Consensus reaching models of linguistic preference relations based on distance functions

Soft Computing

Volumn 16, Issue 4, 2012, Pages 577-589

  Wu, Zhibin ^a   Xu, Jiuping ^a  

^a SICHUAN UNIVERSITY   (China)

Author keywords

Consensus model; Group decision making; Linguistic 2 tuples; Linguistic preference relations; Linguistic variables

Indexed keywords

DISTANCE FUNCTIONS; GROUP DECISION MAKING; LINGUISTIC INFORMATION; LINGUISTIC PREFERENCE RELATION; LINGUISTIC PREFERENCE RELATIONS; LINGUISTIC VARIABLES; MAXIMUM DEGREE; PREFERENCE RELATION; SELECTION PROCESS; THEORETICAL RESULT;

DECISION MAKING;

LINGUISTICS;

EID: 84857998534     PISSN: 14327643     EISSN: 14337479     Source Type: Journal    
DOI: 10.1007/s00500-011-0756-6     Document Type: Article

References (37)

1. Alonso S, Herrera-Viedma E, Chiclana F, Herrera F (2010) A web based consensus support system for group decision making problems and incomplete preferences. Inform Sci 180: 4477-4495.
2. Bachman G, Narici L (2000) Functional analysis. Courier Dover Publications, Mineola.
3. Ben-Arieh D, Chen ZF (2006) Linguistic-labels aggregation and consensus measure for autocratic decision making using group recommendations. IEEE Trans Syst Man Cybern A Syst Humans 36: 558-568.
4. Bordogna G, Fedrizzi M, Pasi G (1997) A linguistic modeling of consensus in group decision making based on OWA operators. IEEE Trans Syst Man Cybern A Syst Humans 27: 126-133.
5. Cabrerizo FJ, Alonso S, Herrera-Viedma E (2009) A consensus model for group decision making problems with unbalanced fuzzy linguistic information. Int J Inform Technol Decision Making 8: 109-131.
6. Cabrerizo FJ, Moreno JM, Pérez IJ, Herrera-Viedma E (2010a) Analyzing consensus approaches in fuzzy group decision making: advantages and drawbacks. Soft Comput 14: 451-463.
7. Cabrerizo FJ, Pérez IJ, Herrera-Viedma E (2010b) Managing the consensus in group decision making in an unbalanced fuzzy linguistic context with incomplete information. Knowl Based Syst 23: 169-181.
8. Chiclana F, Mata F, Martínez L, Herrera-Viedma E, Alonso S (2008) Integration of a consistency control module within a consensus decision making model. Int J Uncertainty Fuzz Knowl Based Syst 16: 35-53.
9. de Andrés R, García-Lapresta JL, Martínez L (2010) A multi-granular linguistic model for management decision-making in performance appraisal. Soft Comput 14: 21-34.
10. Dong YC, Xu YF, Li HY (2008) On consistency measures of linguistic preference relations. Eur J Oper Res 189: 430-444.
11. Dong YC, Xu YF, Yu S (2009) Linguistic multiperson decision making based on the use of multiple preference relations. Fuzzy Sets Syst 160: 603-623.
12. Dong YC, Xu YF, Li HY, Feng B (2010a) The OWA-based consensus operator under linguistic representation models using position indexes. Eur J Oper Res 203: 455-463.
13. Dong YC, Zhang GQ, Hong WH, Xu YF (2010b) Consensus models for AHP group decision making under row geometric mean prioritization method. Decis Support Syst 49: 281-289.
14. Halliwell J, Shen Q (2009) Linguistic probabilities: theory and application. Soft Comput 13: 169-183.
15. Herrera F, Herrera-Viedma E (2000) Linguistic decision analysis: steps for solving decision problems under linguistic information. Fuzzy Sets Syst 115: 67-82.
16. Herrera F, Martínez L (2000) A 2-tuple fuzzy linguistic representation model for computing with words. IEEE Trans Fuzzy Syst 8: 746-752.
17. Herrera F, Herrera-Viedma E, Martínez L (2008) A fuzzy linguistic methodology to deal with unbalanced linguistic term sets. IEEE Trans Fuzzy Syst 16: 354-370.
18. Herrera F, Alonso S, Chiclana F, Herrera-Viedma E (2009) Computing with words in decision making: foundations, trends and prospects. Fuzzy Optim Decision Making 8: 337-364.
19. Herrera-Viedma E, Alonso S, Chiclana F, Herrera F (2007) A consensus model for group decision making with incomplete fuzzy preference relations. IEEE Trans Fuzzy Syst 15: 863-877.
20. Herrera-Viedma E, Martínez L, Mata F, Chiclana F (2005) A consensus support systems model for group decision making problems with multigranular linguistic preference relations. IEEE Trans Fuzzy Syst 13: 644-658.
21. Kacprzyk J, Zadrożny S (2010) Soft computing and Web intelligence for supporting consensus reaching. Soft Comput 14: 833-846.
22. Kacprzyk J, Fedrizzi M, Nurmi H (1992) Group decision making and consensus under fuzzy preferences and fuzzy majority. Fuzzy Sets Syst 49: 21-31.
23. Kacprzyk J, Zadrożny S, Raś ZW (2010) How to support consensus reaching using action rules: a novel approach. Int J Uncertainty Fuzziness Knowl Based Syst 18: 451-470.
24. Levrat E, Voisin A, Bombardier S, Bremont J (1997) Subjective evaluation of car seat comfort with fuzzy techniques. Int J Intell Syst 12: 891-913.
25. Li DF (2009) Multiattribute group decision making method using extended linguistic variables. Int J Uncertainty Fuzziness Knowl Based Syst 17: 793-806.
26. Lu J, Zhang GQ, Ruan D (2008) Intelligent multi-criteria fuzzy group decision-making for situation assessments. Soft Comput 12: 289-299.
27. Marimin M, Umano M, Hatono I, Tamura H (1998) Linguistic labels for expressing fuzzy preference relations in fuzzy group decision making. IEEE Trans Syst Man Cybern B Cybern 28: 205-218.
28. Marimin M, Umano M, Hatono I, Tamura H (2002) Hierarchical semi-numeric method for pairwise fuzzy group decision making. IEEE Trans Syst Man Cybern B Cybern 32: 691-700.
29. Martínez L, Ruan D, Herrera F (2010) Computing with words in decision support systems: an overview on models and applications. Int J Comput Intell Syst 3: 382-395.
30. Mata F, Martínez L, Herrera-Viedma E (2009) An adaptive consensus support model for group decision-making problems in a multigranular fuzzy linguistic context. IEEE Trans Fuzzy Syst 17: 279-290.
31. Moreno JM, del Castillo JMM, Porcel C, Herrera-Viedma E (2010) A quality evaluation methodology for health-related websites based on a 2-tuple fuzzy linguistic approach. Soft Comput 14: 887-897.
32. Saaty TL (1980) The analytical hierarchy process. McGraw-Hill, New York.
33. Saaty TL (1994) A ratio scale metric and compatibility of ratio scales: the possibility of Arrow's impossibility theorem. Appl Math Lett 7: 51-57.
34. Xu ZS (2005) Deviation measures of linguistic preference relations in group decision making. Omega 33: 249-254.
35. Xu ZS (2009) An automatic approach to reaching consensus in multiple attribute group decision making. Comp Ind Eng 56: 1369-1374.
36. Xu ZS, Cai XQ (2011) Group consensus algorithms based on preference relations. Inform Sci 181: 150-162.
37. Zadeh LA (1975) The concept of a linguistic variable and its applications to approximate reasoning, Part I. Inform Sci 8: 199-249.