Abstract
Most real world applications contain high levels of uncertainty and imprecision. Sources of the imprecision include sensor noise; variation in actuator performance; linguistic variation between people; temporal modification of expert opinion; and disagreement between experts. Type-2 fuzzy logic is now accepted as a mature technology for coping with this wide variety of sources of uncertainty. This Chapter provides an overview of type-2 fuzzy logic systems providing the reader with an insight into how the various algorithms provide different approaches to modelling uncertainty. We place in context these issues by discussing a number of real world applications that have successfully deployed type-2 fuzzy logic.
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References
Coupland, S., John, R.: An Approach to Type-2 Fuzzy Arithmetic. In: Proc. UK Workshop on Computational Intelligence, pp. 107–114 (2004)
Coupland, S., John, R.: Fuzzy Logic and Computational Geometry. In: Proc. RASC 2004, Nottingham, England, December 2004, pp. 3–8 (2004)
Coupland, S., John, R.: Towards More Efficient Type-2 Fuzzy Logic Systems. In: Proc. FUZZ-IEEE 2005, Reno, NV, USA, May 2005, pp. 236–241 (2005)
Coupland, S., John, R.: New Geometric Inference Techniques for Type-2 Fuzzy Sets. International Journal of Approximate Reasoning 49(1), 198–211 (2008)
Coupland, S., Wheeler, J., Gongora, M.: A generalised type-2 fuzzy logic system embedded board and integrated development environment. In: Proc. FUZZ-IEEE 2008 (in WCCI 2008), Hong Kong (accepted for publication, 2008)
Coupland, S., John, R.: Geometric logical operations for type-2 fuzzy sets. In: Proc. IPMU 2008, Malaga (submitted, December 2007)
Di Lascio, L., Gisolfi, A., Nappi, A.: Medical differential diagnosis through Type-2 Fuzzy Sets. In: Proc. FUZZ-IEEE 2005, Reno, NV, USA, May 2005, pp. 371–376 (2005)
Doctor, F., Hagras, H., Callaghan, V.: A Type-2 Fuzzy Embedded Agent For Ubiquitous Computing Environments. In: Proc. FUZZ-IEEE 2004, Budapest, Hungary, July 2004, pp. 1105–1110 (2004)
Dubois, D., Prade, H.: Fuzzy Sets and Systems: Theory and Applications. Academic Press, New York (1980)
Figueroa, J., Posada, J., Soriano, J., Melgarejo, M., Rojas, S.: A Type-2 Fuzzy Controller for Tracking Mobile Objects in the Context of Robotic Soccer Games. In: Proc. FUZZ-IEEE 2005, Reno, AZ, USA, May 2005, pp. 359–364 (2005)
Garibaldi, J.M., Westgate, J.A., Ifeachor, E.C., Greene, K.R.: The Development and Implementation of an Expert System for the Analysis of Umbilical Cord Blood. Artificial Intelligence in Medicine 10(2), 129–144 (1997)
Greenfield, S., John, R., Coupland, S.: A Novel Sampling Method for Type-2 Defuzzification. In: Proc. UKCI 2005, pp. 120–127 (2005)
Hagras, H.: A Hierarchical Type-2 Fuzzy Logic Control Architecture for Autonomous Mobile Robots. IEEE Transactions on Fuzzy Systems 12, 524–539 (2004)
Innocent, P., John, R.I.: Computer Aided Fuzzy Medical Diagnosis. Information Sciences 162, 81–104 (2004)
John, R., Coupland, S.: Type-2 Fuzzy Logic: A Historical View. IEEE Computational Intelligence Magazine 2(1), 57–62 (2007)
John, R., Lake, S.: Modelling nursing perceptions using type-2 fuzzy sets. In: EUROFUSE 2001 Workshop on Preference Modelling and Applications, pp. 241–246 (2001)
John, R.I.: Type-2 Fuzzy Sets. Expert Update, 2(2) (1999) ISSN 1465-4091
John, R.I., Innocent, P.R., Barnes, M.R.: Neuro-fuzzy clustering of radiographic tibia image data using type-2 fuzzy sets. Information Sciences 125, 203–220 (2000)
