The existing studies of the interpretability of fuzzy systems have mainly focused on the analysis of the relation between a model of the fuzzy system and a human user considered as a beneficiary, i.e., a domain expert or a designer. Suggested by the concepts of "model" of formalized theories, "realization" of formalized language, and "interpretability" of a theory in another, this report presents a new approach to the fuzzy system interpretability. The new approach is grounded on the qualitative real-world semantics of words and relationships between the semantics of fuzzy system components and substructures of the real-world which the fuzzy systems are related to. Therefore, this approach is called real-world-semantics-based approach and it is aimed at characterizing the so-called real-world-semantics-based interpretability of fuzzy systems. It considers the actual semantics of all fuzzy system components, including the interpretability of the inference engine. Moreover, this new approach opens the door to a new way to study the interpretability of fuzzy systems.