Authors | P. Raja, Arya Aghili-Ashtiani |
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Journal | Fuzzy Sets and Systems |
Page number | 1-12 |
Serial number | 108682 |
Volume number | 471 |
Paper Type | Original Research |
Published At | November 2023 |
Journal Grade | ISI (WOS) |
Journal Type | Typographic |
Journal Country | Netherlands |
Abstract
Abstract
Making a fuzzy relational model (FRM) g-normal by a specific configuration of the FRM and putting some constraints on both its fuzzifier and its fuzzy relational matrix, results in some favorite features at the expense of loosing some degrees of freedom. In this paper, we show that the g-normal fuzzy relational modeling structure has the universal approximation property despite all the constraints that makes the model g-normal. Indeed, we prove that any real function in Lp (including continuous functions) can be modeled by a g-normal model with any arbitrary accuracy when the universe of discourse is a compact set.
Keywords
Lp spaces; Dense sets; Universal approximation; Fuzzy relational systems; Yager-product fuzzy relational inner composition
https://doi.org/10.1016/j.fss.2023.108682
tags: Lp spaces; Dense sets; Universal approximation; Fuzzy relational systems; Yager-product fuzzy relational inner composition