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Volumn 35, Issue 5, 2011, Pages 2544-2556

Extension of the TOPSIS method for decision making problems under interval-valued intuitionistic fuzzy environment

Author keywords

Interval valued intuitionistic fuzzy decision matrix; Interval valued intuitionistic fuzzy hybrid geometric (IIFHG) operator; Interval valued intuitionistic fuzzy number (IVIFN); Multiple attribute group decision making (MAGDM); TOPSIS

Indexed keywords

INTERVAL-VALUED; INTERVAL-VALUED INTUITIONISTIC FUZZY NUMBER; INTUITIONISTIC FUZZY; MULTIPLE ATTRIBUTE GROUP; TOPSIS;

EID: 78751632458     PISSN: 0307904X     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.apm.2010.11.025     Document Type: Article
Times cited : (298)

References (37)
  • 3
    • 10444284193 scopus 로고    scopus 로고
    • Extensions of TOPSIS for multi-objective large-scale nonlinear programming problems
    • Abo-Sinha M.A., Amer A.H. Extensions of TOPSIS for multi-objective large-scale nonlinear programming problems. Appl. Math. Comput. 2005, 162:243-256.
    • (2005) Appl. Math. Comput. , vol.162 , pp. 243-256
    • Abo-Sinha, M.A.1    Amer, A.H.2
  • 4
    • 1442283191 scopus 로고    scopus 로고
    • Compromise solution by MCDM methods: a comparative analysis of VIKOR and TOPSIS
    • Opricovic S., Tzeng G.H. Compromise solution by MCDM methods: a comparative analysis of VIKOR and TOPSIS. Eur. J. Oper. Res. 2004, 156:445-455.
    • (2004) Eur. J. Oper. Res. , vol.156 , pp. 445-455
    • Opricovic, S.1    Tzeng, G.H.2
  • 5
    • 78751612713 scopus 로고    scopus 로고
    • Multicriteria Optimization of Civil Engineering Systems, Faculty of Civil Engineering, Belgrade,
    • S. Opricovic, Multicriteria Optimization of Civil Engineering Systems, Faculty of Civil Engineering, Belgrade, 1998.
    • (1998)
    • Opricovic, S.1
  • 6
    • 0002296389 scopus 로고    scopus 로고
    • Extensions of the TOPSIS for group decision-making under fuzzy environment
    • Chen C.T. Extensions of the TOPSIS for group decision-making under fuzzy environment. Fuzzy Sets Syst. 2000, 114:1-9.
    • (2000) Fuzzy Sets Syst. , vol.114 , pp. 1-9
    • Chen, C.T.1
  • 7
    • 41549152994 scopus 로고    scopus 로고
    • The interval-valued fuzzy TOPSIS method and experimental analysis
    • Chen T.Y., Tsao C.Y. The interval-valued fuzzy TOPSIS method and experimental analysis. Fuzzy Sets Syst. 2008, 159:1410-1428.
    • (2008) Fuzzy Sets Syst. , vol.159 , pp. 1410-1428
    • Chen, T.Y.1    Tsao, C.Y.2
  • 8
    • 33645847216 scopus 로고    scopus 로고
    • An algorithmic method to extend TOPSIS method for decision-making problems with interval data
    • Jahanshaloo G.R., Hosseinzadeh Lotfi F., Izadikhah M. An algorithmic method to extend TOPSIS method for decision-making problems with interval data. Appl. Math. Comput. 2006, 175:1375-1384.
    • (2006) Appl. Math. Comput. , vol.175 , pp. 1375-1384
    • Jahanshaloo, G.R.1    Hosseinzadeh Lotfi, F.2    Izadikhah, M.3
  • 9
    • 33750479859 scopus 로고    scopus 로고
    • Extension of the TOPSIS method for decision-making problems with fuzzy data
    • Jahanshaloo G.R., Hosseinzadeh Lotfi F., Izadikhah M. Extension of the TOPSIS method for decision-making problems with fuzzy data. Appl. Math. Comput. 2006, 181:1544-1551.
    • (2006) Appl. Math. Comput. , vol.181 , pp. 1544-1551
    • Jahanshaloo, G.R.1    Hosseinzadeh Lotfi, F.2    Izadikhah, M.3
  • 10
