Intuitionistic fuzzy distance based TOPSIS method and application to MADM

International Journal of Fuzzy System Applications

Volumn 5, Issue 1, 2016, Pages 43-56

  Nan, Jiangxia ^a   Wang, Ting ^a   An, Jingjing ^a  

^a GUILIN UNIVERSITY OF ELECTRONIC TECHNOLOGY   (China)

Author keywords

Fuzzy numbers; Intuitionistic fuzzy distance; Multi attribute decision making; TOPSIS method; Triangular intuitionistic fuzzy number

Indexed keywords

CLUSTERING ALGORITHMS; DECISION MAKING; FUZZY RULES;

FUZZY NUMBERS; INTUITIONISTIC FUZZY DISTANCES; MULTI ATTRIBUTE DECISION MAKING; TOPSIS METHOD; TRIANGULAR INTUITIONISTIC FUZZY NUMBERS;

NUMERICAL METHODS;

EID: 84955557881     PISSN: 2156177X     EISSN: 21561761     Source Type: Journal    
DOI: 10.4018/IJFSA.2016010103     Document Type: Article

References (19)

1. Atanassov, K. T. (1999). Intuitionistic fuzzy sets. Heidelberg: Springer. doi:10.1007/978-3-7908-1870-3
2. Chakraborty, C., & Chakraborty, D. (2006). A theoretical development on a fuzzy distance measure for fuzzy numbers. Mathematical and Computer Modelling, 43(3-4), 254-261. doi:10.1016/j.mcm.2005.09.025
3. Chen, T. Y. (2015). The inclusion-based TOPSIS method with interval-valued intuitionistic fuzzy sets for multiple criteria group decision making. Applied Soft Computing, 26, 57-73.
4. Cheng, C. H. (1998). A new approach for ranking fuzzy numbers by distance method. Fuzzy Sets and Systems, 95(3), 307-317. doi:10.1016/S0165-0114(96)00272-2
5. Grzegorzewski, P. (2003). Distance and orderings in a family of intuitionistic number. In Proceedings of the 3rd Conference of the European Society for Fuzzy Logic and Technology (EUSFLAT'03), Zittau, Germany, 223-227.
6. Grzegorzewski, P. (2004). Distance between intuitionistic fuzzy sets and/or interval-valued fuzzy sets based on the Hausdorff metric. Fuzzy Sets and Systems, 148(2), 319-328. doi:10.1016/j.fss.2003.08.005
7. Guha, D., & Chakraborty, D. (2010). A new approach to fuzzy distance measure and similarity measure between two generalized fuzzy numbers. Applied Soft Computing, 10(1), 90-99. doi:10.1016/j.asoc.2009.06.009
8. Guha, D., & Chakraborty, D. (2010). A Theoretical Development of Distance Measure for Intuitionistic Fuzzy Numbers. International Journal of Mathematics and Mathematical Sciences, 2010, 1-25. doi:10.1155/2010/949143
9. Li, D. F. (2010a). TOPSIS-based nonlinear-programming methodology for multi-attribute decision making with interval-valued intuitionistic fuzzy sets. IEEE Transactions on Fuzzy Systems, 18(2), 299-311.
10. Li, D. F. (2010b). A ratio ranking method of triangular intuitionistic fuzzy numbers and its application to MADM problems. Computers & Mathematics with Applications (Oxford, England), 60(6), 1557-1570. doi:10.1016/j. camwa.2010.06.039
11. Li, D. F. (2012). TOPSIS for multi-attribute group decision making using IFSs. Advances in Fuzzy Sets and Systems, 11(2), 105-129.
12. Li, D. F., & Nan, J. X. (2011). Extension of the TOPSIS for multi-attribute group decision making under Atanassov IFS environments. International Journal of Fuzzy System Applications, 1(4), 47-61. doi:10.4018/ijfsa.2011100104
13. Li, D. F., Nan, J. X., & Zhang, M. J. (2010). A ranking method of triangular intuitionistic fuzzy numbers and application to decision making. International Journal of Computational Intelligence Systems, 3(4), 522-530. doi:10.1080/18756891.2010.9727719
14. Szmidt, E., & Kacprzyk, J. (2000). Distance between intuitionistic fuzzy sets. Fuzzy Sets and Systems, 114(3), 505-518. doi:10.1016/S0165-0114(98)00244-9
15. Tran, L., & Duckstein, L. (2002). Comparison of fuzzy numbers using a fuzzy distance measure. Fuzzy Sets and Systems, 130(3), 331-341. doi:10.1016/S0165-0114(01)00195-6
16. Voxman, W. (1998). Some remarks on distances between fuzzy numbers. Fuzzy Sets and Systems, 100(1-3), 353-365. doi:10.1016/S0165-0114(97)00090-0
17. Wang, W., & Xin, X. (2005). Distance measure between intuitionistic fuzzy sets. Pattern Recognition Letters, 26(13), 2063-2069. doi:10.1016/j.patrec.2005.03.018
18. Xu, R., & Li, C. (2001). Multidimensional least-aquares fitting with a fuzzy model. Fuzzy Sets and Systems, 119(2), 215-223. doi:10.1016/S0165-0114(98)00350-9
19. Zhang, X. L., & Xu, Z. S. (2015). Soft computing based on maximizing consensus and fuzzy TOPSIS approach to interval-valued intuitionistic fuzzy group decision making. Applied Soft Computing, 26, 42-56. doi:10.1016/j. asoc.2014.08.073