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Abstract
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It would be useful to construct uncertain sets using set operations applied on other
uncertain sets. When the membership functions of the components are known, finding
the membership function of the produced uncertain set is straightforward. However,
when only the inverse membership functions of components are available, one must first
find the membership functions and then use the known relations. Here, we establish the
relation between the inverse membership function of the produced uncertain set and its
component’s inverse membership functions. Some simple examples verify the findings.
We also denote how it can be used to easily calculate expected value of such an uncertain
set just by using the inverse membership functions of its components.
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