James J. Buckley
Department of Mathematics, University of Alabama at Birmingham, Birmingham, Al 35209, USA
[ 1 ] - PRICING STOCK OPTIONS USING FUZZY SETS
We use the basic binomial option pricing method but allow someor all the parameters in the model to be uncertain and model this uncertaintyusing fuzzy numbers. We show that with the fuzzy model we can, with areasonably small number of steps, consider almost all possible future stockprices; whereas the crisp model can consider only n + 1 prices after n steps.
[ 2 ] - SIMULATING CONTINUOUS FUZZY SYSTEMS: I
In previous studies we first concentrated on utilizing crisp simulationto produce discrete event fuzzy systems simulations. Then we extendedthis research to the simulation of continuous fuzzy systems models. In this paperwe continue our study of continuous fuzzy systems using crisp continuoussimulation. Consider a crisp continuous system whose evolution depends ondifferential equations. Such a ...
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