Consistency measures for hesitant fuzzy linguistic preference relations

IEEE Transactions on Fuzzy Systems

Volumn 22, Issue 1, 2014, Pages 35-45

  Zhu, Bin ^a   Xu, Zeshui ^b  

^a Southeast University   (China)

^b PLA UNIVERSITY OF SCIENCE AND TECHNOLOGY   (China)

Author keywords

Consistency index; consistency measures; hesitant fuzzy linguistic preference relation (HFLPR); hesitant fuzzy linguistic term set (HFLTS)

Indexed keywords

EID: 84894218190     PISSN: 10636706     EISSN: None     Source Type: Journal    
DOI: 10.1109/TFUZZ.2013.2245136     Document Type: Article

References (32)

1. V. Torra, "Hesitant fuzzy sets, " Int. J. Intell. Syst., vol. 25, pp. 529-539, 2010.
2. R. M. Rodriguez, L. Martinez, and F. Herrera, "Hesitant fuzzy linguistic term sets for decision making, " IEEE Trans. Fuzzy Syst., vol. 20, no. 1, pp. 109-119, Feb. 2012.
3. A. Hadi-Vencheh and M. Mirjaberi, "Seclusion-factor method to solve fuzzy-multiple criteria decision-making problems, " IEEE Trans. Fuzzy Syst., vol. 19, no. 2, pp. 201-209, Apr. 2011.
4. T. L. Saaty, The Analytic Hierarchy Process. New York, NY, USA: McGraw-Hill, 1980.
5. F. Chiclana, F. Herrera, and E. Herrera-Viedma, "Integrating three representation models in fuzzy multipurpose decision making based on fuzzy preference relations, " Fuzzy Sets Syst., vol. 97, no. 1, pp. 33-48, 1998. (Pubitemid 128654877)
6. F. Chiclana, E. Herrera-Viedma, S. Alonso, and F. Herrera, "Cardinal consistency of reciprocal preference relations: A characterization of multiplicative transitivity, " IEEE Trans. Fuzzy Syst., vol. 17, no. 1, pp. 14-23, Feb. 2009.
7. M. Xia, Z. Xu, and H. Liao, "Preference relations based on intuitionis-tic multiplicative information, " IEEE Trans. Fuzzy Syst., vol. 21, no. 1, pp. 113-133, Feb. 2013.
8. Z. R Fan and X. Chen, "Consensus measures and adjusting inconsistency of linguistic preference relations in group decision making, " Fuzzy Syst. Knowl. Discovery, vol. 3613, pp. 475-475, 2005.
9. E. Herrera-Viedma, L. Martinez, F Mata, and F Chiclana, "A consensus support system model for group decision-making problems with multi-granular linguistic preference relations, " IEEE Trans. Fuzzy Syst., vol. 13, no. 5, pp. 644-658, Oct. 2005. (Pubitemid 41555591)
10. E. Herrera-Viedma, F. Herrera, F. Chiclana, and M. Luque, "Some issues on consistency of fuzzy preference relations, " Eur. J. Oper. Res., vol. 154, no. 1, pp. 98-109, 2004.
11. J. Pelaez and M. Lamata, "A new measure of consistency for positive reciprocal matrices, " Comput. Math. Appl., vol. 46, no. 12, pp. 1839-1845, 2003.
12. V Cutelloand J. Montero, "Fuzzy rationality measures, " Fuzzy Sets Syst., vol. 62, no. 1, pp. 39-54, 1994.
13. T. L. Saaty, "A scaling method for priorities in hierarchical structures, " J. Math. Psychol., vol. 15, no. 3, pp. 234-281, 1977.
14. G. Crawford and C. Williams, "A note on the analysis of subjective judgment matrices, " J. Math. Psychol., vol. 29, no. 4, pp. 387-405, 1985.
15. H. Monsuur, "An intrinsic consistency threshold for reciprocal matrices, " Eur. J. Oper. Res., vol. 96, no. 2, pp. 387-391, 1997. (Pubitemid 127415899)
16. M. Delgado, J. L. Verdegay, and M. Vila, "On aggregation operations of linguistic labels, " Int. J. Intell. Syst., vol. 8, no. 3, pp. 351-370, 2007.
17. Y Dong, Y Xu, and S. Yu, "Linguistic multiperson decision making based on the use of multiple preference relations, " Fuzzy Sets Syst., vol. 160, no. 5, pp. 603-623, 2009.
18. F. Herrera, E. Herrera-Viedma, and J. L. Verdegay, "A sequential selection process in group decision making with a linguistic assessment approach, " Inf. Sci., vol. 85, no. 4, pp. 223-239, 1995.
19. J. Kacprzyk, "Group decision making with a fuzzy linguistic majority, " Fuzzy Sets Syst., vol. 18, no. 2, pp. 105-118, 1986.
20. Y Dong, Y Xu, and H. Li, "On consistency measures of linguistic preference relations, " Eur. J. Oper. Res., vol. 189, no. 2, pp. 430-444, 2008. (Pubitemid 351288512)
21. R. M. Tong and P. P. Bonissone, "A linguistic approach to decisionmaking with fuzzy sets, " IEEE Trans. Syst., Man, Cybern., vol. SMC-10, no. 11, pp. 716-723, Nov. 1980. (Pubitemid 11181348)
22. L. A. Zadeh, "The concept of a linguistic variable and its application to approximate reasoning-I, " Inf. Sci., vol. 8, no. 3, pp. 199-249, 1975.
23. Z. Xu, "Uncertain linguistic aggregation operators based approach to multiple attribute group decision making under uncertain linguistic environment, " Inf. Sci., vol. 168, no. 1, pp. 171-184, 2004.
24. Z. Xu, "Deviation measures of linguistic preference relations in group decision making, " Omega, vol. 33, no. 3, pp. 249-254, 2005. (Pubitemid 40030618)
25. Z. Xu, "EOWA and EOWG operators for aggregating linguistic labels based on linguistic preference relations, " Int. J. Uncertainty, Fuzziness Knowl.-Based Syst., vol. 12, no. 6, pp. 791-810, 2004. (Pubitemid 40493397)
26. M. Xia and Z. Xu, "Hesitant fuzzy information aggregation in decision making, " Int. J. Approx. Reason., vol. 52, no. 3, pp. 395-407, 2011.
27. Z. Xu and M. Xia, "Distance and similarity measures for hesitant fuzzy sets, " Inf. Sci., vol. 181, no. 11, pp. 2128-2138, 2011.
28. P. de Jong, "A statistical approach to Saaty's scaling method for priorities, " J. Math. Psychol., vol. 28, no. 4, pp. 467-478, 1984.
29. Z. Xu and X. Cai, "Group consensus algorithms based on preference relations, " Inf. Sci., vol. 181, no. 1, pp. 150-162, 2011.
30. S. Alonso, E. Herrera-Viedma, F. Chiclana, and F. Herrera, "A web based consensus support system for group decision making problems and incomplete preferences, " Inf. Sci., vol. 180, no. 23, pp. 4477-4495, 2010.
31. C. Fu and S. L. Yang, "The group consensus based evidential reasoning approach for multiple attributive group decision analysis, " Eur. J. Oper. Res., vol. 206, no. 3, pp. 601-608, 2010.
32. E. Herrera-Viedma, S. Alonso, F. Chiclana, and F. Herrera, "A consensus model for group decision making with incomplete fuzzy preference relations, " IEEE Trans.Fuzzy Syst., vol. 15, no. 5, pp. 863-877, Oct. 2007. (Pubitemid 47577994)