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

Benedetta Amicizia
;
Laerte Sorini
;
Luciano Stefanini
;
Maria Letizia Guerra
2020-01-01

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
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/11576/2299372
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