Please let me know if the following references/sites are useful to you in your quest:
1. Implementing Fuzzy Random Variables
https://www.soa.org/library/proceedings/arch/2013/arch-2013-iss1-shapiro-paper-implementing.pdfThree definitions of fuzzy random variables (FRVs) have been cited in the current ... 1 See Liu (2005), Chapters 2 and 3, for a more detailed discussion of the topics of .... realizations are assigned to each elementary event ωi ∈ Ω. Real valued ...
2. Fuzzy random variables — I. definitions and theorems — University
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https://research.utwente.nl/en/publications/fuzzy-random-variables-i-definitions-and-theoremsFuzzy random variables are introduced as random variables whose values are not real but fuzzy numbers, and subsequently redefined as a particular kind of ...
3. Generalized Variability Orderings among Nonnegative Fuzzy ...
https://www.hindawi.com/journals/aaa/2015/757943/Dec 7, 2015 ... Assessing the credibility of components in terms of their lifetime through fuzzy random variables is more realistic and appropriate because ...
Fuzzy random variables and IFS are the two side of the same coin. It depends on the problems and hoe you want to interpret it. Just like a half glass of water gives the example of IFS and same thing you want to interpret with the help of fuzzy random variables i.e level of water.