Skip to main content

Fuzzy Time Series Modeling Approaches: A Review

  • Chapter
  • First Online:
Applications of Soft Computing in Time Series Forecasting

Part of the book series: Studies in Fuzziness and Soft Computing ((STUDFUZZ,volume 330))

Abstract

Recently, there seems to be increased interest in time series forecasting using soft computing (SC) techniques, such as fuzzy sets, artificial neural networks (ANNs), rough set (RS) and evolutionary computing (EC). Among them, fuzzy set is widely used technique in this domain, which is referred to as “Fuzzy Time Series (FTS)”. In this chapter, extensive information and knowledge are provided for the FTS concepts and their applications in time series forecasting. This chapter reviews and summarizes previous research works in the FTS modeling approach from the period 1993–2013 (June). Here, we also provide a brief introduction to SC techniques, because in many cases problems can be solved most effectively by integrating these techniques into different phases of the FTS modeling approach. Hence, several techniques that are hybridized with the FTS modeling approach are discussed briefly. We also identified various domains specific problems and research trends, and try to categorize them. The chapter ends with the implication for future works. This review may serve as a stepping stone for the amateurs and advanced researchers in this domain.

Although this may seem a paradox, all exact science is dominated by the concept of approximation. By Bertrand Shaw (1872–1970)

This is a preview of subscription content, log in via an institution to check access.

Access this chapter

eBook
USD 16.99
Price excludes VAT (USA)
  • Available as EPUB and PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book
USD 109.99
Price excludes VAT (USA)
  • Compact, lightweight edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info
Hardcover Book
USD 109.99
Price excludes VAT (USA)
  • Durable hardcover edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info

Tax calculation will be finalised at checkout

Purchases are for personal use only

Institutional subscriptions

Notes

  1. 1.

    References are: (Zadeh 1971, 1973, 1975a).

  2. 2.

    References are: (Song and Chissom 1993a, b, 1994).

  3. 3.

    References are: (Chen 1996; Song and Chissom 1993a, 1994).

  4. 4.

    References are: (Chen 1996; Song and Chissom 1993a, 1994).

  5. 5.

    References are: (Chang et al. 2007; Chen 1996; Cheng et al. 2006; Huarng 2001; Hwang et al. 1998; Song and Chissom 1993a, b, 1994).

  6. 6.

    References are: (Aladag et al. 2009, 2010; Avazbeigi et al. 2010; Bahrepour et al. 2011; Chen 2002; Chen and Chen 2011a, b; Chen and Chung 2006b; Chen et al 2008; Gangwar and Kumar 2012; Jilani and Burney 2008; Own and Yu 2005; Singh 2007a, c, 2008, 2009; Tsai and Wu 2000).

  7. 7.

    References are: (Chen 1996, 2002; Cheng et al. 2008b; Huarng 2001; Huarng et al 2007; Hwang et al. 1998; Jilani and Burney 2008; Kuo et al. 2009; Lee et al. 2006; Li et al. 2008; Qiu et al 2011; Singh and Borah 2012, 2013b; Singh 2007a, b, 2009; Yu 2005b).

  8. 8.

    References are: (Huang et al. 2011a, b; Kuo et al. 2009, 2010).

  9. 9.

    References are: (Huang et al. 2011a, b; Kuo et al. 2009, 2010).

  10. 10.

    References are: (Cheng et al. 2013; Huarng and Yu 2012; Wei et al 2011; Yu and Huarng 2010).

  11. 11.

    References are: (Aladag et al. 2012; Avazbeigi et al. 2010; Bai et al. 2011; Kuo et al. 2010).

  12. 12.

    References are: (Egrioglu et al. 2010, 2011a; Sah and Degtiarev 2005; Wong et al. 2010; Yu 2005a).

