 11-22
    • Iwanaga, M.1    Yokoyama, H.2    Seiwa, H.3
  • 27
    • 0000125532 scopus 로고
    • Prospect theory: An analysis of decision under risk
    • Kahneman D and Tversky A (1979). Prospect theory: An analysis of decision under risk. Econometrica 47(2): 263-291.
    • (1979) Econometrica , vol.47 , Issue.2 , pp. 263-291
    • Kahneman, D.1    Tversky, A.2
  • 29
    • 9244244218 scopus 로고    scopus 로고
    • Multiattribute decision making models and methods using intuitionistic fuzzy sets
    • Li DF (2005). Multiattribute decision making models and methods using intuitionistic fuzzy sets. Journal of Computer and System Sciences 70(1): 73-85.
    • (2005) Journal of Computer and System Sciences , vol.70 , Issue.1 , pp. 73-85
    • Li, D.F.1
  • 30
    • 77957841194 scopus 로고    scopus 로고
    • Multiattribute decision making method based on generalized OWA operators with intuitionistic fuzzy sets
    • Li DF (2010). Multiattribute decision making method based on generalized OWA operators with intuitionistic fuzzy sets. Expert Systems with Applications 37(12): 8673-8678.
    • (2010) Expert Systems with Applications , vol.37 , Issue.12 , pp. 8673-8678
    • Li, D.F.1
  • 31
    • 33751331720 scopus 로고    scopus 로고
    • Multi-criteria decision-making methods based on intuitionistic fuzzy sets
    • Liu HW and Wang GJ (2007). Multi-criteria decision-making methods based on intuitionistic fuzzy sets. European Journal of Operational Research 179(1): 220-233.
    • (2007) European Journal of Operational Research , vol.179 , Issue.1 , pp. 220-233
    • Liu, H.W.1    Wang, G.J.2
  • 33
    • 0021941719 scopus 로고
    • Optimism, coping and health: Assessment and implications of generalized outcome expectancies
    • Scheier MF and Carver C (1985). Optimism, coping and health: Assessment and implications of generalized outcome expectancies. Health Psychology 4(3): 219-247.
    • (1985) Health Psychology , vol.4 , Issue.3 , pp. 219-247
    • Scheier, M.F.1    Carver, C.2
  • 34
    • 0028725058 scopus 로고
    • Distinguishing optimism from neuroticism (and trait anxiety, self-mastery, and self-esteem): A reevaluation of the life orientation test
    • Scheier MF, Carver CS and Bridges MW (1994). Distinguishing optimism from neuroticism (and trait anxiety, self-mastery, and self-esteem): A reevaluation of the life orientation test. Journal of Personality and Social Psychology 67(6): 1063-1078.
    • (1994) Journal of Personality and Social Psychology , vol.67 , Issue.6 , pp. 1063-1078
    • Scheier, M.F.1    Carver, C.S.2    Bridges, M.W.3
  • 35
    • 84959810873 scopus 로고
    • A behavioral model of rational choice
    • Simon HA (1955). A behavioral model of rational choice. The Quarterly Journal of Economics 69(1): 99-118.
    • (1955) The Quarterly Journal of Economics , vol.69 , Issue.1 , pp. 99-118
    • Simon, H.A.1
  • 36
    • 79954746851 scopus 로고    scopus 로고
    • Generalized intuitionistic fuzzy geometric aggregation operator and its application to multi-criteria group decision making
    • Tan CQ (2011). Generalized intuitionistic fuzzy geometric aggregation operator and its application to multi-criteria group decision making. Soft Computing 15(5): 867-876.
    • (2011) Soft Computing , vol.15 , Issue.5 , pp. 867-876
    • Tan, C.Q.1
  • 37
    • 70349466357 scopus 로고    scopus 로고
    • Intuitionistic fuzzy Choquet integral operator for multi-criteria decision making
    • Tan CQ and Chen XH (2010). Intuitionistic fuzzy Choquet integral operator for multi-criteria decision making. Expert Systems with Applications 37(1): 149-157.
    • (2010) Expert Systems with Applications , vol.37 , Issue.1 , pp. 149-157
    • Tan, C.Q.1    Chen, X.H.2
  • 38
    • 79956337966 scopus 로고    scopus 로고
    • Induced intuitionistic fuzzy Choquet integral operator for multi-criteria decision making
    • Tan CQ and Chen XH (2011). Induced intuitionistic fuzzy Choquet integral operator for multi-criteria decision making. International Journal of Intelligent Systems 26(7): 659-686.
