The internal rate of return of fuzzy cash flow

An internal rate of return (IRR) of an investment of financing project with cash flow (a₀, a₁, a₂,..., a_n) is usually defined as a rate of interest such that $$a_0 + a_{\text{1}} {\text{(1}} + r{\text{)}}^{ - 1} + ... + a_n (1 + r)^{ - n} = 0$$ . If the cash flow has one sign change then the previous equation has a unique solution τ>?1. Generally the IRR does not extend to fuzzy cash flows, as it can be seen with examples (see 2]). In this paper we show that under suitable hypotheses a unique fuzzy IRR exists for a fuzzy cash flow.