Capital budgeting problems with fuzzy cash flows.

Christer Carlsson; Robert Fuller

Mathware and Soft Computing (1999)

  • Volume: 6, Issue: 1, page 81-89
  • ISSN: 1134-5632

Abstract

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We consider the internal rate of return (IRR) decision rule in capital budgeting problems with fuzzy cash flows. The possibility distribution of the IRR at any r ≥ 0, 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 [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.

How to cite

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Carlsson, Christer, and Fuller, Robert. "Capital budgeting problems with fuzzy cash flows.." Mathware and Soft Computing 6.1 (1999): 81-89. <http://eudml.org/doc/39143>.

@article{Carlsson1999,
abstract = {We consider the internal rate of return (IRR) decision rule in capital budgeting problems with fuzzy cash flows. The possibility distribution of the IRR at any r ≥ 0, 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 [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.},
author = {Carlsson, Christer, Fuller, Robert},
journal = {Mathware and Soft Computing},
keywords = {Econometría; Matemática financiera; Lógica difusa; Teoría de la decisión; Control óptimo; Conjuntos difusos; internal rate of return},
language = {eng},
number = {1},
pages = {81-89},
title = {Capital budgeting problems with fuzzy cash flows.},
url = {http://eudml.org/doc/39143},
volume = {6},
year = {1999},
}

TY - JOUR
AU - Carlsson, Christer
AU - Fuller, Robert
TI - Capital budgeting problems with fuzzy cash flows.
JO - Mathware and Soft Computing
PY - 1999
VL - 6
IS - 1
SP - 81
EP - 89
AB - We consider the internal rate of return (IRR) decision rule in capital budgeting problems with fuzzy cash flows. The possibility distribution of the IRR at any r ≥ 0, 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 [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.
LA - eng
KW - Econometría; Matemática financiera; Lógica difusa; Teoría de la decisión; Control óptimo; Conjuntos difusos; internal rate of return
UR - http://eudml.org/doc/39143
ER -

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