References

  • Aladag CH, Basaran MA, Egrioglu E, Yolcu U, Uslu VR (2009) Forecasting in high order fuzzy times series by using neural networks to define fuzzy relations. Expert Syst Appl 36(3):4228–4231

    Article  Google Scholar 

  • Aladag CH, Yolcu U, Egrioglu E (2010) A high order fuzzy time series forecasting model based on adaptive expectation and artificial neural networks. Math Comput Simul 81(4):875–882

    Article  MathSciNet  MATH  Google Scholar 

  • Aladag CH, Yolcu U, Egrioglu E, Dalar AZ (2012) A new time invariant fuzzy time series forecasting method based on particle swarm optimization. Appl Soft Comput 12(10):3291–3299

    Article  Google Scholar 

  • Avazbeigi M, Doulabi SHH, Karimi B (2010) Choosing the appropriate order in fuzzy time series: a new N-factor fuzzy time series for prediction of the auto industry production. Expert Syst Appl 37(8):5630–5639

    Article  Google Scholar 

  • Bahrepour M, Akbarzadeh-T MR, Yaghoobi M, Naghibi-S MB (2011) An adaptive ordered fuzzy time series with application to FOREX. Expert Syst Appl 38(1):475–485

    Article  Google Scholar 

  • Bai E, Wong WK, Chu WC, Xia M, Pan F (2011) A heuristic time-invariant model for fuzzy time series forecasting. Expert Syst Appl 38(3):2701–2707

    Article  Google Scholar 

  • Bajestani NS, Zare A (2011) Forecasting TAIEX using improved type 2 fuzzy time series. Expert Syst Appl 38(5):5816–5821

    Article  Google Scholar 

  • Bang YK, Lee CH (2011) Fuzzy time series prediction using hierarchical clustering algorithms. Expert Syst Appl 38(4):4312–4325

    Article  Google Scholar 

  • Beale MH, Hagan MT, Demuth HB (2010) Neural network Toolbox 7. The MathWorks Inc, Natick, MA

    Google Scholar 

  • Bonissone PP (1997) Soft computing: the convergence of emerging reasoning technologies. Soft Comput 1:6–18

    Article  Google Scholar 

  • Brockwell PJ, Davis RA (2008) Introduction to time series and forecasting, 2nd edn. Springer, New York

    MATH  Google Scholar 

  • Castro LN, Timmis JI (2003) Artificial immune systems as a novel soft computing paradigm. Soft Comput 7:526–544

    Article  Google Scholar 

  • Chang JR, Lee YT, Liao SY, Cheng CH (2007) Cardinality-based fuzzy time series for forecasting enrollments. New Trends Appl Artif Intell, vol 4570. Springer, Berlin/Heidelberg, pp 735–744

    Chapter  Google Scholar 

  • Chatfield C (2000) Time-series forecasting. Chapman and Hall, CRC Press, Boca Raton

    Google Scholar 

  • Chen SM (1996) Forecasting enrollments based on fuzzy time series. Fuzzy Sets Syst 81:311–319

    Article  Google Scholar 

  • Chen SM (2002) Forecasting enrollments based on high-order fuzzy time series. Cybern Syst: Int J 33(1):1–16

    Article  MATH  Google Scholar 

  • Chen SM, Chen CD (2011a) Handling forecasting problems based on high-order fuzzy logical relationships. Expert Syst Appl 38(4):3857–3864

    Article  Google Scholar 

  • Chen SM, Chen CD (2011b) Handling forecasting problems based on high-order fuzzy logical relationships. Expert Syst Appl 38(4):3857–3864

    Article  Google Scholar 

  • Chen SM, Chung NY (2006a) Forecasting enrollments of students by using fuzzy time series and genetic algorithms. Int J Inf Manag Sci 17(3):1–17

    MathSciNet  MATH  Google Scholar 

  • Chen SM, Chung NY (2006b) Forecasting enrollments using high-order fuzzy time series and genetic algorithms. Int J Intell Syst 21(5):485–501

    Article  MATH  Google Scholar 

  • Chen SM, Hwang JR (2000) Temperature prediction using fuzzy time series. IEEE Trans Syst Man Cybern Part B: Cybern 30:263–275

    Article  Google Scholar 

  • Chen SM, Tanuwijaya K (2011) Multivariate fuzzy forecasting based on fuzzy time series and automatic clustering techniques. Expert Syst Appl 38(8):10,594–10,605

    Google Scholar 

  • Chen SM, Wang NY (2010) Fuzzy forecasting based on fuzzy-trend logical relationship groups. IEEE Trans Syst Man Cybern Part B: Cybern 40(5):1343–1358

    Article  Google Scholar 

  • Chen TL, Cheng CH, Teoh HJ (2008) High-order fuzzy time-series based on multi-period adaptation model for forecasting stock markets. Phys A: Stat Mech Appl 387(4):876–888

