August 2009
Intermediate to advanced
354 pages
10h 10m
English
Content preview from Knowledge-Based Systems
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138 Chapter 5 Fuzzy LogiC
5.8 FUZZY RELATIONSHIPS
Consider the set of machines, M, and the set of people, P, defined as fol-
lows:
M = {set of all machines in a domain}
e.g., M = {m
1
, m
2
, m
3
, …, m
n
} where n is a finite small number
P = {set of people}
e.g., P = {p
1
, p
2
, p
3
, …, p
k
} where k is a finite small number
If the machines of set M are used by the people of set P, the relationship,
R, can be defined as a relationship of M *P and identified with the “used by”
phrase. Here, R is a subset of M *P and denoted as R ⊂ M *P. The individual
relationship can be presented as follows:
(p
1
, m
1
), (p
2
, m
2
), (p
3
, m
3
),….
Such relationships are crisp in nature ...
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