A method based on similarity measures for interactive group decision-making with intuitionistic fuzzy preference relations

Applied Mathematical Modelling

Volumn 37, Issue 10-11, 2013, Pages 6909-6917

  Zeng, Shouzhen ^a   Su, Weihua ^b   Sun, Lirong ^c  

^a ZHEJIANG WANLI UNIVERSITY   (China)

^b ZHEJIANG UNIVERSITY OF FINANCE AND ECONOMICS   (China)

^c ZHEJIANG GONGSHANG UNIVERSITY   (China)

Author keywords

Consensus; Group decision making problem; Interaction; Intuitionistic fuzzy preference relations; Similarity measures

Indexed keywords

CONSENSUS; GROUP DECISION-MAKING; INTERACTION; INTUITIONISTIC FUZZY PREFERENCE RELATIONS; SIMILARITY MEASURE;

ALGEBRA; DECISION MAKING;

FUZZY SETS;

EID: 84878168286     PISSN: 0307904X     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.apm.2013.01.044     Document Type: Article

References (52)

1. Atanassov K. Intuitionistic fuzzy sets. Fuzzy Sets Syst. 1986, 20:87-96.
2. Zadeh L.A. Fuzzy Sets Inf. Control 1965, 8:338-353.
3. Chen Z.P., Yang W. A new multiple attribute group decision making method in intuitionistic fuzzy setting. Appl. Math. Model. 2011, 35:4424-4437.
4. Jiang Y.C., Tang Y., Chen Q.M. An adjustable approach to intuitionistic fuzzy soft sets based decision making. Appl. Math. Model. 2011, 35:2584.
5. Li D.F. Linear programming method for MADM with interval-valued intuitionistic fuzzy sets. Expert Syst. Appl. 2010, 37:5939-5945.
6. Wei G.W. Maximizing deviation method for multiple attribute decision making in intuitionistic fuzzy setting. Knowledge-Based Syst. 2008, 21:833-836.
7. Wei G.W. Gray relational analysis method for intuitionistic fuzzy multiple attribute decision making. Exp. Syst. Appl. 2011, 38:11671-11677.
8. Ye J. Fuzzy decision-making method based on the weighted correlation coefficient under intuitionistic fuzzy environment. European Journal of Operational Research 2010, 205:202-204.
9. Ye J. Multicriteria fuzzy decision-making method using entropy weights-based correlation coefficients of interval-valued intuitionistic fuzzy sets. Appl. Math. Model. 2010, 34:3864-3870.
10. Xu Z.S. Models for multiple attribute decision making with intuitionistic fuzzy information. Int. J. Uncertainty Fuzziness Knowl.-Based Syst. 2007, 15:285-297.
11. Xu Z.S. Intuitionistic fuzzy aggregation operators. IEEE Trans. Fuzzy Syst. 2007, 15:1179-1187.
12. Xu Z.S. Dynamic intuitionistic fuzzy multi-attribute decision making. Int. J. Approx. Reasoning 2009, 51:162-164.
13. Xu Z.S. A deviation-based approach to intuitionistic fuzzy multiple attribute group decision making. Group Decision Negotiation 2010, 19:57-76.
14. Xu Z.S. Choquet integrals of weighted intuitionistic fuzzy information. Inform. Sci. 2010, 180:726-736.
15. Xu Z.S., Xia M.M. Induced generalized intuitionistic fuzzy operators. Knowl.- Based Syst. 2011, 24:197-209.
16. Xu Z.S., Yager R.R. Some geometric aggregation operators based on intuitionistic fuzzy sets. Int. J. General Syst. 2006, 35:417-433.
17. Zeng S.Z., Su W.H. Intuitionistic fuzzy ordered weighted distance operator. Knowl.-Based Syst. 2011, 24:1224-1232.
18. Szmidt E., Kacprzyk J. Distances between intuitionistic fuzzy sets. Fuzzy Sets Syst. 2000, 114:505-518.
19. Li D.F., Cheng C.T. New similarity measures of intuitionistic fuzzy sets and application to pattern recognitions. Pattern Recognit. Lett. 2002, 23:221-225.
20. Liang Z.Z., Shi P.F., sets Similarity measures on intuitionistic fuzzy Pattern Recognit. Lett. 2003, 24:2687-2693.
21. Mitchell H.B. On the Dengfeng-Chuntian similarity measure and its application to pattern recognition. Pattern Recognit. Lett. 2003, 24:3101-3104.
22. 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.
23. Szmidt E., Kacprzyk J. A similarity measure for intuitionistic fuzzy sets and its application in supporting medical diagnostic reasoning. Lect. Notes Artif. Intell. 2004, 3070:388-393.
24. Xu Z.S., Yager R.R. Intuitionistic and interval-valued intutionistic fuzzy preference relations and their measures of similarity for the evaluation of agreement within a group. Fuzzy Optim. Decision Making 2009, 8:123-139.
25. Hwang C.L., Yoon K. Multiple Attribute Decision Making: Methods Applications 1981, Springer, Berlin.
26. Herrera-Viedma E., Chiclana F., Herrera F., Alonso S. A group decision-making model with incomplete fuzzy preference relations based on additive consistency. IEEE Trans. Syst. Man Cybern.-Part B 2007, 1:175-189.