    Article  Google Scholar 

  • Chen TY (2012) A signed-distance-based approach to importance assessment and multi-criteria group decision analysis based on interval type-2 fuzzy set. Knowl Inf Syst

    Google Scholar 

  • Chen YS, Cheng CH (2013) Application of rough set classifiers for determining hemodialysis adequacy in ESRD patients. Knowl Inf Syst 34:453–482

    Article  Google Scholar 

  • Cheng C, Chang J, Yeh C (2006) Entropy-based and trapezoid fuzzification-based fuzzy time series approaches for forecasting IT project cost. Technol Forecast Soc Change 73:524–542

    Article  Google Scholar 

  • Cheng CH, Cheng GW, Wang JW (2008a) Multi-attribute fuzzy time series method based on fuzzy clustering. Expert Syst Appl 34:1235–1242

    Article  Google Scholar 

  • Cheng CH, Wang JW, Li CH (2008b) Forecasting the number of outpatient visits using a new fuzzy time series based on weighted-transitional matrix. Expert Syst Appl 34(4):2568–2575

    Article  Google Scholar 

  • Cheng CH, Chen TL, Wei LY (2010) A hybrid model based on rough sets theory and genetic algorithms for stock price forecasting. Inf Sci 180(9):1610–1629

    Article  Google Scholar 

  • Cheng CH, Huang SF, Teoh HJ (2011) Predicting daily ozone concentration maxima using fuzzy time series based on a two-stage linguistic partition method. Comput Math Appl 62(4):2016–2028

    Article  Google Scholar 

  • Cheng CH, Wei LY, Liu JW, Chen TL (2013) OWA-based ANFIS model for TAIEX forecasting. Econ Modell 30:442–448

    Article  Google Scholar 

  • Czibula G, Czibula IG, Găceanu RD (2013) Intelligent data structures selection using neural networks. Knowl Inf Syst 34:171–192

    Article  Google Scholar 

  • Donaldson RG, Kamstra M (1996) Forecast combining with neural networks. J Forecast 15(1):49–61

    Article  Google Scholar 

  • Dote Y, Ovaska SJ (2001) Industrial applications of soft computing: a review. Proc IEEE 89(9):1243–1265

    Article  Google Scholar 

  • Eberhart R, Kennedy J (1995) A new optimizer using particle swarm theory. In: Proceedings of the sixth international symposium on micro machine and human science, Nagoya, pp 39–43

    Google Scholar 

  • Eberhart R, Shi Y (2001) Particle swarm optimization: Developments, applications and resources. In: Proceedings of the IEEE international conference on evolutionary computation, Brisbane, Australia, pp 591–600

    Google Scholar 

  • Egrioglu E, Aladag CH, Yolcu U, Basaran MA, Uslu VR (2009) A new hybrid approach based on SARIMA and partial high order bivariate fuzzy time series forecasting model. Expert Syst Appl 36(4):7424–7434

    Article  Google Scholar 

  • Egrioglu E, Aladag CH, Yolcu U, Uslu VR, Basaran MA (2010) Finding an optimal interval length in high order fuzzy time series. Expert Syst Appl 37(7):5052–5055

    Article  Google Scholar 

  • Egrioglu E, Aladag CH, Basaran MA, Yolcu U, Uslu VR (2011a) A new approach based on the optimization of the length of intervals in fuzzy time series. J Intell Fuzzy Syst 22(1):15–19

    MATH  Google Scholar 

  • Egrioglu E, Aladag CH, Yolcu U, Uslu V, Erilli N (2011b) Fuzzy time series forecasting method based on Gustafson-Kessel fuzzy clustering. Expert Syst Appl 38(8):10355–10357

    Google Scholar 

  • Estivill-Castro V (2002) Why so many clustering algorithms: a position paper. ACM SIGKDD Explor Newslett 4(1):65–75

    Article  MathSciNet  Google Scholar 

  • Gangwar SS, Kumar S (2012) Partitions based computational method for high-order fuzzy time series forecasting. Expert Systems with Applications 39(15):12,158–12,164

    Google Scholar 

  • Gaume E, Gosset R (2003) Over-parameterisation, a major obstacle to the use of artificial neural networks in hydrology? Hydrol Earth Syst Sci 7(5):693–706

    Article  Google Scholar 

  • Gen M, Cheng R (1997) Genetic algorithms and engineering design. Wiley, New York

