We present new results in the calculus for fuzzy-valued functions of a single real variable. We adopt extensively the midpoint-radius representation of intervals in the real half-plane and show its usefulness in fuzzy calculus. Concepts related to convergence and limits, continuity, level-wise gH-differentiability have interesting and useful midpoint expressions. Partial orders for fuzzy numbers and extremal points (min and max) for fuzzy functions associated to a partial order are discussed and analysed in detail. Graphical examples and pictures accompany the presentation.
Midpoint representation of fuzzy-valued functions and applications / Amicizia B.; Guerra M.L.; Shahidi M.; Sorini L.; Stefanini L.. - ELETTRONICO. - 2020-:(2020), pp. 9177808.1-9177808.8. (Intervento presentato al convegno 2020 IEEE International Conference on Fuzzy Systems, FUZZ 2020 tenutosi a Glasgow, UK nel JULY 2020) [10.1109/FUZZ48607.2020.9177808].
Midpoint representation of fuzzy-valued functions and applications
Guerra M. L.Methodology
;
2020
Abstract
We present new results in the calculus for fuzzy-valued functions of a single real variable. We adopt extensively the midpoint-radius representation of intervals in the real half-plane and show its usefulness in fuzzy calculus. Concepts related to convergence and limits, continuity, level-wise gH-differentiability have interesting and useful midpoint expressions. Partial orders for fuzzy numbers and extremal points (min and max) for fuzzy functions associated to a partial order are discussed and analysed in detail. Graphical examples and pictures accompany the presentation.I documenti in IRIS sono protetti da copyright e tutti i diritti sono riservati, salvo diversa indicazione.
