Midpoint Representation of Fuzzy-Valued Functions and Applications

被引：0

作者：

Amicizia, Benedetta ^{[1
]}

Guerra, Maria Letizia ^{[2
]}

Shahidi, Mina ^{[3
]}

Sorini, Laerte ^{[4
]}

Stefanini, Luciano ^{[4
]}

机构：

[1] Univ Urbino Carlo Bo, DiSPeA, Urbino, Italy

[2] Univ Bologna, Dept Stat P Fortunati, Bologna, Italy

[3] IASBS Inst, Dept Math, Zanjan, Iran

[4] Univ Urbino Carlo Bo, DESP, Urbino, Italy

来源：

2020 IEEE INTERNATIONAL CONFERENCE ON FUZZY SYSTEMS (FUZZ-IEEE) | 2020年

关键词：

INTERVAL-ANALYSIS; CALCULUS; DIFFERENTIABILITY;

D O I：

10.1109/fuzz48607.2020.9177808

中图分类号：

TP18 [人工智能理论];

学科分类号：

081104 ; 0812 ; 0835 ; 1405 ;

摘要：

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.

引用

页数：8

共 50 条

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