27. Deschrijver G., Kerre E.E. On the composition of intuitionistic fuzzy relations. Fuzzy Sets Syst. 2003, 136:333-361.
28. Chen H.Y., Zhou L.G., Han B. On compatibility of uncertain additive linguistic preference relations and its application in the group decision making. Knowl.-Based Syst. 2011, 24:816-823.
29. Zeng S.Z., Su W.H. Linguistic induced generalized aggregation distance operators and their application to decision making. Econ. Comput. Econ. Cybern. Stud. Res. 2012, 46:155-172.
30. Merigó J.M., Casanovas M., Martínez L. Linguistic aggregation operators for linguistic decision making based on the Dempster-Shafer theory of evidence. Int. J. Uncertainty Fuzziness Knowl.-Based Syst. 2010, 18:287-304.
31. Herrera F., Herrera-Viedma E., Verdegay J.L. Direct approach processes in group decision making using linguistic OWA operators. Fuzzy Sets and Systems 1996, 79:175-190.
32. Wei G.W. A method for multiple attribute group decision making based on the ET-WG and ET-OWG operators with 2-tuple linguistic information. Expert Syst. Appl. 2010, 37:7895-7900.
33. Xu Y.J., Da Q.L. A method for multiple attribute decision making with incomplete weight information under uncertain linguistic environment. Knowl.-Based Syst. 2008, 21:837-841.
34. Y.J. Xu, J.M. Merigó, H.M. Wang, Linguistic power aggregation operators and their application to multiple attribute group decision making, Applied Mathematical Modelling, 36(2012) 5427-5444.
35. Xu Z.S. EOWA and EOWG operators for aggregating linguistic labels based on linguistic preference relations. Int. J. Uncertainty Fuzziness Knowl.-Based Syst. 2004, 12:791-810.
36. Xu Z.S. A method based on linguistic aggregation operators for group decision making with linguistic preference relations. Inform. Sci. 2004, 166:19-30.
37. Szmidt E., Kacprzyk J. Using intuitionistic fuzzy sets in group decision making. Control Cybern. 2002, 31:1037-1053.
38. Xu Z.S. Intuitionistic preference relations and their application in group decision making. Inform. Sci. 2007, 177:2363-2379.
39. Xu Z.S. A method for estimating criteria weights from intuitionistic preference relations. Fuzzy Inform. Eng. 2009, 1:79-89.
40. Gong Z.W. Least-square method to priority of the fuzzy preference relations with incomplete information. Int. J. Approx. Reasoning 2008, 47:258-264.
41. Gong Z.W., Li L.S., Cao J., Zhou F.X. On additive consistent properties of the intuitionistic fuzzy preference relation. Int. J. Inform. Technol. Decision Making 2010, 9:1009-1025.
42. Liu P.D., Su Y. The multiple-attribute decision making method based on the TFLHOWA operator. Comput. Math. Appl. 2010, 60:2609-2615.
43. Merigó J.M., Gil-Lafuente A.M. New decision making techniques and their application in the selection of financial products. Inform. Sci. 2010, 180:2085-2094.
44. Merigó J.M., Wei G.W. Probabilistic aggregation operators and their application in uncertain multi-person decision making. Technol. Econ. Develop. Econ. 2011, 17:335-351.
45. Cao Q.W., Wu J. The extended COWG operators and their application to multiple attributive group decision making problems with interval numbers. Appl. Math. Model. 2011, 35:2075-2086.
46. Xu Z.S., Xia M. Distance and similarity measures for hesitant fuzzy sets. Inform. Sci. 2011, 181:2128-2138.
47. Zhou L.G., Chen H.Y. Continuous generalized OWA operator and its application to decision making. Fuzzy Sets Syst. 2011, 168:18-34.
48. Chen S.M., Tan J.M. Handling multi-criteria fuzzy decision making problems based on vague set theory. Fuzzy Sets Syst. 1994, 67:163-172.
49. Hong D.H., Choi C.H. Multicriteria fuzzy decision-making problems based on vague set theory. Fuzzy Sets Syst. 2000, 114:103-113.
50. Liu H.W., Wang G.J. Multi-attribute decision making methods based on intuitionistic fuzzy sets. Eur. J. Oper. Res. 2007, 179:220-233.
51. Szmidt E., Kacprzyk J. A new approach to ranking alternatives expressed via intuitionistic fuzzy sets. Computational Intelligence in Decision and Control 2008, 265-270. World Scientific, Singapore. D. Ruan (Ed.).
52. Szmidt E., Kacprzyk J. Amount of information and its reliability in the ranking of Atanassov's intuitionistic fuzzy alternatives. SCI 2009, vol. 222:7-19. Springer-Verlag, Berlin Heidelberg. E. Rakus-Andersson (Ed.).