Abstract
In this paper, we present the definition of λ-fuzzy signed measure, its generalized transform function, and the distribution properties of λ-fuzzy measures. Then investors’ heterogeneity is revealed with a family of λ-fuzzy measures. The approach to asset pricing based on λ-fuzzy measures breaks through the traditional ”identical rationality” assumption, and provides an useful analytical tool for recent researches of behavioral economics and finance.
The research is supported by National Natural Science Foundation of China, titled as ”Research on the pricing methods of options based on the fuzzy measures” (70271010).
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© 2006 Springer-Verlag Berlin Heidelberg
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Han, L., Chen, W. (2006). The Generalization of λ-Fuzzy Measures with Application to the Fuzzy Option. In: Wang, L., Jiao, L., Shi, G., Li, X., Liu, J. (eds) Fuzzy Systems and Knowledge Discovery. FSKD 2006. Lecture Notes in Computer Science(), vol 4223. Springer, Berlin, Heidelberg. https://doi.org/10.1007/11881599_93
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DOI: https://doi.org/10.1007/11881599_93
Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-540-45916-3
Online ISBN: 978-3-540-45917-0
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