Revistes Catalanes amb Accés Obert (RACO)

Capital budgeting problems with fuzzy cashflows

Christer Carlsson, Robert Fuller

Resum


We consider the {\em internal rate of return} (IRR) decision rule in capital budgeting problems with fuzzy cash flows.
The possibility distribution of the IRR at any $r\geq0$,is defined to be the degree of possibility that the (fuzzy) net present value of the project with discount factor $r$ equals to zero.
Generalizing our earlier results on fuzzy capital budegeting problems \cite{Car99} we
show that the possibility distribution of the {IRR} is a highly nonlinear function which is getting more and more unbalanced
by increasing imprecision in the future cash flow.
However, it is stable under small changes in the membership functions of fuzzy numbers
representing the lingusitic values of future cash flows.

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