    Google Scholar 

  • Goldberg DE (1989) Genetic algorithm in search, optimization, and machine learning. Addison-Wesley, Massachusetts

    MATH  Google Scholar 

  • Gondek D, Hofmann T (2007) Non-redundant data clustering. Knowl Inf Syst 12:1–24

    Article  Google Scholar 

  • Greenfield S, Chiclana F (2013) Accuracy and complexity evaluation of defuzzification strategies for the discretised interval type-2 fuzzy set. Int J Approximate Reasoning 54(8):1013–1033

    Article  MathSciNet  MATH  Google Scholar 

  • Haykin S (1999) Neural Networks, a comprehensive foundation. Macmillan College Publishing Co., New York

    MATH  Google Scholar 

  • Herrera-Viedma E, Cabrerizo FJ, Kacprzyk J, Pedrycz W (2014) A review of soft consensus models in a fuzzy environment. Information Fusion 17:4–13

    Article  Google Scholar 

  • Holland JH (1975) Adaptation in natural and artificial systems. MIT Press, Cambridge

    Google Scholar 

  • Hornik K, Stinchcombe M, White H (1989) Multilayer feedforward networks are universal approximators. Neural Netw 2(5):359–366

    Article  Google Scholar 

  • Hsu YY, Tse SM, Wu B (2003) A new approach of bivariate fuzzy time series analysis to the forecasting of a stock index. Int J Uncertain Fuzziness Knowl-Based Syst 11(6):671–690

    Article  MathSciNet  MATH  Google Scholar 

  • Huang YL, Horng SJ, He M, Fan P, Kao TW, Khan MK, Lai JL, Kuo IH (2011a) A hybrid forecasting model for enrollments based on aggregated fuzzy time series and particle swarm optimization. Expert Syst Appl 38(7):8014–8023

    Article  Google Scholar 

  • Huang YL, Horng SJ, Kao TW, Run RS, Lai JL, Chen RJ, Kuo IH, Khan MK (2011b) An improved forecasting model based on the weighted fuzzy relationship matrix combined with a PSO adaptation for enrollments. Int J Innov Comput Inf Control 7(7A):4027–4046

    Google Scholar 

  • Huarng K (2001) Heuristic models of fuzzy time series for forecasting. Fuzzy Sets Systems 123:369–386

    Article  MathSciNet  MATH  Google Scholar 

  • Huarng K, Yu HK (2005) A Type 2 fuzzy time series model for stock index forecasting. Phys A: Stat Mech Appl 353:445–462

    Article  Google Scholar 

  • Huarng K, Yu THK (2006a) The application of neural networks to forecast fuzzy time series. Phys A: Stat Mech Appl 363(2):481–491

    Article  Google Scholar 

  • Huarng K, Yu THK (2006b) Ratio-based lengths of intervals to improve fuzzy time series forecasting. IEEE Trans Syst Man Cybern Part B: Cybern 36(2):328–340

    Article  Google Scholar 

  • Huarng KH, Yu THK (2012) Modeling fuzzy time series with multiple observations. Int J Innov Comput Inf Control 8(10(B)):7415–7426

    Google Scholar 

  • Huarng KH, Yu THK, Hsu YW (2007) A multivariate heuristic model for fuzzy time-series forecasting. IEEE Trans Syst Man Cybern Part B: Cybern 37:836–846

    Article  Google Scholar 

  • Hwang JR, Chen SM, Lee CH (1998) Handling forecasting problems using fuzzy time series. Fuzzy Sets Syst 100:217–228

    Article  Google Scholar 

  • Indro DC et al (1999) Predicting mutual fund performance using artificial neural networks. Omega 27(3):373–380

    Article  Google Scholar 

  • Jang JSR, Sun CT, Mizutani E (1997) Neuro-fuzzy and soft computing: a computational approach to learning and machine intelligence. Prentice-Hall, London

    Google Scholar 

  • Jiang Y, Li X, Huang C, Wu X (2013) Application of particle swarm optimization based on CHKS smoothing function for solving nonlinear bilevel programming problem. Appl Math Comput 219(9):4332–4339

    Article  MathSciNet  MATH  Google Scholar 

  • Jilani TA, Burney SMA (2008) A refined fuzzy time series model for stock market forecasting. Phys A 387(12):2857–2862

