Advances in Mathematical Economics
Volume 19

Dublin Core

Title

Advances in Mathematical Economics
Volume 19

Subject

Advances in Mathematical Economics
Volume 19

Description

We study the integration of fuzzy level sets associated with a fuzzy
random variable when the underlying space is a separable Banach space or a
weak star dual of a separable Banach space. In particular, the expectation and the
conditional expectation of fuzzy level sets in this setting are presented. We prove
the SLLN for pairwise independent identically distributed fuzzy convex compact
valued level sets through the SLLN for pairwise independent identically distributed
convex compact valued random set in separable Banach space. Some convergence
results for a class of integrand martingale are also presented.

Creator

Shigeo Kusuoka
Toru Maruyama

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Citation

Shigeo Kusuoka Toru Maruyama, “Advances in Mathematical Economics Volume 19,” Portal Ebook UNTAG SURABAYA, accessed July 21, 2024, https://ebook.untag-sby.ac.id/items/show/40.