Errata on "GA-fuzzy modeling and classification: complexity and performance" and "Compact and transparent fuzzy models and classifiers through iterative complexity reduction"

The authors would like to correct a typing error that repeatedly appeared in their work in [ibid., vol. 8, pp. 509-522, Oct. 2000] and [ibid., vol. 9, pp. 516-524, Aug. 2001], and, thereafter, also in J. Nunez-Garcia and O. Wolkenhauer's "Random set system identification," [IEEE Trans. Fuzzy Syst., vol. 10, pp. 287-296, June 2002] and the authors' contribution "The practical handbook of genetic algorithms: Applications" [in Compact Fuzzy Models and Classifiers Through Model Reduction and Evolutionary Optimization, 2nd ed, L. Chambers, Ed. Boca Raton, FL: CRC, 2000, ch. 1, pp. 31-59]. Namely, in several papers, they applied the data from L. Wang and J. Yen (1998 & 1999) as a benchmark problem. Unfortunately, the dynamic model equation (1), corrected here, was incorrectly repeated and duplicated due to a typing error that appeared in the first of the above-named articles, i.e., a '+' operator is missing in [eq. 11, p. 513]. Thereafter, it was wrongly duplicated in the second named article [eq. 13, p. 519], and in the other works as noted. Concluding, the correct equation (1) is given here.