The formation of algal solutions in surface water is strongly dependent on pH of water, temperature and oxygen content. T is a set of water temperature from a lake given by T={50, 55, 60} and O is oxygen values in water given by O={1, 2, 6}. The fuzzy set of T is given by {0.7 / 50+0.8 / 55+0.9 / 60} and fuzzy set of O is given by {0.1 / 1+0.6/ 2+0.8 /6} -

i) Find R=T×O for Given I=(0.5/ 50 +1/ 55+0.7/60} -

ii) Find S=I o R using max- product composition -

iii) Find S= I o R using max-min composition -

Mumbai University > Computer Engineering > Sem 7 > Soft Computing

Marks: 4 Marks

Year: Dec 2015

Suppose a Cartesian product is performed between specific fuzzy sets T and Q defined on T and Q to produce the following relation:

$\hspace {4cm} 1\ \ \ \ \ \ \ \ \ 2\ \ \ \ \ \ \ 6$

$R=T\times O=\begin {matrix} 50\\55\\60\\ \end {matrix}\begin{bmatrix} 0.1 & 0.2 & 0.9 \\ 0.1 & 1 & 0.7 \\ 0.8 & 0.7 & 0.1 \end{bmatrix}$