April 2019
Intermediate to advanced
304 pages
7h 12m
English
Content preview from Fuzzy Set and Its Extension
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Beyond Your Doubts
- Consider a fuzzy set A defined in the interval x = [0,10] of integers by the membership function
. Find α‐cut corresponding to α = 0.4. - For two fuzzy sets: A = {(2,0.4), (4,0.5), (6,0.1)}, B = {(3,0.3), (7,0.5)}, compute the product A × B.
- Consider two fuzzy relations:
and 
.Compute the following: (i)
, (ii) 
, and (iii) 
. - For the relation,
,
compute first projection, second projection, and total projection.
- For the two fuzzy relations:
, 
,compute max‐average, max‐prod, and max‐min composition.
- Consider a fuzzy relation .
Find the transitive closure of the relation.
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