
368 Chapter 8 Fuzzy InFormatIon retrIeval
Case 6: For C
2mean
< X < C
3mean
, Y = mX + b, where Y = degree of member-
ship, X = price, m = slope [(Y
2
-Y
1
)/(X
2
- X
1
)], b = Y-axis intercept, X
1
=
C
2mean
, Y
1
= 1, X
2
= C
3mean
, and Y
2
= 0.
The membership function for any attribute being concentrated is obtained
by combining all the membership functions covering each category of the
attribute values. In the book table, combining all the membership functions
representing all three categories (C
1
, C
2
, and C
3
) enables the formulation of the
complete fuzzy membership function of the attribute price as shown in Figure
8.17. This function covers a complete ...