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A formal model of interpretability of linguistic variables. (English) Zbl 1038.93050

Casillas, Jorge (ed.) et al., Interpretability issues in fuzzy modeling. Berlin: Springer (ISBN 3-540-02932-X/hbk). Stud. Fuzziness Soft Comput. 128, 524-545 (2003).
Summary: The present contribution is concerned with the interpretability of fuzzy rule-based systems. While this property is widely considered to be a crucial one in fuzzy rule-based modeling, a more detailed investigation of what “interpretability” actually means is still missing. So far, interpretability has often been associated with heuristic assumptions about shape and mutual overlapping of fuzzy membership functions. In this chapter, we attempt to approach this problem from a more general and formal point of view. First, we clarify what, in our opinion, the different aspects of interpretability are. Following that, we propose an axiomatic framework for the interpretability of linguistic variables (in Zadeh’s sense) which is underlined by examples and application perspectives.
For the entire collection see [Zbl 1015.00012].

MSC:

93C42 Fuzzy control/observation systems
93A05 Axiomatic systems theory
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