Show the following set is convex. x≤10 [(1+(x-10)-²)¹ x>10 Determine a-cut sets of the above set for a=0.5, 0.8 and 0.9. μ₁(x) = { = { a+ (x-16

Elements Of Modern Algebra
8th Edition
ISBN:9781285463230
Author:Gilbert, Linda, Jimmie
Publisher:Gilbert, Linda, Jimmie
Chapter1: Fundamentals
Section1.2: Mappings
Problem 5TFE: Label each of the following statements as either true or false. Let f:AB. Then f(A)=B for all...
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Show the following set is convex.
x<10
= (x)"r
|(1+(x–10)¯²) x>10
Determine a-cut sets of the above set for a=0.5, 0.8 and 0.9.
Transcribed Image Text:Show the following set is convex. x<10 = (x)"r |(1+(x–10)¯²) x>10 Determine a-cut sets of the above set for a=0.5, 0.8 and 0.9.
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