This paper investigates a possible general setting for the fuzzy mathematics of finance. We consider two classes of fuzzy quantities and explore their links with the axiomatic models of financial evaluation. Following some general-purpose theorems about operations on fuzzy quantities, we provide conditions for a consistent fuzzy extension of present and future value, both with one and several capitals. Applications to the most common topics of financial mathematics are accordingly discussed. © 1990.
Towards a general setting for the fuzzy mathematics of finance
LI CALZI, Marco
1990-01-01
Abstract
This paper investigates a possible general setting for the fuzzy mathematics of finance. We consider two classes of fuzzy quantities and explore their links with the axiomatic models of financial evaluation. Following some general-purpose theorems about operations on fuzzy quantities, we provide conditions for a consistent fuzzy extension of present and future value, both with one and several capitals. Applications to the most common topics of financial mathematics are accordingly discussed. © 1990.File in questo prodotto:
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