    • 34249315831 scopus 로고    scopus 로고
    • Generalizing TOPSIS for fuzzy multiple-criteria group decision-making
    • Wang Y.J., Lee H.S. Generalizing TOPSIS for fuzzy multiple-criteria group decision-making. Comput. Math. Appl. 2007, 53:1762-1772.
    • (2007) Comput. Math. Appl. , vol.53 , pp. 1762-1772
    • Wang, Y.J.1    Lee, H.S.2
  • 11
    • 33750736678 scopus 로고    scopus 로고
    • Multi-attribute decision making methods for plant layout design problem
    • Yang T., Hung C.C. Multi-attribute decision making methods for plant layout design problem. Robotics Comput. Integrated Manuf. 2007, 23:126-137.
    • (2007) Robotics Comput. Integrated Manuf. , vol.23 , pp. 126-137
    • Yang, T.1    Hung, C.C.2
  • 12
    • 77957839959 scopus 로고    scopus 로고
    • A performance evaluation model by integrating fuzzy AHP and fuzzy TOPSIS methods
    • Sun C.C. A performance evaluation model by integrating fuzzy AHP and fuzzy TOPSIS methods. Expert Syst. Appl. 2010, 37:7745-7754.
    • (2010) Expert Syst. Appl. , vol.37 , pp. 7745-7754
    • Sun, C.C.1
  • 14
    • 77949885736 scopus 로고    scopus 로고
    • A new hierarchy process in multi-attribute group decision making
    • Lazim A., Sunadia J., Imran T. A new hierarchy process in multi-attribute group decision making. Int. J. Soft Comput. 2009, 4:208-214.
    • (2009) Int. J. Soft Comput. , vol.4 , pp. 208-214
    • Lazim, A.1    Sunadia, J.2    Imran, T.3
  • 15
    • 44949265294 scopus 로고    scopus 로고
    • A web-based decision support system for multicriteria inventory classification using fuzzy AHP methodology
    • Cakir O., Canbolat M.S. A web-based decision support system for multicriteria inventory classification using fuzzy AHP methodology. Expert Syst. Appl. 2008, 35:1367-1378.
    • (2008) Expert Syst. Appl. , vol.35 , pp. 1367-1378
    • Cakir, O.1    Canbolat, M.S.2
  • 16
    • 34548473095 scopus 로고    scopus 로고
    • Combining fuzzy AHP with MDS in identifying the preference similarity of alternatives
    • Chen M.F., Tzeng G.H., Ding C.G. Combining fuzzy AHP with MDS in identifying the preference similarity of alternatives. Appl. Soft Comput. 2008, 8:110-117.
    • (2008) Appl. Soft Comput. , vol.8 , pp. 110-117
    • Chen, M.F.1    Tzeng, G.H.2    Ding, C.G.3
  • 17
    • 36849024019 scopus 로고    scopus 로고
    • A critical analysis of the eigenvalue method used to derive priorities in AHP
    • Costa C.A.B., Vansnick J.C. A critical analysis of the eigenvalue method used to derive priorities in AHP. Eur. J. Oper. Res. 2008, 187:1422-1428.
    • (2008) Eur. J. Oper. Res. , vol.187 , pp. 1422-1428
    • Costa, C.A.B.1    Vansnick, J.C.2
  • 18
    • 41049110990 scopus 로고    scopus 로고
    • A fuzzy AHP application in government-sponsored R&D project selection
    • Huang C.C., Chu P.Y., Chiang Y.H. A fuzzy AHP application in government-sponsored R&D project selection. Omega 2008, 36:1038-1052.
    • (2008) Omega , vol.36 , pp. 1038-1052
    • Huang, C.C.1    Chu, P.Y.2    Chiang, Y.H.3
  • 19
    • 35348973437 scopus 로고    scopus 로고
    • On the extent analysis metho d for fuzzy AHP and its applications
    • Wang Y.M., Luo Y., Hua Z. On the extent analysis metho d for fuzzy AHP and its applications. Eur. J. Oper. Res. 2008, 186:735-747.
    • (2008) Eur. J. Oper. Res. , vol.186 , pp. 735-747
    • Wang, Y.M.1    Luo, Y.2    Hua, Z.3
  • 20
    • 70649102118 scopus 로고    scopus 로고
