Limit theorems for fuzzy random variables

EP Klement, ML Puri… - Proceedings of the …, 1986 - royalsocietypublishing.org
fuzzy sets rather than numbers. The strong law of large numbers (slln) and the central limit
theorem (clt) for fuzzy random variables … After some preliminaries on random sets introduced …

Limit theorems for fuzzy-random variables

V Krätschmer - Fuzzy sets and systems, 2002 - Elsevier
limit theorems which should be related to fixed concepts of convergence and measurability
in the fuzzy … the unified notion of fuzzy-random variable and restrict ourselves to fuzzyrandom

The central limit theorems for fuzzy random variables

HC Wu - Information Sciences, 1999 - Elsevier
… The new concept of the central limit theorem for fuzzy random variables is discussed in this
… distribution for fuzzy random variables. We first consider the limit properties of fuzzy numbers …

[图书][B] Limit theorems and applications of set-valued and fuzzy set-valued random variables

S Li, Y Ogura, V Kreinovich - 2013 - books.google.com
fuzzy set-valued random variables, and who are working in the different application areas. …
of limit theorems for set-valued random variables and fuzzy set-valued random variables, as …

Fuzzy random variables—I. Definitions and theorems

H Kwakernaak - Information sciences, 1978 - Elsevier
… as defined in the present paper is not fuzzy, in contrast to the linguistic … Fuzzy probabilities
arise in the present paper as a result of certain fuzzy events relating to fuzzy random variables (…

Some inequalities and limit theorems for fuzzy random variables adopted with -values of fuzzy numbers

G Hesamian, MG Akbari, V Ranjbar - Soft Computing, 2020 - Springer
theorems were investigated for fuzzy random variables. The … convergence theorems was
also discussed in the fuzzy environment. … requirements for such limit theorems and inequalities …

Fuzzy random variables

AF Shapiro - Insurance: Mathematics and Economics, 2009 - Elsevier
… One important facet of this relationship is the fuzzy random variable (FRV), which is a … the
set of fuzzy variables. FRVs also have been referred to as random fuzzy sets and random upper …

Fuzzy random variables revisited

DA Ralescu - … of 1995 IEEE International Conference on Fuzzy …, 1995 - ieeexplore.ieee.org
limit theorems for fuzzy random variables (eg strong law of large numbers and central limit
theorem… (SLLN) for fuzzy random variables in W". Independently, Kruse [ll] proved an SLLN for …

T-norm-based limit theorems for fuzzy random variables

S Wang, J Watada - Journal of Intelligent & Fuzzy Systems, 2010 - content.iospress.com
… derive some limit theorems of fuzzy random variables under the … convergence theorems for
the sum of fuzzy random variables … Then, a law of large numbers for fuzzy random variables is …

A central limit theorem for fuzzy random variables

SB Boswell, MS Taylor - Fuzzy Sets and Systems, 1987 - Elsevier
random variables. It is shown that a sum or mean of independent fuzzy random variables
converges in the limit to a fuzzy … conventional central limit theorem for real random variables, …