    Article  Google Scholar 

  • Kacprzyk J (2010) Advances in soft computing, vol 7095. Springer, Heidelberg

    Google Scholar 

  • Kennedy J, Eberhart R (1995) Particle swarm optimization. In: IEEE international conference on neural networks, Perth, WA 4:1942–1948

    Google Scholar 

  • Keogh E, Lin J (2005) Clustering of time-series subsequences is meaningless: implications for previous and future research. Knowl Inf Syst 8(2):154–177

    Article  Google Scholar 

  • Kohonen T (1990) The self organizing maps. In: Proceedings of the IEEE, vol 78, pp 1464–1480

    Google Scholar 

  • Kuligowski RJ, Barros AP (1998) Experiments in short-term precipitation forecasting using artificial neural networks. Mon Weather Rev 126:470–482

    Article  Google Scholar 

  • Kumar K, Bhattacharya S (2006) Artificial neural network vs. linear discriminant analysis in credit ratings forecast: A comparative study of prediction performances. Review of Accounting and Finance 5(3):216–227

    Article  MathSciNet  Google Scholar 

  • Kumar S (2004) Neural networks: a classroom approach. Tata McGraw-Hill Education Pvt. Ltd., New Delhi

    Google Scholar 

  • Kuo IH, Horng SJ, Kao TW, Lin TL, Lee CL, Pan Y (2009) An improved method for forecasting enrollments based on fuzzy time series and particle swarm optimization. Expert Syst Appl 36(3, Part 2):6108–6117

    Google Scholar 

  • Kuo IH, Horng SJ, Chen YH, Run RS, Kao TW, Chen RJ, Lai JL, Lin TL (2010) Forecasting TAIFEX based on fuzzy time series and particle swarm optimization. Expert Syst Appl 37(2):1494–1502

    Article  Google Scholar 

  • Law R (2000) Back-propagation learning in improving the accuracy of neural network-based tourism demand forecasting. Tour Manag 21(4):331–340

    Article  Google Scholar 

  • Lee HS, Chou MT (2004) Fuzzy forecasting based on fuzzy time series. Int J Comput Math 81(7):781–789

    Article  MathSciNet  MATH  Google Scholar 

  • Lee LW, Wang LH, Chen SM, Leu YH (2006) Handling forecasting problems based on two-factors high-order fuzzy time series. IEEE Trans Fuzzy Syst 14:468–477

    Article  Google Scholar 

  • Lee LW, Wang LH, Chen SM (2007) Temperature prediction and TAIFEX forecasting based on fuzzy logical relationships and genetic algorithms. Expert Syst Appl 33(3):539–550

    Article  Google Scholar 

  • Lee LW, Wang LH, Chen SM (2008) Temperature prediction and TAIFEX forecasting based on high-order fuzzy logical relationships and genetic simulated annealing techniques. Expert Syst Appl 34(1):328–336

    Article  Google Scholar 

  • Lee ZY (2006) Method of bilaterally bounded to solution blasius equation using particle swarm optimization. Appl Math Comput 179(2):779–786

    Article  MathSciNet  MATH  Google Scholar 

  • Lertworaprachaya Y, Yang Y, John R (2010) High-order Type-2 fuzzy time series. International conference of soft computing and pattern recognition. IEEE, Paris, pp 363–368

    Google Scholar 

  • Li ST, Cheng YC (2007) Deterministic fuzzy time series model for forecasting enrollments. Comput Math Appl 53(12):1904–1920

    Article  MathSciNet  MATH  Google Scholar 

  • Li ST, Cheng YC, Lin SY (2008) A FCM-based deterministic forecasting model for fuzzy time series. Comput Math Appl 56(12):3052–3063

    Article  MathSciNet  MATH  Google Scholar 

  • Li ST, Kuo SC, Cheng YC, Chen CC (2011) A vector forecasting model for fuzzy time series. Appl Soft Comput 11(3):3125–3134

    Article  Google Scholar 

  • Li ST et al (2010) Deterministic vector long-term forecasting for fuzzy time series. Fuzzy Sets Syst 161(13):1852–1870

    Article  MathSciNet  MATH  Google Scholar 

  • Liao TW (2005) Clustering of time series data - a survey. Pattern Recogn 38(11):1857–1874