    • (2011) International Journal of Intelligent Systems , vol.26 , Issue.7 , pp. 659-686
    • Tan, C.Q.1    Chen, X.H.2
  • 39
    • 84908481239 scopus 로고    scopus 로고
    • Stochastic multiple criteria decision making with aspiration level based on prospect stochastic dominance
    • Tan CQ, Ip WH and Chen XH (2014a). Stochastic multiple criteria decision making with aspiration level based on prospect stochastic dominance. Knowledge-Based Systems 70(1): 231-241.
    • (2014) Knowledge-Based Systems , vol.70 , Issue.1 , pp. 231-241
    • Tan, C.Q.1    Ip, W.H.2    Chen, X.H.3
  • 41
    • 0242521093 scopus 로고    scopus 로고
    • Intuitionistic fuzzy sets and L-fuzzy sets
    • Wang GJ and He YY (2000). Intuitionistic fuzzy sets and L-fuzzy sets. Fuzzy Sets and Systems 110(2): 271-274.
    • (2000) Fuzzy Sets and Systems , vol.110 , Issue.2 , pp. 271-274
    • Wang, G.J.1    He, Y.Y.2
  • 42
    • 80053052371 scopus 로고    scopus 로고
    • Intuitionistic fuzzy geometric aggregation operators based on Einstein operations
    • Wang W and Liu X (2011). Intuitionistic fuzzy geometric aggregation operators based on Einstein operations. International Journal of Intelligent Systems 26(11): 1049-1075.
    • (2011) International Journal of Intelligent Systems , vol.26 , Issue.11 , pp. 1049-1075
    • Wang, W.1    Liu, X.2
  • 43
    • 70849120362 scopus 로고    scopus 로고
    • Some induced geometric aggregation operators with intuitionistic fuzzy information and their application to group decision making
    • Wei G (2010). Some induced geometric aggregation operators with intuitionistic fuzzy information and their application to group decision making. Applied Soft Computing 10(2): 423-431.
    • (2010) Applied Soft Computing , vol.10 , Issue.2 , pp. 423-431
    • Wei, G.1
  • 44
    • 84870061602 scopus 로고    scopus 로고
    • Intuitionistic fuzzy-valued Choquet integral and its application in multicriteria decision making
    • Wu JZ, Chen F, Nie CP and Zhang Q (2013). Intuitionistic fuzzy-valued Choquet integral and its application in multicriteria decision making. Information Sciences 222(1): 509-527.
    • (2013) Information Sciences , vol.222 , Issue.1 , pp. 509-527
    • Wu, J.Z.1    Chen, F.2    Nie, C.P.3    Zhang, Q.4
  • 46
    • 84862777933 scopus 로고    scopus 로고
    • Some issue on intuitionistic fuzzy aggregation operators based on Archimedean t-conorm and t-norm
    • Xia MM, Xu ZS and Zhu B (2012). Some issue on intuitionistic fuzzy aggregation operators based on Archimedean t-conorm and t-norm. Knowledge-Based Systems 31(1): 78-88.
    • (2012) Knowledge-Based Systems , vol.31 , Issue.1 , pp. 78-88
    • Xia, M.M.1    Xu, Z.S.2    Zhu, B.3
  • 47
    • 84872926994 scopus 로고    scopus 로고
    • Geometric Bonferroni means with their application in multi-criteria decision making
    • Xia MM, Xu ZS and Zhu B (2013). Geometric Bonferroni means with their application in multi-criteria decision making. Knowledge-Based Systems 40(1): 88-100.
    • (2013) Knowledge-Based Systems , vol.40 , Issue.1 , pp. 88-100
    • Xia, M.M.1    Xu, Z.S.2    Zhu, B.3
  • 48
    • 37249067095 scopus 로고    scopus 로고
    • Intuitionistic fuzzy aggregation operations
    • Xu ZS (2007). Intuitionistic fuzzy aggregation operations. IEEE Transactions on Fuzzy Systems 15(6): 1179-1187.
    • (2007) IEEE Transactions on Fuzzy Systems , vol.15 , Issue.6 , pp. 1179-1187
    • Xu, Z.S.1
  • 50
    • 71849091509 scopus 로고    scopus 로고
    • Choquet integrals of weighted intuitionistic fuzzy information
    • Xu ZS (2010). Choquet integrals of weighted intuitionistic fuzzy information. Information Sciences 180(5): 726-736.
    • (2010) Information Sciences , vol.180 , Issue.5 , pp. 726-736
    • Xu, Z.S.1
  • 51
    • 77954554038 scopus 로고    scopus 로고
    • Nonlinear optimization models for multiple attribute group decision making with intuitionistic fuzzy information
    • Xu ZS and Cai XQ (2010). Nonlinear optimization models for multiple attribute group decision making with intuitionistic fuzzy information. International Journal of Intelligent Systems 25(6): 489-513.
