A linguistic approach to time series modeling with the help of F-transform

Fuzzy Sets and Systems

Volumn 180, Issue 1, 2011, Pages 164-184

  Štěpnička, Martin ^a   Dvořák, Antonín ^a   Pavliska, Viktor ^a   Vavříčková, Lenka ^a  

^a UNIVERSITY OF OSTRAVA   (Czech Republic)

Author keywords

Forecasting; Fuzzy transform; Linguistic modeling; Perception based logical deduction; Time series

Indexed keywords

FUZZY TRANSFORM METHOD; FUZZY TRANSFORMS; FUZZY/LINGUISTIC IF-THEN RULES; LINGUISTIC APPROACH; LINGUISTIC EXPRESSIONS; LINGUISTIC MODELING; MODELING AND FORECASTING; PERCEPTION-BASED LOGICAL DEDUCTION; SIGNIFICANT DETERIORATIONS; TIME SERIES MODELING; UNDERSTANDABILITY;

FUZZY SYSTEMS; TIME SERIES;

LINGUISTICS;

EID: 79960633932     PISSN: 01650114     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.fss.2011.02.017     Document Type: Article

References (48)

1. J.D. Hamilton Time Series Analysis 1994 Princeton University Press New Jersey
2. G. Box, and G. Jenkins Time Series Analysis: Forecasting and Control 1976 Holden-Day San Francisco
3. T. Takagi, and M. Sugeno Fuzzy identification of systems and its applications to modeling and control IEEE Transactions on Systems, Man and Cybernetics 15 1985 116 132
4. J. Aznarte, J. Benítez, and J. Castro Smooth transition autoregressive models and fuzzy rule-based systems: functional equivalence and consequences Fuzzy Sets and Systems 158 2007 2734 2745 (Pubitemid 47513202)
5. F.M. Tseng, G.H. Tzeng, H.C. Yu, and B.J.C. Yuan Fuzzy ARIMA model for forecasting the foreign exchange market Fuzzy Sets and Systems 118 2001 9 19 (Pubitemid 32028666)
6. H.J. Rong, N. Sundararajan, G.B. Huang, and P. Saratchandran Sequential adaptive fuzzy inference system (SAFIS) for nonlinear system identification and prediction Fuzzy Sets and Systems 157 2006 1260 1275
7. G. Leng, T. McGinnity, and G. Prasad An approach for on-line extraction of fuzzy rules using a self-organising fuzzy neural network Fuzzy Sets and Systems 150 2005 211 243 (Pubitemid 40056019)
8. Q. Song, and B. Chissom Fuzzy time series and its models Fuzzy Sets and Systems 54 1993 269 277
9. K. Huarng Heuristic models of fuzzy time series for forecasting Fuzzy Sets and Systems 123 2001 369 386 (Pubitemid 32780469)
10. D. Dubois, and H. Prade What are fuzzy rules and how to use them Fuzzy Sets and Systems 84 1996 169 185 (Pubitemid 126667519)
11. M. Štěpnička, U. Bodenhofer, M. Daň ková, and V. Novák Continuity issues of the implicational interpretation of fuzzy rules Fuzzy Sets and Systems 161 2010 1959 1972
12. M.-T. Li, S.-C. Kuo, Y.-C. Cheng, and C.C. Chen Deterministic vector long-term forecasting for fuzzy time series Fuzzy Sets and Systems 161 2010 1852 1870
13. I. Perfilieva Fuzzy transforms: theory and applications Fuzzy Sets and Systems 157 2006 993 1023
14. V. Novák Perception-based logical deduction B. Reusch, Computational Intelligence, Theory and Applications, Advances in Soft Computing 2005 Springer Berlin 237 250 (Pubitemid 44895695)
15. V. Novák, and I. Perfilieva On the semantics of perception-based fuzzy logic deduction International Journal of Intelligent Systems 19 2004 1007 1031
16. V. Novák Linguistically oriented fuzzy logic controller and its design International Journal of Approximate Reasoning 12 3-4 1995 263 277
17. V. Novák Towards formalized integrated theory of fuzzy logic Z. Bien, K.C. Min, Fuzzy Logic and its Applications to Engineering, Information Sciences, and Intelligent Systems 1995 Kluwer Academic Publishers Dordrecht 353 363
18. V. Novák, Reasoning about mathematical fuzzy logic and its future, Fuzzy Sets and Systems, doi: 10.1016/j.fss.2010.09.019.
19. K. Ord, K. Hibon, and S. Makridakis The M3-Competition International Journal of Forecasting 16 2000 433 436
20. S. Makridakis, and K. Hibon The M3-Competition: results, conclusions and implications International Journal of Forecasting 16 2000 451 476
21. M. Štěpnička, and O. Polakovič A neural network approach to the fuzzy transform Fuzzy Sets and Systems 160 2009 1037 1047
