Generalized hesitant fuzzy synergetic weighted distance measures and their application to multiple criteria decision-making

Applied Mathematical Modelling

Volumn 37, Issue 8, 2013, Pages 5837-5850

  Peng, Ding Hong ^a,b   Gao, Chang Yuan ^b   Gao, Zhi Fang ^a  

^a KUNMING UNIVERSITY OF SCIENCE AND TECHNOLOGY   (China)

^b HARBIN UNIVERSITY OF SCIENCE AND TECHNOLOGY   (China)

Author keywords

Hesitant fuzzy sets; Multiple criteria decision making; Synergetic weighted distance measures

Indexed keywords

DECISION MAKERS; DECISION STRATEGY; FUZZY DISTANCE; FUZZY INFORMATION; HESITANT FUZZY SETS; IMPORTANCE DEGREES; MULTIPLE CRITERIA DECISION MAKING; NUMERICAL EXAMPLE; SIMILARITY MEASURE; WEIGHTED DISTANCE; WEIGHTED DISTANCE MEASURES;

FUZZY SETS;

DECISION MAKING;

EID: 84874579148     PISSN: 0307904X     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.apm.2012.11.016     Document Type: Article

References (44)

1. Zeleny M. Multiple Criteria Decision Making 1982, McGraw-Hill, New York.
2. Steuer R.E. Multiple criteria optimization: Theory, Computation, and Application 1986, John Wiley, NY.
3. Sayadi M.K., Heydari M., Shahanaghi K. Extension of VIKOR method for decision making problem with interval numbers. Appl. Math. Model. 2009, 33:2257-2262.
4. Wang Y.-J. A fuzzy multi-criteria decision-making model based on lower and upper boundaries. Appl. Math. Model. 2011, 35:3213-3224.
5. Kao C. Weight determination for consistently ranking alternatives in multiple criteria decision analysis. Appl. Math. Model. 2010, 34:1779-1787.
6. Yue Z. A method for group decision-making based on determining weights of decision makers using TOPSIS. Appl. Math. Model. 2011, 35:1926-1936.
7. Chen T.-Y. Multiple criteria group decision-making with generalized interval-valued fuzzy numbers based on signed distances and incomplete weights. Appl. Math. Model. 2012, 36:3029-3052.
8. Fan J., Xie W. Distance measure and induced fuzzy entropy. Fuzzy Sets Syst. 1999, 104:305-314.
9. Fan J.-L., Ma Y.-L., Xie W.-X. On some properties of distance measures. Fuzzy Sets Syst. 2001, 117:355-361.
10. Balopoulos V., Hatzimichailidis A.G., Papadopoulos B.K. Distance and similarity measures for fuzzy operators. Inf. Sci. 2007, 177:2336-2348.
11. Zeng W., Guo P. Normalized distance, similarity measure, inclusion measure and entropy of interval-valued fuzzy sets and their relationship. Inf. Sci. 2008, 178:1334-1342.
12. Szmidt E., Kacprzyk J. Distances between intuitionistic fuzzy sets. Fuzzy Sets Syst. 2000, 114:505-518.
13. Grzegorzewski P. Distances between intuitionistic fuzzy sets and/or interval-valued fuzzy sets based on the Hausdorff metric. Fuzzy Sets Syst. 2004, 148:319-328.
14. Wang W., Xin X. Distance measure between intuitionistic fuzzy sets. Pattern Recogn. Lett. 2005, 26:2063-2069.
15. Xu Z.S., Chen J. An overview of distance and similarity measures of intuitionistic fuzzy sets. Int. J. Uncertainty Fuzzyness 2008, 16:529-555.
16. Miyamoto S. Fuzzy multisets and their generalizations. Multiset Processing, Lecture Notes in Computer Science 2001, 2235:225-235. Springer, Berlin.
17. Miyamoto S. Information clustering based on fuzzy multisets. Inf. Process. Manage. 2003, 39:195-213.
18. Yager R.R. On ordered weighted averaging aggregation operators in multicriteria decision-making. IEEE Trans. Syst. Man Cybern. Part A 1988, 18:183-190.