John, R.I.: Type-2 inferencing and community transport scheduling. In: Proc. Fourth European Congress on Intelligent Techniques and Soft Computing, EUFIT 1996, Aachen, Germany, September 1996, p. 1369 (1996)
John, R.I.: Type–2 Fuzzy Sets for Knowledge Representation and Inferencing. In: Proc. 7th Intl. Conf. on Fuzzy Systems FUZZ-IEEE 1998, pp. 1003–1008 (1998)
John, R.I.: Type 2 Fuzzy Sets: An Appraisal of Theory and Applications. International Journal of Uncertainty, Fuzziness and Knowledge Based Systems 6(6), 563–576 (1998)
John, R.I.: Fuzzy sets of type-2. Journal of Advanced Computational Intelligence 3(6), 499–508 (1999)
John, R.I., Innocent, P.R., Barnes, M.R.: Type–2 Fuzzy Sets and Neuro-Fuzzy Clustering of Radiographic Tibia Images. In: Proc. FUZZ-IEEE 1998, pp. 1373–1376 (1998)
John, R.I., Lake, S.: Type-2 fuzzy sets for modelling nursing intuition. In: Proc. Joint 9th IFSA World Congress and 20th NAFIPS International Conference, July 2001, pp. 1920–1925 (2001)
Karnik, N.N., Mendel, J.M.: Introduction to Type-2 Fuzzy Logic Systems. In: Proc. IEEE World Congress on Computational Intelligence, Anchorage, Alaska, USA, pp. 915–920 (1998)
Karnik, N.N., Mendel, J.M.: Type-2 Fuzzy Logic Systems: Type-Reduction. In: Proc. IEEE Systems, Man and Cybernetics, pp. 2046–2051 (1998)
Karnik, N.N., Mendel, J.M.: Application of Type-2 Fuzzy Logic System to Forecasting of Time-Series. Information Sciences 120, 89–111 (1999)
Karnik, N.N., Mendel, J.M.: Centroid of a type-2 fuzzy Set. Information Sciences 132, 195–220 (2001)
Klir, G.J., Folger, T.A.: Fuzzy Sets, Uncertainty, and Information. Prentice-Hall, Englewood Cliffs (1988)
Liang, Q., Mendel, J.M.: Equalization of Nonlinear Time-Varying Channels Using Type-2 Fuzzy Adaptive Filters. IEEE Transactions on Fuzzy Systems 8, 551–563 (2000)
Lynch, C., Hagras, H., Callaghan, V.: Embedded Type-2 FLC for Real-Time Speed Control of Marine and Traction Diesel Engines. In: Proc. FUZZ-IEEE 2005, Reno, AZ, USA, May 2005, pp. 347–352 (2005)
Lynch, C., Hagras, H., Callaghan, V.: Parallel type-2 fuzzy logic co-processors for engine management. In: Proc. FUZZ-IEEE 2007, London, pp. 907–912 (2007)
Melgarejo, M., Pena-Reyes, C.: Hardware Architecture and FPGA Implementation of a Type-2 Fuzzy System. In: Proc. GLSVSLI 2004, Boston, Massachusetts, USA, April 2004, pp. 458–461 (2004)
Melin, P., Castillo, O.: Fuzzy Logic for Plant Monitoring and Diagnostics. In: Proc. NAFIPS 2003, July 2003, pp. 20–25 (2003)
Melin, P., Castillo, O.: Intelligent Control of Non-Linear Dynamic Plants Using Type-2 Fuzzy Logic and Neural Networks. In: Proc. FUZZ-IEEE 2004, Budapest, Hungary (July 2004)
Mendel, J.M.: Computing With Words, When Words Mean Different Things to Different People. In: Proc. of Third International ICSC Symposium on Fuzzy Logic and Applications, Rochester Univ., Rochester (1999)
Mendel, J.M.: The Perceptual Computer: an Architecture for Computing With Words. In: Proc. FUZZ-IEEE 2001, Melbourne, Australia (2001)
Mendel, J.M.: Uncertain Rule-Based Fuzzy Logic Systems: Introduction and New Directions. Prentice-Hall, Upper Saddle River (2001)
Mendel, J.M.: Fuzzy sets for words: a new beginning. In: Proc. FUZZ-IEEE 2003, St. Louis, MO, USA, pp. 37–42 (2003)
Mendel, J.M., John, R.I.: Type-2 Fuzzy Sets Made Simple. IEEE Transaction on Fuzzy Systems 10(2), 117–127 (2002)
Mendel, J.M., Liu, F.: On new quasi-type-2 fuzzy logic systems. In: FUZZ-IEEE 2008, Hong Kong (June 2008)
Mitchell, H.B.: Pattern Recognition Using Type-II Fuzzy Sets. Information Sciences 170, 409–418 (2005)
