September 2014
Intermediate to advanced
632 pages
21h 5m
English
Content preview from Soft Computing and Its Applications, Volume One
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Fuzzy Sets, Fuzzy Operators, and Fuzzy Relations 129
express uncertainty, have their values in the range of [0, 1], and have similarities in
many aspects. In this section, we review the definition of the two theories and compare
them [172].
2.12.1 PROBABILITY THEORY
Probability theory deals with the probability for an element to occur in universal set.
We call the element as event and the set of possible events as sample space. In the
sample space, the elements, that is, events are mutually exclusive.
Example 2.47 When we play a six-side-dice, the sample space is
{ }
6 ,5 ,4 ,3 ,2 ,1=S
. Among these six events, only one event can occur. The probability ...
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