September 2014
Intermediate to advanced
632 pages
21h 5m
English
Content preview from Soft Computing and Its Applications, Volume One
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44 Soft Computing and Its Applications
If A is not a fuzzy number then there exists an [0, 1] such that is not a
convex subset of R (See Figure 12).
FIGURE 12 Representation of Not fuzzy number.
Denition 2.11 A fuzzy set A is called triangular fuzzy number A = (a, α, β) with
peak (or center) at a, left width 0 and right width 0 if its membership func-
tion has the following form
μ(x) =
(2.19)
It can easily be veried that
= [a - (1 - ) , a + (1 - ) ], [0, 1]. (2.20)
The support of A is (a - , b +
FIGURE 13 Triangular fuzzy number.
Fuzzy Sets, Fuzzy Operators, and Fuzzy Relations 45
A triangular fuzzy number with center at a may ...
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