    • Fuzzy AHP to determine the relative weights of evaluation criteria and fuzzy TOPSIS to rank the alternatives
    • Torfi F., Farahani R.Z., Rezapour S. Fuzzy AHP to determine the relative weights of evaluation criteria and fuzzy TOPSIS to rank the alternatives. Appl. Soft Comput. 2010, 10:520-528.
    • (2010) Appl. Soft Comput. , vol.10 , pp. 520-528
    • Torfi, F.1    Farahani, R.Z.2    Rezapour, S.3
  • 21
    • 0001334287 scopus 로고
    • Interval-valued intuitionistic fuzzy sets
    • Atanassov K., Gargov G. Interval-valued intuitionistic fuzzy sets. Fuzzy Sets Syst. 1989, 31:343-349.
    • (1989) Fuzzy Sets Syst. , vol.31 , pp. 343-349
    • Atanassov, K.1    Gargov, G.2
  • 22
    • 38149146861 scopus 로고
    • Operators over interval-valued intuitionistic fuzzy sets
    • Atanassov K. Operators over interval-valued intuitionistic fuzzy sets. Fuzzy Sets Syst. 1994, 64:159-174.
    • (1994) Fuzzy Sets Syst. , vol.64 , pp. 159-174
    • Atanassov, K.1
  • 23
    • 34147195391 scopus 로고    scopus 로고
    • Methods for aggregating interval-valued intuitionistic fuzzy information and their application to decision making
    • Xu Z.S. Methods for aggregating interval-valued intuitionistic fuzzy information and their application to decision making. Control Decis. 2007, 22:215-219.
    • (2007) Control Decis. , vol.22 , pp. 215-219
    • Xu, Z.S.1
  • 24
    • 44049105966 scopus 로고    scopus 로고
    • On geometric aggregation over interval-valued intuitionistic fuzzy information, in: Proceedings of Fourth International Conference on Fuzzy Systems and Knowledge Discovery (FSKD'07)
    • Z.S. Xu, J. Chen, On geometric aggregation over interval-valued intuitionistic fuzzy information, in: Proceedings of Fourth International Conference on Fuzzy Systems and Knowledge Discovery (FSKD'07) vol. 2, 2007, pp. 466-471.
    • (2007) , vol.2 , pp. 466-471
    • Xu, Z.S.1    Chen, J.2
  • 25
    • 34249282055 scopus 로고    scopus 로고
    • An approach to group decision making based on interval-valued intuitionistic judgement matrices
    • Xu Z.S., Chen J. An approach to group decision making based on interval-valued intuitionistic judgement matrices. Syst. Eng. Theor. Pract. 2007, 27:126-133.
    • (2007) Syst. Eng. Theor. Pract. , vol.27 , pp. 126-133
    • Xu, Z.S.1    Chen, J.2
  • 26
    • 48349135732 scopus 로고    scopus 로고
    • Some geometric aggregation operators on interval-valued intuitionistic fuzzy sets and their application to group decision making
    • Wei G.W., Wang X.R. Some geometric aggregation operators on interval-valued intuitionistic fuzzy sets and their application to group decision making. Proc. 2007 ICCIS 2007, 495-499.
    • (2007) Proc. 2007 ICCIS , pp. 495-499
    • Wei, G.W.1    Wang, X.R.2
  • 27
    • 0000453026 scopus 로고
    • Correlation of interval-valued intuitionistic fuzzy sets
    • Bustince H., Burillo P. Correlation of interval-valued intuitionistic fuzzy sets. Fuzzy Sets Syst. 1995, 74. 327-244.
    • (1995) Fuzzy Sets Syst. , vol.74 , pp. 327-244
    • Bustince, H.1    Burillo, P.2
  • 28
    • 0001753953 scopus 로고    scopus 로고
    • A note on correlation of interval-valued intuitionistic fuzzy sets
    • Hong D.H. A note on correlation of interval-valued intuitionistic fuzzy sets. Fuzzy Sets Syst. 1998, 95:113-117.
    • (1998) Fuzzy Sets Syst. , vol.95 , pp. 113-117
    • Hong, D.H.1
  • 29
    • 70349472932 scopus 로고    scopus 로고
