Hesitant fuzzy Bonferroni means for multi-criteria decision making

Journal of the Operational Research Society

Volumn 64, Issue 12, 2013, Pages 1831-1840

  Zhu, B ^a   Xu, Z S ^a  

^a Southeast University   (China)

Author keywords

Bonferroni mean (BM); Hesitant Bonferroni element (HBE); Hesitant fuzzy Bonferroni mean (HFBM); Hesitant fuzzy set (HFS); Multi criteria decision making (MCDM)

Indexed keywords

DECISION THEORY; FUZZY INFERENCE;

BONFERRONI MEAN (BM); HESITANT BONFERRONI ELEMENT (HBE); HESITANT FUZZY BONFERRONI MEAN (HFBM); HESITANT FUZZY SET (HFS); MULTI-CRITERIA DECISION MAKING;

DECISION MAKING;

EID: 84888881026     PISSN: 01605682     EISSN: 14769360     Source Type: Journal    
DOI: 10.1057/jors.2013.7     Document Type: Article

References (52)

1. Atanassov K (1986). Intuitionistic fuzzy sets. Fuzzy Sets and Systems 20(1): 87-96
2. Beliakov G, Pradera A and Calvo T (2007). Aggregation Functions: A Guide for Practitioners. Springer: Heidelberg
3. Beliakov G, James S, Mordelová J, Rückschlossová T and Yager RR (2010). Generalized Bonferroni mean operators in multicriteria aggregation. Fuzzy Sets and Systems 161(17): 2227-2242
4. Bonferroni C (1950). Sulle medie multiple di potenze. Bolletino Matematica Italiana 5(3): 267-270
5. Bullen PS (2003). Handbook of Mean and Their Inequalities. Dordrecht, Kluwer: The Netherlands
6. Calvo T, Mayor G and Mesiar R (2002). Aggregation Operators: New Trends and Applications. Physica-Verlag: Heidelberg
7. Chen SM and Tan JM (1994). Handling multicriteria fuzzy decision-making problems based on vague set theory. Fuzzy Sets and Systems 67(2): 163-172
8. Chen TY, Wang HP and Lu YY (2011). A multicriteria group decision-making approach based on interval-valued intuitionistic fuzzy sets: A comparative perspective. Expert Systems with Applications 38(6): 7647-7658
9. Chiclana F, Herrera F and Herrera-Viedma E (2000). The ordered weighted geometric operator: Properties and application. In: Proceedings of the Eighth International Conference on Information Processing and Management of Uncertainty in Knowledge-based Systems, Madrid, Spain, pp 985-991
10. Choquet G (1953). Theory of capacities. Annales de l'Institut Fourier (Crenoble) 5(4): 131-295
11. Dyckhoff H and Pedrycz W (1984). Generalized means as model of compensative connectives. Fuzzy Sets Systems 14(2): 143-154
12. Grabisch M, Marichal JL,Mesiar R and Pap E (2009). Aggregation Functions. Cambridge University Press: Cambridge
13. Hong DJ and Choi CH (2000). Multicriteria fuzzy decision-making problems based on vague set theory. Fuzzy Sets and Systems 114(1): 103-113
14. Jabeur K and Martel JM (2004). A distance-based collective preorder integrating the relative importance of the group's members. Group Decision and Negotiation 13(4): 327-349
15. Li DF (2005). Multiattribute decision making models and methods using intuitionistic fuzzy sets. Journal of Computer and System Sciences 70(1): 73-85
16. Liu PD (2011). A weighted aggregation operators multi-Attribute group decision-making method based on interval-valued trapezoidal fuzzy numbers. Expert Systems with Applications 38(1): 1053-1060
17. 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
18. Liu PD and Jin F (2012a). Methods for aggregating intuitionistic uncertain linguistic variables and their application to group decision making. Information Sciences 205(1): 58-71
19. Liu PD and Jin F (2012b). A multi-Attribute group decision-making method based on weighted geometric aggregation operators of interval-valued trapezoidal fuzzy numbers. AppliedMathematical Modelling 36(6): 2498-2509
20. Liu PD and Su Y (2010). The multiple attribute decision making method based on the TFLHOWA operator. Computers and Mathematics with Applications 60(9): 2609-2615
21. Liu PD, Zhang X and Jin F (2012). A multi-Attribute group decision-making method based on interval-valued rapezoidal fuzzy numbers hybrid harmonic averaging operators. Journal of Intelligent & Fuzzy Systems 23(5): 159-168
22. Mesiar R, Kolesarova A, Calvo T and Komornikova M (2008). A review of aggregation functions. In: Bustince H, Herrera F and Montero J (eds). Fuzzy Sets and Their Extensions: Representation, Aggregation and Models. Springer: Heidelberg, pp 121-144
23. Tan CQ and Chen XH (2010). Intuitionistic fuzzy choquet integral operator for multi-criteria decision making. Expert Systems with Applications 37(1): 149-157