19. Xu Z., Chen J. Ordered weighted distance measure. J. Syst. Sci. Syst. Eng. 2008, 17:432-445.
20. Yager R.R. Norms induced from OWA operators. IEEE Trans. Fuzzy Syst. 2010, 18:57-66.
21. Merigó J.M., Gil-Lafuente A.M. New decision-making techniques and their application in the selection of financial products. Inf. Sci. 2010, 180:2085-2094.
22. Zeng S. Some intuitionistic fuzzy weighted distance measures and their application to group decision making. Group Decis. Nego 2011, 10.1007/s10726-011-9262-6.
23. Torra V. Hesitant fuzzy sets. Int. J. Intell. Syst. 2010, 25:529-539.
24. V. Torra, Y. Narukawa, On hesitant fuzzy sets and decision, in: The 18th IEEE International Conference on Fuzzy Systems, Jeju Island, Korea, 2009, pp. 1378-1382.
25. Miyamoto S. Remarks on basics of fuzzy sets and fuzzy multisets. Fuzzy Sets Syst. 2005, 156:427-431.
26. Miyamoto S. Multisets and fuzzy multisets. Soft Computing and Human-Centered Machines 2000, 9-33. Springer, Berlin. Z.-Q. Liu, S. Miyamoto (Eds.).
27. Yager R.R. On the theory of bags. Int. J. Gen. Syst. 1986, 13:23-37.
28. Atanassov K.T. Intultionistic fuzzy sets. Fuzzy Sets Syst. 1986, 20:87-96.
29. Karnik N.N., Mendel J.M., Liang Q. Type-2 fuzzy logic systems. IEEE Trans. Fuzzy Syst. 1999, 7:643-658.
30. Xia M., Xu Z. Hesitant fuzzy information aggregation in decision making. Int. J. Approximate Reasoning 2011, 52:395-407.
31. M. Xia, Z. Xu, N. Chen, Some hesitant fuzzy aggregation operators with their application in group decision making, Group Decis. Nego. (2011) 1-21.
32. Xu Z., Xia M. On distance and correlation measures of hesitant fuzzy information. Int. J. Intell. Syst. 2011, 26:410-425.
33. Xu Z., Xia M. Distance and similarity measures for hesitant fuzzy sets. Inf. Sci. 2011, 181:2128-2138.
34. Chen N., Xu Z., Xia M. Correlation coefficients of hesitant fuzzy sets and their applications to clustering analysis. Appl. Math. Model. 2012, 10.1016/j.apm.2012.04. 031.
35. Qian G., Wang H., Feng X. Generalized of hesitant fuzzy sets and their application in decision support system. Knowledge Based Syst. 2012, 10.1016/j.knosys.2012. 08.019.
36. Xu Z. Hybrid weighted distance measures and their application to pattern recognition. Intelligent Data Engineering and Automated Learning, Lecture Notes in Computer Science 2001, 5326:17-23. Springer, Berlin.
37. Xu Z.S., Da Q.L. An overview of operators for aggregating information. Int. J. Intell. Syst. 2003, 18:953-969.
38. Lin J., Jiang Y. Some hybrid weighted averaging operators and their application to decision making. Inf. Fusion 2011, 10.1016/j.inffus.2011.06.001.
39. Engemann K.J., Filev D.P., Yager R.R. Modelling decision making using immediate probabilities. Int. J. Gen. Syst. 1996, 24:281-294.
40. Malczewski J. Ordered weighted averaging with fuzzy quantifiers: GIS-based multicriteria evaluation for land-use suitability analysis. Int. J. Appl. Earth Obs. 2006, 8:270-277.
41. Dyckhoff H., Pedrycz W. Generalized means as model of compensative connectives. Fuzzy Sets Syst. 1984, 14:143-154.
42. Yager R.R. Quantifier guided aggregation using OWA operators. Int. J. Intell. Syst. 1996, 11:49-73.
43. Xu Z. An overview of methods for determining OWA weights. Int. J. Intell. Syst. 2005, 20:843-865.
44. Chen T.-Y. Bivariate models of optimism and pessimism in multi-criteria decision-making based on intuitionistic fuzzy sets. Inf. Sci. 2011, 181:2139-2165.