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5.4 Calculate the following operations of triangular fuzzycut operationА 3 (1, 3, 8), В (2, 4, 5)а) А (+) Вb) A Bsets by usingс) А () Вd) A Be) Af)A (V) BA (A) Bg)

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5.4 the book is "First Course on Fuzzy Theory and Applications"

please, I need the solution of part  e, f, and g

5.4 Calculate the following operations of triangular fuzzy
cut operation
А 3 (1, 3, 8), В (2, 4, 5)
а) А (+) В
b) A B
sets by using
с) А () В
d) A B
e) A
f)
A (V) B
A (A) B
g)
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5.4 Calculate the following operations of triangular fuzzy cut operation А 3 (1, 3, 8), В (2, 4, 5) а) А (+) В b) A B sets by using с) А () В d) A B e) A f) A (V) B A (A) B g)

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Step 1

Consider the following given fuzzy sets:

A(1,3,8) and B -(2,4,8)
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A(1,3,8) and B -(2,4,8)

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Step 2

Now use the formulas:

А, - [(а, -а,)а-а, (а, - а,)а-а,]
- (3-1)а+1.(8-3)а -8]
- [2а +1,5а + 8]
В. - [(ъ, - b)а-b. (b, - b,)a+b,|
- [(4-2) а+2.(5-4)a +5]
- [2а + 2, а +5]
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А, - [(а, -а,)а-а, (а, - а,)а-а,] - (3-1)а+1.(8-3)а -8] - [2а +1,5а + 8] В. - [(ъ, - b)а-b. (b, - b,)a+b,| - [(4-2) а+2.(5-4)a +5] - [2а + 2, а +5]

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Step 3

Now, consider (e) part and use...

1 1
ΕΓ.
Η::1.
A-[2α+1, 5α + 8]"
1
1
1
1
2α+15α + 8'2α+1 5α+8
1
1
5α+8'2α+1,
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1 1 ΕΓ. Η::1. A-[2α+1, 5α + 8]" 1 1 1 1 2α+15α + 8'2α+1 5α+8 1 1 5α+8'2α+1,

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