We illustrate a preliminary proposal of weighted fuzzy averages between two membership functions. Conflicts, as well as agreements, between the different sources of information in the two new operators are endogenously embedded inside the average weights. The proposal is motivated by the practical problem of assessing the fuzzy volatility parameter in the Black and Scholes environment via alternative estimators.

Smart Fuzzy Weighted Averages of Information Elicited through Fuzzy Numbers

CAPOTORTI, Andrea;FIGA' TALAMANCA, GIANNA
2014

Abstract

We illustrate a preliminary proposal of weighted fuzzy averages between two membership functions. Conflicts, as well as agreements, between the different sources of information in the two new operators are endogenously embedded inside the average weights. The proposal is motivated by the practical problem of assessing the fuzzy volatility parameter in the Black and Scholes environment via alternative estimators.
2014
978-3-319-08795-5
978-3-319-08794-8
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/11391/1229709
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