24. Torra V (2010). Hesitant fuzzy sets. International Journal of Intelligent Systems 25(6): 529-539
25. Torra V and Narukawa Y (2007). Modeling Decisions: Information Fusion and Aggregation Operators. Springer: Berlin
26. Torra V and Narukawa Y (2009). On hesitant fuzzy sets and decision. The 18th IEEE International Conference on Fuzzy Systems, Jeju Island, Korea, pp 1378-1382
27. Turksen IB and Zhong Z (1988). An approximate analogical reasoning approach based on similarity measures. IEEE Transactions on Systems, Man and Cybernetics 18(6): 1049-1056
28. Wang WQ and Xin XL (2005). Distance measure between intuitionistic fuzzy sets. Pattern Recognition Letters 26(1): 2063-2069
29. Wang TJ, Lu ZD and Li F (2002). Bidirectional approximate reasoning based on weighted similarity measures of vague sets. Journal of Computer Engineering and Science 24(1): 96-100
30. XiaMMand Xu ZS (2011). Hesitant fuzzy information aggregation in decision making. International Journal of Approximate Reasoning 52(3): 395-407
31. Xia MM, Xu ZS and Zhu B (2011). Geometric Bonferroni means with their application in multi-criteria decision making. Technical Report
32. Xia MM, Xu ZS and Zhu B (2012). Generalized intuitionistic fuzzy Bonferroni means. International Journal of Intelligent Systems 27(1): 23-47
33. Xia MM, Xu ZS and Na Chen (2013). Some hesitant fuzzy aggregation operators with their application in group decision making. Group Decision and Negotiation 22(2): 259-279
34. Xu ZS (2004a). EOWA and EOWG operators for aggregating linguistic labels based on linguistic reference relations. International Journal of Uncertainty, Fuzziness and Knowledge-based Systems 12(6): 791-810
35. Xu ZS (2004b). A method based on linguistic aggregation operators for group decision making with linguistic preference relations. Information Sciences 166(1-4): 19-30
36. Xu ZS (2010a). A method based on distance measure for intervalvalued intuitionistic fuzzy group decision making. Information Sciences 180(1): 181-190
37. Xu ZS (2010b). Choquet integrals of weighted intuitionistic fuzzy information. Information Sciences 180(5): 726-736
38. Xu ZS and Da QL (2002). The ordered weighted geometric averaging operators. International Journal of Intelligent Systems 17(7): 709-716
39. Xu ZS and Da QL (2003). An overview of operators for aggregating information. International Journal of Intelligent Systems 18(9): 953-969
40. Xu ZS and Yager RR (2010). Power-geometric operators and their use in group decision making. IEEE Transactions on Fuzzy Systems 18(1): 94-105
41. Xu ZS and Yager RR (2011). Intuitionistic fuzzy Bonferroni means. IEEE Transactions on Systems, Man, and Cybernetics-Part B 41(2): 568-578
42. 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
43. Yager RR (2001). The power average operator. IEEE Transactions on Systems, Man and Cybernetics 31(6): 724-731
44. Yager RR (2004a). OWA aggregation over a continuous interval argument with applications to decision making. IEEE Transactions on Systems, Man, and Cybernetics 34(5): 1952-1963
45. Yager RR (2004b). Choquet aggregation using order inducing variables. International Journal of Uncertainty, Fuzziness and Knowledge-based Systems 12(1): 69-88
46. Yager RR (2009). On generalized Bonferroni mean operators for multi-criteria aggregation. International Journal of Approximate Reasoning 50(8): 1279-1286
47. Yager RR and Kacprzyk J (1997). The Ordered Weighted Averaging Operator: Theory and Applications. Kluwer: Boston, M.A.
48. Yager RR and Xu ZS (2006). The continuous ordered weighted geometric operator and its application to decision making. Fuzzy Sets and Systems 157(10): 1393-1402
49. Yu DJ (2012). Hesitant fuzzy prioritized operators and their application in multi-criteria group decision making. African Journal of Business Management 6(33): 9370-9380
50. Yu DJ, Wu YY and Zhou W (2012). Generalized hesitant fuzzy Bonferroni mean and its application in multi-criteria group decision making. Journal of information & Computational Science 9(2): 267-274
51. Zadeh LA (1975). The concept of a linguistic variable and its application to approximate reasoning-I. Information Sciences 8(3): 199-249
52. Zhu B, Xia MM and Xu ZS (2012). Hesitant fuzzy geometric Bonferroni means. Information Sciences 205(1): 72-85