Mizumoto, M., Tanaka, K.: Some properties of fuzzy set of type-2. Information and control 31, 312–340 (1976)
Mizumoto, M., Tanaka, K.: Fuzzy Sets of Type 2 Under Algebraic Product and Algebraic Sum. Fuzzy Sets and Systems 5, 277–290 (1981)
Musikasuwan, S., Ozen, T., Garibaldi, J.M.: An investigation into the effect of number of model parameters on performance in type-1 and type-2 fuzzy logic systems. In: Proc. 10th Information Processing and Management of Uncertainty in Knowledge Based Systems (IPMU 2004), Perugia, Italy, pp. 1593–1600 (2004)
Ozen, T., Garibaldi, J.M.: Investigating Adaptation in Type-2 Fuzzy Logic Systems Applied to Umbilical Acid-Base Assessment. In: Proc. of the 2003 European Symposium on Intelligent Technologies, Oulu, Finland, July 2003, pp. 289–294 (2003)
Reznik, L.: Fuzzy Controllers. Reed Elsevier (1997)
Daniel, G.: Schwartz. The case for an interval-based representation of linguistic truth. Fuzzy Sets and Systems 17, 153–165 (1985)
Türkşen, I.B.: Interval-valued fuzzy sets and fuzzy connectives. Interval Computations 4, 35–38 (1993)
Türkşen, I.B.: Interval-valued fuzzy uncertainty. In: Proc. Fifth IFSA World Congress, Seoul, Korea, July 1993, pp. 35–38 (1993)
Türkşen, I.B.: Knowledge representation and approximate reasoning with type ii fuzzy sets. In: Proc. FUZZ-IEEE 1995, Yokohama, Japan, March 1995, vol. 2, pp. 1911–1917 (1995)
Türkşen, I.B.: Type 2 Representation and Reasoning for CWW. Fuzzy Sets and Systems 127, 17–36 (2002)
Wagner, C., Hagras, H.: zslices - towards bridging the gap between interval and general type-2 fuzzy logic. In: FUZZ-IEEE 2008, Hong Kong (June 2008)
Wu, D., Tan, W.W.: A Type-2 Fuzzy Logic Controller for the Liquid-level Process. In: Proc. FUZZ-IEEE 2004, Budapest, Hungary, July 2004, pp. 953–958 (2004)
Wu, H., Mendel, J.M.: Introduction to Uncertainty Bounds and Their Use in the Design of Interval Type-2 Fuzzy Logic Systems. In: Proc. FUZZ-IEEE 2001, Melbourne, Australia (2001)
Wu, H., Mendel, J.M.: Uncertainty bounds and their use in the design of interval type-2 fuzzy logic systems. IEEE Transactions on Fuzzy Systems 10, 622–639 (2002)
Zadeh, L.A.: Fuzzy Sets. Information and Control 8, 338–353 (1965)
Zadeh, L.A.: The Concept of a Linguistic Variable and its Application to Approximate Reasoning – I. Information Sciences 8, 199–249 (1975)
Zadeh, L.A.: The Concept of a Linguistic Variable and its Application to Approximate Reasoning – II. Information Sciences 8, 301–357 (1975)
Zadeh, L.A.: The Concept of a Linguistic Variable and its Application to Approximate Reasoning – III. Information Sciences 9, 43–80 (1975)
Zadeh, L.A.: Fuzzy Logic = Computing with Words. IEEE Transactions on Fuzzy Systems 4, 103–111 (1996)
Zadeh, L.A.: From Computing with Numbers to Computing with Words – From Manipulation of Measurements to Manipulation of Perceptions. IEEE Transactions on Circuits and Systems – I:Fundamental Theory and Applications 45, 105–119 (1999)
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John, R., Coupland, S. (2009). Type-2 Fuzzy Logic and the Modelling of Uncertainty in Applications. In: Bargiela, A., Pedrycz, W. (eds) Human-Centric Information Processing Through Granular Modelling. Studies in Computational Intelligence, vol 182. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-540-92916-1_8
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DOI: https://doi.org/10.1007/978-3-540-92916-1_8
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