    • (2010) International Journal of Intelligent Systems , vol.25 , Issue.6 , pp. 489-513
    • Xu, Z.S.1    Cai, X.Q.2
  • 53
    • 33750916532 scopus 로고    scopus 로고
    • Some geometric aggregation operators based on intuitionistic fuzzy sets
    • Xu ZS and Yager RR (2006). Some geometric aggregation operators based on intuitionistic fuzzy sets. International Journal of General Systems 35(4): 417-433.
    • (2006) International Journal of General Systems , vol.35 , Issue.4 , pp. 417-433
    • Xu, Z.S.1    Yager, R.R.2
  • 54
    • 40049093058 scopus 로고    scopus 로고
    • Dynamic intuitionistic fuzzy multi-attribute decision making
    • Xu ZS and Yager RR (2008). Dynamic intuitionistic fuzzy multi-attribute decision making. International Journal of Approximate Reasoning 48(1): 246-262.
    • (2008) International Journal of Approximate Reasoning , vol.48 , Issue.1 , pp. 246-262
    • Xu, Z.S.1    Yager, R.R.2
  • 56
    • 0023855863 scopus 로고
    • On ordered weighted averaging aggregation operators in multi-criteria decision making
    • Yager RR (1988). On ordered weighted averaging aggregation operators in multi-criteria decision making. IEEE Transactions on Systems Man and Cybernetics 18(1): 183-190.
    • (1988) IEEE Transactions on Systems Man and Cybernetics , vol.18 , Issue.1 , pp. 183-190
    • Yager, R.R.1
  • 58
    • 74949095084 scopus 로고    scopus 로고
    • OWA aggregation of intuitionistic fuzzy sets
    • Yager RR (2009a). OWA aggregation of intuitionistic fuzzy sets. International Journal of General Systems 38(6): 617-641.
    • (2009) International Journal of General Systems , vol.38 , Issue.6 , pp. 617-641
    • Yager, R.R.1
  • 59
    • 70349768048 scopus 로고    scopus 로고
    • On generalized Bonferroni mean operators for multi-criteria aggregation
    • Yager RR (2009b). On generalized Bonferroni mean operators for multi-criteria aggregation. International Journal of Approximate Reasoning 50(8): 1279-1286.
    • (2009) International Journal of Approximate Reasoning , vol.50 , Issue.8 , pp. 1279-1286
    • Yager, R.R.1
  • 60
    • 84875932286 scopus 로고    scopus 로고
    • Intuitionistic fuzzy geometric Heronian mean aggregation operators
    • Yu D (2013a). Intuitionistic fuzzy geometric Heronian mean aggregation operators. Applied Soft Computing 13(2): 1235-1246.
    • (2013) Applied Soft Computing , vol.13 , Issue.2 , pp. 1235-1246
    • Yu, D.1
  • 61
    • 84873334934 scopus 로고    scopus 로고
    • Multi-criteria decision making based on generalized geometric aggregation operators under intuitionistic fuzzy environment. Information
    • Yu D (2013b). Multi-criteria decision making based on generalized geometric aggregation operators under intuitionistic fuzzy environment. Information: An International Interdisciplinary Journal 16(1): 29-38.
    • (2013) An International Interdisciplinary Journal , vol.16 , Issue.1 , pp. 29-38
    • Yu, D.1
  • 63
    • 0015558134 scopus 로고
    • Outline of a new approach to the analysis of complex systems and decision processes interval-valued fuzzy sets
    • Zadeh LA (1973). Outline of a new approach to the analysis of complex systems and decision processes interval-valued fuzzy sets. IEEE Transactions on Systems Man and Cybernetics 3(1): 28-44.
    • (1973) IEEE Transactions on Systems Man and Cybernetics , vol.3 , Issue.1 , pp. 28-44
    • Zadeh, L.A.1
  • 65
    • 84870063316 scopus 로고    scopus 로고
    • Some intuitionistic fuzzy Einstein hybrid aggregation operators and their application to multiattribute decision making
    • Zhao X and Wei G (2013). Some intuitionistic fuzzy Einstein hybrid aggregation operators and their application to multiattribute decision making. Knowledge-Based Systems 37(1): 472-479.
    • (2013) Knowledge-Based Systems , vol.37 , Issue.1 , pp. 472-479
    • Zhao, X.1    Wei, G.2
  • 66
    • 84887827202 scopus 로고    scopus 로고
    • Generalized Atanassov's intuitionistic fuzzy power geometric operators and their application to multiple attribute group decision making
    • Zhang ZM (2013). Generalized Atanassov's intuitionistic fuzzy power geometric operators and their application to multiple attribute group decision making. Information Fusion 14(4): 460-486.
    • (2013) Information Fusion , vol.14 , Issue.4 , pp. 460-486
    • Zhang, Z.M.1


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