    Article  MATH  Google Scholar 

  • Lin SY, Horng SJ, Kao TW, Huang DK, Fahn CS, Lai JL, Chen RJ, Kuo IH (2010a) An efficient bi-objective personnel assignment algorithm based on a hybrid particle swarm optimization model. Expert Syst Appl 37(12):7825–7830

    Article  Google Scholar 

  • Lin TL, Horng SJ, Kao TW, Chen YH, Run RS, Chen RJ, Lai JL, Kuo IH (2010b) An efficient job-shop scheduling algorithm based on particle swarm optimization. Expert Syst Appl 37(3):2629–2636

    Article  Google Scholar 

  • Liu HT (2007) An improved fuzzy time series forecasting method using trapezoidal fuzzy numbers. Fuzzy Optim Decis Making 6:63–80

    Article  MathSciNet  MATH  Google Scholar 

  • Liu HT, Wei ML (2010) An improved fuzzy forecasting method for seasonal time series. Expert Syst Appl 37(9):6310–6318

    Article  Google Scholar 

  • Liu HT, Wei NC, Yang CG (2009) Improved time-variant fuzzy time series forecast. Fuzzy Optim Decis Making 8:45–65

    Article  MathSciNet  MATH  Google Scholar 

  • Liu Y, Starzyk JA, Zhu Z (2008) Optimized approximation algorithm in neural networks without overfitting. IEEE Trans Neural Netw 19(6):983–995

    Article  Google Scholar 

  • Mencattini A, Salmeri M, Bertazzoni S, Lojacono R, Pasero E, Moniaci W (2005) Local meteorological forecasting by type-2 fuzzy systems time series prediction. IEEE International conference on computational intelligence for measurement systems and applications. Giardini Naxos, Italy, pp 20–22

    Google Scholar 

  • Mitra S, Pal SK, Mitra P (2002) Data mining in soft computing framework: a survey. IEEE Trans Neural Netw 13(1):3–14

    Article  Google Scholar 

  • Montalvo I, Izquierdo J, Pérez R, Tung MM (2008) Particle swarm optimization applied to the design of water supply systems. Comput Math Appl 56(3):769–776

    Article  MathSciNet  MATH  Google Scholar 

  • Ordonez C (2003) Clustering binary data streams with K-means. In: Proceedings of the 8th ACM SIGMOD workshop on Research issues in data mining and knowledge discovery. ACM Press, New York, USA, pp 12–19

    Google Scholar 

  • Own CM, Yu PT (2005) Forecasting fuzzy time series on a heuristic high-order model. Cybern Syst: Int J 36(7):705–717

    Article  MATH  Google Scholar 

  • Pattaraintakorn P, Cercone N (2008) Integrating rough set theory and medical applications. Appl Math Lett 21(4):400–403

    Article  MathSciNet  MATH  Google Scholar 

  • Pawlak Z (1982) Rough sets. Int J Comput Inf Sci 11(5):341–356

    Article  MATH  Google Scholar 

  • Pawlak Z (1991) Rough sets: theoretical aspects of reasoning about data. Kluwer Academic Publishers

    Google Scholar 

  • Pedrycz W, Sosnowski Z (2005) C-Fuzzy decision trees. IEEE Trans Syst Man Cybern C Appl Rev 35(4):498–511

    Article  Google Scholar 

  • Piotrowski AP, Napiorkowski JJ (2012) A comparison of methods to avoid overfitting in neural networks training in the case of catchment runoff modelling. J Hydrol

    Google Scholar 

  • Qiu W, Liu X, Li H (2011) A generalized method for forecasting based on fuzzy time series. Expert Syst Appl 38(8):10446–10453

    Google Scholar 

  • Qiu W, Liu X, Wang L (2012) Forecasting shanghai composite index based on fuzzy time series and improved C-fuzzy decision trees. Expert Syst Appl 39(9):7680–7689

    Article  Google Scholar 

  • Ross TJ (2007) Fuzzy Logic with engineering applications. John Wiley and Sons, Singapore

    Google Scholar 

  • Sah M, Degtiarev K (2005) Forecasting enrollment model based on first-order fuzzy time series. Prec World Acad Sci Eng Technol 1:132–135

    Google Scholar 

  • Singh P, Borah B (2012) An effective neural network and fuzzy time series-based hybridized model to handle forecasting problems of two factors. Knowl Inf Syst 38(3):669–690

