Possibilistic Fuzzy Net Present Value Model and Application

Table 4

Fuzzy cash flow and corresponding 𝛼-cuts, ∀,𝛼,0≤𝛼≤1.

Year (𝑖)	Fuzzy cash flows	Corresponding 𝛼-cuts
0	[800,900,1000,1050]𝑂(𝑚0,𝑛0)	(900−100(1−𝛼)^1/𝑚0,1000+50(1−𝛼)^1/𝑛0)
1	[400,500,600,650]𝑂(𝑚1,𝑛1)	(500−100(1−𝛼)^1/𝑚1,600+50(1−𝛼)^11/𝑛)
2	[300,350,400,450]22)𝑂(𝑚,𝑛	(350−50(1−𝛼)^1/𝑚2,400+50(1−𝛼)^21/𝑛)
3	[100,150,200,250]𝑂(𝑚3,𝑛3)	(150−50(1−𝛼)^1/𝑚3,200+50(1−𝛼)^31/𝑛)
4	[200,250,300,350]44)𝑂(𝑚,𝑛	(250−50(1−𝛼)^1/𝑚4,300+50(1−𝛼)^41/𝑛)