22. I. Perfilieva, and R. Valášek Fuzzy transforms in removing noise B. Reusch, Computational Intelligence, Theory and Applications, Advances in Soft Computing 2005 Springer Berlin 221 230 (Pubitemid 44895693)
23. L.A. Zadeh Precisiated natural language AI Magazine 25 2004 74 91
24. L.A. Zadeh Outline of a new approach to the analysis of complex systems and decision processes IEEE Transactions on Systems, Man, and Cybernetics 3 1973 28 44
25. L.A. Zadeh The concept of a linguistic variable and its application to approximate reasoning I, II, III Information Sciences 8-9 1975 199 257 301-357, 43-80
26. V. Novák A comprehensive theory of trichotomous evaluative linguistic expressions Fuzzy Sets and Systems 159 22 2008 2939 2969
27. J. Peregrin Extensional vs. intensional logic D. Jacquette, Philosophy of Logic 2007 North-Holland Amsterdam 913 942
28. R. Carnap Meaning and Necessity: A Study in Semantics and Modal Logic 1947 University of Chicago Press Chicago
29. E. Hajičová, B. Partee, and P. Sgall Topic-focus Articulation, Tripartite Structures, and Semantic Content 1998 Kluwer Dordrecht
30. P. Sgall, E. Hajičová, J. Panevová, and J. Mey The Meaning of the Sentence in its Semantic and Pragmatic Aspects 1986 Kluwer Boston
31. R. Bělohlávek, and V. Novák Learning rule base of the linguistic expert systems Soft Computing 7 2002 79 88 (Pubitemid 36002912)
32. A. Dvořák, H. Habiballa, V. Novák, and V. Pavliska The software package LFLC 2000 - its specificity, recent and perspective applications Computers in Industry 51 2003 269 280
33. A. Bovas, and J. Ledolter Statistical Methods for Forecasting 2003 Wiley New York
34. Data and Metadata Reporting and Presentation Handbook, OECD, 2005.
35. I. Perfilieva, V. Novák, V. Pavliska, A. Dvořák, M. Štěpnička, Analysis and prediction of time series using fuzzy transform, in: Proceedings of the IEEE World Congress on Computational Intelligence, 2008, pp. 3875-3879.
36. P. Brockwell, and R. Davis Time Series: Theory and Methods, Springer Series in Statistics second ed. 1998 Springer-Verlag Heidelberg
37. H. Habiballa, V. Pavliska, A. Dvořák, Software system for time series prediction based on F-transform and linguistic rules, in: Proceedings of the 8th APLIMAT Conference, 2009, pp. 381-386.
38. R.J. Hyndman, Time series data library, 〈 http://robjhyndman.com/ TSDL/ 〉.
39. P. Cortez Sensitivity analysis for time lag selection to forecast seasonal time series using neural networks and support vector machines Proceedings of the IEEE International Joint Conference on Neural Networks (IJCNN) 2010 Barcelona 3694 3701
40. J. Armstrong, and F. Collopy Error measures for generalizing about forecasting methods: empirical comparisons International Journal of Forecasting 8 1992 69 80
41. J. Casillas, O. Cordón, F.H. Triguero, L. Magdalena (Eds.), Interpretability Issues in Fuzzy Modeling, Studies in Fuzziness and Soft Computing, vol. 128, Springer, Heidelberg, 2003.
42. V. Novák, and S. Lehmke Logical structure of fuzzy IF-THEN rules Fuzzy Sets and Systems 157 15 2006 2003 2029 (Pubitemid 43831202)
43. M. Daňková On approximate reasoning with graded rules Fuzzy Sets and Systems 158 2007 652 673 (Pubitemid 46187289)
44. U. Bodenhofer, and P. Bauer Interpretability of linguistic variables: a formal account Kybernetika 2 2005 227 248 (Pubitemid 41019968)
45. F.M. Pouzols, A. Lendasse, and A.B. Barros Autoregressive time series prediction by means of fuzzy inference systems using nonparametric residual variance estimation Fuzzy Sets and Systems 161 2010 471 497
46. C. Lemke, and B. Gabrys Meta-learning for time series forecasting in the NN GC1 competition Proceedings of the IEEE International Conference on Fuzzy Systems (FUZZ-IEEE) 2010 Barcelona 2258 2262
47. D.K. Barrow, S. Crone, and N. Kourentzes An evaluation of neural network ensemble and model selection for time series prediction Proceedings of the IEEE International Joint Conference on Neural Networks (IJCNN) 2010 Barcelona 752 759
48. M. Štěpnička, A. Dvořák, V. Pavliska, L. Vavříčková, Fuzzy approach to time series analysis: part II - Problems of linguistic descriptions, in: Abstracts of the FSTA'10, 2010, p. 127.