    Article  Google Scholar 

  • Singh P, Borah B (2013a) Forecasting stock index price based on M-factors fuzzy time series and particle swarm optimization. International Journal of Approximate Reasoning

    Google Scholar 

  • Singh P, Borah B (2013b) High-order fuzzy-neuro expert system for daily temperature forecasting. Knowl-Based Syst 46:12–21

    Article  Google Scholar 

  • Singh SR (2007a) A robust method of forecasting based on fuzzy time series. Appl Math Comput 188(1):472–484

    Article  MathSciNet  MATH  Google Scholar 

  • Singh SR (2007b) A simple method of forecasting based on fuzzy time series. Appl Math Comput 186(1):330–339

    Article  MathSciNet  MATH  Google Scholar 

  • Singh SR (2007c) A simple time variant method for fuzzy time series forecasting. Cybernetics and Systems: An International Journal 38(3):305–321

    Article  MATH  Google Scholar 

  • Singh SR (2008) A computational method of forecasting based on fuzzy time series. Math Comput Simul 79(3):539–554

    Article  MathSciNet  MATH  Google Scholar 

  • Singh SR (2009) A computational method of forecasting based on high-order fuzzy time series. Expert Syst Appl 36(7):10,551–10,559

    Google Scholar 

  • Sivanandam SN, Deepa SN (2007) Principles of soft computing. Wiley India (P) Ltd., New Delhi

    Google Scholar 

  • Song Q, Chissom BS (1993a) Forecasting enrollments with fuzzy time series - Part I. Fuzzy Sets Syst 54(1):1–9

    Article  Google Scholar 

  • Song Q, Chissom BS (1993b) Fuzzy time series and its models. Fuzzy Sets Syst 54(1):1–9

    Article  MathSciNet  MATH  Google Scholar 

  • Song Q, Chissom BS (1994) Forecasting enrollments with fuzzy time series - Part II. Fuzzy Sets Syst 62(1):1–8

    Article  Google Scholar 

  • Szmidt E, Kacprzyk J, Bujnowski P (2014) How to measure the amount of knowledge conveyed by atanassov’s intuitionistic fuzzy sets. Inf Sci 257:276–285

    Article  MathSciNet  MATH  Google Scholar 

  • Tan PN, Steinbach M, Kumar V (2009) Introduction to data mining, 4th edn. Dorling Kindersley Publishing Inc, India

    Google Scholar 

  • Taylor JW, Buizza R (2002) Neural network load forecasting with weather ensemble predictions. IEEE Trans Power Syst 17:626–632

    Article  Google Scholar 

  • Teoh HJ, Cheng CH, Chu HH, Chen JS (2008) Fuzzy time series model based on probabilistic approach and rough set rule induction for empirical research in stock markets. Data Knowl Eng 67(1):103–117

    Article  Google Scholar 

  • Teoh HJ, Chen TL, Cheng CH, Chu HH (2009) A hybrid multi-order fuzzy time series for forecasting stock markets. Expert Syst Appl 36(4):7888–7897

    Article  Google Scholar 

  • Trelea IC (2003) The particle swarm optimization algorithm: convergence analysis and parameter selection. Inf Process Lett 85(6):317–325

    Article  MathSciNet  MATH  Google Scholar 

  • Tsai CC, Wu SJ (2000) Forecasting enrolments with high-order fuzzy time series. 19th International conference of the North American. Fuzzy Information Processing Society, Atlanta, GA, pp 196–200

    Google Scholar 

  • Tsaur RC, Yang JCO, Wang HF (2005) Fuzzy relation analysis in fuzzy time series model. Comput Math Appl 49(4):539–548

    Article  MathSciNet  MATH  Google Scholar 

  • Venkatesan C, Raskar SD, Tambe SS, Kulkarni BD, Keshavamurty RN (1997) Prediction of all India summer monsoon rainfall using error-back-propagation neural networks. Meteorol Atmos Phys 62:225–240

    Article  Google Scholar 

  • Wan Z, Wang G, Sun B (2013) A hybrid intelligent algorithm by combining particle swarm optimization with chaos searching technique for solving nonlinear bilevel programming problems. Swarm Evol Comput 8:26–32

    Article  Google Scholar 

  • Wei LY, Chen TL, Ho TH (2011) A hybrid model based on adaptive-network-based fuzzy inference system to forecast Taiwan stock market. Expert Syst Appl 38(11):13,625–13,631

