On multi-granular fuzzy linguistic modeling in group decision making problems: A systematic review and future trends

Knowledge-Based Systems

Volumn 74, Issue , 2015, Pages 49-60

  Morente Molinera, J A ^a   Perez I J ^b   Urena M R ^a   Herrera Viedma, E ^a  

^a UNIVERSITY OF GRANADA   (Spain)

^b UNIVERSITY OF CÁDIZ   (Spain)

Author keywords

Computing with words; Fuzzy linguistic modeling; Group decision making; Linguistic variable; Multi granular linguistic information

Indexed keywords

BEHAVIORAL RESEARCH; COMPUTATIONAL LINGUISTICS; DECISION MAKING;

COMPUTING WITH WORD (CWW); FUZZY LINGUISTIC MODELING; GROUP DECISION MAKING; LINGUISTIC VARIABLE; MULTI-GRANULAR LINGUISTIC INFORMATION;

LINGUISTICS;

EID: 84922633973     PISSN: 09507051     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.knosys.2014.11.001     Document Type: Article

References (64)

1. S. Alonso, F. Chiclana, F. Herrera, E. Herrera-Viedma, J. Alcalá-Fdez, C. Porcel, A consistency-based procedure to estimate missing pairwise preference values, Int. J. Intell. Syst. 23 (2008) 155-175.
2. S. Alonso, I.J. Pérez, F.J. Cabrerizo, E. Herrera-Viedma, A linguistic consensus model for web 2.0 communities, Appl. Soft Comput. 13 (2012) 149-157.
3. P. Brereton, B.A. Kitchenham, D. Budgen, M. Turner, M. Khalil, Lessons from applying the systematic literature review process within the software engineering domain, J. Syst. Softw. 80 (2007) 571-583.
4. F.J. Cabrerizo, S. Alonso, E. Herrera-Viedma, A consensus model for group decision making problems with unbalanced fuzzy linguistic information, Int. J. Inform. Technol. Decis. Mak. 8 (2009) 109-131.
5. F.J. Cabrerizo, E. Herrera-Viedma, W. Pedrycz, A method based on PSO and granular computing of linguistic information to solve group decision making problems defined in heterogeneous contexts, Eur. J. Oper. Res. 230 (2013) 624-633.
6. C.T. Chen, W.S. Tai, Measuring the intellectual capital performance based on 2-tuple fuzzy linguistic information, in: The 10th Annual Meeting of APDSI, Asia Pacific Region of Decision Sciences Institute, 2005.
7. L.H. Chen, H.W. Lu, An approximate approach for ranking fuzzy numbers based on left and right dominance, Comput. Math. Appl. 41 (2001) 1589-1602.
8. S.M. Chen, L.W. Lee, Fuzzy multiple attributes group decision-making based on the ranking values and the arithmetic operations of interval type-2 fuzzy sets, Expert Syst. Appl. 37 (2010) 824-833.
9. Z. Chen, D. Ben-Arieh, On the fusion of multi-granularity linguistic label sets in group decision making, Comput. Ind. Eng. 51 (2006) 526-541.
10. F. Chiclana, E. Herrera-Viedma, S. Alonso, F. Herrera, Cardinal consistency of reciprocal preference relations: a characterization of multiplicative transitivity, IEEE Trans. Fuzzy Syst. 17 (2009) 14-23.
11. F. Chiclana, E. Herrera-Viedma, F. Herrera, S. Alonso, Some induced ordered weighted averaging operators and their use for solving group decision-making problems based on fuzzy preference relations, Eur. J. Oper. Res. 182 (2007) 383-399.
12. D. Dubois, H. Prade, Ranking fuzzy numbers in the setting of possibility theory, Inform. Sci. 30 (1983) 183-224.
13. M. Espinilla, J. Liu, L. Martínez, An extended hierarchical linguistic model for decision-making problems, Comput. Intell. 27 (2011) 489-512.
14. S. Gramajo, L. Martínez, A linguistic decision support model for QoS priorities in networking, Knowl.-Based Syst. 32 (2012) 65-75.
15. F. Herrera, S. Alonso, F. Chiclana, E. Herrera-Viedma, Computing with words in decision making: foundations, trends and prospects, Fuzzy Optimiz. Decis. Mak. 8 (2009) 337-364.
16. F. Herrera, E. Herrera-Viedma, Linguistic decision analysis: steps for solving decision problems under linguistic information, Fuzzy Sets Syst. 115 (2000) 67-82.
17. F. Herrera, E. Herrera-Viedma, L. Martínez, A fusion approach for managing multi-granularity linguistic term sets in decision making, Fuzzy Sets Syst. 114 (2000) 43-58.