    • Correlation coefficient of interval-valued intuitionistic fuzzy sets and its application to multiple attribute group decision making problems
    • Park D.G., Kwun Y.C., Park J.H., Park I.Y. Correlation coefficient of interval-valued intuitionistic fuzzy sets and its application to multiple attribute group decision making problems. Math. Comput. Model. 2009, 50:1279-1293.
    • (2009) Math. Comput. Model. , vol.50 , pp. 1279-1293
    • Park, D.G.1    Kwun, Y.C.2    Park, J.H.3    Park, I.Y.4
  • 30
    • 40549143996 scopus 로고    scopus 로고
    • Distances between interval-valued intuitionistic fuzzy sets
    • Park J.H., Lim K.M., Park J.S., Kwun Y.C. Distances between interval-valued intuitionistic fuzzy sets. J. Phys.: Conf. Ser. 2008, 96:012089.
    • (2008) J. Phys.: Conf. Ser. , vol.96 , pp. 012089
    • Park, J.H.1    Lim, K.M.2    Park, J.S.3    Kwun, Y.C.4
  • 31
    • 0037448308 scopus 로고    scopus 로고
    • On the relationship between some extensions of fuzzy set theory
    • Deschrijver G., Kerre E. On the relationship between some extensions of fuzzy set theory. Fuzzy Sets Syst. 2003, 133:227-235.
    • (2003) Fuzzy Sets Syst. , vol.133 , pp. 227-235
    • Deschrijver, G.1    Kerre, E.2
  • 32
    • 0032664416 scopus 로고    scopus 로고
    • Interactive group decision making procedure under incomplete information
    • Kim S.H., Ahn B.S. Interactive group decision making procedure under incomplete information. Eur. J. Oper. Res. 1999, 116:498-507.
    • (1999) Eur. J. Oper. Res. , vol.116 , pp. 498-507
    • Kim, S.H.1    Ahn, B.S.2
  • 33
    • 0032627691 scopus 로고    scopus 로고
    • An interactive procedure for multiple attribute group decision making with incomplete information: Range-based approach
    • Kim S.H., Choi S.H., Kim H. An interactive procedure for multiple attribute group decision making with incomplete information: Range-based approach. Eur. J. Oper. Res. 1999, 118:139-152.
    • (1999) Eur. J. Oper. Res. , vol.118 , pp. 139-152
    • Kim, S.H.1    Choi, S.H.2    Kim, H.3
  • 34
    • 0000492650 scopus 로고    scopus 로고
    • Entropy on intuitionistic fuzzy sets and interval-valued fuzzy sets
    • Burillo P., Bustince H. Entropy on intuitionistic fuzzy sets and interval-valued fuzzy sets. Fuzzy Sets Syst. 1996, 78:305-316.
    • (1996) Fuzzy Sets Syst. , vol.78 , pp. 305-316
    • Burillo, P.1    Bustince, H.2
  • 35
    • 5644283518 scopus 로고    scopus 로고
    • Distance between intuitionistic fuzzy sets and/or interval-valued fuzzy sets on the Hausdorff metric
    • Grzegorzewski P. Distance between intuitionistic fuzzy sets and/or interval-valued fuzzy sets on the Hausdorff metric. Fuzzy Sets Syst. 2004, 148:319-328.
    • (2004) Fuzzy Sets Syst. , vol.148 , pp. 319-328
    • Grzegorzewski, P.1
  • 36
    • 84974875086 scopus 로고
    • The propagation of errors in multiple-attribute decision making analysis: A practical approach
    • Yoon K. The propagation of errors in multiple-attribute decision making analysis: A practical approach. J. Oper. Res. Soc. 1989, 40:681-686.
    • (1989) J. Oper. Res. Soc. , vol.40 , pp. 681-686
    • Yoon, K.1
  • 37
    • 24944462936 scopus 로고    scopus 로고
    • An overview of methods for determining OWA weights
    • Xu Z.S. An overview of methods for determining OWA weights. Int. J. Intell. Syst. 2005, 20:843-865.
    • (2005) Int. J. Intell. Syst. , vol.20 , pp. 843-865
    • Xu, Z.S.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.