Looking for a real-world-semantics-based approach to the interpretability of fuzzy systems

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, the main contribution of this paper is the proposal of a new approach to the fuzzy system interpretability. This is grounded on the qualitative real-world semantics of words and relationships between the semantics of fuzzy system components and substructures of their real-world counterparts. Thus, we introduce a novel real-world-semantics-based approach. It is aimed at characterizing the so-called real-world-semantics-based interpretability of fuzzy systems. In addition, it considers the actual semantics of all fuzzy system components, including the inference engine. Moreover, this new approach opens the door to a new way to study the interpretability of fuzzy systems.