    Google Scholar 

  • Weigend A (1994) An overfitting and the effective number of hidden units. In: Mozer MC, Smolensky P, Weigend AS (eds) Proceedings of the 1993 Connectionist Models Summer School. Lawrence Erlbaum Associates, Hillsdale, NJ, pp 335–342

    Google Scholar 

  • Wilson ID, Paris SD, Ware JA, Jenkins DH (2002) Residential property price time series forecasting with neural networks. Knowl-Based Syst 15(5–6):335–341

    Article  Google Scholar 

  • Wong WK, Bai E, Chu AWC (2010) Adaptive time-variant models for fuzzy-time-series forecasting. IEEE Trans Syst Man Cybern Part B: Cybern 40:453–482

    Google Scholar 

  • Wu X et al (2008) Top 10 algorithms in data mining. Knowl Inf Syst 14:1–37

    Article  Google Scholar 

  • Xiong Y, Yeung DY (2002) Mixtures of ARMA models for model-based time series clustering. In: IEEE International conference on data mining, Los Alamitos, USA, pp 717–720

    Google Scholar 

  • Yardimci A (2009) Soft computing in medicine. Appl Soft Comput 9(3):1029–1043

    Article  Google Scholar 

  • Yolcu U et al (2011) Time-series forecasting with a novel fuzzy time-series approach: an example for Istanbul stock market. Journal of Statistical Computation and Simulation

    Google Scholar 

  • Yu HK (2005a) A refined fuzzy time-series model for forecasting. Phys A 346(3–4):657–681

    Article  Google Scholar 

  • Yu HK (2005b) Weighted fuzzy time series models for TAIEX forecasting. Phys A 349(3–4):609–624

    Article  Google Scholar 

  • Yu THK, Huarng KH (2010) A neural network-based fuzzy time series model to improve forecasting. Expert Syst Appl 37(4):3366–3372

    Article  Google Scholar 

  • Zadeh LA (1965) Fuzzy sets. Inf Control 8(3):338–353

    Article  MATH  Google Scholar 

  • Zadeh LA (1971) Similarity relations and fuzzy orderings. Inf Sci 3:177–200

    Article  MathSciNet  MATH  Google Scholar 

  • Zadeh LA (1973) Outline of a new approach to the analysis of complex systems and decision processes. IEEE Trans Syst Man Cybern SMC-3:28–44

    Google Scholar 

  • Zadeh LA (1975a) The concept of a linguistic variable and its application to approximate reasoning - I. Inf Sci 8(3):199–249

    Article  MathSciNet  MATH  Google Scholar 

  • Zadeh LA (1975b) The concept of a linguistic variable and its application to approximate reasoning- III. Inf Sci 9(1):43–80

    Article  MathSciNet  MATH  Google Scholar 

  • Zadeh LA (1989) Knowledge representation in fuzzy logic. IEEE Trans Knowl Data Eng 1(1):89–100

    Article  Google Scholar 

  • Zadeh LA (1994) Fuzzy logic, neural networks, and soft computing. Commun ACM 37(3):77–84

    Article  Google Scholar 

  • Zadeh LA (1997) The roles of fuzzy logic and soft computing in the conception, design and deployment of intelligent systems. In: Software agents and soft computing, pp 183–190

    Google Scholar 

  • Zadeh LA (2002) From computing with numbers to computing with words - From manipulation of measurements to manipulation of perceptions. Int J Appl Math Comput Sci 12(3):307–324

    MathSciNet  MATH  Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Corresponding author

Correspondence to Pritpal Singh .

Rights and permissions

Reprints and permissions

Copyright information

© 2016 Springer International Publishing Switzerland

About this chapter

Cite this chapter

Singh, P. (2016). Fuzzy Time Series Modeling Approaches: A Review. In: Applications of Soft Computing in Time Series Forecasting. Studies in Fuzziness and Soft Computing, vol 330. Springer, Cham. https://doi.org/10.1007/978-3-319-26293-2_2

Download citation

  • DOI: https://doi.org/10.1007/978-3-319-26293-2_2

  • Published:

  • Publisher Name: Springer, Cham

  • Print ISBN: 978-3-319-26292-5

  • Online ISBN: 978-3-319-26293-2

  • eBook Packages: EngineeringEngineering (R0)

Publish with us

Policies and ethics