New Concepts Related to Non-Stationary Fuzzy Sets
Jonathan M. Garibaldi, Marcin Jaroszewski, Salang Musikasuwan · Proceedings of ... IEEE International Conference on Fuzzy Systems · 2007
In this paper, formal definitions of the concepts relevant to non-stationary fuzzy sets are provided, as well as definitions of the basic non-stationary fuzzy set operators with proofs of selected properties of these operators. Among the novel terms introduced are the footprint of instantiations, the domain of instantiations and the temporal histogram. Further, we discuss the correspondence between non-stationary and type-2 fuzzy sets, and make the first attempt at proposing a set of comparable terms.