Advances in Mathematical Economics
Volume 19
Dublin Core
Title
Advances in Mathematical Economics
Volume 19
Volume 19
Subject
Advances in Mathematical Economics
Volume 19
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.
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
Toru Maruyama
Files
Collection
Citation
Shigeo Kusuoka
Toru Maruyama, “Advances in Mathematical Economics
Volume 19,” Portal Ebook UNTAG SURABAYA, accessed May 6, 2024, https://ebook.untag-sby.ac.id/items/show/40.