Systems, Man & Cybernetics - January 2015 - 48

interval Type-2 fuzzy neural networks
(FNNs) [1]-[3]. However, due to the
lack of reference books for Type-2
fuzzy sets and Type-2 FLCs when
I started, I found it very difficult to
teach graduate students the theories
of Type-2 FLCs and Type-2 fuzzy logic
control systems. If this book were
available, then I definitely would have
asked my graduate students to do
some deeper research and application
work. There is only one minor point I
want to make: this book does not discuss interval Type-2 FNNs. I hope this
can be included in the next edition.

References

[15] J. C. Bezdek, "Feature selection for binary data-

[20] W. G. Wee, "On a generalization of adaptive algo-

separated clusters," J. Cybern., vol. 3, no. 3,

Medical diagnosis with fuzzy sets," in Proc. Nat. Com-

rithms and applications of the fuzzy set concept to

pp. 32-57, 1973.

puter Conf. Expo., June 7-10, 1976, pp. 1057-1068.

pattern classification," Purdue Univ., West Lafayette,

[25] J. C. Dunn, "Well-separated clusters and optimal

[16] J. C. Bezdek and P. Castelaz, "Prototype classifica-

IN, Tech. Rep. 67, 7, 1967.

fuzzy partitions," J. Cybern., vol. 4, no. 1, pp. 9-104, 1974.

tion and feature selection with fuzzy sets," IEEE Trans.

[21] R. H. Flake and B. L. Turner, "Numerical classifica-

[26] R. E. Bellman, R. Kalaba, and L. A. Zadeh, "Abstrac-

Syst., Man, Cybern., vol. 7, no. 2, pp. 87-92, 1977.

tion for taxonomic problems," J. Theoretical Biol., vol.

tion and pattern classification," RAND Corp., Santa

[17] L. E. Larsen, E. H. Ruspini, J. J. McNew, D. O. Wal-

20, no. 2, pp. 260-270, 1968.

Monica, CA, Memorandum RM-4307-PR, Oct. 1964.

ter, and W. R. Adey, "A test of sleep staging systems in

[22] I. Gitman and M. D. Levine, "An algorithm for

[27] E. H. Ruspini, "On the semantics of fuzzy logic," J.

the unrestrained chimpanzee," Brain Res., vol. 40, no.

detecting unimodal fuzzy sets and its application as a

Approx. Reas., vol. 5, no. 1, pp. 45-88, 1991.

2, pp. 319-343, 1972.

clustering technique," IEEE Trans. Comput., vol. C-19,

[28] E. H. Ruspini, "Automated generation of qualita-

[18] J. C. Bezdek, "Numerical taxonomy with fuzzy

no. 7, pp. 583-593, 1970.

tive representations of complex objects by hybrid soft

sets," J. Math. Biol., vol. 1, no. 1, pp. 57-71, 1974.

[23] E. H. Ruspini, "Numerical methods for fuzzy cluster-

computing methods," in Advances in Soft Computing

[19] R. E. Bellman, R. Kalaba, and L. A. Zadeh,

ing," Inform. Sci., vol. 2, no. 3, pp. 319-350, 1970.

(Lecture Notes in Pattern Recognition), S. K. Pal and

"Abstraction and pattern classification," J. Math. Anal.

[24] J. C. Dunn, "A fuzzy relative of the ISODATA

A. Pal, Eds. Singapore: World Scientific, 2001.

Appl., vol. 13, pp. 1-7, 1966.

process and its use in detecting compact well-

the reader to examine Type-1, interval
Type-2, and even general Type-2 FLCs.
In short, this book is a valuable
reference for engineers, computer
scientists, graduate students and
researchers who are interested in
Type-2 FLCs and Type-2 fuzzy logic
control systems. It provides major
motivations and examples to help
readers understand its technical
details. I have been fascinated by the
powerful capabilities of Type-2 FLCs
for ten years and have done research
work on the motion control of several complex nonlinear systems using

History

[1] F. J. Lin and P. H. Chou, "Adaptive control of twoaxis motion control system using interval type-2 fuzzy
neural network," IEEE Trans. Ind. Electron., vol. 56,
no. 1, pp. 178-193, 2009.
[2] F. J. Lin, P. H. Chou, P. H. Shieh, and S. Y. Chen,
"Robust control of an LUSM based X-Y-Theta motion
control stage using adaptive interval type-2 fuzzy neural network," IEEE Trans. Fuzzy Syst., vol. 17, no. 1,
pp. 24-38, 2009.
[3] F. J. Lin, S. Y. Chen, P. H. Chou, and P. H. Shieh,
"Interval type-2 fuzzy neural network control for X-Y-Theta motion control stage using linear ultrasonic motors,"
Neurocomputing, vol. 72, nos. 4-6, pp. 1138-1151, 2008.

(continued from page 27)

Society News

(continued from page 40)

◆ Loi Lei Lai, director, Research

and Development Center of the
State Grid Energy Research Institute, China, and vice president of
membership and student activities, IEEE SMCS
◆ Ferat Sahin, professor, Department of Electrical and Microelectronic Engineering, Rochester
Institute of Technology
◆ Weiming Shen, senior research
scientist, National Research
Council Canada, and ad junct
professor, University of Western
Ontario, Canada
◆ Michael Smith, visiting scholar
and member of the Advisory
Board of the Center for Neural
48

the speakers and coordinator of the CLS event in rochester: from left,
Liping Fang, Loi Lei Lai, Daniel yeung, CLS Coordinator Ferat Sahin, Larry Hall,
and mike Smith.

Engineering and Prosthesis, University of California, Berkeley
◆ Daniel Yeung, chair professor,
School of Computer Science and

IEEE SyStEmS, man, & CybErnEtICS magazInE Janu ar y 2015

Engineering, South China University of Technology, China.



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