18. F. Herrera, L. Martínez, A 2-tuple fuzzy linguistic representation model for computing with words, IEEE Trans. Fuzzy Syst. 8 (2000) 746-752.
19. F. Herrera, L. Martínez, A model based on linguistic 2-tuples for dealing with multigranular hierarchical linguistic contexts in multi-expert decisionmaking, IEEE Trans. Syst., Man, Cybernet., Part B: Cybernet. 31 (2001) 227-234.
20. E. Herrera-Viedma, F. Herrera, L. Martínez, J.C. Herrera, A.G. López-Herrera, Incorporating filtering techniques in a fuzzy linguistic multi-agent model for information gathering on the web, Fuzzy Sets Syst. 148 (2004) 61-83.
21. E. Herrera-Viedma, A.G. López-Herrera, A model of an information retrieval system with unbalanced fuzzy linguistic information, Int. J. Intell. Syst. 22 (2007) 1197-1214.
22. E. Herrera-Viedma, G. Pasi, A.G. Lopez-Herrera, C. Porcel, Evaluating the information quality of web sites: a methodology based on fuzzy computing with words, J. Am. Soc. Inform. Sci. Technol. 57 (2006) 538-549.
23. E. Herrera-Viedma, E. Peis, J.M. Morales-del-Castillo, S. Alonso, K. Anaya, A fuzzy linguistic model to evaluate the quality of web sites that store XML documents, Int. J. Approx. Reason. 46 (2007) 226-253.
24. V.N. Huynh, Y. Nakamori, A satisfactory-oriented approach to multiexpert decision-making with linguistic assessments, IEEE Trans. Syst., Man, Cybernet., Part B: Cybernet. 35 (2005) 184-196.
25. Y.P. Jiang, Z.P. Fan, J. Ma, A method for group decision making with multigranularity linguistic assessment information, Inform. Sci. 178 (2008) 1098-1109.
26. Q. Liang, J.M. Mendel, Interval type-2 fuzzy logic systems: theory and design, IEEE Trans. Fuzzy Syst. 8 (2000) 535-550.
27. L. Martínez, M.J. Barranco, L.G. Pérez, M. Espinilla, A knowledge based recommender system with multigranular linguistic information, Int. J. Comput. Intell. Syst. 1 (2008) 225-236.
28. L. Martínez, F. Herrera, An overview on the 2-tuple linguistic model for computing with words in decision making: extensions, applications and challenges, Inform. Sci. 207 (2012) 1-18.
29. M. Mas, M. Monserrat, J. Torrens, Kernel aggregation functions on finite scales. Constructions from their marginals, Fuzzy Sets Syst. 241 (2014) 27-40.
30. S. Massanet, J.V. Riera, J. Torrens, E. Herrera-Viedma, A new linguistic computational model based on discrete fuzzy numbers for computing with words, Inform. Sci. 258 (2014) 277-290.
31. F. Mata, L. Martínez, E. Herrera-Viedma, An adaptive consensus support model for group decision-making problems in a multigranular fuzzy linguistic context, IEEE Trans. Fuzzy Syst. 17 (2009) 279-290.
32. J.M. Mendel, R.B. John, Type-2 fuzzy sets made simple, IEEE Trans. Fuzzy Syst. 10 (2002) 117-127.
33. M. Mizumoto, K. Tanaka, Some properties of fuzzy sets of type 2, Inform. Contr. 31 (1976) 312-340.
34. S. Orlovsky, Decision-making with a fuzzy preference relation, Fuzzy Sets Syst. 1 (1978) 155-167.
35. T. Ozen, J.M. Garibaldi, Effect of type-2 fuzzy membership function shape on modelling variation in human decision making, in: Proceedings, 2004 IEEE International Conference on Fuzzy Systems, 2004, IEEE, 2004, pp. 971-976.
36. Z. Pei, D. Ruan, J. Liu, Y. Xu, A linguistic aggregation operator with three kinds of weights for nuclear safeguards evaluation, Knowl.-Based Syst. 28 (2012) 19-26.
37. D.H. Peng, T.D. Wang, C.Y. Gao, H. Wang, Multigranular uncertain linguistic prioritized aggregation operators and their application to multiple criteria group decision making, J. Appl. Math. 2013 (2013).
38. I.J. Pérez, F.J. Cabrerizo, S. Alonso, E. Herrera-Viedma, A new consensus model for group decision making problems with non-homogeneous experts, IEEE Trans. Syst., Man, Cybernet.: Syst. 44 (2013) 494-498.
39. I.J. Pérez, F.J. Cabrerizo, E. Herrera-Viedma, A mobile decision support system for dynamic group decision-making problems, IEEE Trans. Syst., Man Cybernet., Part A: Syst. Hum. 40 (2010) 1244-1256.
