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

Applied Mathematical Modelling - Tập 35 - Trang 2544-2556 - 2011
Jin Han Park1, Il Young Park1, Young Chel Kwun2, Xuegong Tan3
1Division of Mathematical Sciences, Pukyong National University, Pusan 608-737, South Korea
2Department of Mathematics, Dong-A University, Pusan 604-714, South Korea
3The College of Chinese Language and Culture, Jinan University, Guangzhou 510631, PR China

Tài liệu tham khảo

Hwang, 1992 Lai, 1994, TOPSIS for MODM, Eur. J. Oper. Res., 76, 486, 10.1016/0377-2217(94)90282-8 Abo-Sinha, 2005, Extensions of TOPSIS for multi-objective large-scale nonlinear programming problems, Appl. Math. Comput., 162, 243, 10.1016/j.amc.2003.12.087 Opricovic, 2004, Compromise solution by MCDM methods: a comparative analysis of VIKOR and TOPSIS, Eur. J. Oper. Res., 156, 445, 10.1016/S0377-2217(03)00020-1 S. Opricovic, Multicriteria Optimization of Civil Engineering Systems, Faculty of Civil Engineering, Belgrade, 1998. Chen, 2000, Extensions of the TOPSIS for group decision-making under fuzzy environment, Fuzzy Sets Syst., 114, 1, 10.1016/S0165-0114(97)00377-1 Chen, 2008, The interval-valued fuzzy TOPSIS method and experimental analysis, Fuzzy Sets Syst., 159, 1410, 10.1016/j.fss.2007.11.004 Jahanshaloo, 2006, An algorithmic method to extend TOPSIS method for decision-making problems with interval data, Appl. Math. Comput., 175, 1375, 10.1016/j.amc.2005.08.048 Jahanshaloo, 2006, Extension of the TOPSIS method for decision-making problems with fuzzy data, Appl. Math. Comput., 181, 1544, 10.1016/j.amc.2006.02.057 Wang, 2007, Generalizing TOPSIS for fuzzy multiple-criteria group decision-making, Comput. Math. Appl., 53, 1762, 10.1016/j.camwa.2006.08.037 Yang, 2007, Multi-attribute decision making methods for plant layout design problem, Robotics Comput. Integrated Manuf., 23, 126, 10.1016/j.rcim.2005.12.002 Sun, 2010, A performance evaluation model by integrating fuzzy AHP and fuzzy TOPSIS methods, Expert Syst. Appl., 37, 7745, 10.1016/j.eswa.2010.04.066 Saaty, 1980 Lazim, 2009, A new hierarchy process in multi-attribute group decision making, Int. J. Soft Comput., 4, 208 Cakir, 2008, A web-based decision support system for multicriteria inventory classification using fuzzy AHP methodology, Expert Syst. Appl., 35, 1367, 10.1016/j.eswa.2007.08.041 Chen, 2008, Combining fuzzy AHP with MDS in identifying the preference similarity of alternatives, Appl. Soft Comput., 8, 110, 10.1016/j.asoc.2006.11.007 Costa, 2008, A critical analysis of the eigenvalue method used to derive priorities in AHP, Eur. J. Oper. Res., 187, 1422, 10.1016/j.ejor.2006.09.022 Huang, 2008, A fuzzy AHP application in government-sponsored R&D project selection, Omega, 36, 1038, 10.1016/j.omega.2006.05.003 Wang, 2008, On the extent analysis metho d for fuzzy AHP and its applications, Eur. J. Oper. Res., 186, 735, 10.1016/j.ejor.2007.01.050 Torfi, 2010, Fuzzy AHP to determine the relative weights of evaluation criteria and fuzzy TOPSIS to rank the alternatives, Appl. Soft Comput., 10, 520, 10.1016/j.asoc.2009.08.021 Atanassov, 1989, Interval-valued intuitionistic fuzzy sets, Fuzzy Sets Syst., 31, 343, 10.1016/0165-0114(89)90205-4 Atanassov, 1994, Operators over interval-valued intuitionistic fuzzy sets, Fuzzy Sets Syst., 64, 159, 10.1016/0165-0114(94)90331-X Xu, 2007, Methods for aggregating interval-valued intuitionistic fuzzy information and their application to decision making, Control Decis., 22, 215 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. Xu, 2007, An approach to group decision making based on interval-valued intuitionistic judgement matrices, Syst. Eng. Theor. Pract., 27, 126, 10.1016/S1874-8651(08)60026-5 Wei, 2007, Some geometric aggregation operators on interval-valued intuitionistic fuzzy sets and their application to group decision making, Proc. 2007 ICCIS, 495 Bustince, 1995, Correlation of interval-valued intuitionistic fuzzy sets, Fuzzy Sets Syst., 74, 10.1016/0165-0114(94)00343-6 Hong, 1998, A note on correlation of interval-valued intuitionistic fuzzy sets, Fuzzy Sets Syst., 95, 113, 10.1016/S0165-0114(96)00311-9 Park, 2009, Correlation coefficient of interval-valued intuitionistic fuzzy sets and its application to multiple attribute group decision making problems, Math. Comput. Model., 50, 1279, 10.1016/j.mcm.2009.06.010 Park, 2008, Distances between interval-valued intuitionistic fuzzy sets, J. Phys.: Conf. Ser., 96, 012089 Deschrijver, 2003, On the relationship between some extensions of fuzzy set theory, Fuzzy Sets Syst., 133, 227, 10.1016/S0165-0114(02)00127-6 Kim, 1999, Interactive group decision making procedure under incomplete information, Eur. J. Oper. Res., 116, 498, 10.1016/S0377-2217(98)00040-X Kim, 1999, An interactive procedure for multiple attribute group decision making with incomplete information: Range-based approach, Eur. J. Oper. Res., 118, 139, 10.1016/S0377-2217(98)00309-9 Burillo, 1996, Entropy on intuitionistic fuzzy sets and interval-valued fuzzy sets, Fuzzy Sets Syst., 78, 305, 10.1016/0165-0114(96)84611-2 Grzegorzewski, 2004, Distance between intuitionistic fuzzy sets and/or interval-valued fuzzy sets on the Hausdorff metric, Fuzzy Sets Syst., 148, 319, 10.1016/j.fss.2003.08.005 Yoon, 1989, The propagation of errors in multiple-attribute decision making analysis: A practical approach, J. Oper. Res. Soc., 40, 681, 10.1057/jors.1989.111 Xu, 2005, An overview of methods for determining OWA weights, Int. J. Intell. Syst., 20, 843, 10.1002/int.20097