Errata of Neuro-Fuzzy and Soft Computing

by J.-S. R. Jang, C.-T. Sun, and E. Mizutani

1.
Page 30: The first equation should be changed from $F_L(x) = \max(0, \sqrt{1-x^2})$ to $F_L(x) = \sqrt{\max(0, 1-x^2)}$.
2.
Page 70, exercise 3: ``other typoes'' should be ``max-product''.
3.
Page 70, exercise 5: ``old and new'' should be ``young and old''; ``triangular MFs'' should be ``Gaussian MFs''. The equations should also be changed to

\begin{displaymath} \mu_{\mbox{young}}(x)=\mbox{gaussian}(x,0,20)= e^{-\frac{\t... ...tstyle 2} \left(\frac{\textstyle x}{\textstyle 20}\right)^2}, \end{displaymath}

\begin{displaymath} \mu_{\mbox{old}}(x)=\mbox{gaussian}(x,100,30)= e^{-\frac{\t... ...le 2} \left(\frac{\textstyle x-100}{\textstyle 30}\right)^2}. \end{displaymath}

4.
Page 70, exercise 6: ``old and samll'' should be ``young and old''.
5.
Page 80, line 2: fuzzy mam21 should be changed to ruleview mam21.
6.
Page 113, line 8: (m+1)th should be (k+1)th.
7.
Page 114: $\mbox{\boldmath$\theta$}_n$ in the first line of equation (5.47) should be $\mbox{\boldmath$\theta$}_k$. Also the first a in equation (5.49) should be bold.
8.
Page 115: P0 in equation (5.51) should be P0-1.
9.
Page 126: b in Eq. (5.71) and the last equation in the same page should be y. Also ${\bf x}$ in the last equation should be $\mbox{\boldmath$\theta$}$.
10.
Page 127: The last equation in Exercise 12 should be $ \Vert e_{\mbox{post}} \Vert = \frac{\textstyle \Vert e_{\mbox{prior}} \Vert} {\textstyle 1+{\bf a}^T {\bf P}_k {\bf a}} < \Vert e_{\mbox{prior}}\Vert. $
11.
Page 133: The second paragraph of Section 6.3: ``When ${\bf G} = \eta {\bf I}$, with some positive value $\eta$ and the identity matrix ${\bf I}$'' should be changed to ``When ${\bf G} = {\bf I}$ (the identity matrix)''.
12.
Page 135, line 17: ${\bf G}=-{\bf H}^{-1}$ should be changed to ${\bf G}={\bf H}^{-1}$.
13.
Page 136: $ {\bf T} = \left[ \begin{array} {cc} \sqrt{5} & 0 \\ 0 & \sqrt{5} \\ \end{array} \right] $ should be changed to $ {\bf T} = \left[ \begin{array} {cc} 1 & 0 \\ 0 & \sqrt{5} \\ \end{array} \right]. $
14.
Page 138, line 5 from bottom: ``LM(0.5) when $\lambda=0.5$ and LM(2.0) when $\lambda=2.0$'' should be changed to ``LM(1) when $\lambda=1$ and LM(4) when $\lambda=4$''. Similarly, LM(0.5) and LM(2.0) in the caption and plot (c) of Figure 6.6 should be changed to LM(1) and LM(4), respectively.
15.
Page 145, line 9 from bottom: ``one-third'' should be changed to ``two-thirds''.
16.
Page 153: ``gkT'' in the denominator of the last equation should be changed to ``gk''.
17.
Page 161: The first J in the last equation should be JT.
18.
Page 215: $\frac{\textstyle \partial^+ x_3}{\textstyle \partial a}$ in Equation (8.18) should be $\frac{\textstyle \partial^+ x_i}{\textstyle \partial a}$.
19.
Pages 217 and 218: The weight between node 4 and 6 of Figure 8.16 and 8.17 should be w64.
20.
Page 311, line 5 from bottom: ``steepest-descent'' should be ``steepest-ascent''; ``minimizes'' should be ``maximizes''.
21.
Page 313, line 9 from bottom: ${\bf u}_{i}$ should be ${\bf u}$.
22.
Page 314: pi in the second and third equations should be changed to qi.
23.
Page 314, line 10 from bottom: the second ${\bf x}_1$ should be changed to ${\bf x}_n$.
24.
Page 329, line 1: ``descent'' should be ``ascent''; ``minimizing'' should be ``maximizing''.
25.
Page 373, line 3 from bottom: ``illustrating the simplified contours'' should be deleted.
26.
Page 374: C2i+j in the first equation should be changed to C4(i-1)+j.

27.
Page 426: the summation subscripts in Eq. (15.6) and (15.7) should be j=1 instead of j only.

If you find any typos/mistakes, please let us know via email at jang@cs.nthu.edu.tw. Thanks!
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