ARITHMETIC-BASED FUZZY CONTROL

[1] S. Assilian, Articial intelligence in the control of real dynamical systems, Ph.D. Thesis,
London University, Great Britain, 1974.
[2] J. Dombi, Pliant arithmetics and pliant arithmetic operations, Acta Polytechnica Hungarica,
6(5) (2009), 19{49.
[3] D. Driankov, H. Hellendoorn and M. Reinfrank, An introduction to fuzzy control, Springer
Science & Business Media, Berlin, 2013.
[4] D. Dubois and H. Prade, Operations on fuzzy numbers, Int. J. Systems Science, 9 (1978),
613{626.
[5] D. Dubois and H. Prade, Fuzzy members: An overview, Analysis of Fuzzy Information, Vol.
I., CRC Press, Boca Raton, FL, (1987), 3{39.
[6] D. Dubois and H. Prade, Special issue on fuzzy numbers, Fuzzy Sets and System, 24 (3),
1987.
[7] D. Filev and R.Yager, A generalized defuzzication method via BAD distributions, Internat.
J. Intell. Systems, 6 (1991), 689{697.
[8] R. Fuller and R. Mesiar, Special issue on fuzzy arithmetic, Fuzzy Sets and System, 91(2)
(1997).
[9] R. Jain, Tolerance analysis using fuzzy sets, International Journal of Systems Science, 7(12)
(1976), 1393{1401.

[10] T. Jiang and Y. Li, Generalized defuzzication strategies and their parameter learning pro-
cedures, IEEE Trans. Fuzzy Systems, 4 (1996), 64{71.
[11] A. Kaufmann and M. M. Gupta, Introduction to fuzzy arithmetic: theory and applications,
Van Nostrand Reinhold, New York, 1985.
[12] A. Kaufmann and M. M. Gupta, Fuzzy mathematical models in engineering and management
science, North-Holland, Amsterdam, 1988.
[13] E. Mamdani, Application of fuzzy algorithms for control of simple dynamic plant, Proc. IEE,
121 (1974), 1585{1588, .
[14] M. Mares, Computation over fuzzy quantities, CRC Press, Boca Raton, FL, 1994.
[15] M. Mizumoto and K. Tanaka, The four operations of arithmetic on fuzzy numbers, Systems
Comput. Controls, 7(5) (1976), 73{81.
[16] M. Mizumoto and K. Tanaka, Algebraic properties of fuzzy numbers, Proc. Int. Conf. On
Cybernetics and Society, Washington, DC, (1976), 559{563.
[17] S. Nahmias, Fuzy variables, Fuzzy Sets and System, 1 (1978), 97{110.
[18] H. T. Nguyen, A note on the extension principle for fuzzy sets, J. Math. Anal. Appl., 64
(1978), 369{380.
[19] A. Patel and B. Mohan, Some numerical aspects of center of area defuzzication method,
Fuzzy Sets and Systems, 132 (2002), 401{409.
[20] S. Roychowdhury and B.-H.Wang, Cooperative neighbors in defuzzication, Fuzzy Sets and
Systems,78 (1996), 37{49.
[21] S. Roychowdhury and W. Pedrycz, A survey of defuzzication strategies, Internat. J. Intell.
Systems, 16 (2001), 679{695.
[22] A. Sakly and M. Benrejeb, Activation of trapezoidal fuzzy subsets with dierent inference
methods, International Fuzzy Systems Association World Congress, Springer Berlin Heidel-
berg, (2003), 450{457.
[23] Q. Song and R. Leland, Adaptive learning defuzzication techniques and applications, Fuzzy
Sets and Systems, 81 (1996), 321{329.
[24] M. Sugeno, Industrial Applications of Fuzzy Control, Elsevier Science Publishers, New York,
1985.
[25] E. Van Broekhoven and B. De Baets, Fast and accurate centre of gravity defuzzication of
fuzzy system outputs dened on trapezoidal fuzzy partitions, Fuzzy Sets and Systems, 157
(2006), 904{918.
[26] W. Van Leekwijck and E. Kerre, Defuzzication: criteria and classication, Fuzzy Sets and
Systems, 108 (1999), 159{178.
[27] R. Yager and D. Filev, SLIDE: a simple adaptive defuzzication method, IEEE Trans. Fuzzy
Systems, 1 (1993), 69{78.
[28] R. C. Young, The algebra of many-valued quantities, Math. Ann., 104 (1931), 260{290.
[29] L. A. Zadeh, The concept of a linquistic variable and its application to approximate reasoning,
Information Sciences, 1(8) (1975), 199{249.