40. C. Porcel, A. Tejeda-Lorente, M.A. Martínez, E. Herrera-Viedma, A hybrid recommender system for the selective dissemination of research resources in a technology transfer office, Inform. Sci. 184 (2012) 1-19.
41. R.M. Rodríguez, L. Martínez, F. Herrera, Hesitant fuzzy linguistic term sets for decision making, IEEE Trans. Fuzzy Syst. 20 (2012) 109-119.
42. L. Roselló, M. Sánchez, N. Agell, F. Prats, F.A. Mazaira, Using consensus and distances between generalized multi-attribute linguistic assessments for group decision-making, Inform. Fusion 32 (2011) 65-75.
43. J. Serrano-Guerrero, E. Herrera-Viedma, J.A. Olivas, A. Cerezo, F.P. Romero, A google wave-based fuzzy recommender system to disseminate information in university digital libraries 2.0, Inform. Sci. 181 (2011) 1503-1516.
44. A.R. de Soto, A hierarchical model of a linguistic variable, Inform. Sci. 181 (2011) 4394-4408.
45. J. Tapia García, M. Del Moral, M. Martínez, E. Herrera-Viedma, A consensus model for group decision making problems with linguistic interval fuzzy preference relations, Expert Syst. Appl. 39 (2012) 10022-10030.
46. Á. Tejeda-Lorente, C. Porcel, E. Peis, R. Sanz, E. Herrera-Viedma, A quality based recommender system to disseminate information in a university digital library, Inform. Sci. 261 (2014) 52-69.
47. V. Torra, Hesitant fuzzy sets, Int. J. Intell. Syst. 25 (2010) 529-539.
48. V. Torra, Y. Narukawa, On hesitant fuzzy sets and decision, in: IEEE International Conference on Fuzzy Systems, 2009, FUZZ-IEEE 2009, IEEE, 2009, pp. 1378-1382.
49. J. Vicente-Riera, J. Torrens, Aggregation of subjective evaluations based on discrete fuzzy numbers, Fuzzy Sets Syst. 191 (2012) 21-40.
50. W. Voxman, Canonical representations of discrete fuzzy numbers, Fuzzy Sets Syst. 118 (2001) 457-466.
51. G. Wei, Hesitant fuzzy prioritized operators and their application to multiple attribute decision making, Knowl.-Based Syst. 31 (2012) 176-182.
52. G.W. Wei, Extension of TOPSIS method for 2-tuple linguistic multiple attribute group decision making with incomplete weight information, Knowl. Inform. Syst. 25 (2010) 623-634.
53. M. Xia, Z. Xu, Hesitant fuzzy information aggregation in decision making, Int. J. Approx. Reason. 52 (2011) 395-407.
54. Z. Xu, Uncertain linguistic aggregation operators based approach to multiple attribute group decision making under uncertain linguistic environment, Inform. Sci. 168 (2004) 171-184.
55. Z. Xu, An approach based on the uncertain LOWG and induced uncertain LOWG operators to group decision making with uncertain multiplicative linguistic preference relations, Decis. Support Syst. 41 (2006) 488-499.
56. Z. Xu, An interactive approach to multiple attribute group decision making with multigranular uncertain linguistic information, Group Decis. Negot. 18 (2009) 119-145.
57. R.R. Yager, Fuzzy subsets of type II in decisions, Cybernet. Syst. 10 (1980) 137-159.
58. R.R. Yager, On ordered weighted averaging aggregation operators in multicriteria decision making, IEEE Trans. Syst., Man Cybernet. 18 (1988) 183-190.
59. R.R. Yager, Quantifier guided aggregation using OWA operators, Int. J. Intell. Syst. 11 (1996) 49-73.
60. L.A. Zadeh, The concept of a linguistic variable and its application to approximate reasoning-I, Inform. Sci. 8 (1975) 199-249.
61. L.A. Zadeh, The concept of a linguistic variable and its application to approximate reasoning-II, Inform. Sci. 8 (1975) 301-357.
62. L.A. Zadeh, The concept of a linguistic variable and its application to approximate reasoning-III, Inform. Sci. 9 (1975) 43-80.
63. H. Zhang, The multiattribute group decision making method based on aggregation operators with interval-valued 2-tuple linguistic information, Math. Comput. Model. 56 (2012) 27-35.
64. Z. Zhang, C. Guo, A method for multi-granularity uncertain linguistic group decision making with incomplete weight information, Knowl.-Based Syst. 26 (2012) 111-119.